452 lines
14 KiB
Python
452 lines
14 KiB
Python
# Copyright (c) Facebook, Inc. and its affiliates.
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#
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# This source code is licensed under the MIT license found in the
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# LICENSE file in the root directory of this source tree.
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import torch
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class LatencyMetric(object):
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@staticmethod
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def length_from_padding_mask(padding_mask, batch_first: bool = False):
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dim = 1 if batch_first else 0
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return padding_mask.size(dim) - padding_mask.sum(dim=dim, keepdim=True)
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def prepare_latency_metric(
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self,
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delays,
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src_lens,
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target_padding_mask=None,
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batch_first: bool = False,
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start_from_zero: bool = True,
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):
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assert len(delays.size()) == 2
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assert len(src_lens.size()) == 2
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if start_from_zero:
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delays = delays + 1
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if batch_first:
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# convert to batch_last
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delays = delays.t()
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src_lens = src_lens.t()
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tgt_len, bsz = delays.size()
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_, bsz_1 = src_lens.size()
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if target_padding_mask is not None:
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target_padding_mask = target_padding_mask.t()
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tgt_len_1, bsz_2 = target_padding_mask.size()
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assert tgt_len == tgt_len_1
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assert bsz == bsz_2
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assert bsz == bsz_1
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if target_padding_mask is None:
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tgt_lens = tgt_len * delays.new_ones([1, bsz]).float()
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else:
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# 1, batch_size
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tgt_lens = self.length_from_padding_mask(target_padding_mask, False).float()
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delays = delays.masked_fill(target_padding_mask, 0)
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return delays, src_lens, tgt_lens, target_padding_mask
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def __call__(
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self,
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delays,
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src_lens,
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target_padding_mask=None,
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batch_first: bool = False,
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start_from_zero: bool = True,
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):
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delays, src_lens, tgt_lens, target_padding_mask = self.prepare_latency_metric(
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delays, src_lens, target_padding_mask, batch_first, start_from_zero
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)
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return self.cal_metric(delays, src_lens, tgt_lens, target_padding_mask)
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@staticmethod
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def cal_metric(delays, src_lens, tgt_lens, target_padding_mask):
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"""
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Expected sizes:
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delays: tgt_len, batch_size
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src_lens: 1, batch_size
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target_padding_mask: tgt_len, batch_size
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"""
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raise NotImplementedError
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class AverageProportion(LatencyMetric):
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"""
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Function to calculate Average Proportion from
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Can neural machine translation do simultaneous translation?
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(https://arxiv.org/abs/1606.02012)
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Delays are monotonic steps, range from 1 to src_len.
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Give src x tgt y, AP is calculated as:
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AP = 1 / (|x||y]) sum_i^|Y| deleys_i
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"""
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@staticmethod
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def cal_metric(delays, src_lens, tgt_lens, target_padding_mask):
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if target_padding_mask is not None:
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AP = torch.sum(
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delays.masked_fill(target_padding_mask, 0), dim=0, keepdim=True
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)
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else:
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AP = torch.sum(delays, dim=0, keepdim=True)
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AP = AP / (src_lens * tgt_lens)
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return AP
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class AverageLagging(LatencyMetric):
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"""
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Function to calculate Average Lagging from
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STACL: Simultaneous Translation with Implicit Anticipation
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and Controllable Latency using Prefix-to-Prefix Framework
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(https://arxiv.org/abs/1810.08398)
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Delays are monotonic steps, range from 1 to src_len.
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Give src x tgt y, AP is calculated as:
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AL = 1 / tau sum_i^tau delays_i - (i - 1) / gamma
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Where
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gamma = |y| / |x|
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tau = argmin_i(delays_i = |x|)
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"""
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@staticmethod
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def cal_metric(delays, src_lens, tgt_lens, target_padding_mask):
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# tau = argmin_i(delays_i = |x|)
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tgt_len, bsz = delays.size()
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lagging_padding_mask = delays >= src_lens
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lagging_padding_mask = torch.nn.functional.pad(
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lagging_padding_mask.t(), (1, 0)
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).t()[:-1, :]
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gamma = tgt_lens / src_lens
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lagging = (
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delays
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- torch.arange(delays.size(0))
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.unsqueeze(1)
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.type_as(delays)
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.expand_as(delays)
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/ gamma
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)
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lagging.masked_fill_(lagging_padding_mask, 0)
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tau = (1 - lagging_padding_mask.type_as(lagging)).sum(dim=0, keepdim=True)
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AL = lagging.sum(dim=0, keepdim=True) / tau
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return AL
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class DifferentiableAverageLagging(LatencyMetric):
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"""
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Function to calculate Differentiable Average Lagging from
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Monotonic Infinite Lookback Attention for Simultaneous Machine Translation
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(https://arxiv.org/abs/1906.05218)
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Delays are monotonic steps, range from 0 to src_len-1.
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(In the original paper thery are from 1 to src_len)
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Give src x tgt y, AP is calculated as:
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DAL = 1 / |Y| sum_i^|Y| delays'_i - (i - 1) / gamma
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Where
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delays'_i =
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1. delays_i if i == 1
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2. max(delays_i, delays'_{i-1} + 1 / gamma)
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"""
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@staticmethod
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def cal_metric(delays, src_lens, tgt_lens, target_padding_mask):
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tgt_len, bsz = delays.size()
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gamma = tgt_lens / src_lens
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new_delays = torch.zeros_like(delays)
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for i in range(delays.size(0)):
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if i == 0:
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new_delays[i] = delays[i]
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else:
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new_delays[i] = torch.cat(
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[
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new_delays[i - 1].unsqueeze(0) + 1 / gamma,
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delays[i].unsqueeze(0),
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],
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dim=0,
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).max(dim=0)[0]
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DAL = (
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new_delays
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- torch.arange(delays.size(0))
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.unsqueeze(1)
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.type_as(delays)
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.expand_as(delays)
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/ gamma
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)
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if target_padding_mask is not None:
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DAL = DAL.masked_fill(target_padding_mask, 0)
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DAL = DAL.sum(dim=0, keepdim=True) / tgt_lens
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return DAL
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class LatencyMetricVariance(LatencyMetric):
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def prepare_latency_metric(
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self,
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delays,
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src_lens,
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target_padding_mask=None,
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batch_first: bool = True,
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start_from_zero: bool = True,
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):
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assert batch_first
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assert len(delays.size()) == 3
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assert len(src_lens.size()) == 2
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if start_from_zero:
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delays = delays + 1
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# convert to batch_last
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bsz, num_heads_x_layers, tgt_len = delays.size()
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bsz_1, _ = src_lens.size()
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assert bsz == bsz_1
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if target_padding_mask is not None:
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bsz_2, tgt_len_1 = target_padding_mask.size()
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assert tgt_len == tgt_len_1
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assert bsz == bsz_2
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if target_padding_mask is None:
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tgt_lens = tgt_len * delays.new_ones([bsz, tgt_len]).float()
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else:
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# batch_size, 1
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tgt_lens = self.length_from_padding_mask(target_padding_mask, True).float()
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delays = delays.masked_fill(target_padding_mask.unsqueeze(1), 0)
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return delays, src_lens, tgt_lens, target_padding_mask
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class VarianceDelay(LatencyMetricVariance):
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@staticmethod
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def cal_metric(delays, src_lens, tgt_lens, target_padding_mask):
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"""
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delays : bsz, num_heads_x_layers, tgt_len
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src_lens : bsz, 1
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target_lens : bsz, 1
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target_padding_mask: bsz, tgt_len or None
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"""
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if delays.size(1) == 1:
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return delays.new_zeros([1])
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variance_delays = delays.var(dim=1)
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if target_padding_mask is not None:
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variance_delays.masked_fill_(target_padding_mask, 0)
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return variance_delays.sum(dim=1, keepdim=True) / tgt_lens
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class LatencyInference(object):
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def __init__(self, start_from_zero=True):
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self.metric_calculator = {
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"differentiable_average_lagging": DifferentiableAverageLagging(),
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"average_lagging": AverageLagging(),
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"average_proportion": AverageProportion(),
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}
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self.start_from_zero = start_from_zero
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def __call__(self, monotonic_step, src_lens):
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"""
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monotonic_step range from 0 to src_len. src_len means eos
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delays: bsz, tgt_len
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src_lens: bsz, 1
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"""
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if not self.start_from_zero:
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monotonic_step -= 1
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src_lens = src_lens
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delays = monotonic_step.view(
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monotonic_step.size(0), -1, monotonic_step.size(-1)
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).max(dim=1)[0]
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delays = delays.masked_fill(delays >= src_lens, 0) + (src_lens - 1).expand_as(
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delays
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).masked_fill(delays < src_lens, 0)
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return_dict = {}
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for key, func in self.metric_calculator.items():
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return_dict[key] = func(
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delays.float(),
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src_lens.float(),
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target_padding_mask=None,
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batch_first=True,
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start_from_zero=True,
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).t()
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return return_dict
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class LatencyTraining(object):
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def __init__(
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self,
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avg_weight,
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var_weight,
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avg_type,
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var_type,
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stay_on_last_token,
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average_method,
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):
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self.avg_weight = avg_weight
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self.var_weight = var_weight
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self.avg_type = avg_type
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self.var_type = var_type
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self.stay_on_last_token = stay_on_last_token
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self.average_method = average_method
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self.metric_calculator = {
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"differentiable_average_lagging": DifferentiableAverageLagging(),
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"average_lagging": AverageLagging(),
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"average_proportion": AverageProportion(),
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}
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self.variance_calculator = {
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"variance_delay": VarianceDelay(),
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}
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def expected_delays_from_attention(
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self, attention, source_padding_mask=None, target_padding_mask=None
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):
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if type(attention) == list:
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# bsz, num_heads, tgt_len, src_len
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bsz, num_heads, tgt_len, src_len = attention[0].size()
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attention = torch.cat(attention, dim=1)
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bsz, num_heads_x_layers, tgt_len, src_len = attention.size()
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# bsz * num_heads * num_layers, tgt_len, src_len
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attention = attention.view(-1, tgt_len, src_len)
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else:
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# bsz * num_heads * num_layers, tgt_len, src_len
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bsz, tgt_len, src_len = attention.size()
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num_heads_x_layers = 1
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attention = attention.view(-1, tgt_len, src_len)
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if not self.stay_on_last_token:
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residual_attention = 1 - attention[:, :, :-1].sum(dim=2, keepdim=True)
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attention = torch.cat([attention[:, :, :-1], residual_attention], dim=2)
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# bsz * num_heads_x_num_layers, tgt_len, src_len for MMA
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steps = (
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torch.arange(1, 1 + src_len)
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.unsqueeze(0)
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.unsqueeze(1)
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.expand_as(attention)
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.type_as(attention)
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)
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if source_padding_mask is not None:
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src_offset = (
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source_padding_mask.type_as(attention)
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.sum(dim=1, keepdim=True)
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.expand(bsz, num_heads_x_layers)
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.contiguous()
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.view(-1, 1)
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)
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src_lens = src_len - src_offset
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if source_padding_mask[:, 0].any():
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# Pad left
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src_offset = src_offset.view(-1, 1, 1)
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steps = steps - src_offset
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steps = steps.masked_fill(steps <= 0, 0)
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else:
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src_lens = attention.new_ones([bsz, num_heads_x_layers]) * src_len
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src_lens = src_lens.view(-1, 1)
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# bsz * num_heads_num_layers, tgt_len, src_len
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expected_delays = (
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(steps * attention).sum(dim=2).view(bsz, num_heads_x_layers, tgt_len)
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)
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if target_padding_mask is not None:
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expected_delays.masked_fill_(target_padding_mask.unsqueeze(1), 0)
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return expected_delays, src_lens
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def avg_loss(self, expected_delays, src_lens, target_padding_mask):
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bsz, num_heads_x_layers, tgt_len = expected_delays.size()
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target_padding_mask = (
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target_padding_mask.unsqueeze(1)
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.expand_as(expected_delays)
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.contiguous()
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.view(-1, tgt_len)
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)
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if self.average_method == "average":
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# bsz * tgt_len
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expected_delays = expected_delays.mean(dim=1)
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elif self.average_method == "weighted_average":
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weights = torch.nn.functional.softmax(expected_delays, dim=1)
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expected_delays = torch.sum(expected_delays * weights, dim=1)
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elif self.average_method == "max":
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# bsz * num_heads_x_num_layers, tgt_len
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expected_delays = expected_delays.max(dim=1)[0]
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else:
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raise RuntimeError(f"{self.average_method} is not supported")
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src_lens = src_lens.view(bsz, -1)[:, :1]
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target_padding_mask = target_padding_mask.view(bsz, -1, tgt_len)[:, 0]
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if self.avg_weight > 0.0:
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if self.avg_type in self.metric_calculator:
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average_delays = self.metric_calculator[self.avg_type](
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expected_delays,
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src_lens,
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target_padding_mask,
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batch_first=True,
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start_from_zero=False,
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)
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else:
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raise RuntimeError(f"{self.avg_type} is not supported.")
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# bsz * num_heads_x_num_layers, 1
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return self.avg_weight * average_delays.sum()
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else:
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return 0.0
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def var_loss(self, expected_delays, src_lens, target_padding_mask):
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src_lens = src_lens.view(expected_delays.size(0), expected_delays.size(1))[
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:, :1
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]
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if self.var_weight > 0.0:
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if self.var_type in self.variance_calculator:
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variance_delays = self.variance_calculator[self.var_type](
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expected_delays,
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src_lens,
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target_padding_mask,
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batch_first=True,
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start_from_zero=False,
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)
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else:
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raise RuntimeError(f"{self.var_type} is not supported.")
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return self.var_weight * variance_delays.sum()
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else:
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return 0.0
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def loss(self, attention, source_padding_mask=None, target_padding_mask=None):
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expected_delays, src_lens = self.expected_delays_from_attention(
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attention, source_padding_mask, target_padding_mask
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)
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latency_loss = 0
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latency_loss += self.avg_loss(expected_delays, src_lens, target_padding_mask)
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latency_loss += self.var_loss(expected_delays, src_lens, target_padding_mask)
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return latency_loss
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