{ "cells": [ { "cell_type": "markdown", "id": "22f527db", "metadata": { "papermill": { "duration": 0.004792, "end_time": "2026-06-13T03:12:53.177866+00:00", "exception": false, "start_time": "2026-06-13T03:12:53.173074+00:00", "status": "completed" } }, "source": [ "**Docker image**: `ml4t`" ] }, { "cell_type": "markdown", "id": "4f8902ab", "metadata": { "papermill": { "duration": 0.004128, "end_time": "2026-06-13T03:12:53.186848+00:00", "exception": false, "start_time": "2026-06-13T03:12:53.182720+00:00", "status": "completed" } }, "source": [ "# Label Engineering Methods\n", "\n", "**Chapter 7: Defining the Learning Task**\n", "**Section Reference**: 7.2 - Label Engineering\n", "\n", "## Purpose\n", "\n", "This notebook demonstrates **all major labeling methods** for ML-based trading\n", "strategies, with practical examples on real ETF data. It serves as the canonical\n", "reference for choosing and configuring labels across all modeling chapters.\n", "\n", "## Learning Objectives\n", "\n", "1. Understand fixed-horizon vs path-dependent labels\n", "2. Compare time-series vs **cross-sectional** percentile approaches\n", "3. Implement triple-barrier with fixed and ATR-based thresholds\n", "4. Visualize barrier mechanics with price path examples\n", "5. Understand anchor alignment (close-to-close vs next-open)\n", "\n", "## Prerequisites\n", "\n", "- `01_data_quality_diagnostics` — establishes the ETF coverage assumptions used here.\n", "- Familiarity with leakage-aware splitting (Chapter 6 §6.3) and forward-return semantics.\n", "- Polars DataFrame manipulation; basic statistics (t-statistics, percentiles).\n", "\n", "## Data Contract\n", "\n", "- **Input**: Real ETF OHLCV from data loaders (SPY for single-asset, full universe for cross-sectional)\n", "- **Output**: Example labels for teaching (use `compute_labels()` for production)" ] }, { "cell_type": "code", "execution_count": 1, "id": "ac2d7e47", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:53.193511Z", "iopub.status.busy": "2026-06-13T03:12:53.193350Z", "iopub.status.idle": "2026-06-13T03:12:55.727385Z", "shell.execute_reply": "2026-06-13T03:12:55.726929Z" }, "papermill": { "duration": 2.538952, "end_time": "2026-06-13T03:12:55.728446+00:00", "exception": false, "start_time": "2026-06-13T03:12:53.189494+00:00", "status": "completed" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ".venv/lib/python3.14/site-packages/ml4t/engineer/features/ml/__init__.py:9: UserWarning: Feature 'cyclical_encode': lookback=0 but has period/window parameter. Consider using lookback='period' or specifying the actual lookback.\n", " from ml4t.engineer.features.ml.cyclical_encode import * # noqa: F403\n" ] } ], "source": [ "\"\"\"Label Methods — fixed-horizon, cross-sectional, and event-driven labeling for supervised learning.\"\"\"\n", "\n", "from __future__ import annotations\n", "\n", "import warnings\n", "from collections.abc import Sequence\n", "from datetime import datetime\n", "\n", "import numpy as np\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "import polars as pl\n", "from IPython.display import display\n", "from ml4t.engineer.config.labeling import LabelingConfig\n", "from ml4t.engineer.labeling import (\n", " atr_triple_barrier_labels,\n", " calculate_label_uniqueness,\n", " compute_bet_size,\n", " fixed_time_horizon_labels,\n", " meta_labels,\n", " rolling_percentile_binary_labels,\n", " sequential_bootstrap,\n", " trend_scanning_labels,\n", " triple_barrier_labels,\n", ")\n", "from plotly.subplots import make_subplots\n", "from scipy import stats as sp_stats\n", "\n", "from data import load_etfs\n", "from utils.reproducibility import set_global_seeds\n", "\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "7f0ec89c", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.745432Z", "iopub.status.busy": "2026-06-13T03:12:55.745316Z", "iopub.status.idle": "2026-06-13T03:12:55.747190Z", "shell.execute_reply": "2026-06-13T03:12:55.746762Z" }, "papermill": { "duration": 0.014312, "end_time": "2026-06-13T03:12:55.747578+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.733266+00:00", "status": "completed" }, "tags": [ "parameters" ] }, "outputs": [], "source": [ "SEED = 42\n", "START_DATE = \"2015-01-01\"\n", "END_DATE = \"2024-12-31\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "3753d3c9", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.757259Z", "iopub.status.busy": "2026-06-13T03:12:55.757136Z", "iopub.status.idle": "2026-06-13T03:12:55.801278Z", "shell.execute_reply": "2026-06-13T03:12:55.800719Z" }, "lines_to_next_cell": 2, "papermill": { "duration": 0.049966, "end_time": "2026-06-13T03:12:55.802053+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.752087+00:00", "status": "completed" } }, "outputs": [], "source": [ "set_global_seeds(SEED)" ] }, { "cell_type": "markdown", "id": "b51a195d", "metadata": { "lines_to_next_cell": 2, "papermill": { "duration": 0.004842, "end_time": "2026-06-13T03:12:55.811776+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.806934+00:00", "status": "completed" } }, "source": [ "## Helper Functions\n", "\n", "Robust label column discovery to avoid brittle hardcoded column names." ] }, { "cell_type": "code", "execution_count": 4, "id": "060a879c", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.823805Z", "iopub.status.busy": "2026-06-13T03:12:55.823664Z", "iopub.status.idle": "2026-06-13T03:12:55.826721Z", "shell.execute_reply": "2026-06-13T03:12:55.826294Z" }, "papermill": { "duration": 0.010062, "end_time": "2026-06-13T03:12:55.827487+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.817425+00:00", "status": "completed" } }, "outputs": [], "source": [ "def first_col_matching_any(df: pl.DataFrame, needles: Sequence[str]) -> str:\n", " \"\"\"\n", " Return the first column whose name contains any of the substrings in needles.\n", " Raises ValueError if no match is found.\n", " \"\"\"\n", " lowered = [(c, c.lower()) for c in df.columns]\n", " for c, c_low in lowered:\n", " for n in needles:\n", " if n.lower() in c_low:\n", " return c\n", " raise ValueError(f\"No column found matching: {needles}\")" ] }, { "cell_type": "markdown", "id": "a8144382", "metadata": { "papermill": { "duration": 0.005451, "end_time": "2026-06-13T03:12:55.838586+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.833135+00:00", "status": "completed" } }, "source": [ "## 1. Load Sample Data\n", "\n", "We use the ETF universe for demonstrations. SPY serves as the single-asset\n", "example; the full universe enables cross-sectional analysis." ] }, { "cell_type": "code", "execution_count": 5, "id": "8d360514", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.850349Z", "iopub.status.busy": "2026-06-13T03:12:55.850224Z", "iopub.status.idle": "2026-06-13T03:12:55.903684Z", "shell.execute_reply": "2026-06-13T03:12:55.903124Z" }, "papermill": { "duration": 0.060079, "end_time": "2026-06-13T03:12:55.904168+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.844089+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ETF universe: 100 symbols\n", "SPY data: 2,516 days from 2015-01-02 00:00:00 to 2024-12-31 00:00:00\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (5, 7)\n", "┌─────────────────────┬────────────┬────────────┬────────────┬────────────┬────────────┬────────┐\n", "│ timestamp ┆ open ┆ high ┆ low ┆ close ┆ volume ┆ symbol │\n", "│ --- ┆ --- ┆ --- ┆ --- ┆ --- ┆ --- ┆ --- │\n", "│ datetime[μs] ┆ f64 ┆ f64 ┆ f64 ┆ f64 ┆ f64 ┆ str │\n", "╞═════════════════════╪════════════╪════════════╪════════════╪════════════╪════════════╪════════╡\n", "│ 2015-01-02 00:00:00 ┆ 170.911744 ┆ 171.325815 ┆ 169.089824 ┆ 170.125 ┆ 1.214659e8 ┆ SPY │\n", "│ 2015-01-05 00:00:00 ┆ 169.081586 ┆ 169.247212 ┆ 166.746235 ┆ 167.052643 ┆ 1.696326e8 ┆ SPY │\n", "│ 2015-01-06 00:00:00 ┆ 167.358997 ┆ 167.88073 ┆ 164.684105 ┆ 165.479126 ┆ 2.091514e8 ┆ SPY │\n", "│ 2015-01-07 00:00:00 ┆ 166.804154 ┆ 167.88074 ┆ 166.356963 ┆ 167.541199 ┆ 1.253467e8 ┆ SPY │\n", "│ 2015-01-08 00:00:00 ┆ 168.949035 ┆ 170.729546 ┆ 168.932482 ┆ 170.514221 ┆ 1.472178e8 ┆ SPY │\n", "└─────────────────────┴────────────┴────────────┴────────────┴────────────┴────────────┴────────┘" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load ETF universe\n", "etf = load_etfs()\n", "\n", "# Filter date range\n", "date_filter = (pl.col(\"timestamp\") >= datetime.strptime(START_DATE, \"%Y-%m-%d\")) & (\n", " pl.col(\"timestamp\") <= datetime.strptime(END_DATE, \"%Y-%m-%d\")\n", ")\n", "\n", "etf_filtered = (\n", " etf.filter(date_filter)\n", " .sort([\"symbol\", \"timestamp\"])\n", " .with_columns(pl.col(\"timestamp\").cast(pl.Datetime(\"us\")))\n", ")\n", "\n", "# SPY for single-asset demos\n", "spy = etf_filtered.filter(pl.col(\"symbol\") == \"SPY\").sort(\"timestamp\")\n", "\n", "print(f\"ETF universe: {etf_filtered['symbol'].n_unique()} symbols\")\n", "print(f\"SPY data: {len(spy):,} days from {spy['timestamp'].min()} to {spy['timestamp'].max()}\")\n", "spy.head()" ] }, { "cell_type": "markdown", "id": "371c5b9b", "metadata": { "papermill": { "duration": 0.005407, "end_time": "2026-06-13T03:12:55.914641+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.909234+00:00", "status": "completed" } }, "source": [ "## 2. Fixed Time Horizon Labels\n", "\n", "The simplest approach: compute forward returns over a fixed window.\n", "This is the workhorse of factor-based ML strategies.\n", "\n", "### Methods\n", "\n", "| Method | Description | Use Case |\n", "|--------|-------------|----------|\n", "| `\"returns\"` | Raw percentage return | Regression targets |\n", "| `\"binary\"` | +1 if return > 0, else -1 | Classification |\n", "| `\"log_returns\"` | Log return | Regression with better properties |" ] }, { "cell_type": "code", "execution_count": 6, "id": "f014beda", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.925202Z", "iopub.status.busy": "2026-06-13T03:12:55.925062Z", "iopub.status.idle": "2026-06-13T03:12:55.931173Z", "shell.execute_reply": "2026-06-13T03:12:55.930772Z" }, "papermill": { "duration": 0.012443, "end_time": "2026-06-13T03:12:55.931866+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.919423+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fixed Horizon Labels (horizon=21):\n", " Column added: label_return_21p\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (10, 3)\n", "┌─────────────────────┬────────────┬──────────────────┐\n", "│ timestamp ┆ close ┆ label_return_21p │\n", "│ --- ┆ --- ┆ --- │\n", "│ datetime[μs] ┆ f64 ┆ f64 │\n", "╞═════════════════════╪════════════╪══════════════════╡\n", "│ 2015-01-02 00:00:00 ┆ 170.125 ┆ -0.002872 │\n", "│ 2015-01-05 00:00:00 ┆ 167.052643 ┆ 0.0116 │\n", "│ 2015-01-06 00:00:00 ┆ 165.479126 ┆ 0.031528 │\n", "│ 2015-01-07 00:00:00 ┆ 167.541199 ┆ 0.016015 │\n", "│ 2015-01-08 00:00:00 ┆ 170.514221 ┆ -0.006168 │\n", "│ 2015-01-09 00:00:00 ┆ 169.147797 ┆ 0.012534 │\n", "│ 2015-01-12 00:00:00 ┆ 167.822754 ┆ 0.02112 │\n", "│ 2015-01-13 00:00:00 ┆ 167.350708 ┆ 0.033848 │\n", "│ 2015-01-14 00:00:00 ┆ 166.340408 ┆ 0.044409 │\n", "│ 2015-01-15 00:00:00 ┆ 164.81665 ┆ 0.055723 │\n", "└─────────────────────┴────────────┴──────────────────┘" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 21 trading days is a common \"one month\" convention in daily data\n", "horizon = 21\n", "\n", "labels_returns = fixed_time_horizon_labels(\n", " spy,\n", " horizon=horizon,\n", " method=\"returns\",\n", " price_col=\"close\",\n", ")\n", "\n", "# Discover the produced label column robustly\n", "fh_label_col = first_col_matching_any(labels_returns, [f\"{horizon}\", \"label_return\", \"label\"])\n", "print(f\"Fixed Horizon Labels (horizon={horizon}):\")\n", "print(f\" Column added: {fh_label_col}\")\n", "labels_returns.select([\"timestamp\", \"close\", fh_label_col]).head(10)" ] }, { "cell_type": "markdown", "id": "5d9c5e7a", "metadata": { "papermill": { "duration": 0.004825, "end_time": "2026-06-13T03:12:55.941668+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.936843+00:00", "status": "completed" } }, "source": [ "### Return vs binary comparison\n", "\n", "Both methods use the same forward window but produce different target types:\n", "continuous returns for regression, binary direction for classification." ] }, { "cell_type": "code", "execution_count": 7, "id": "256f6eac", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.951896Z", "iopub.status.busy": "2026-06-13T03:12:55.951773Z", "iopub.status.idle": "2026-06-13T03:12:55.962148Z", "shell.execute_reply": "2026-06-13T03:12:55.961659Z" }, "papermill": { "duration": 0.016259, "end_time": "2026-06-13T03:12:55.962732+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.946473+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Return distribution:\n" ] }, { "data": { "text/html": [ "
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"count"2495.0
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" ], "text/plain": [ "shape: (9, 2)\n", "┌────────────┬───────────┐\n", "│ statistic ┆ value │\n", "│ --- ┆ --- │\n", "│ str ┆ f64 │\n", "╞════════════╪═══════════╡\n", "│ count ┆ 2495.0 │\n", "│ null_count ┆ 21.0 │\n", "│ mean ┆ 0.011676 │\n", "│ std ┆ 0.044669 │\n", "│ min ┆ -0.327513 │\n", "│ 25% ┆ -0.007745 │\n", "│ 50% ┆ 0.016858 │\n", "│ 75% ┆ 0.036822 │\n", "│ max ┆ 0.25185 │\n", "└────────────┴───────────┘" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Binary label distribution:\n" ] }, { "data": { "text/html": [ "
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label_direction_21plen
i8u32
null21
-1783
11712
" ], "text/plain": [ "shape: (3, 2)\n", "┌─────────────────────┬──────┐\n", "│ label_direction_21p ┆ len │\n", "│ --- ┆ --- │\n", "│ i8 ┆ u32 │\n", "╞═════════════════════╪══════╡\n", "│ null ┆ 21 │\n", "│ -1 ┆ 783 │\n", "│ 1 ┆ 1712 │\n", "└─────────────────────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels_binary = fixed_time_horizon_labels(\n", " spy,\n", " horizon=horizon,\n", " method=\"binary\",\n", " price_col=\"close\",\n", ")\n", "\n", "binary_label_col = first_col_matching_any(labels_binary, [\"direction\", \"label\"])\n", "\n", "print(\"Return distribution:\")\n", "display(labels_returns[fh_label_col].describe())\n", "print(\"Binary label distribution:\")\n", "display(labels_binary.group_by(binary_label_col).len().sort(binary_label_col))" ] }, { "cell_type": "markdown", "id": "21842448", "metadata": { "papermill": { "duration": 0.005114, "end_time": "2026-06-13T03:12:55.973184+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.968070+00:00", "status": "completed" } }, "source": [ "## 3. Anchor Alignment Demo\n", "\n", "**Critical concept**: The anchor point determines when returns are measured.\n", "Different anchors produce different labels even with the same horizon.\n", "\n", "- **Close-to-close**: Decision at close, measure return from close to H-day close\n", "- **Next-open-to-open**: Decision at close, execute at next open, measure from there\n", "\n", "This is one of the most common sources of subtle lookahead bias." ] }, { "cell_type": "code", "execution_count": 8, "id": "3988a4c7", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:55.983954Z", "iopub.status.busy": "2026-06-13T03:12:55.983804Z", "iopub.status.idle": "2026-06-13T03:12:55.990298Z", "shell.execute_reply": "2026-06-13T03:12:55.989813Z" }, "papermill": { "duration": 0.012814, "end_time": "2026-06-13T03:12:55.990917+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.978103+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean close-to-close return: 0.0117\n", "Mean next-open-to-open return: 0.0117\n", "Mean difference: 0.0000\n", "Std difference: 0.0102\n" ] } ], "source": [ "# Compute both anchor alignments\n", "spy_anchors = spy.with_columns(\n", " [\n", " # Close-to-close: standard approach\n", " (pl.col(\"close\").shift(-horizon) / pl.col(\"close\") - 1).alias(\"ret_close_to_close\"),\n", " # Next-open-to-open: decision at close(t), execute at open(t+1), exit at open(t+horizon+1)\n", " # Holding for `horizon` trading days means exit is horizon+1 bars from decision\n", " (pl.col(\"open\").shift(-(horizon + 1)) / pl.col(\"open\").shift(-1) - 1).alias(\n", " \"ret_next_open_to_open\"\n", " ),\n", " ]\n", ").drop_nulls()\n", "\n", "# Compute the difference\n", "spy_anchors = spy_anchors.with_columns(\n", " [(pl.col(\"ret_close_to_close\") - pl.col(\"ret_next_open_to_open\")).alias(\"anchor_diff\")]\n", ")\n", "\n", "print(f\"Mean close-to-close return: {spy_anchors['ret_close_to_close'].mean():.4f}\")\n", "print(f\"Mean next-open-to-open return: {spy_anchors['ret_next_open_to_open'].mean():.4f}\")\n", "print(f\"Mean difference: {spy_anchors['anchor_diff'].mean():.4f}\")\n", "print(f\"Std difference: {spy_anchors['anchor_diff'].std():.4f}\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "1d305642", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:56.001903Z", "iopub.status.busy": "2026-06-13T03:12:56.001764Z", "iopub.status.idle": "2026-06-13T03:12:56.949034Z", "shell.execute_reply": "2026-06-13T03:12:56.948586Z" }, "papermill": { "duration": 0.953776, "end_time": "2026-06-13T03:12:56.949905+00:00", "exception": false, "start_time": "2026-06-13T03:12:55.996129+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "rgba(100,100,100,0.3)", "width": 0.3 }, "mode": "lines", "name": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the difference over time\n", "fig = make_subplots(\n", " rows=2,\n", " cols=1,\n", " subplot_titles=[\n", " \"Anchor Difference Over Time\",\n", " \"Distribution of Anchor Differences\",\n", " ],\n", " row_heights=[0.6, 0.4],\n", " vertical_spacing=0.15,\n", ")\n", "\n", "# Raw daily differences (light) with 63-day rolling mean overlay\n", "fig.add_trace(\n", " go.Scatter(\n", " x=spy_anchors[\"timestamp\"].to_list(),\n", " y=spy_anchors[\"anchor_diff\"].to_numpy(),\n", " mode=\"lines\",\n", " name=\"Daily\",\n", " line=dict(width=0.3, color=\"rgba(100,100,100,0.3)\"),\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "\n", "# Rolling mean to show structural pattern\n", "rolling_mean = spy_anchors[\"anchor_diff\"].rolling_mean(63)\n", "fig.add_trace(\n", " go.Scatter(\n", " x=spy_anchors[\"timestamp\"].to_list(),\n", " y=rolling_mean.to_numpy(),\n", " mode=\"lines\",\n", " name=\"63-day MA\",\n", " line=dict(width=1.5, color=\"#2166ac\"),\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "fig.add_hline(y=0, line_dash=\"dash\", line_color=\"gray\", line_width=0.8, row=1, col=1)\n", "\n", "# Histogram of differences\n", "fig.add_trace(\n", " go.Histogram(\n", " x=spy_anchors[\"anchor_diff\"].to_numpy(),\n", " nbinsx=50,\n", " name=\"Distribution\",\n", " showlegend=False,\n", " marker_color=\"#2166ac\",\n", " ),\n", " row=2,\n", " col=1,\n", ")\n", "\n", "fig.update_xaxes(title_text=\"Date\", row=1, col=1)\n", "fig.update_yaxes(title_text=\"Return Difference\", row=1, col=1)\n", "fig.update_xaxes(title_text=\"Return Difference\", row=2, col=1)\n", "fig.update_yaxes(title_text=\"Count\", row=2, col=1)\n", "fig.update_layout(\n", " height=550,\n", " title_text=f\"Anchor Alignment Impact — Close-to-Close minus Open-to-Open ({horizon}-day horizon)\",\n", " font=dict(size=12),\n", " showlegend=True,\n", " legend=dict(x=0.02, y=0.98),\n", ")\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "d84549dd", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:56.959497Z", "iopub.status.busy": "2026-06-13T03:12:56.959401Z", "iopub.status.idle": "2026-06-13T03:12:56.962562Z", "shell.execute_reply": "2026-06-13T03:12:56.962166Z" }, "papermill": { "duration": 0.008504, "end_time": "2026-06-13T03:12:56.963023+00:00", "exception": false, "start_time": "2026-06-13T03:12:56.954519+00:00", "status": "completed" } }, "outputs": [ { "data": { "text/html": [ "
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timestampcloseopenret_close_to_closeret_next_open_to_openanchor_diff
datetime[μs]f64f64f64f64f64
2015-01-02 00:00:00170.125170.911744-0.002872-0.001225-0.001648
2015-01-05 00:00:00167.052643169.0815860.01160.013707-0.002107
2015-01-06 00:00:00165.479126167.3589970.0315280.0255190.006009
2015-01-07 00:00:00167.541199166.8041540.0160150.0037260.01229
2015-01-08 00:00:00170.514221168.949035-0.006168-0.002519-0.003649
2015-01-09 00:00:00169.147797170.9282950.0125340.0107630.001771
2015-01-12 00:00:00167.822754169.280290.021120.018470.002651
2015-01-13 00:00:00167.350708169.040110.0338480.047183-0.013335
2015-01-14 00:00:00166.340408165.3383520.0444090.0385360.005874
2015-01-15 00:00:00164.81665166.9780990.0557230.0547870.000936
" ], "text/plain": [ "shape: (10, 6)\n", "┌───────────────┬────────────┬────────────┬─────────────────────┬────────────────────┬─────────────┐\n", "│ timestamp ┆ close ┆ open ┆ ret_close_to_close ┆ ret_next_open_to_o ┆ anchor_diff │\n", "│ --- ┆ --- ┆ --- ┆ --- ┆ pen ┆ --- │\n", "│ datetime[μs] ┆ f64 ┆ f64 ┆ f64 ┆ --- ┆ f64 │\n", "│ ┆ ┆ ┆ ┆ f64 ┆ │\n", "╞═══════════════╪════════════╪════════════╪═════════════════════╪════════════════════╪═════════════╡\n", "│ 2015-01-02 ┆ 170.125 ┆ 170.911744 ┆ -0.002872 ┆ -0.001225 ┆ -0.001648 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-05 ┆ 167.052643 ┆ 169.081586 ┆ 0.0116 ┆ 0.013707 ┆ -0.002107 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-06 ┆ 165.479126 ┆ 167.358997 ┆ 0.031528 ┆ 0.025519 ┆ 0.006009 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-07 ┆ 167.541199 ┆ 166.804154 ┆ 0.016015 ┆ 0.003726 ┆ 0.01229 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-08 ┆ 170.514221 ┆ 168.949035 ┆ -0.006168 ┆ -0.002519 ┆ -0.003649 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-09 ┆ 169.147797 ┆ 170.928295 ┆ 0.012534 ┆ 0.010763 ┆ 0.001771 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-12 ┆ 167.822754 ┆ 169.28029 ┆ 0.02112 ┆ 0.01847 ┆ 0.002651 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-13 ┆ 167.350708 ┆ 169.04011 ┆ 0.033848 ┆ 0.047183 ┆ -0.013335 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-14 ┆ 166.340408 ┆ 165.338352 ┆ 0.044409 ┆ 0.038536 ┆ 0.005874 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "│ 2015-01-15 ┆ 164.81665 ┆ 166.978099 ┆ 0.055723 ┆ 0.054787 ┆ 0.000936 │\n", "│ 00:00:00 ┆ ┆ ┆ ┆ ┆ │\n", "└───────────────┴────────────┴────────────┴─────────────────────┴────────────────────┴─────────────┘" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Example timestamps showing anchor shift\n", "spy_anchors.select(\n", " [\"timestamp\", \"close\", \"open\", \"ret_close_to_close\", \"ret_next_open_to_open\", \"anchor_diff\"]\n", ").head(10)" ] }, { "cell_type": "markdown", "id": "2592ab30", "metadata": { "papermill": { "duration": 0.004278, "end_time": "2026-06-13T03:12:56.971685+00:00", "exception": false, "start_time": "2026-06-13T03:12:56.967407+00:00", "status": "completed" } }, "source": [ "**Key Insight**: The anchor difference is noisy at the trade level (standard\n", "deviation ~100bps for SPY), even though it averages close to zero. This means\n", "individual label assignments can differ substantially between anchors, affecting\n", "model training. For end-of-day signals executed at next open, labels should use\n", "next-open anchoring to match the actual execution price." ] }, { "cell_type": "markdown", "id": "10fa3cd3", "metadata": { "papermill": { "duration": 0.004492, "end_time": "2026-06-13T03:12:56.980588+00:00", "exception": false, "start_time": "2026-06-13T03:12:56.976096+00:00", "status": "completed" } }, "source": [ "## 4. Time-Series Percentile Labels\n", "\n", "Labels are relative to recent history for a **single instrument**,\n", "making them adaptive to volatility regimes." ] }, { "cell_type": "code", "execution_count": 11, "id": "94093733", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:56.990043Z", "iopub.status.busy": "2026-06-13T03:12:56.989950Z", "iopub.status.idle": "2026-06-13T03:12:56.999151Z", "shell.execute_reply": "2026-06-13T03:12:56.998617Z" }, "papermill": { "duration": 0.014442, "end_time": "2026-06-13T03:12:56.999423+00:00", "exception": false, "start_time": "2026-06-13T03:12:56.984981+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time-Series Percentile Labels (p75):\n", " Column added: label_long_p75_h21\n", "Label Distribution:\n" ] }, { "data": { "text/html": [ "
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label_long_p75_h21len
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null46
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" ], "text/plain": [ "shape: (3, 2)\n", "┌────────────────────┬──────┐\n", "│ label_long_p75_h21 ┆ len │\n", "│ --- ┆ --- │\n", "│ i8 ┆ u32 │\n", "╞════════════════════╪══════╡\n", "│ null ┆ 46 │\n", "│ 0 ┆ 1853 │\n", "│ 1 ┆ 617 │\n", "└────────────────────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Binary percentile: Is return in top 25%?\n", "labels_ts_pct = rolling_percentile_binary_labels(\n", " spy,\n", " horizon=horizon,\n", " percentile=75, # Top 25%\n", " direction=\"long\",\n", " lookback_window=252, # 1 year rolling window\n", " price_col=\"close\",\n", ")\n", "\n", "# Find the label column robustly\n", "ts_pct_label_col = first_col_matching_any(labels_ts_pct, [\"label\"])\n", "print(\"Time-Series Percentile Labels (p75):\")\n", "print(f\" Column added: {ts_pct_label_col}\")\n", "\n", "# Show distribution\n", "print(\"Label Distribution:\")\n", "display(labels_ts_pct.group_by(ts_pct_label_col).len().sort(ts_pct_label_col))" ] }, { "cell_type": "code", "execution_count": 12, "id": "6a870fe6", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.009599Z", "iopub.status.busy": "2026-06-13T03:12:57.009454Z", "iopub.status.idle": "2026-06-13T03:12:57.549987Z", "shell.execute_reply": "2026-06-13T03:12:57.549470Z" }, "papermill": { "duration": 0.546395, "end_time": "2026-06-13T03:12:57.550557+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.004162+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "timestamp=%{x}
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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize threshold adaptation\n", "threshold_col = [c for c in labels_ts_pct.columns if \"threshold\" in c.lower()]\n", "if threshold_col:\n", " fig = px.line(\n", " labels_ts_pct.to_pandas(),\n", " x=\"timestamp\",\n", " y=threshold_col[0],\n", " title=f\"Rolling 75th Percentile Threshold ({horizon}-day returns)\",\n", " )\n", " fig.update_layout(height=350, yaxis_title=\"Return Threshold\")\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "e4446ba2", "metadata": { "papermill": { "duration": 0.009476, "end_time": "2026-06-13T03:12:57.566370+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.556894+00:00", "status": "completed" } }, "source": [ "## 5. Cross-Sectional Percentile Labels\n", "\n", "**The most natural use of percentile labels**: rank assets within the universe\n", "at each decision time, then label top/bottom quantiles.\n", "\n", "This is the standard approach for equity and ETF rotation strategies." ] }, { "cell_type": "code", "execution_count": 13, "id": "e651c7c2", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.585652Z", "iopub.status.busy": "2026-06-13T03:12:57.585401Z", "iopub.status.idle": "2026-06-13T03:12:57.615805Z", "shell.execute_reply": "2026-06-13T03:12:57.615216Z" }, "papermill": { "duration": 0.040607, "end_time": "2026-06-13T03:12:57.616730+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.576123+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cross-sectional ranking: 248,436 asset-date observations\n" ] } ], "source": [ "# Compute forward returns and cross-sectional rank for the entire ETF universe\n", "etf_with_fwd = etf_filtered.with_columns(\n", " [(pl.col(\"close\").shift(-horizon) / pl.col(\"close\") - 1).over(\"symbol\").alias(\"fwd_return\")]\n", ").drop_nulls(subset=[\"fwd_return\"])\n", "\n", "etf_cs = etf_with_fwd.with_columns(\n", " [\n", " pl.col(\"fwd_return\").rank(method=\"average\").over(\"timestamp\").alias(\"rank\"),\n", " pl.col(\"fwd_return\").count().over(\"timestamp\").alias(\"n_symbols\"),\n", " ]\n", ").with_columns(\n", " [\n", " # Percentile rank: 0-100 scale (guard against single-symbol dates)\n", " pl.when(pl.col(\"n_symbols\") > 1)\n", " .then((pl.col(\"rank\") - 1) / (pl.col(\"n_symbols\") - 1) * 100)\n", " .otherwise(None)\n", " .alias(\"pct_rank\")\n", " ]\n", ")\n", "\n", "print(f\"Cross-sectional ranking: {len(etf_cs):,} asset-date observations\")" ] }, { "cell_type": "markdown", "id": "50777cff", "metadata": { "papermill": { "duration": 0.015439, "end_time": "2026-06-13T03:12:57.643876+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.628437+00:00", "status": "completed" } }, "source": [ "Cross-sectional percentile labels rank assets at each decision time $t$.\n", "This is inherently point-in-time: the ranking at $t$ uses only returns\n", "realized at $t$, so no future information leaks into label construction." ] }, { "cell_type": "code", "execution_count": 14, "id": "13ea4ea5", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.665753Z", "iopub.status.busy": "2026-06-13T03:12:57.665524Z", "iopub.status.idle": "2026-06-13T03:12:57.674935Z", "shell.execute_reply": "2026-06-13T03:12:57.674215Z" }, "papermill": { "duration": 0.01934, "end_time": "2026-06-13T03:12:57.675322+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.655982+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cross-Sectional Labels (21d horizon, 20th percentile cutoffs):\n", " Total observations: 248,436\n" ] }, { "data": { "text/html": [ "
\n", "shape: (3, 2)
cs_labellen
i32u32
-149900
0148636
149900
" ], "text/plain": [ "shape: (3, 2)\n", "┌──────────┬────────┐\n", "│ cs_label ┆ len │\n", "│ --- ┆ --- │\n", "│ i32 ┆ u32 │\n", "╞══════════╪════════╡\n", "│ -1 ┆ 49900 │\n", "│ 0 ┆ 148636 │\n", "│ 1 ┆ 49900 │\n", "└──────────┴────────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Assign labels: top quintile = +1, bottom quintile = -1, else 0\n", "quintile_threshold = 20 # Top/bottom 20%\n", "etf_cs = etf_cs.with_columns(\n", " [\n", " pl.when(pl.col(\"pct_rank\") >= (100 - quintile_threshold))\n", " .then(pl.lit(1))\n", " .when(pl.col(\"pct_rank\") <= quintile_threshold)\n", " .then(pl.lit(-1))\n", " .otherwise(pl.lit(0))\n", " .alias(\"cs_label\")\n", " ]\n", ")\n", "\n", "print(f\"Cross-Sectional Labels ({horizon}d horizon, {quintile_threshold}th percentile cutoffs):\")\n", "print(f\" Total observations: {len(etf_cs):,}\")\n", "display(etf_cs.group_by(\"cs_label\").len().sort(\"cs_label\"))" ] }, { "cell_type": "code", "execution_count": 15, "id": "3af29b15", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.693868Z", "iopub.status.busy": "2026-06-13T03:12:57.693740Z", "iopub.status.idle": "2026-06-13T03:12:57.702748Z", "shell.execute_reply": "2026-06-13T03:12:57.702237Z" }, "papermill": { "duration": 0.01737, "end_time": "2026-06-13T03:12:57.703299+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.685929+00:00", "status": "completed" } }, "outputs": [], "source": [ "# Verify stable class proportions over time\n", "# Note: Counts vary if universe size changes; proportions are stable by construction.\n", "label_by_date = (\n", " etf_cs.group_by([\"timestamp\", \"cs_label\"])\n", " .len()\n", " .pivot(on=\"cs_label\", index=\"timestamp\", values=\"len\")\n", " .sort(\"timestamp\")\n", ")\n", "\n", "# Convert counts to proportions\n", "count_cols = [c for c in label_by_date.columns if c != \"timestamp\"]\n", "if count_cols:\n", " label_by_date = label_by_date.with_columns([pl.col(c).fill_null(0) for c in count_cols])\n", " label_by_date = label_by_date.with_columns(\n", " pl.sum_horizontal([pl.col(c) for c in count_cols]).alias(\"_total\")\n", " )\n", " label_by_date = label_by_date.with_columns(\n", " [\n", " pl.when(pl.col(\"_total\") > 0)\n", " .then(pl.col(c) / pl.col(\"_total\"))\n", " .otherwise(None)\n", " .alias(c)\n", " for c in count_cols\n", " ]\n", " )" ] }, { "cell_type": "code", "execution_count": 16, "id": "7a6df875", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.720220Z", "iopub.status.busy": "2026-06-13T03:12:57.720094Z", "iopub.status.idle": "2026-06-13T03:12:57.832147Z", "shell.execute_reply": "2026-06-13T03:12:57.831433Z" }, "papermill": { "duration": 0.121966, "end_time": "2026-06-13T03:12:57.833748+00:00", "exception": false, "start_time": "2026-06-13T03:12:57.711782+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show class proportions over time\n", "fig = go.Figure()\n", "for label in [-1, 0, 1]:\n", " col_name = str(label)\n", " if col_name in label_by_date.columns:\n", " fig.add_trace(\n", " go.Scatter(\n", " x=label_by_date[\"timestamp\"].to_list(),\n", " y=label_by_date[col_name].to_numpy(),\n", " mode=\"lines\",\n", " name=f\"Label {label}\",\n", " )\n", " )\n", "\n", "fig.update_layout(\n", " height=400,\n", " title=\"Cross-Sectional Label Proportions Over Time (Stable by Construction)\",\n", " xaxis_title=\"Date\",\n", " yaxis_title=\"Proportion\",\n", ")\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "34f7c80c", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:57.859837Z", "iopub.status.busy": "2026-06-13T03:12:57.859654Z", "iopub.status.idle": "2026-06-13T03:12:57.966611Z", "shell.execute_reply": "2026-06-13T03:12:57.965910Z" }, "papermill": { "duration": 0.120003, 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kIZi2vziMuKQhyra/6K2m955rvr8470g8NXW7v7BNoHXkIL2/2LraMAGivr+o1M6kKIy7v7Dven+sj7a/CEYRFJt3s7+oGTCDCh6xv8CQ6KU7Ba6/QMYBV9KrqL8gaCIUIs+cv8CjZ/2lSIm/QOfkVZN7ir/AdZ6agfGiv6AHu0oCj56/YHCNp0aiq7/Qo3th0+qhvwDDS/j6+ZK/0JYvSUJNoL9gxspH+DepvwA+dbx9JaO/wLImHgY8j78AJR7rERCRvwAwYJHUxoW/AHj7O7k9UD8APDgCzvpAv4BYZFBmsXe/gJZbid3ZgL8ghzM3Wr2dv+BJGHmpFqK/MGKPDTcfr7/QLwAasuCyv4AfjA/44rC/kNs8CPpiqr+Qn2ToscKhv4DHIWMlgKm/mKAGZLRisL/YXX40d1+xv2CkQjDF37W/IH+wwOWxtr/gfZOaOyy2v8geqneYSL2/6CYIZJ91sr+QXcaJZDSzv1idcUo8DrO/cMbs53Ohtb94fRKjtwW2vwBj1B+As7y/gDubJQXjt7/wbaNzTkOtv3BmvaM+6KW/wPanZuLOj78AM2FT3zaKv4D59QOXNIy/YGRMhN/xl78AJD0FC6WQvwCGA5XDWXA/gOhtpY0JjT8Aj+2QS3GRP8BP577OiJQ/wGr6qdqEkT8A9psulIaWP2CpqzcpeqE/QKuM8b2tnD+A3mjJDPacP8CzM9lutJ4/oGPjP70+oT9AFxV23rOcPwA1YVJLyZo/wMIDgQxxlj8AS1tpJ6CKP4DnjeggG4Q/AJaKXaRDdT8AysD9Q2p3P4AcB1NH0YI/gHzQBfXagT+AnHt08o2EPwAJTi646og/gEQCvWMIjj+AGtgic1iKPwBMSbThQoU/gNYNGhYhjT+A9SbC6UODP4CbHxQ++Yc/gJEJJG+2hT8AeiuiTBh8PwD0GGQdJl8/ACAKtSY8Wb8A9EDVFnVePwDIuTrLYFg/gLJpW74ni78AlElPT/2CvwByRjd75GQ/APKk8f4ueT8AY9XsCFt9PwDUfNw4alQ/AK3aeWzfcD8ALuPdcPB3PwDWWglrxF+/AKKPC+TWbr8AYOqBs3MuP0CBKtVS/4e/4J18jrbxkb+gs5uJblGSvyALF+2TFJS/QPwPB28GkL+AbAX4qIqHvwDmcOov4lC/AOB6kCycbT8A8X6wFstxP4Can9OGoI0/QFLE1cV9kT8AyljzJlKGPwBXPD0uc4M/gB3Wr2xuhz+AIf8YylCCPwCnvqF2RoA/AJt3KEKsdj8AInNAlxBrPwDVZtA9eXA/AGppmYSPYT8A3tGApq5ovwBUxB0Atkq/ACBTy/LfLz8ANK1PXLlKvwA07sJXXVs/AJgAXj0zZL8AIPejY84jvwD3dNYbJmK/QOem/UbzgL8AtJeh9wZLvwAfHV/iaIm/cP0qt1RaoL+wt/qis0WhvwDvkzEfW6G/QMs8GcESpL/AWCIuHrSnv1CnD7jU06W/8D97nV4WpL8QlzhbKSunv/D7ULHfIaq/8B4rqatyqb9AqsTfrTmkv4DfIqMrzKm/8H+4OJ7Hr79w/jCkbuaqv1Al4jKn0bC/iPP10Awnsr8YWUcLLT6yv1BJOXuiALK/gCzfPvIesr9QaaykIfSwv/DLeMxxn7C/IOKF6qMqpr8wl/GpAiigv4CXblGWtJS/AD/igDpulr8AAAAAAAAAAACgWZfQAFm/QPDK2UCQib8ALCC8WWCNvwD2EbBsM3w/gEGEW6LfjD+ANkW/PmmJP4B4PpxsL48/QNKz2VDzlT+ALeo54oGNP4DI8biS34s/wDOHw0XblD+ATJYKW1aVP4CYnHlLC5E/ADkoh2TQnD+Ac30GPbCaP8CIucMrL5I/gHHwFCQ4iT+Ak3S+CUOBP4CrXKdgSYQ/AEOyZqlofz8AtSNkpkyGP4CRwJRgCoM/AMB6YW31dz8A4Cep/oN9PwAkBLwaxnI/AADi//Oo7z7AMLoALgGAvwBOW45vAVW/ADaePfldZr+A6/2ri853vwDQgC5FDl6/QIGCqc1xgb8Az/r/HviMv8A5MuWOYZ2/MASgVQ8Rob9wPjncdECqv/C8uRP93bC/oC2eXf10rL8AJL7exQWtv2DOJGwW+au/EHXggSwkr7/wIiFL8uKyvzD+t4THOq2/6KFum8/qs794dl4hheuzv8jokns6FrG/MH+jVycUq7+gMeSRBtSuv3CFqBN2YK2/yEMlAUvosL8YXXQQlAqzv/AkPFLqCLG/SHlCLuwmsr9YaZmLdGewvzACQcbjDqa/YGiaE/hMl78geXGjykWXvwCocDgP44A/gPvUj2izgz8Amcnu0MGBPwAWudz3N2k/AEhr6jMYXT8AbjPHmdJ/PwAAAAAAAAAAALfWxppBhz9AJ3R4FQGQPwCyqvdXY4M/ALBhSuncUj8ARlRuUrpuPwBFuilb6ng/APqcY1+3fj8Apw/+J65xPwDfcnBxmns/ACRPar9PXD8AvDt36p9UvwBE0wGQgHW/gH8O9dMLfr8AEmu6ETSMv4Cbwsu8sJG/QGgzKK1ujL+A0+1WdteUv+B8Nu48EaK/UIIdTaiDoL+ATjMND4Whv0AxL2WOt5S/YHRanfI7m7/ApoaVtjyOv4DR9sScCZC/wHwsNPoRhr9AakXLm+CJv8CwCcGo2IO/gHTr2lNZgb8Ap3p5flZovwA2ho+axVa/AD768+s5Ur8AcboaGhtkvwCQPTb9JUk/ALAlXLM2dz+AyDT8dfaAPwA+T6RCt4c/AByGSP8bVz8Ab8+Cf2tgvwDad8iiLFC/APiPbJA4Y78AElncs4dgvwAyOSB6/li/AHt3BKNtYL8ABkBO/e5VvwCIYvnp/ju/AFxzoyC0Sb8AQLJRjpE9PwDA0f6X9B0/AFzAY06yUr8AldDBH3JqvwDip0///mO/AED/aH+8UT8AcK8UqQY1PwAe5jesOmk/gDeMCGExfr8AEkMydeqBv8Asp73yVZS/AEWX22z+ib/AiTQU2VOIvwD4xcRbwmO/QGKUAtM4gL8AuJ6/c895vwAIJ9SIv18/ACLuxzX7dz8AXsNgf8N/PwAEfW3lYGw/AH3WxLdvdD8ArOenhu1aPwDY6hlNF20/ANyLblbeVT8ARiO0/JluPwAGtLBPdIE/ABeHadDTfD8AowJqKdFxPwAi45404HE/AL4BlkeQgT8AzT4FdfiKP4D0M4fa1IA/AI2HmdIkfj8A7f9/HUFwPwC0XWU2b2k/AOtOedHucz8AOcWm9QN3PwBuGpZOenI/ABBszqS1fj8Ak/wWyMV2PwAtOhMLd3Y/AKHN6g6SdT8A1P6+Nj9WPwCEj/mWjlM/ACAuGGU1Pr8AL1x7feF6v0DB6YBT/J+/oEkIdBiTnb/gK3LaIiiev5BpE5bWGaO/kDgjM+nhrb8A4YcBGGOqv4Ak1053eJq/oJjmDIgdkr+gZo/9AQCQv+BV16w4rpu/4IsmtBIum79gHpJQAJOSvyCGQBhlA5O/gGGpMNRMl7/gi5DPaTSYv5CBSzwCZKG/wOC3gWDtm7+AI2r44hqXvyDg7dM24Z2/cGWXZGb5rr8gGsYbOJGyv0A+hUR3G62/+E8WAd4/ub/IXNoX9me8v0hcRkDD4rS/yHE0fGyFtL/wH46iAleuv9B3ZXusIbm/jFBIi0UWwL/w2KO+JV7Kv8D2fXFoZMW/6HZuX+3xy7+4qloH2BTUvyL2K9fevNC/sIqR2bYb17/MnkiEdvHUv+yaZsXzQNi/jNxJixSv179UadkIbMnYv7bwvStw+9m/OgCX4Tas1L/caLvaCCXSv8S3OfkS4s2/+IbRUU7+zL9c+dViXMfIv+hmeLtjM82/kvo7s5h90L/+wJN7w9nQv1YA/henE9C/gH9+eYZhyL8AapS1R/25vwDkckpnmLq/8M1RKs9WqL9APm0IMFGXPwAuCUgD0la/AFPqkmcUoz8AHiIXgdSbP7C7kL+rQ7o/MIUNoRlxuD/QseMH7HCzP2BaRHuxjLM/4GU3QAsIpj8Aop/iUb2ZP4BK0wPCSZA/wAZV5xqykz+AxeiY4GugP4AMvDkjpJw/gF/idf3mpT/AMn1+9s6SP8BRr5fP4KE/AP5s+qpmbz8A2O2NT/B/PwCFbxNQdXI/gBIlDpLFh7+An9QoUbeIv9C5ElO8K6i/oCCkM8RkkL/AXurR0y6FvwAtHp6lAWi/AIDYxybKHb+A1Wwe+/CLPwAZzAcA+3M/AHRxyVECZT8AymfPM8V9PwAtYlVyRH0/ADwYFMHThD8AuHj2z5JTP4CQv2plQZg/wAcE1ekgoD8AB234sDukP8CZt9MgLJw/IAD3MerNpj9AJmPX/t+nP0AtO89AlaU/oJvNaiGEoT+AQFOJIKmMPwDKrROv1pM/YGO1w4QZoT8gximk9DChP4BZXlGR85A/gEj2r2YMjj8AdF4B6vyHPwD0DcZ9tpo/wEdYFLhbmT8AABcQjX8SP0AifvMWWou/IGibyc+/nb/AiGHaK+WBv4BP89bzPXy/gIB4jmGpj7+AZkI+inKdv8CwMno1lJC/cJORii0Mrr+IRx9IsNexvxBYEHxkQ7K/kNgt00ilpr8AUFvQzVF3PwBg8w1Hl3c/AA0KBO1reD8AUKGuxnBBPwAw4p3r0Xs/AIvGJ472dz8ARWKYGqOJP4Dy2Eo/C4c/AFL39li4iT+A9ISwudySPwAGw1+qR5E/4MjeLTDKoD+gTPXg7/egP8CAgojvupQ/gCRiH8eijD+AUPBk216EPwCQt4XT64o/QISB0ku+mD9ATi+2ISqRPwDE0jAqFY4/AM89a8rYhD8A10r2MumNP4BvdbkoqYg/gJfP5q5IhT8AtpV4i/+KPwCXwAkr4oA/gJaWagQZiT8AktHc4fVlPwCUi0OneES/ABKleponWL8AQEYDa7ccPwAnyCMNN2q/AJR8gn3tZb+A1NkM6YSEvwAe7WvmFWw/AIDtvKUkLb8AQEYDa7ccP4ChetPnv3G/AMAr1E+KfL8Aw3EoxO2Iv6A2v+SeNpu/wPyPkdgzl7+Aglnczjydv3DD28MnvqC/wN1aAJJHg79AOHqMheaCvwCEvvqKn4q/oDI2YjBgkr/AxkwqtlyUv8DuT5KQBaO/4Gb71waKoL9Y9stslyexvyAsgJj8w7C/WDnRUy9YsL9A2NcShVamv9CML8oUo6u/4CNjJQcZp7+w7Oy4vjmnv5CJs3nX9ay/gPFSopbBjr9gRxk0gUuVvwCWw9bA72O/gAZGQICSc78AINSO+6cxvwAAj8/jWh6/ABKqL+Rbb7+A9xdxsL+Gv2ALRtWDypG/wMiDwEFei7+AY+uEWM+DvwDAV8idpEs/ABB34XdKaT+A5fYQEFyJP4DhdnPLB5A/AOe5NiPCdT9AMOp4R3OEv2De3YD8eaC/wADRg83inb/g1uSA6BmlvyBZtNyilpm/4AvuCqphlr8A4FJu+7JEPwAkDFBSyGg/AO6YuNzbd78ATylWs1NtvwBP1ZfsJni/AAR1oB7uSr8AWNwp1BxavwBAAP2jsRw/gBShSj4VhD+ASUveTWGGPwBAUg7Wf34/gO64I0jxjj8A61kWMTyOPwDX5A995Y0/wJOUcLdqlT8A3A+8ijaXP8A969knsJo/gBRmweQynz9AdeUXeWqiP4AOFKeI75o/ADIk2pcMnj+ASE6AJsaEP4CR1B8zLYE/APheh1I1hD+AYqNYqNOHP4D4b80NSoI/ACdBHm9AgD8AR0Im1qt7PwBV8BBsPHM/ALQjHUS+cT+AkPgsIHWBPwDTuTfLeHc/AG0hLTXWcD8Ahn5toJdrPwAEbCKmKGc/AGDhPtD5Lj8AzrqYvqxoPwDIgfBV/0s/AJgEXp3Riz8AW0MhOL2GPwALikTbNXM/AJDqEZnmcD8A+SbcLvB2PwCaDuOETHE/AITWP5beYT8AAHdZyrgwPwDs1sTa0mU/AGa2lGP9YT8AshzuPpp8PwAAKd3N2Fk/AC4SdwHTVL8AZCOpFtJePwBofGmW6FU/AKRDBoPOXT8AWC+n6lVTPwCgDfwsUB6/ANjRTkRxeL8A/H3RMgVyv8DgLvXNvY+/wJiuD0stgr8AYZQIuAtmvwAkUsee2Wi/QDcx0CtWgL8AuylSLYR3vwDCjOWuf2G/AGEg7mKRcr8AAERIAi4CPwCyCE2L1Fy/AAAAAAAAAAAA3epPLglyvwAAAAAAAAAAgLPSqQAcd79ANa7qGqqBv8CjVpytvYu/AJwxNOjFi7+g9iFxTyWSv8DWhYtQIaK/YHwztLW0kr+Ahw46uN99vwAKFiw2oHG/gBNVyGSEmL/wYFt5V3KkvyDH3irBr5+/8BAKW1spq78AsqqD8wOjv+Boz/2Bpae/gF4cKXTioL9Q3OKVCcekv4B9XD7s/KK/MCozudUwo7+AAYTazrSev/BF/fIhjaS/AI7kwzUUn78AzOICnVmdv3CKoD9rvqC/MED+otyRpL+AcZ2t+Denv0A18uu76pK/gN+XI14Hi7+gzpAIERScv8BlEVbHjo2/AGBZiXaKXL8AoJ613pccvwBQkZVTqCy/ACDiVksJNj8AuLwi52lZv0ChzymvFoO/AMaIQ/yElb9AXgNJ3nuEvwDeIB7eNHK/ANANpS79NT8AAAI9uLE2vwBocoF+OXY/AOxNZ0xYYL8AXwm57zR0PwATuZh8roI/AIyJkoPzjT+A22IYZQiRPwCzPPg6HYE/AEhSenMiiz8A5AcCPBaPPwCQGJm1lH0/APMfZ8GNdD+AiLDKLpFzvwDVCv+2omK/APcSZe0kfD8AAqqDjcV0PwCszYbFCmU/APAUpsxCOz+gf9Sfn5qXvyC+kMoat5W/ACiishaIj7/g5kHyE7CQv4AZ0gZVbIS/QPYnJT/Yhb8AX1slsoiMv4B0PLe4PIe/gO8ePJFbjb9Aal/EPz2Pv4AY26Vab3u/gKGsY4lLf78AX8IMbZlxvwBYnEgYyVk/AFQJI/7DWD8AyHyK1IxPPwDgh1U0FnA/AHgU4s03Wz8AOMM2yCNEvwD+JvP91Fy/ANQrXJaCej8AJnD3VTWRPwCH+gD/k4A/ANxK28rTYT+Av/M3iMt5v0CKYTRey4W/AGTh6IB6lr8AErKzP4aJv4BiWADri42/IETsvV1Jlb9AifSC2eeEv4Aw/iD2RIS/wOIMH4OYjL8gXHwnTkuTv6D1HWPU75e/IBTvJlcfmL8ALlc/bwyQv+AhRXXzLqS/4MVY9hsBo7/wy6Ey2LKov6DGsZnxs5u/YABVtsDAnL8QStrzkMGiv4BFaCtc0Jy/IBd92aeHn7/gllFJ2iegv/BfTSvg8aS/QGVbzhbCk78ggRLi0TuUvyDE8XaLMJG/ACWmEkV7kb+g/ywc1baVv6AG94SmMqO/oLiACqY5kb8A3GliTjx2v0Cr/eNFK42/AFy/M4SDlr9AdA+PjzqOv0Cnwk3Mj4i/AAq+2/5CcL8AzRFF35Rtv8DkEAkAFpS/AF+AaVl/jL8AfeyiKs1svwB0oLgOF3S/AJ84Fp96YL8AnBfEAglnvwAlqnXy126/wBrdSNeuiL/g9LMe7eGevwBeo7Kxt5a/QEMFC7GFiL8A6qcmMMBnvwBfKla7cHG/gPsZWhiZg7+AS0p1Y3N3vwBtewmk/mC/gFNvPwnucb8A7a2WeK9xvwAqBNw+aFa/AEDnRseTHj8A7NMntaBHvwCY5ucPHGG/AAoVgoMEhr9A8uIR9T2cv0CE0MOCwI+/QLoecnfZmL9ghUPRpX+QvwCs/QflDY2/QBArHKvXj7+gyIsB+q6ZvyBb6YsE/p6/QBz2piZ+nb/AUEwon5uTv2AwjrwP6pa/gLCmuJcRkr/AsDUCZSenv4AOOsfs7Kq/EG5DZMkWrb/gvfCvPf6rvyiECqYv47C/8BIkD34Lr7+gOxB5r5Kuv2CKj06kSqa/wMrrfsMrpr9Agbo27Y+lv/DvecuiD6a/IAT5hT/koL9Ay4k277aZv6ApoJ2G75K/QOrRGeg0h78AmLnx3w5evwCbDF8qL2q/gD9Qbamufb9AzqJ1OziFvwBeRdEO832/gAOQy4xBeb8AjCzcMExYPwAu7/MZcGw/AKCOHscJRz8APsRCJrVavwA4NdBrRGA/AHAh1gO5XT8AS3B41g6BPwCY0AIHSYI/gHZQ5fCbhD+Ah3DYUh+LPwCo8kLeqG4/AGZ6HhoyYz8ANKlKHD1ivwBQSyChgWi/AHUQZKXobL9Aedt8R9SLv4Av72IyF5e/wNw/NFzZlr/AnO3gOniav8DZ99pSY5u/4ImRQOL+mb8AwsrI6R2nv4Am090DbKm/wJFv33Coqb/ITR/pE9Kxv3AnLcqXU6m/cJzYOOjbsb9AC2Jw+s2pv5CWrbdtuKa/MMHGalLZpb9AkezHFP6mvyCkay1jbaO/cH1oqgUuqr9YA2MpBAKwv1A5vgUyqay/kPAsVrS6q7+AdUMfY2ytv/h6zwqPwLC/cHSZwmkApL9AMh9TNQCYv0DXk9Vkw5O/wC5PeG0djL8AgAIxr9cLvwA8UuhTYkW/ABgCieZrXD+A/C/kSciFPwBwwuU1rEA/AGhiCoZuWT+AxpaXgy6AvyAQVBIvyZS/4Cw7+jDQlL9g5VFX7omVv8Dr5cmRj4u/gBDwt49agb/A5fimpqqAv6Art1vteZK/QKlsYjJlnL8QoTN4nbKhvwDbqwkq65+/oEY+0GjHq79QrSryHfauv/DBe5MZNrK/WGl9rEkPuL9Ywsv9W5e7vxhU+WjIILe/eAr6UkqQsr/YJk5Br3Gwv5Dpe9DFq6y/6PSWT3yvs78wRmtAEmGtvzCrytgQQa2/kNy4DVckqb/gJaQSWqucv8AmpRADEqu/YCLpnVKxsb9I4XckD2qwvwDZJ+kX+qe/4Ez7CIExnr9ACdhCXuGiv2A7Qyx75KC/QIZG3VEcob8Aauvu9AGqv0BV+fV/XqK/wIyXJHN+hr9ATIYD4C6Cv/A83FuebaG/kAn8jhhTpr9gskRkQYywvyDA78NpKLa/COwv2qKHub9obWFCsX25v6DP+jmJ07C/wO3NuL5Ytb8w3RwXnp29v+hPv/T/Fru/gBIF/Ixssb+QROByWMWhv0DwpIhkeKe/II9gN8kTo79Q9stzI3ehvyAE/u8SoJu/oHjwGbxFnr+A7KGzcC+UvyAJK1SoeJe/ILLscJpGnL8A9YXs2HKPv4DWTQ7Emnq/gMVj/ou7lL/gWM/HWXuRv0D/JX4cDYq/wJUDOw70h78AMWaMXcKMv2AqbGt2cJO/AJwfqJbair+AG4e3sVmNvwAQwrX/tU6/AAcWmyZlbL8gRBB6s9egv2D7AfiloqG/4MvpsG48pb8gQk98PJydv+DgSlyNMay/sAKnQNyfr78wIuxn8k2yv2hWXMPu07a/UBwwdk7otr9InuDwWF64vwAqwwp8l7m/CNtG4CLstr+o5+72zMS1vzCARgUA17O/YLuiAAvjtr+oJRqFs3C4vzC7CzCdhb+/UIYkz+snv7/YLUijH3e9vzA/rft0ar+/8PhkyK25u7+Q2XZKsZW5vzASbqFaMLW/YCTOzTeXvr9IB+JnWL++v4BvMyJ9ELy/wGYcymj3sL/gmS1XZ8qzvzCaHhYatKa/gF1shl30m7/ANpAPEh+Yv4DI3qWmlHu/QDdIWgLSjL8A8gZPozxav2CIhmejT6K/ADbcG44Sh78Ah6wK3ep2P4AbumYf9ok/AFBiIx0KMD/Ah6hSO3uFv/A/dkaEeKe/uEmPngY+sr8gVoB1T6asv+DDLznQaru/mBqqYxwOsr9wDP9P0JKtvwDiRA6H36+/gGJdHbLptL8AKGWJctGsvxAMV4/WZa6/WAdF3bdMs784TPjCvKi4v/iMPzut1Lm/8Cx4VQAht79ASMtC3AvBvxC973jN0r+/uLOjO4TXvL/wQLyjR8G9v1AtCwf58L6/ALWMhWjRub+w1oCVr/qyvwih9/XTC7C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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show cross-sectional threshold values over time\n", "cs_thresholds = (\n", " etf_with_fwd.group_by(\"timestamp\")\n", " .agg(\n", " [\n", " pl.col(\"fwd_return\").quantile(quintile_threshold / 100).alias(\"bottom_threshold\"),\n", " pl.col(\"fwd_return\").quantile(1 - quintile_threshold / 100).alias(\"top_threshold\"),\n", " ]\n", " )\n", " .sort(\"timestamp\")\n", ")\n", "\n", "fig = go.Figure()\n", "fig.add_trace(\n", " go.Scatter(\n", " x=cs_thresholds[\"timestamp\"].to_list(),\n", " y=cs_thresholds[\"top_threshold\"].to_numpy(),\n", " mode=\"lines\",\n", " name=\"Top 20% Threshold\",\n", " line=dict(color=\"green\"),\n", " )\n", ")\n", "fig.add_trace(\n", " go.Scatter(\n", " x=cs_thresholds[\"timestamp\"].to_list(),\n", " y=cs_thresholds[\"bottom_threshold\"].to_numpy(),\n", " mode=\"lines\",\n", " name=\"Bottom 20% Threshold\",\n", " line=dict(color=\"red\"),\n", " )\n", ")\n", "fig.update_layout(\n", " height=400,\n", " title=\"Cross-Sectional Threshold Values Over Time\",\n", " xaxis_title=\"Date\",\n", " yaxis_title=f\"{horizon}-day Return Threshold\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "4f4ac32f", "metadata": { "papermill": { "duration": 0.013461, "end_time": "2026-06-13T03:12:58.023563+00:00", "exception": false, "start_time": "2026-06-13T03:12:58.010102+00:00", "status": "completed" } }, "source": [ "**Key Insight**: Cross-sectional percentile labels maintain stable class distributions\n", "by construction, but the absolute return thresholds vary with market conditions.\n", "In high-volatility periods, larger absolute returns are needed to qualify as \"top quintile\"." ] }, { "cell_type": "markdown", "id": "07402f7f", "metadata": { "papermill": { "duration": 0.022135, "end_time": "2026-06-13T03:12:58.067672+00:00", "exception": false, "start_time": "2026-06-13T03:12:58.045537+00:00", "status": "completed" } }, "source": [ "## 6. Triple-Barrier Labels\n", "\n", "Path-dependent labeling that captures realistic trade outcomes:\n", "- **Upper barrier**: Take profit hit → +1\n", "- **Lower barrier**: Stop loss hit → -1\n", "- **Time barrier**: Neither hit → label based on final return\n", "\n", "This method is from De Prado's *Advances in Financial Machine Learning*." ] }, { "cell_type": "code", "execution_count": 18, "id": "758fc775", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:58.123171Z", "iopub.status.busy": "2026-06-13T03:12:58.122663Z", "iopub.status.idle": "2026-06-13T03:12:59.328536Z", "shell.execute_reply": "2026-06-13T03:12:59.327995Z" }, "papermill": { "duration": 1.237753, "end_time": "2026-06-13T03:12:59.328960+00:00", "exception": false, "start_time": "2026-06-13T03:12:58.091207+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Triple-Barrier Labels (Fixed %):\n", "Label Distribution:\n" ] }, { "data": { "text/html": [ "
\n", "shape: (3, 2)
labellen
i32u32
-11254
0158
11104
" ], "text/plain": [ "shape: (3, 2)\n", "┌───────┬──────┐\n", "│ label ┆ len │\n", "│ --- ┆ --- │\n", "│ i32 ┆ u32 │\n", "╞═══════╪══════╡\n", "│ -1 ┆ 1254 │\n", "│ 0 ┆ 158 │\n", "│ 1 ┆ 1104 │\n", "└───────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Barrier Hit Distribution:\n" ] }, { "data": { "text/html": [ "
\n", "shape: (3, 2)
barrier_hitlen
stru32
"lower"1254
"time"158
"upper"1104
" ], "text/plain": [ "shape: (3, 2)\n", "┌─────────────┬──────┐\n", "│ barrier_hit ┆ len │\n", "│ --- ┆ --- │\n", "│ str ┆ u32 │\n", "╞═════════════╪══════╡\n", "│ lower ┆ 1254 │\n", "│ time ┆ 158 │\n", "│ upper ┆ 1104 │\n", "└─────────────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fixed percentage barriers: 2% take profit, 1% stop loss\n", "config = LabelingConfig.triple_barrier(\n", " upper_barrier=0.02, # 2% take profit\n", " lower_barrier=0.01, # 1% stop loss\n", " max_holding_period=20, # 20 days max\n", " side=1, # Long positions only\n", ")\n", "\n", "labels_tb = triple_barrier_labels(\n", " spy,\n", " config=config,\n", " price_col=\"close\",\n", " timestamp_col=\"timestamp\",\n", " calculate_uniqueness=True, # Compute sample weights\n", ")\n", "\n", "print(\"Triple-Barrier Labels (Fixed %):\")\n", "print(\"Label Distribution:\")\n", "display(labels_tb.group_by(\"label\").len().sort(\"label\"))\n", "\n", "print(\"Barrier Hit Distribution:\")\n", "display(labels_tb.group_by(\"barrier_hit\").len().sort(\"barrier_hit\"))" ] }, { "cell_type": "markdown", "id": "5d85d9f1", "metadata": { "papermill": { "duration": 0.01573, "end_time": "2026-06-13T03:12:59.363781+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.348051+00:00", "status": "completed" } }, "source": [ "### 6.1 Triple-Barrier Path Visualization\n", "\n", "**Understanding triple-barrier requires seeing the price paths**.\n", "Below we plot several example trades showing how barriers are hit." ] }, { "cell_type": "code", "execution_count": 19, "id": "8c5d0e74", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.391657Z", "iopub.status.busy": "2026-06-13T03:12:59.391518Z", "iopub.status.idle": "2026-06-13T03:12:59.553633Z", "shell.execute_reply": "2026-06-13T03:12:59.553100Z" }, "papermill": { "duration": 0.177287, "end_time": "2026-06-13T03:12:59.554098+00:00", "exception": false, "start_time": 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"xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Triple-Barrier Example: UPPER barrier hit" }, "xaxis": { "title": { "text": "Date" } }, "yaxis": { "title": { "text": "Price" } } } }, "image/png": 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"automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Triple-Barrier Example: LOWER barrier hit" }, "xaxis": { "title": { "text": "Date" } }, "yaxis": { "title": { "text": "Price" } } } }, "image/png": 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" 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Find examples of each barrier hit type\n", "tb_with_price = labels_tb.join(\n", " spy.select([\"timestamp\", \"close\"]), on=\"timestamp\", how=\"left\"\n", ").with_row_index(\"row_idx\")\n", "\n", "\n", "def plot_triple_barrier_example(\n", " df: pl.DataFrame, entry_idx: int, config: LabelingConfig, title: str\n", ") -> go.Figure:\n", " \"\"\"Plot a single triple-barrier trade example with barriers overlaid.\"\"\"\n", " # Get entry point\n", " entry_row = df.row(entry_idx, named=True)\n", " entry_price = entry_row[\"close\"]\n", " entry_time = entry_row[\"timestamp\"]\n", "\n", " # Calculate barrier levels\n", " upper_level = entry_price * (1 + config.upper_barrier)\n", " lower_level = entry_price * (1 - config.lower_barrier)\n", "\n", " # Get the forward price path\n", " forward_rows = df.filter(pl.col(\"timestamp\") >= entry_time).head(config.max_holding_period + 1)\n", "\n", " fig = go.Figure()\n", "\n", " # Price path\n", " fig.add_trace(\n", " go.Scatter(\n", " x=forward_rows[\"timestamp\"].to_list(),\n", " y=forward_rows[\"close\"].to_numpy(),\n", " mode=\"lines+markers\",\n", " name=\"Price\",\n", " line=dict(color=\"blue\", width=2),\n", " marker=dict(size=4),\n", " )\n", " )\n", "\n", " # Entry point\n", " fig.add_trace(\n", " go.Scatter(\n", " x=[entry_time],\n", " y=[entry_price],\n", " mode=\"markers\",\n", " name=\"Entry\",\n", " marker=dict(color=\"black\", size=12, symbol=\"star\"),\n", " )\n", " )\n", "\n", " # Upper barrier (horizontal line)\n", " fig.add_hline(\n", " y=upper_level,\n", " line_dash=\"dash\",\n", " line_color=\"green\",\n", " annotation_text=f\"TP: {upper_level:.2f} (+{config.upper_barrier:.1%})\",\n", " )\n", "\n", " # Lower barrier (horizontal line)\n", " fig.add_hline(\n", " y=lower_level,\n", " line_dash=\"dash\",\n", " line_color=\"red\",\n", " annotation_text=f\"SL: {lower_level:.2f} (-{config.lower_barrier:.1%})\",\n", " )\n", "\n", " # Time barrier (vertical line at end)\n", " # Note: Use add_shape instead of add_vline with annotation to avoid Plotly datetime bug\n", " time_barrier = forward_rows[\"timestamp\"].to_list()[-1] if len(forward_rows) > 0 else entry_time\n", " fig.add_shape(\n", " type=\"line\",\n", " x0=time_barrier,\n", " x1=time_barrier,\n", " y0=0,\n", " y1=1,\n", " yref=\"paper\",\n", " line=dict(color=\"gray\", dash=\"dot\"),\n", " )\n", " fig.add_annotation(\n", " x=time_barrier,\n", " y=1,\n", " yref=\"paper\",\n", " text=\"Time Barrier\",\n", " showarrow=False,\n", " yshift=10,\n", " )\n", "\n", " fig.update_layout(\n", " height=350,\n", " title=title,\n", " xaxis_title=\"Date\",\n", " yaxis_title=\"Price\",\n", " showlegend=True,\n", " )\n", " return fig\n", "\n", "\n", "# Find examples of each barrier type\n", "if \"barrier_hit\" in labels_tb.columns:\n", " # Get indices for different barrier hits\n", " examples = []\n", "\n", " for barrier_type in [\"upper\", \"lower\", \"time\"]:\n", " matches = tb_with_price.filter(\n", " (pl.col(\"barrier_hit\") == barrier_type) & (pl.col(\"close\").is_not_null())\n", " )\n", " if len(matches) > 10:\n", " # Pick an example from the middle of the dataset\n", " idx = len(matches) // 2\n", " row_idx = matches[\"row_idx\"][idx]\n", " examples.append((barrier_type, row_idx))\n", "\n", " # Plot examples\n", " for barrier_type, idx in examples[:3]: # Limit to 3 examples\n", " if idx < len(tb_with_price):\n", " fig = plot_triple_barrier_example(\n", " tb_with_price,\n", " idx,\n", " config,\n", " f\"Triple-Barrier Example: {barrier_type.upper()} barrier hit\",\n", " )\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "499fffed", "metadata": { "papermill": { "duration": 0.015429, "end_time": "2026-06-13T03:12:59.585188+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.569759+00:00", "status": "completed" } }, "source": [ "### 6.2 ATR-Based Barriers\n", "\n", "Volatility-adjusted barriers adapt to market conditions:\n", "- Low volatility → Tighter barriers (capture smaller moves)\n", "- High volatility → Wider barriers (avoid whipsaws)" ] }, { "cell_type": "code", "execution_count": 20, "id": "5192e670", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.618159Z", "iopub.status.busy": "2026-06-13T03:12:59.617976Z", "iopub.status.idle": "2026-06-13T03:12:59.622897Z", "shell.execute_reply": "2026-06-13T03:12:59.622340Z" }, "papermill": { "duration": 0.024481, "end_time": "2026-06-13T03:12:59.623502+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.599021+00:00", "status": "completed" } }, "outputs": [], "source": [ "# Compute ATR and convert to percentage-of-price barriers\n", "atr_period = 14\n", "atr_tp_multiple = 1.0 # 1x ATR take profit\n", "atr_sl_multiple = 0.5 # 0.5x ATR stop loss (tighter asymmetric)\n", "\n", "spy_atr = (\n", " spy.with_columns(\n", " pl.max_horizontal(\n", " pl.col(\"high\") - pl.col(\"low\"),\n", " (pl.col(\"high\") - pl.col(\"close\").shift(1)).abs(),\n", " (pl.col(\"low\") - pl.col(\"close\").shift(1)).abs(),\n", " ).alias(\"true_range\")\n", " )\n", " .with_columns(pl.col(\"true_range\").rolling_mean(atr_period).alias(\"atr_dollar\"))\n", " .with_columns(\n", " # Express barriers as fraction of entry price so they match the return-based engine\n", " (atr_tp_multiple * pl.col(\"atr_dollar\") / pl.col(\"close\")).alias(\"upper_barrier_pct\"),\n", " (atr_sl_multiple * pl.col(\"atr_dollar\") / pl.col(\"close\")).alias(\"lower_barrier_pct\"),\n", " )\n", " .drop_nulls()\n", ")" ] }, { "cell_type": "code", "execution_count": 21, "id": "442ee1b4", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.651977Z", "iopub.status.busy": "2026-06-13T03:12:59.651865Z", "iopub.status.idle": "2026-06-13T03:12:59.664482Z", "shell.execute_reply": "2026-06-13T03:12:59.663954Z" }, "papermill": { "duration": 0.02763, "end_time": "2026-06-13T03:12:59.664795+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.637165+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ATR Triple-Barrier Labels:\n", " ATR period: 14, TP: 1.0x ATR, SL: 0.5x ATR\n", "Label Distribution:\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (3, 2)\n", "┌─────────────┬──────┐\n", "│ barrier_hit ┆ len │\n", "│ --- ┆ --- │\n", "│ str ┆ u32 │\n", "╞═════════════╪══════╡\n", "│ lower ┆ 1273 │\n", "│ time ┆ 4 │\n", "│ upper ┆ 1226 │\n", "└─────────────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ATR as % of Close:\n" ] }, { "data": { "text/html": [ "
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"count"2503.0
"null_count"0.0
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" ], "text/plain": [ "shape: (9, 2)\n", "┌────────────┬──────────┐\n", "│ statistic ┆ value │\n", "│ --- ┆ --- │\n", "│ str ┆ f64 │\n", "╞════════════╪══════════╡\n", "│ count ┆ 2503.0 │\n", "│ null_count ┆ 0.0 │\n", "│ mean ┆ 0.012523 │\n", "│ std ┆ 0.007779 │\n", "│ min ┆ 0.003371 │\n", "│ 25% ┆ 0.007721 │\n", "│ 50% ┆ 0.010216 │\n", "│ 75% ┆ 0.015278 │\n", "│ max ┆ 0.083803 │\n", "└────────────┴──────────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use triple_barrier_labels with dynamic per-row percentage barriers\n", "atr_config = LabelingConfig.triple_barrier(\n", " upper_barrier=\"upper_barrier_pct\",\n", " lower_barrier=\"lower_barrier_pct\",\n", " max_holding_period=20,\n", " side=1,\n", ")\n", "labels_atr = triple_barrier_labels(\n", " spy_atr,\n", " config=atr_config,\n", " price_col=\"close\",\n", " timestamp_col=\"timestamp\",\n", ")\n", "\n", "print(\"ATR Triple-Barrier Labels:\")\n", "print(f\" ATR period: {atr_period}, TP: {atr_tp_multiple}x ATR, SL: {atr_sl_multiple}x ATR\")\n", "print(\"Label Distribution:\")\n", "display(labels_atr.group_by(\"label\").len().sort(\"label\"))\n", "\n", "if \"barrier_hit\" in labels_atr.columns:\n", " print(\"Barrier Hit Distribution:\")\n", " display(labels_atr.group_by(\"barrier_hit\").len().sort(\"barrier_hit\"))\n", "\n", "print(\"ATR as % of Close:\")\n", "display(spy_atr[\"upper_barrier_pct\"].describe())" ] }, { "cell_type": "markdown", "id": "9b9a26fb", "metadata": { "papermill": { "duration": 0.043446, "end_time": "2026-06-13T03:12:59.726509+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.683063+00:00", "status": "completed" } }, "source": [ "### 6.3 Sample Weights from Uniqueness\n", "\n", "Overlapping labels create mechanical dependence: high-concurrency periods\n", "dominate training loss. Weighting by uniqueness prevents these periods\n", "from overwhelming the model. De Prado introduces **uniqueness-based\n", "sample weights** where more unique samples (less overlap) get higher weights." ] }, { "cell_type": "code", "execution_count": 22, "id": "aabbb059", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.756728Z", "iopub.status.busy": "2026-06-13T03:12:59.756615Z", "iopub.status.idle": "2026-06-13T03:12:59.816680Z", "shell.execute_reply": "2026-06-13T03:12:59.815988Z" }, "papermill": { "duration": 0.075965, "end_time": "2026-06-13T03:12:59.817166+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.741201+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sample Weight Statistics:\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (9, 2)\n", "┌────────────┬───────────┐\n", "│ statistic ┆ value │\n", "│ --- ┆ --- │\n", "│ str ┆ f64 │\n", "╞════════════╪═══════════╡\n", "│ count ┆ 2516.0 │\n", "│ null_count ┆ 0.0 │\n", "│ mean ┆ 1.0 │\n", "│ std ┆ 1.051682 │\n", "│ min ┆ 0.0 │\n", "│ 25% ┆ 0.402811 │\n", "│ 50% ┆ 0.693517 │\n", "│ 75% ┆ 1.237279 │\n", "│ max ┆ 15.163374 │\n", "└────────────┴───────────┘" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "sample_weight=%{x}
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if \"sample_weight\" in labels_tb.columns:\n", " print(\"Sample Weight Statistics:\")\n", " display(labels_tb[\"sample_weight\"].describe())\n", "\n", " # Visualize weight distribution\n", " fig = px.histogram(\n", " labels_tb.filter(pl.col(\"sample_weight\").is_not_null()).to_pandas(),\n", " x=\"sample_weight\",\n", " nbins=50,\n", " title=\"Triple-Barrier Sample Weight Distribution\",\n", " )\n", " fig.update_layout(height=350)\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "89fabfe8", "metadata": { "papermill": { "duration": 0.015306, "end_time": "2026-06-13T03:12:59.852839+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.837533+00:00", "status": "completed" } }, "source": [ "### 6.4 Rich Triple-Barrier Output\n", "\n", "Unlike simple forward-return labels, triple-barrier output includes the **full\n", "trade outcome**. This is critical for MFE/MAE analysis (NB04) and position\n", "sizing (Ch20)." ] }, { "cell_type": "code", "execution_count": 23, "id": "1c31edbb", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.885591Z", "iopub.status.busy": "2026-06-13T03:12:59.885402Z", "iopub.status.idle": "2026-06-13T03:12:59.889617Z", "shell.execute_reply": "2026-06-13T03:12:59.889240Z" }, "papermill": { "duration": 0.02173, "end_time": "2026-06-13T03:12:59.890160+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.868430+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Triple-Barrier Output Columns:\n", " label Int32 — [-1]\n", " label_time Datetime(time_unit='us', time_zone=None) — [datetime.datetime(2015, 1, 5, 0, 0)]\n", " label_price Float64 — [167.05264282226562]\n", " label_return Float64 — [-0.018059410302626745]\n", " label_bars Int64 — [1]\n", " label_duration Duration(time_unit='us') — [datetime.timedelta(days=3)]\n", " barrier_hit String — ['lower']\n", " label_uniqueness Float64 — [0.75]\n", " sample_weight Float64 — [3.753870380490634]\n" ] } ], "source": [ "# Display all output columns from triple_barrier_labels\n", "output_cols = [\n", " c for c in labels_tb.columns if c.startswith(\"label\") or c in (\"barrier_hit\", \"sample_weight\")\n", "]\n", "print(\"Triple-Barrier Output Columns:\")\n", "for col in output_cols:\n", " dtype = labels_tb[col].dtype\n", " print(f\" {col:<20} {str(dtype):<12} — {labels_tb[col].drop_nulls().head(1).to_list()}\")" ] }, { "cell_type": "code", "execution_count": 24, "id": "4c1a9bd8", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.929224Z", "iopub.status.busy": "2026-06-13T03:12:59.929080Z", "iopub.status.idle": "2026-06-13T03:12:59.933928Z", "shell.execute_reply": "2026-06-13T03:12:59.933528Z" }, "papermill": { "duration": 0.026073, "end_time": "2026-06-13T03:12:59.934336+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.908263+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Trade Outcomes by Barrier Type:\n" ] }, { "data": { "text/html": [ "
\n", "shape: (3, 4)
barrier_hitcountmean_returnmedian_bars
stru32f64f64
"lower"1254-0.0172813.0
"time"1580.0073620.0
"upper"11040.0248276.0
" ], "text/plain": [ "shape: (3, 4)\n", "┌─────────────┬───────┬─────────────┬─────────────┐\n", "│ barrier_hit ┆ count ┆ mean_return ┆ median_bars │\n", "│ --- ┆ --- ┆ --- ┆ --- │\n", "│ str ┆ u32 ┆ f64 ┆ f64 │\n", "╞═════════════╪═══════╪═════════════╪═════════════╡\n", "│ lower ┆ 1254 ┆ -0.017281 ┆ 3.0 │\n", "│ time ┆ 158 ┆ 0.00736 ┆ 20.0 │\n", "│ upper ┆ 1104 ┆ 0.024827 ┆ 6.0 │\n", "└─────────────┴───────┴─────────────┴─────────────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Summary table: mean return and median holding period by barrier type\n", "barrier_summary = (\n", " labels_tb.filter(pl.col(\"barrier_hit\").is_not_null())\n", " .group_by(\"barrier_hit\")\n", " .agg(\n", " count=pl.len(),\n", " mean_return=pl.col(\"label_return\").mean(),\n", " median_bars=pl.col(\"label_bars\").median(),\n", " )\n", " .sort(\"barrier_hit\")\n", ")\n", "print(\"Trade Outcomes by Barrier Type:\")\n", "display(barrier_summary)" ] }, { "cell_type": "code", "execution_count": 25, "id": "ae8b8878", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:12:59.974503Z", "iopub.status.busy": "2026-06-13T03:12:59.974390Z", "iopub.status.idle": "2026-06-13T03:13:00.034389Z", "shell.execute_reply": "2026-06-13T03:13:00.033975Z" }, "papermill": { "duration": 0.081425, "end_time": "2026-06-13T03:13:00.034979+00:00", "exception": false, "start_time": "2026-06-13T03:12:59.953554+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "barrier_hit=lower
label_return=%{x}
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", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Return distribution colored by barrier hit type\n", "fig = px.histogram(\n", " labels_tb.filter(pl.col(\"label_return\").is_not_null()).to_pandas(),\n", " x=\"label_return\",\n", " color=\"barrier_hit\",\n", " nbins=50,\n", " barmode=\"overlay\",\n", " opacity=0.7,\n", " title=\"Label Return Distribution by Barrier Hit Type\",\n", ")\n", "fig.update_layout(height=350, xaxis_title=\"Label Return\", yaxis_title=\"Count\")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "7e0722c3", "metadata": { "papermill": { "duration": 0.0196, "end_time": "2026-06-13T03:13:00.074551+00:00", "exception": false, "start_time": "2026-06-13T03:13:00.054951+00:00", "status": "completed" } }, "source": [ "### 6.5 Sequential Bootstrap\n", "\n", "Overlapping labels create sample dependence. The **sequential bootstrap**\n", "(De Prado, AFML Ch4) generates bootstrap indices that respect label\n", "uniqueness — favoring samples with less concurrent overlap." ] }, { "cell_type": "code", "execution_count": 26, "id": "c9efe4ef", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:00.114741Z", "iopub.status.busy": "2026-06-13T03:13:00.114559Z", "iopub.status.idle": "2026-06-13T03:13:00.132762Z", "shell.execute_reply": "2026-06-13T03:13:00.132136Z" }, "papermill": { "duration": 0.04146, "end_time": "2026-06-13T03:13:00.133303+00:00", "exception": false, "start_time": "2026-06-13T03:13:00.091843+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Label Uniqueness: mean=0.166, std=0.104\n", " Range: [0.048, 0.750]\n" ] } ], "source": [ "# Extract label lifetimes as index ranges for the uniqueness calculation\n", "tb_valid = labels_tb.filter(pl.col(\"label_bars\").is_not_null()).with_row_index(\"idx\")\n", "\n", "starts = tb_valid[\"idx\"].to_numpy().astype(np.int64)\n", "ends = (starts + tb_valid[\"label_bars\"].to_numpy().astype(np.int64)).clip(max=len(tb_valid) - 1)\n", "\n", "# Compute uniqueness from indices\n", "uniqueness = calculate_label_uniqueness(starts, ends, n_bars=len(tb_valid))\n", "\n", "print(f\"Label Uniqueness: mean={uniqueness.mean():.3f}, std={uniqueness.std():.3f}\")\n", "print(f\" Range: [{uniqueness.min():.3f}, {uniqueness.max():.3f}]\")" ] }, { "cell_type": "code", "execution_count": 27, "id": "57ed3b36", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:00.177090Z", "iopub.status.busy": "2026-06-13T03:13:00.176969Z", "iopub.status.idle": "2026-06-13T03:13:04.133159Z", "shell.execute_reply": "2026-06-13T03:13:04.132721Z" }, "papermill": { "duration": 3.976884, "end_time": "2026-06-13T03:13:04.133609+00:00", "exception": false, "start_time": "2026-06-13T03:13:00.156725+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bootstrap Comparison:\n", " Sequential mean uniqueness: 0.185\n", " Naive mean uniqueness: 0.163\n", " Improvement: 13.7%\n" ] } ], "source": [ "# Sequential bootstrap vs naive random sampling\n", "n_draws = min(len(starts), 500)\n", "seq_indices = sequential_bootstrap(starts, ends, n_draws=n_draws, random_state=SEED)\n", "naive_indices = np.random.default_rng(SEED).choice(len(starts), size=n_draws, replace=True)\n", "\n", "# Compare uniqueness of selected samples\n", "seq_uniqueness = uniqueness[seq_indices]\n", "naive_uniqueness = uniqueness[naive_indices]\n", "\n", "print(\"Bootstrap Comparison:\")\n", "print(f\" Sequential mean uniqueness: {seq_uniqueness.mean():.3f}\")\n", "print(f\" Naive mean uniqueness: {naive_uniqueness.mean():.3f}\")\n", "print(f\" Improvement: {(seq_uniqueness.mean() / naive_uniqueness.mean() - 1):.1%}\")" ] }, { "cell_type": "code", "execution_count": 28, "id": "38ccd6a2", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:04.180036Z", "iopub.status.busy": "2026-06-13T03:13:04.179885Z", "iopub.status.idle": "2026-06-13T03:13:04.256114Z", "shell.execute_reply": "2026-06-13T03:13:04.255531Z" }, "papermill": { "duration": 0.100667, "end_time": "2026-06-13T03:13:04.256641+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.155974+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "marker": { "color": "gray" }, "name": "Naive", "nbinsx": 30, "opacity": 0.7, "type": "histogram", "x": { "bdata": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the difference\n", "fig = make_subplots(rows=1, cols=2, subplot_titles=[\"Naive Bootstrap\", \"Sequential Bootstrap\"])\n", "\n", "fig.add_trace(\n", " go.Histogram(x=naive_uniqueness, nbinsx=30, name=\"Naive\", marker_color=\"gray\", opacity=0.7),\n", " row=1,\n", " col=1,\n", ")\n", "fig.add_trace(\n", " go.Histogram(\n", " x=seq_uniqueness, nbinsx=30, name=\"Sequential\", marker_color=\"#2ca02c\", opacity=0.7\n", " ),\n", " row=1,\n", " col=2,\n", ")\n", "fig.update_xaxes(title_text=\"Uniqueness\", row=1, col=1)\n", "fig.update_xaxes(title_text=\"Uniqueness\", row=1, col=2)\n", "fig.update_layout(height=300, title_text=\"Sequential Bootstrap Favors Higher-Uniqueness Samples\")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "18b3cd59", "metadata": { "papermill": { "duration": 0.017427, "end_time": "2026-06-13T03:13:04.294904+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.277477+00:00", "status": "completed" } }, "source": [ "Sequential bootstrap produces training sets where each sample contributes\n", "more independent information. This reduces effective sample size but\n", "improves model generalization on overlapping label data." ] }, { "cell_type": "markdown", "id": "8eceaf4b", "metadata": { "papermill": { "duration": 0.015839, "end_time": "2026-06-13T03:13:04.326583+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.310744+00:00", "status": "completed" } }, "source": [ "### 6.6 Effective Sample Size\n", "\n", "The section text defines $N_{\\text{eff}} = \\sum_{t,a} w_{t,a}$ and gives\n", "a worked example: 100 ETFs $\\times$ 20 years $\\times$ 250 days $= 500{,}000$\n", "nominal labels; with $H=5$, $N_{\\text{eff}} \\approx 100{,}000$.\n", "Let us verify this empirically on our fixed-horizon ETF labels." ] }, { "cell_type": "code", "execution_count": 29, "id": "c56b98de", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:04.359719Z", "iopub.status.busy": "2026-06-13T03:13:04.359605Z", "iopub.status.idle": "2026-06-13T03:13:04.365203Z", "shell.execute_reply": "2026-06-13T03:13:04.364688Z" }, "papermill": { "duration": 0.022776, "end_time": "2026-06-13T03:13:04.365704+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.342928+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fixed-horizon ETF labels (H=21):\n", " Symbols: 100\n", " Nominal N: 248,436\n", " N_eff ≈ N/H: 11,830\n", " SE inflation: √21 ≈ 4.6× (confidence intervals based on N are this much too narrow)\n" ] } ], "source": [ "# Compute effective sample size for fixed-horizon labels on the ETF universe\n", "N_nominal = len(etf_with_fwd)\n", "n_symbols = etf_with_fwd[\"symbol\"].n_unique()\n", "\n", "# For fixed-horizon labels sampled at every bar, uniqueness ≈ 1/H\n", "# so N_eff ≈ N / H (ignoring cross-sectional correlation)\n", "N_eff_approx = N_nominal / horizon\n", "\n", "# Exact uniqueness for fixed-horizon: each label is alive for H bars,\n", "# and at each bar ~n_symbols labels are alive (one per asset).\n", "# Concurrency c(u) ≈ n_symbols × H for cross-sectional panels,\n", "# but uniqueness is computed per-asset: w ≈ 1/H for the time-series dimension.\n", "print(f\"Fixed-horizon ETF labels (H={horizon}):\")\n", "print(f\" Symbols: {n_symbols}\")\n", "print(f\" Nominal N: {N_nominal:,}\")\n", "print(f\" N_eff ≈ N/H: {N_eff_approx:,.0f}\")\n", "print(\n", " f\" SE inflation: √{horizon} ≈ {np.sqrt(horizon):.1f}× (confidence intervals based on N are this much too narrow)\"\n", ")" ] }, { "cell_type": "markdown", "id": "01c7f39d", "metadata": { "papermill": { "duration": 0.01844, "end_time": "2026-06-13T03:13:04.402626+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.384186+00:00", "status": "completed" } }, "source": [ "## 7. Trend Scanning Labels\n", "\n", "De Prado's adaptive approach that identifies trends using t-statistics.\n", "The method scans forward with varying windows and selects the one\n", "with the highest statistical significance." ] }, { "cell_type": "code", "execution_count": 30, "id": "d661968d", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:04.438154Z", "iopub.status.busy": "2026-06-13T03:13:04.437994Z", "iopub.status.idle": "2026-06-13T03:13:10.449272Z", "shell.execute_reply": "2026-06-13T03:13:10.448918Z" }, "papermill": { "duration": 6.030649, "end_time": "2026-06-13T03:13:10.449669+00:00", "exception": false, "start_time": "2026-06-13T03:13:04.419020+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Trend Scanning Labels:\n", "Label Distribution:\n" ] }, { "data": { "text/html": [ "
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"max"40.957685
" ], "text/plain": [ "shape: (9, 2)\n", "┌────────────┬────────────┐\n", "│ statistic ┆ value │\n", "│ --- ┆ --- │\n", "│ str ┆ f64 │\n", "╞════════════╪════════════╡\n", "│ count ┆ 2516.0 │\n", "│ null_count ┆ 0.0 │\n", "│ mean ┆ NaN │\n", "│ std ┆ NaN │\n", "│ min ┆ -24.614798 │\n", "│ 25% ┆ -3.869797 │\n", "│ 50% ┆ 4.877316 │\n", "│ 75% ┆ 8.357836 │\n", "│ max ┆ 40.957685 │\n", "└────────────┴────────────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels_trend = trend_scanning_labels(\n", " spy,\n", " min_window=5, # Minimum 5 days\n", " max_window=20, # Maximum 20 days\n", " step=1, # Check every window size\n", " price_col=\"close\",\n", ")\n", "\n", "print(\"Trend Scanning Labels:\")\n", "print(\"Label Distribution:\")\n", "display(labels_trend.group_by(\"label\").len().sort(\"label\"))\n", "\n", "if \"t_value\" in labels_trend.columns:\n", " print(\"T-Value Statistics:\")\n", " display(labels_trend[\"t_value\"].describe())" ] }, { "cell_type": "markdown", "id": "e8d1a51c", "metadata": { "papermill": { "duration": 0.01767, "end_time": "2026-06-13T03:13:10.488945+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.471275+00:00", "status": "completed" } }, "source": [ "### 7.1 Selection Bias in Trend Scanning\n", "\n", "Trend scanning picks the horizon with the strongest t-statistic for each\n", "observation. This maximization introduces **selection bias**: the reported\n", "t-statistics are systematically inflated. The Bonferroni correction raises\n", "the critical value to account for the number of horizons tested, requiring\n", "each t-statistic to clear a higher bar for significance." ] }, { "cell_type": "code", "execution_count": 31, "id": "0ea0aa93", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:10.524449Z", "iopub.status.busy": "2026-06-13T03:13:10.524329Z", "iopub.status.idle": "2026-06-13T03:13:10.526574Z", "shell.execute_reply": "2026-06-13T03:13:10.525931Z" }, "papermill": { "duration": 0.020647, "end_time": "2026-06-13T03:13:10.526933+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.506286+00:00", "status": "completed" } }, "outputs": [], "source": [ "# Distribution of selected horizons\n", "if \"optimal_window\" in labels_trend.columns:\n", " horizon_col = \"optimal_window\"\n", "elif \"best_window\" in labels_trend.columns:\n", " horizon_col = \"best_window\"\n", "else:\n", " horizon_col = None" ] }, { "cell_type": "code", "execution_count": 32, "id": "68d0639f", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:10.565242Z", "iopub.status.busy": "2026-06-13T03:13:10.565114Z", "iopub.status.idle": "2026-06-13T03:13:10.641484Z", "shell.execute_reply": "2026-06-13T03:13:10.641130Z" }, "papermill": { "duration": 0.095869, "end_time": "2026-06-13T03:13:10.642421+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.546552+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "marker": { "color": "#2166ac" }, "name": "Selected horizon", "nbinsx": 16, "showlegend": false, "type": "histogram", "x": { "bdata": "                  
   	                                                            
   	                              	                     
   	                                                
   	                     
   	                  
                                 	                                 
   	                                                                                 
                  
                                                               
                                             
   	                     
   	                     	                                                         
                     	                                                         
   	                                                                        
   	                     	                     
   	                                                                              
                                                            
   	                                 
                                                                     
   	               
   	            	                                                   
   	                                                   
   	                                                                                    	                                             
   	                                          	                                       
   	                                 
   	                                    	                                                                                                               
   	         
   	                              	               
   	            	                                                                                 	                                                
                              
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   	         
   	                                                   
   	                                                                                                
                                                                     
   	                                                                                                                                                            
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   	                                                
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                                                                           
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   	                                                                                                                        
   	                                          
   	            
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   	                              ", "dtype": "i4" }, "xaxis": "x", "yaxis": "y" }, { "marker": { "color": "rgba(33,102,172,0.5)" }, "name": "Raw t", "nbinsx": 50, "opacity": 0.7, "type": "histogram", "x": { "bdata": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if horizon_col is not None:\n", " fig = make_subplots(\n", " rows=1,\n", " cols=2,\n", " subplot_titles=[\"Selected Horizon Distribution\", \"Raw t-statistics (with critical values)\"],\n", " )\n", "\n", " # (a) Histogram of selected horizons\n", " selected_horizons = labels_trend[horizon_col].drop_nulls().cast(pl.Int32, strict=False)\n", " fig.add_trace(\n", " go.Histogram(\n", " x=selected_horizons.to_numpy(),\n", " nbinsx=16,\n", " name=\"Selected horizon\",\n", " marker_color=\"#2166ac\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=1,\n", " )\n", "\n", " # (b) Raw t-statistics vs Bonferroni-adjusted critical value\n", " if \"t_value\" in labels_trend.columns:\n", " n_candidates = 20 - 5 + 1 # max_window - min_window + 1\n", " raw_t = labels_trend[\"t_value\"].drop_nulls()\n", "\n", " # Bonferroni: raise the critical value by dividing alpha by n_candidates\n", " alpha = 0.05\n", " bonferroni_crit = sp_stats.norm.ppf(1 - alpha / (2 * n_candidates))\n", "\n", " fig.add_trace(\n", " go.Histogram(\n", " x=raw_t.to_numpy(),\n", " nbinsx=50,\n", " name=\"Raw t\",\n", " marker_color=\"rgba(33,102,172,0.5)\",\n", " opacity=0.7,\n", " ),\n", " row=1,\n", " col=2,\n", " )\n", "\n", " # Mark both critical values\n", " fig.add_vline(\n", " x=1.96, line_dash=\"dash\", line_color=\"blue\", annotation_text=\"t=1.96\", row=1, col=2\n", " )\n", " fig.add_vline(x=-1.96, line_dash=\"dash\", line_color=\"blue\", row=1, col=2)\n", " fig.add_vline(\n", " x=bonferroni_crit,\n", " line_dash=\"dash\",\n", " line_color=\"red\",\n", " annotation_text=f\"Bonf={bonferroni_crit:.2f}\",\n", " row=1,\n", " col=2,\n", " )\n", " fig.add_vline(x=-bonferroni_crit, line_dash=\"dash\", line_color=\"red\", row=1, col=2)\n", "\n", " # Significance counts\n", " raw_significant = (raw_t.abs() > 1.96).sum()\n", " corrected_significant = (raw_t.abs() > bonferroni_crit).sum()\n", "\n", " fig.update_xaxes(title_text=\"Horizon (bars)\", row=1, col=1)\n", " fig.update_xaxes(title_text=\"t-statistic\", row=1, col=2)\n", " fig.update_yaxes(title_text=\"Count\", row=1, col=1)\n", " fig.update_layout(height=350, font=dict(size=12))\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "4a59c39e", "metadata": { "papermill": { "duration": 0.01963, "end_time": "2026-06-13T03:13:10.691714+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.672084+00:00", "status": "completed" } }, "source": [ "The Bonferroni correction is conservative but illustrates the magnitude of\n", "the selection effect. After correction, many trends that appeared \"significant\"\n", "under the uncorrected test lose significance — confirming the text's warning\n", "that uncorrected trend scanning t-statistics should not be taken at face value." ] }, { "cell_type": "code", "execution_count": 33, "id": "3b91f50b", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:10.728219Z", "iopub.status.busy": "2026-06-13T03:13:10.728028Z", "iopub.status.idle": "2026-06-13T03:13:10.730625Z", "shell.execute_reply": "2026-06-13T03:13:10.730290Z" }, "papermill": { "duration": 0.022201, "end_time": "2026-06-13T03:13:10.731417+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.709216+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Candidate horizons tested: 16\n", "Bonferroni critical value: 2.96 (vs 1.96 uncorrected)\n", "Significant at 5% (raw): 2,475 / 2,516 (98.4%)\n", "Significant at 5% (Bonferroni): 2,320 / 2,516 (92.2%)\n", "Fraction losing significance: 6.3%\n" ] } ], "source": [ "if horizon_col is not None and \"t_value\" in labels_trend.columns:\n", " sign_change_frac = 1 - corrected_significant / max(raw_significant, 1)\n", " print(f\"Candidate horizons tested: {n_candidates}\")\n", " print(f\"Bonferroni critical value: {bonferroni_crit:.2f} (vs 1.96 uncorrected)\")\n", " print(\n", " f\"Significant at 5% (raw): {raw_significant:,} / {len(raw_t):,} ({raw_significant / len(raw_t):.1%})\"\n", " )\n", " print(\n", " f\"Significant at 5% (Bonferroni): {corrected_significant:,} / {len(raw_t):,} ({corrected_significant / len(raw_t):.1%})\"\n", " )\n", " print(f\"Fraction losing significance: {sign_change_frac:.1%}\")" ] }, { "cell_type": "markdown", "id": "fd70c46d", "metadata": { "papermill": { "duration": 0.022076, "end_time": "2026-06-13T03:13:10.778479+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.756403+00:00", "status": "completed" } }, "source": [ "## 7.5 Meta-Labeling Concept\n", "\n", "**Meta-labeling** separates the signal from the sizing decision:\n", "\n", "1. A primary model generates directional signals (+1 long, -1 short)\n", "2. Triple-barrier labels determine whether each signal was profitable\n", "3. A secondary (meta) model learns *when to act* and *how much to bet*\n", "\n", "This decomposes the problem: the primary model handles *direction*,\n", "the meta-model handles *confidence*. The cells below illustrate the\n", "construction on SPY; the case studies in this book do not adopt\n", "meta-labeling (each case study trains a single model on one label\n", "horizon and sizes positions through an allocator), but the pattern\n", "transfers directly to any directional model already in place." ] }, { "cell_type": "code", "execution_count": 34, "id": "ff98f37d", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:10.821868Z", "iopub.status.busy": "2026-06-13T03:13:10.821757Z", "iopub.status.idle": "2026-06-13T03:13:10.828581Z", "shell.execute_reply": "2026-06-13T03:13:10.828174Z" }, "papermill": { "duration": 0.029588, "end_time": "2026-06-13T03:13:10.829122+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.799534+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Meta-Label Distribution:\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ "shape: (2, 2)\n", "┌────────────┬──────┐\n", "│ meta_label ┆ len │\n", "│ --- ┆ --- │\n", "│ i32 ┆ u32 │\n", "╞════════════╪══════╡\n", "│ 0 ┆ 1096 │\n", "│ 1 ┆ 1399 │\n", "└────────────┴──────┘" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simple primary signal: buy when 20-day momentum is positive\n", "spy_meta = spy.with_columns(\n", " signal=pl.when(pl.col(\"close\") > pl.col(\"close\").shift(20)).then(1).otherwise(-1),\n", " fwd_return=(pl.col(\"close\").shift(-horizon) / pl.col(\"close\") - 1),\n", ").drop_nulls()\n", "\n", "# Create meta-labels: was the signal profitable?\n", "spy_meta = meta_labels(spy_meta, signal_col=\"signal\", return_col=\"fwd_return\")\n", "\n", "print(\"Meta-Label Distribution:\")\n", "display(spy_meta.group_by(\"meta_label\").len().sort(\"meta_label\"))" ] }, { "cell_type": "code", "execution_count": 35, "id": "336fe836", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:10.885272Z", "iopub.status.busy": "2026-06-13T03:13:10.885018Z", "iopub.status.idle": "2026-06-13T03:13:10.890139Z", "shell.execute_reply": "2026-06-13T03:13:10.889748Z" }, "papermill": { "duration": 0.024649, "end_time": "2026-06-13T03:13:10.890473+00:00", "exception": false, "start_time": "2026-06-13T03:13:10.865824+00:00", "status": "completed" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bet Size Statistics (sigmoid method):\n" ] }, { "data": { "text/html": [ "
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"title": { "text": "label_return_21p" } } } }, "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def label_diagnostics(\n", " df: pl.DataFrame,\n", " label_col: str,\n", " timestamp_col: str = \"timestamp\",\n", " title_prefix: str = \"\",\n", ") -> None:\n", " \"\"\"\n", " Generate diagnostic plots for any label column.\n", "\n", " Works with both continuous (returns) and discrete (classification) labels.\n", " \"\"\"\n", " labels = df[label_col].drop_nulls()\n", " n_unique = labels.n_unique()\n", " is_discrete = n_unique <= 10 # Heuristic: discrete if few unique values\n", "\n", " if is_discrete:\n", " # Discrete label diagnostics\n", " print(f\"\\n{'=' * 60}\")\n", " print(f\"{title_prefix} Discrete Label Diagnostics\")\n", " print(f\"{'=' * 60}\")\n", " print(f\"Unique values: {labels.unique().sort().to_list()}\")\n", "\n", " # Exclude nulls from value counts\n", " df_non_null = df.drop_nulls(subset=[label_col])\n", " print(\"Value Counts:\")\n", " display(df_non_null.group_by(label_col).len().sort(label_col))\n", "\n", " # Bar chart of label distribution\n", " fig = px.bar(\n", " df_non_null.group_by(label_col).len().sort(label_col).to_pandas(),\n", " x=label_col,\n", " y=\"len\",\n", " title=f\"{title_prefix} Label Distribution\",\n", " )\n", " fig.update_layout(height=300)\n", " fig.show()\n", "\n", " # Class balance over time\n", " if timestamp_col in df.columns:\n", " by_date = (\n", " df.group_by([timestamp_col, label_col])\n", " .len()\n", " .pivot(on=label_col, index=timestamp_col, values=\"len\")\n", " .sort(timestamp_col)\n", " )\n", " # Compute class proportions (robust to missing classes on a date)\n", " count_cols = [c for c in by_date.columns if c != timestamp_col]\n", " if count_cols:\n", " by_date = by_date.with_columns([pl.col(c).fill_null(0) for c in count_cols])\n", " by_date = by_date.with_columns(\n", " pl.sum_horizontal([pl.col(c) for c in count_cols]).alias(\"_total\")\n", " )\n", " by_date = by_date.with_columns(\n", " [\n", " pl.when(pl.col(\"_total\") > 0)\n", " .then(pl.col(c) / pl.col(\"_total\"))\n", " .otherwise(None)\n", " .alias(f\"{c}_pct\")\n", " for c in count_cols\n", " ]\n", " )\n", "\n", " # Plot proportions\n", " fig = go.Figure()\n", " for col in by_date.columns:\n", " if col.endswith(\"_pct\"):\n", " fig.add_trace(\n", " go.Scatter(\n", " x=by_date[timestamp_col].to_list(),\n", " y=by_date[col].to_numpy(),\n", " mode=\"lines\",\n", " name=col.replace(\"_pct\", \"\"),\n", " )\n", " )\n", " fig.update_layout(\n", " height=300,\n", " title=f\"{title_prefix} Class Proportions Over Time\",\n", " yaxis_title=\"Proportion\",\n", " )\n", " fig.show()\n", " else:\n", " # Continuous label diagnostics\n", " print(f\"\\n{'=' * 60}\")\n", " print(f\"{title_prefix} Continuous Label Diagnostics\")\n", " print(f\"{'=' * 60}\")\n", " display(labels.describe())\n", "\n", " # Histogram\n", " fig = px.histogram(\n", " x=labels.to_numpy(),\n", " nbins=50,\n", " title=f\"{title_prefix} Label Distribution\",\n", " )\n", " fig.update_layout(height=300)\n", " fig.show()\n", "\n", " # Time series if available\n", " if timestamp_col in df.columns:\n", " fig = px.line(\n", " df.select([timestamp_col, label_col]).drop_nulls().to_pandas(),\n", " x=timestamp_col,\n", " y=label_col,\n", " title=f\"{title_prefix} Labels Over Time\",\n", " )\n", " fig.update_layout(height=300)\n", " fig.show()\n", "\n", "\n", "# Example: run diagnostics on fixed horizon labels\n", "label_diagnostics(labels_returns, fh_label_col, title_prefix=\"Fixed Horizon (20d)\")" ] }, { "cell_type": "markdown", "id": "97b76504", "metadata": { "papermill": { "duration": 0.02412, "end_time": "2026-06-13T03:13:11.632860+00:00", "exception": false, "start_time": "2026-06-13T03:13:11.608740+00:00", "status": "completed" } }, "source": [ "## 9. Label Method Comparison\n", "\n", "**Important**: We must compare continuous vs discrete labels separately.\n", "Mixing them on the same visual axis is conceptually misleading." ] }, { "cell_type": "code", "execution_count": 37, "id": "7a41950a", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:11.683736Z", "iopub.status.busy": "2026-06-13T03:13:11.683623Z", "iopub.status.idle": "2026-06-13T03:13:11.751778Z", "shell.execute_reply": "2026-06-13T03:13:11.751298Z" }, "papermill": { "duration": 0.099181, "end_time": "2026-06-13T03:13:11.752141+00:00", "exception": false, "start_time": "2026-06-13T03:13:11.652960+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "name": "Fixed Horizon", "nbinsx": 50, "showlegend": false, "type": "histogram", "x": { "bdata": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Continuous targets comparison\n", "fig = make_subplots(\n", " rows=1,\n", " cols=2,\n", " subplot_titles=[\"Fixed Horizon Returns\", \"Label Return (from Triple-Barrier)\"],\n", " horizontal_spacing=0.1,\n", ")\n", "\n", "# Fixed horizon returns\n", "fig.add_trace(\n", " go.Histogram(\n", " x=labels_returns[fh_label_col].drop_nulls().to_numpy(),\n", " nbinsx=50,\n", " name=\"Fixed Horizon\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "\n", "# Triple-barrier final returns (before discretization)\n", "if \"label_return\" in labels_tb.columns:\n", " fig.add_trace(\n", " go.Histogram(\n", " x=labels_tb[\"label_return\"].drop_nulls().to_numpy(),\n", " nbinsx=50,\n", " name=\"TB Label Return\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=2,\n", " )\n", "\n", "fig.update_layout(\n", " height=350,\n", " title_text=\"Continuous Targets Comparison\",\n", ")\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 38, "id": "65515608", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:11.798028Z", "iopub.status.busy": "2026-06-13T03:13:11.797848Z", "iopub.status.idle": "2026-06-13T03:13:11.882977Z", "shell.execute_reply": "2026-06-13T03:13:11.882509Z" }, "papermill": { "duration": 0.109978, "end_time": "2026-06-13T03:13:11.883357+00:00", "exception": false, "start_time": "2026-06-13T03:13:11.773379+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "name": "Binary", "showlegend": false, "type": "histogram", "x": { "bdata": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Discrete targets comparison\n", "fig = make_subplots(\n", " rows=1,\n", " cols=3,\n", " subplot_titles=[\"Fixed Horizon Binary\", \"Triple-Barrier Label\", \"ATR-Barrier Label\"],\n", " horizontal_spacing=0.08,\n", ")\n", "\n", "# Fixed horizon binary\n", "fig.add_trace(\n", " go.Histogram(\n", " x=labels_binary[binary_label_col].drop_nulls().to_numpy(),\n", " name=\"Binary\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "\n", "# Triple barrier discrete\n", "fig.add_trace(\n", " go.Histogram(\n", " x=labels_tb.filter(pl.col(\"label\").is_not_null())[\"label\"].to_numpy(),\n", " name=\"Triple Barrier\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=2,\n", ")\n", "\n", "# ATR barrier discrete\n", "fig.add_trace(\n", " go.Histogram(\n", " x=labels_atr.filter(pl.col(\"label\").is_not_null())[\"label\"].to_numpy(),\n", " name=\"ATR Barrier\",\n", " showlegend=False,\n", " ),\n", " row=1,\n", " col=3,\n", ")" ] }, { "cell_type": "code", "execution_count": 39, "id": "d79118e0", "metadata": { "execution": { "iopub.execute_input": "2026-06-13T03:13:11.935778Z", "iopub.status.busy": "2026-06-13T03:13:11.935586Z", "iopub.status.idle": "2026-06-13T03:13:11.984798Z", "shell.execute_reply": "2026-06-13T03:13:11.984371Z" }, "papermill": { "duration": 0.078108, "end_time": "2026-06-13T03:13:11.985120+00:00", "exception": false, "start_time": "2026-06-13T03:13:11.907012+00:00", "status": "completed" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "name": "Binary", "showlegend": false, "type": "histogram", "x": { "bdata": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig.update_layout(\n", " height=350,\n", " title_text=\"Discrete Targets Comparison\",\n", ")\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "9a4be03d", "metadata": { "papermill": { "duration": 0.022356, "end_time": "2026-06-13T03:13:12.038696+00:00", "exception": false, "start_time": "2026-06-13T03:13:12.016340+00:00", "status": "completed" } }, "source": [ "## 10. Method Comparison: Decision Guide\n", "\n", "| Strategy Type | Recommended Method | Rationale |\n", "|--------------|-------------------|-----------|\n", "| Factor timing (monthly) | Fixed horizon | Simple, stationary targets |\n", "| Stat arb (intraday) | Fixed horizon binary | Speed matters |\n", "| Cross-sectional ranking | **Cross-sectional percentile** | Stable class balance |\n", "| Active trading | Triple barrier (ATR) | Matches trade mechanics |\n", "| Trend following | Trend scanning | Data-driven trend ID |\n", "\n", "**Key Considerations**:\n", "\n", "1. **Anchor alignment**: Match label computation to execution timing\n", "2. **Cross-sectional vs time-series**: Most equity/ETF strategies need cross-sectional\n", "3. **Path-dependence**: Use triple-barrier when stop losses are part of the strategy\n", "4. **Volatility adaptation**: ATR-based barriers for changing market conditions" ] }, { "cell_type": "markdown", "id": "6f543415", "metadata": { "papermill": { "duration": 0.022991, "end_time": "2026-06-13T03:13:12.083933+00:00", "exception": false, "start_time": "2026-06-13T03:13:12.060942+00:00", "status": "completed" } }, "source": [ "## Summary\n", "\n", "### Key Takeaways\n", "\n", "1. **Fixed horizon** for simple regression/classification targets\n", "2. **Rolling percentile** for time-series adaptive thresholds (single instrument)\n", "3. **Cross-sectional percentile** for relative ranking within a universe\n", "4. **Triple barrier (ATR)** for realistic trading simulations with stops\n", "5. **Trend scanning** for data-driven trend identification\n", "6. **Anchor alignment** is critical - close-to-close vs next-open matters\n", "\n", "### Production Usage\n", "\n", "For production label computation, use the experiment configuration module\n", "which centralizes method, horizon, and threshold choices per case study.\n", "The case study label notebooks (NB09–NB17) demonstrate this pipeline.\n", "\n", "### References\n", "\n", "- Lopez de Prado, M. (2018). *Advances in Financial Machine Learning*. Wiley.\n", " - Chapter 3: Labeling (Triple-Barrier, Meta-Labeling)\n", " - Chapter 4: Sample Weights (Uniqueness)\n", "- See [`04_minimum_favorable_adverse_excursion`](04_minimum_favorable_adverse_excursion.ipynb) for empirical barrier calibration" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.3" }, "papermill": { "default_parameters": {}, "duration": 22.356071, "end_time": "2026-06-13T03:13:14.730391+00:00", "environment_variables": {}, "exception": null, "input_path": "07_defining_the_learning_task/03_label_methods.ipynb", "output_path": "07_defining_the_learning_task/03_label_methods.ipynb", "parameters": {}, "start_time": "2026-06-13T03:12:52.374320+00:00", "version": "2.7.0" }, "jupytext": { "cell_metadata_filter": "tags,-all" }, "ml4t_provenance": { "source_py_blob": "ad2c6e1c7ea93d3fa0ca7cecc1a322361da2cd0e", "executed_at": "2026-06-13T03:13:14.985415+00:00", "executor": "cpu-local", "production": true, "parameters": {}, "notes": "executed-state finalization batch (2026-06-13 run)" } }, "nbformat": 4, "nbformat_minor": 5 }