// Copyright Yahoo. Licensed under the terms of the Apache 2.0 license. See LICENSE in the project root. package com.yahoo.tensor.functions; import com.yahoo.tensor.evaluation.EvaluationContext; import com.yahoo.tensor.evaluation.Name; import com.yahoo.tensor.evaluation.TypeContext; import com.yahoo.tensor.Tensor; import com.yahoo.tensor.TensorType; import com.yahoo.tensor.TensorType.Dimension; import java.util.Collections; import java.util.List; import java.util.Objects; /** * Convenience for cosine similarity between vectors. * cosine_similarity(a, b, mydim) == sum(a*b, mydim) / sqrt(sum(a*a, mydim) * sum(b*b, mydim)) * @author arnej */ public class CosineSimilarity extends TensorFunction { private final TensorFunction arg1; private final TensorFunction arg2; private final String dimension; public CosineSimilarity(TensorFunction argument1, TensorFunction argument2, String dimension) { this.arg1 = argument1; this.arg2 = argument2; this.dimension = dimension; } @Override public List> arguments() { return List.of(arg1, arg2); } @Override public TensorFunction withArguments(List> arguments) { if ( arguments.size() != 2) throw new IllegalArgumentException("CosineSimilarity must have 2 arguments, got " + arguments.size()); return new CosineSimilarity<>(arguments.get(0), arguments.get(1), dimension); } @Override public TensorType type(TypeContext context) { TensorType t1 = arg1.toPrimitive().type(context); TensorType t2 = arg2.toPrimitive().type(context); var d1 = t1.dimension(dimension); var d2 = t2.dimension(dimension); if (d1.isEmpty() || d2.isEmpty() || d1.get().type() != Dimension.Type.indexedBound || d2.get().type() != Dimension.Type.indexedBound || d1.get().size().get() != d2.get().size().get()) { throw new IllegalArgumentException("cosine_similarity expects both arguments to have the '" + dimension + "' dimension with same size, but input types were " + t1 + " and " + t2); } // Finds the type this produces by first converting it to a primitive function return toPrimitive().type(context); } /** Evaluates this by first converting it to a primitive function */ @Override public Tensor evaluate(EvaluationContext context) { return toPrimitive().evaluate(context); } @Override public PrimitiveTensorFunction toPrimitive() { TensorFunction a = arg1.toPrimitive(); TensorFunction b = arg2.toPrimitive(); var aa = new Join<>(a, a, ScalarFunctions.multiply()); var ab = new Join<>(a, b, ScalarFunctions.multiply()); var bb = new Join<>(b, b, ScalarFunctions.multiply()); var dot_aa = new Reduce<>(aa, Reduce.Aggregator.sum, dimension); var dot_ab = new Reduce<>(ab, Reduce.Aggregator.sum, dimension); var dot_bb = new Reduce<>(bb, Reduce.Aggregator.sum, dimension); var aabb = new Join<>(dot_aa, dot_bb, ScalarFunctions.multiply()); var sqrt_aabb = new Map<>(aabb, ScalarFunctions.sqrt()); return new Join<>(dot_ab, sqrt_aabb, ScalarFunctions.divide()); } @Override public String toString(ToStringContext context) { return "cosine_similarity(" + arg1.toString(context) + ", " + arg2.toString(context) + ", " + dimension + ")"; } @Override public int hashCode() { return Objects.hash("cosine_similarity", arg1, arg2, dimension); } }