神经网络算法与实现（基于java）示例代码

/* * To change this license header, choose License Headers in Project Properties. * To change this template file, choose Tools | Templates * and open the template in the editor. */ package edu.packt.neuralnet.util; import java.util.HashSet; import java.util.Set; /** * * @author Administrador */ public class Matrix { private double[][] content; private int numberOfRows; private int numberOfColumns; private Double determinant; public Matrix(int nRows,int nColumns){ numberOfRows=nRows; numberOfColumns=nColumns; content = new double[numberOfRows][numberOfColumns]; } public Matrix(double[][] matrix){ numberOfRows = matrix.length; numberOfColumns = matrix[0].length; content = matrix; } public Matrix(double[] vector){ numberOfRows = 1; numberOfColumns = vector.length; content = new double[numberOfRows][numberOfColumns]; content[0]=vector; } public Matrix(Matrix a){ numberOfRows=a.getNumberOfRows(); numberOfColumns=a.getNumberOfColumns(); content = new double[numberOfRows][numberOfColumns]; for(int i=0;i<numberOfRows;i++){ for(int j=0;j<numberOfColumns;j++){ setValue(i,j,a.getValue(i,j)); } } } public Matrix add(Matrix a){ int nRows = a.getNumberOfRows(); int nColumns = a.getNumberOfColumns(); if(numberOfRows!=a.getNumberOfRows()) throw new IllegalArgumentException("Number of rows of both matrices must match"); if(numberOfColumns!=a.getNumberOfColumns()) throw new IllegalArgumentException("Number of colmns of both matrices must match"); Matrix result = new Matrix(nRows,nColumns); for(int i=0;i<nRows;i++){ for(int j=0;j<nColumns;j++){ result.setValue(i, j, getValue(i,j)+a.getValue(i, j)); } } return result; } public static Matrix add(Matrix a,Matrix b){ int nRows = a.getNumberOfRows(); int nColumns = a.getNumberOfColumns(); if(a.numberOfRows!=b.getNumberOfRows()) throw new IllegalArgumentException("Number of rows of both matrices must match"); if(a.numberOfColumns!=b.getNumberOfColumns()) throw new IllegalArgumentException("Number of colmns of both matrices must match"); Matrix result = new Matrix(nRows,nColumns); for(int i=0;i<nRows;i++){ for(int j=0;j<nColumns;j++){ result.setValue(i, j, a.getValue(i,j)+b.getValue(i, j)); } } return result; } public Matrix subtract(Matrix a){ int nRows = a.getNumberOfRows(); int nColumns = a.getNumberOfColumns(); if(numberOfRows!=a.getNumberOfRows()) throw new IllegalArgumentException("Number of rows of both matrices must match"); if(numberOfColumns!=a.getNumberOfColumns()) throw new IllegalArgumentException("Number of colmns of both matrices must match"); Matrix result = new Matrix(nRows,nColumns); for(int i=0;i<nRows;i++){ for(int j=0;j<nColumns;j++){ result.setValue(i, j, getValue(i,j)-a.getValue(i, j)); } } return result; } public static Matrix subtract(Matrix a,Matrix b){ int nRows = a.getNumberOfRows(); int nColumns = a.getNumberOfColumns(); if(a.numberOfRows!=b.getNumberOfRows()) throw new IllegalArgumentException("Number of rows of both matrices must match"); if(a.numberOfColumns!=b.getNumberOfColumns()) throw new IllegalArgumentException("Number of colmns of both matrices must match"); Matrix result = new Matrix(nRows,nColumns); for(int i=0;i<nRows;i++){ for(int j=0;j<nColumns;j++){ result.setValue(i, j, a.getValue(i,j)-b.getValue(i, j)); } } return result; } public Matrix transpose(){ Matrix result = new Matrix(numberOfColumns,numberOfRows); for(int i=0;i<numberOfRows;i++){ for(int j=0;j<numberOfColumns;j++){ result.setValue(j, i, getValue(i,j)); } } return result; } public static Matrix transpose(Matrix a){ Matrix result = new Matrix(a.getNumberOfColumns(),a.getNumberOfRows()); for(int i=0;i<a.getNumberOfRows();i++){ for(int j=0;j<a.getNumberOfColumns();j++){ result.setValue(j, i, a.getValue(i,j)); } } return result; } public Matrix multiply(Matrix a){ Matrix result = new Matrix(getNumberOfRows(),a.getNumberOfColumns()); if(getNumberOfColumns()!=a.getNumberOfRows()) throw new IllegalArgumentException("Number of Columns of first Matrix must match the number of Rows of second Matrix"); for(int i=0;i<getNumberOfRows();i++){ for(int j=0;j<a.getNumberOfColumns();j++){ double value = 0; for(int k=0;k<a.getNumberOfRows();k++){ value+=getValue(i,k)*a.getValue(k,j); } result.setValue(i, j, value); } } return result; } public Matrix multiply(double a){ Matrix result = new Matrix(getNumberOfRows(),getNumberOfColumns()); for(int i=0;i<getNumberOfRows();i++){ for(int j=0;j<getNumberOfColumns();j++){ result.setValue(i, j, getValue(i,j)*a); } } return result; } public static Matrix multiply(Matrix a,Matrix b){ Matrix result = new Matrix(a.getNumberOfRows(),b.getNumberOfColumns()); if(a.getNumberOfColumns()!=b.getNumberOfRows()) throw new IllegalArgumentException("Number of Columns of first Matrix must match the number of Rows of second Matrix"); for(int i=0;i<a.getNumberOfRows();i++){ for(int j=0;j<b.getNumberOfColumns();j++){ double value = 0; for(int k=0;k<b.getNumberOfRows();k++){ value+=a.getValue(i,k)*b.getValue(k,j); } result.setValue(i, j, value); } } return result; } public static Matrix multiply(Matrix a, double b){ Matrix result = new Matrix(a.getNumberOfRows(),a.getNumberOfColumns()); for(int i=0;i<a.getNumberOfRows();i++){ for(int j=0;j<a.getNumberOfColumns();j++){ result.setValue(i, j, a.getValue(i,j)*b); } } return result; } public Matrix[] LUdecomposition(){ Matrix[] result = new Matrix[2]; Matrix LU = new Matrix(this); Matrix L = new Matrix(LU.getNumberOfRows(),LU.getNumberOfColumns()); L.setZeros(); L.setValue(0,0,1.0); for(int i=1;i<LU.getNumberOfRows();i++){ L.setValue(i,i,1.0); for(int j=0;j<i;j++){ double multiplier = -LU.getValue(i, j)/LU.getValue(j, j); LU.sumRowByRow(i, j, multiplier); L.setValue(i, j, -multiplier); } } Matrix U = new Matrix(LU); result[0]=L; result[1]=U; return result; } public void multiplyRow(int row, double multiplier){ if(row>getNumberOfRows()) throw ne