Developer Guide

Contents

Softmax

Softmax function is defined as:
for
j
= 1, ...,
p.
Softmax function is also known as the normalized exponential (see [ Bishop2006 ] for exact definitions).

Problem Statement

Given
n
feature vectors
x
1
= (
x
11
, … ,
x
1
p
), ... ,
x
n
= (
x
n
1
, … ,
x
np
) of dimension
p
, the problem is to compute the (
n
x
p
)-dimensional matrix
Y =
(
y
i j
)
n
x
p
such that:
The library supports the numerically stable version of the softmax function:

Product and Performance Information

1

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Notice revision #20110804