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org.nd4j.linalg.lossfunctions.impl.LossMCXENT Maven / Gradle / Ivy
package org.nd4j.linalg.lossfunctions.impl;
import lombok.EqualsAndHashCode;
import lombok.Getter;
import org.apache.commons.math3.util.Pair;
import org.nd4j.linalg.activations.IActivation;
import org.nd4j.linalg.activations.impl.ActivationSoftmax;
import org.nd4j.linalg.api.ndarray.INDArray;
import org.nd4j.linalg.api.ops.impl.transforms.LogSoftMax;
import org.nd4j.linalg.factory.Nd4j;
import org.nd4j.linalg.lossfunctions.ILossFunction;
import org.nd4j.linalg.lossfunctions.serde.RowVectorDeserializer;
import org.nd4j.linalg.lossfunctions.serde.RowVectorSerializer;
import org.nd4j.linalg.ops.transforms.Transforms;
import org.nd4j.shade.jackson.annotation.JsonInclude;
import org.nd4j.shade.jackson.databind.annotation.JsonDeserialize;
import org.nd4j.shade.jackson.databind.annotation.JsonSerialize;
/**
*
* Multi-Class Cross Entropy loss function:
* L = sum_i actual_i * log( predicted_i )
*
* @author Alex Black, Susan Eraly
* @see LossNegativeLogLikelihood
*/
@EqualsAndHashCode
@JsonInclude(JsonInclude.Include.NON_NULL)
@Getter
public class LossMCXENT implements ILossFunction {
@JsonSerialize(using = RowVectorSerializer.class)
@JsonDeserialize(using = RowVectorDeserializer.class)
private final INDArray weights;
public LossMCXENT() {
this(null);
}
/**
* Multi-Class Cross Entropy loss function where each the output is (optionally) weighted/scaled by a fixed scalar value.
* Note that the weights array must be a row vector, of length equal to the labels/output dimension 1 size.
* A weight vector of 1s should give identical results to no weight vector.
*
* @param weights Weights array (row vector). May be null.
*/
public LossMCXENT(INDArray weights) {
if (weights != null && !weights.isRowVector()) {
throw new IllegalArgumentException("Weights array must be a row vector");
}
this.weights = weights;
}
private INDArray scoreArray(INDArray labels, INDArray preOutput, IActivation activationFn, INDArray mask) {
INDArray scoreArr;
//if ("softmax".equals(activationFn)) {
if (activationFn instanceof ActivationSoftmax) {
//Use LogSoftMax op to avoid numerical issues when calculating score
INDArray logsoftmax = Nd4j.getExecutioner().execAndReturn(new LogSoftMax(preOutput.dup()));
scoreArr = logsoftmax.muli(labels);
} else {
//INDArray output = Nd4j.getExecutioner().execAndReturn(Nd4j.getOpFactory().createTransform(activationFn, preOutput.dup()));
INDArray output = activationFn.getActivation(preOutput.dup(),true);
scoreArr = Transforms.log(output, false).muli(labels);
}
//Weighted loss function
if (weights != null) {
if (weights.length() != scoreArr.size(1)) {
throw new IllegalStateException("Weights vector (length " + weights.length() + ") does not match output.size(1)=" + preOutput.size(1));
}
scoreArr.muliRowVector(weights);
}
if (mask != null) {
scoreArr.muliColumnVector(mask);
}
return scoreArr;
}
@Override
public double computeScore(INDArray labels, INDArray preOutput, IActivation activationFn, INDArray mask, boolean average) {
INDArray scoreArr = scoreArray(labels, preOutput, activationFn, mask);
double score = -scoreArr.sumNumber().doubleValue();
if (average) {
score /= scoreArr.size(0);
}
return score;
}
@Override
public INDArray computeScoreArray(INDArray labels, INDArray preOutput, IActivation activationFn, INDArray mask) {
INDArray scoreArr = scoreArray(labels, preOutput, activationFn, mask);
return scoreArr.sum(1).muli(-1);
}
@Override
public INDArray computeGradient(INDArray labels, INDArray preOutput, IActivation activationFn, INDArray mask) {
INDArray grad;
//INDArray output = Nd4j.getExecutioner().execAndReturn(Nd4j.getOpFactory().createTransform(activationFn, preOutput.dup()));
INDArray output = activationFn.getActivation(preOutput.dup(),true);
if (activationFn instanceof ActivationSoftmax) {
//Weighted loss function
if (weights != null) {
if (weights.length() != output.size(1)) {
throw new IllegalStateException("Weights vector (length " + weights.length() + ") does not match output.size(1)=" + output.size(1));
}
INDArray temp = labels.mulRowVector(weights);
INDArray col = temp.sum(1);
grad = output.mulColumnVector(col).sub(temp);
} else {
grad = output.subi(labels);
}
} else {
//INDArray sigmaPrimeZ = Nd4j.getExecutioner().execAndReturn(Nd4j.getOpFactory().createTransform(activationFn, preOutput.dup()).derivative());
INDArray dLda = output.rdivi(labels).negi();
grad = activationFn.backprop(preOutput, dLda).getFirst(); //TODO activation function with weights
//Weighted loss function
if (weights != null) {
if (weights.length() != output.size(1)) {
throw new IllegalStateException("Weights vector (length " + weights.length() + ") does not match output.size(1)=" + output.size(1));
}
grad.muliRowVector(weights);
}
}
//Loss function with masking
if (mask != null) {
grad.muliColumnVector(mask);
}
return grad;
}
@Override
public Pair computeGradientAndScore(INDArray labels, INDArray preOutput, IActivation activationFn, INDArray mask, boolean average) {
//TODO: probably a more efficient way to do this...
return new Pair<>(
computeScore(labels, preOutput, activationFn, mask, average),
computeGradient(labels, preOutput, activationFn, mask));
}
@Override
public String toString() {
if (weights == null) return "LossMCXENT()";
return "LossMCXENT(weights=" + weights + ")";
}
}