Files
rushter--mlalgorithms/mla/neuralnet/activations.py
T
2026-07-13 13:39:55 +08:00

65 lines
1.2 KiB
Python

import autograd.numpy as np
"""
References:
https://en.wikipedia.org/wiki/Activation_function
"""
def sigmoid(z):
return 1.0 / (1.0 + np.exp(-z))
def softmax(z):
# Avoid numerical overflow by removing max
e = np.exp(z - np.amax(z, axis=1, keepdims=True))
return e / np.sum(e, axis=1, keepdims=True)
def linear(z):
return z
def softplus(z):
"""Smooth relu."""
# Avoid numerical overflow, see:
# https://docs.scipy.org/doc/numpy/reference/generated/numpy.logaddexp.html
return np.logaddexp(0.0, z)
def softsign(z):
return z / (1 + np.abs(z))
def tanh(z):
return np.tanh(z)
def relu(z):
return np.maximum(0, z)
def leakyrelu(z, a=0.01):
return np.maximum(z * a, z)
def gelu(z):
"""
Gaussian Error Linear Unit (GELU)
"""
# mainly used in transformers smoother version of relu
return 0.5 * z * (
1.0 + np.tanh(
np.sqrt(2.0 / np.pi) * (z + 0.044715 * np.power(z, 3))
)
)
def get_activation(name):
"""Return activation function by name"""
try:
return globals()[name]
except Exception:
raise ValueError("Invalid activation function.")