I have array of targets values and list of components need to pick the best ratio of each or some of it that make the final return ratio is 100 % or less and meet the targets array with minimum cost in java
here is the code that i tried to solve the problem with and it work correctly as i need but take so long time and need some optimization
inputs
InputMaxRates[] --the max possible rate that the final solution can have from the ith protect
inputMinRates[] --the min possible rate that the final solution can have from the ith protect if it included
valuesMatrix[][] --array of the values inside 100% in the ith protect
targetsArray[] --the target values that the final box need to cover
costOfTheProdects[] --the cost of 100% if the ith protect
IsRequired[] --boolen array to tell if the ith protect must be in the final box
output
array with size of input protects number with the best ratio of each / some of the protects that meet the targets with minimum cost
output must be array with total of 100 or less and if no possible solution return array with -1
anyone can help please here is my code
import java.util.Arrays;
import java.util.Vector;
import javax.swing.JOptionPane;
import javax.swing.JTable;
public class AISolver {
double InputMaxRates[], inputMinRates[] , costOfTheProdects[];
double targetsArray[];
double[] bestRatios = null;
double[] bestValues = null;
boolean IsRequired[];
double minPriceCost = 1000000000;
int minPriceMet = -1;
double[][] valuesMatrix;
int numberOfTargets = 9;//number of vectors
int numberOfRows = 0;
public AISolver(double[] InputMaxRates, double[] inputMinRates, double[][] valuesMatrix,
double[] targetsArray, boolean IsRequired[], double[] costOfTheProdects) {
this.InputMaxRates = InputMaxRates;
this.inputMinRates = inputMinRates;
this.valuesMatrix = valuesMatrix;
this.targetsArray = targetsArray;
this.costOfTheProdects = costOfTheProdects;
this.IsRequired = IsRequired;
numberOfTargets = targetsArray.length;
numberOfRows = inputMinRates.length;
}
int hitflag = 0;
private void checkTheVictor(Vector<Double> v) {
double[] thisRatioValues = getTheNewValues(v);
double thisRatioCost = calcCostFromRates(v);
int checkmet = checkMeetTargets(thisRatioValues);
if (checkmet > 0 && checkmet >= minPriceMet) {
if (checkmet > minPriceMet) {
//JOptionPane.showMessageDialog(dataTable, "Meet -> " + minPriceMet);
minPriceCost = 1000000000;
}
minPriceMet = checkmet;
if (checkmet == numberOfTargets) {
// JOptionPane.showMessageDialog(dataTable, "Meet -> " + minPriceMet + " cost = " + thisRatioCost);
// if (hitflag == 0) {
// minPriceCost = 1000000000;
// }
if (minPriceCost > thisRatioCost) {
minPriceCost = thisRatioCost;
bestRatios = new double[numberOfRows];
for (int i = 0; i < bestRatios.length; i++) {
try {
bestRatios[i] = v.get(i);
} catch (Exception e) {
bestRatios[i] = 0;
}
}
bestValues = new double[numberOfTargets];
for (int i = 0; i < thisRatioValues.length; i++) {
bestValues[i] = thisRatioValues[i];
}
}
}
}
}
public double[] bestRatioFinder(Vector<Double> v) {
if ((v.size() == numberOfRows && getRatesVectorSum(v) <= 100) || getRatesVectorSum(v) >= 100) {
checkTheVictor(v);
} else if (inputMinRates[v.size()] == InputMaxRates[v.size()]) {
v.add(inputMinRates[v.size()]);
bestRatioFinder(v);
} else {
//leave the prodect option
if (IsRequired[v.size()] == false) {
v.add(0.0);
// new Thread(() -> {
// Vector<Double> vt = new Vector<>();
// for (Double tx : v) {
// vt.add(tx);
// }
// bestRatioFinder(v);
// }).start();
bestRatioFinder(v);
v.removeElementAt(v.size() - 1);
}
//contune
Double maxPossibleRate = Math.min(101 - getRatesVectorSum(v), InputMaxRates[v.size()] + 1);
for (Double i = inputMinRates[v.size()]; i < maxPossibleRate; i++) {
v.add(i);
//System.out.println(Arrays.toString(v.toArray()));
// new Thread(() -> {
// Vector<Double> vt = new Vector<>();
// for (Double tx : v) {
// vt.add(tx);
// }
// bestRatioFinder(v);
// }).start();
bestRatioFinder(v);
v.removeElementAt(v.size() - 1);
}
}
return bestRatios;
}
private int getRatesVectorSum(Vector<Double> v) {
int sum = 0;
for (int i = 0; i < v.size(); i++) {
Double el = v.elementAt(i);
sum += el;
}
return sum;
}
private double calcCostFromRates(Vector<Double> v) {
double sum = 0;
for (int i = 0; i < v.size(); i++) {
Double el = v.elementAt(i);
double cost = costOfTheProdects[i];
sum += el * cost;
}
return sum;
}
private double[] getTheNewValues(Vector<Double> v) {
//need to update
double[] gvalus = new double[numberOfTargets];
for (int rowCounter = 0; rowCounter < v.size(); rowCounter++) {
Double el = v.elementAt(rowCounter);
for (int colCounter = 0; colCounter < numberOfTargets; colCounter++) {
Double cItemRatio = el;
double theCourntValueOfTheItem = valuesMatrix[rowCounter][colCounter];
double theValueToAdd = cItemRatio * theCourntValueOfTheItem / 100;
gvalus[colCounter] += theValueToAdd;
}
}
return gvalus;
}
private int checkMeetTargets(double[] ratvals) {
int met = 0;
for (int i = 0; i < ratvals.length; i++) {
if (ratvals[i] >= targetsArray[i]) {
met++;
}
}
return met;
}
}
I'm trying to implement a neural network with:
5 input nodes(+1 bias)
1 hidden layer of 1 hidden node(+1 bias)
1 output unit.
The training data I'm using is the a disjunction of 5 input units. The Overall Error is oscillating instead of decreasing and reaching very high numbers.
package neuralnetworks;
import java.io.File;
import java.io.FileNotFoundException;
import java.math.*;
import java.util.Random;
import java.util.Scanner;
public class NeuralNetworks {
private double[] weightslayer1;
private double[] weightslayer2;
private int[][] training;
public NeuralNetworks(int inputLayerSize, int weights1, int weights2) {
weightslayer1 = new double[weights1];
weightslayer2 = new double[weights2];
}
public static int[][] readCSV() {
Scanner readfile = null;
try {
readfile = new Scanner(new File("disjunction.csv"));
} catch (FileNotFoundException e) {
// TODO Auto-generated catch block
e.printStackTrace();
}
Scanner delimit;
int[][] train = new int[32][6];
int lines = 0;
while (readfile.hasNext()) {
String line = readfile.nextLine();
delimit = new Scanner(line);
delimit.useDelimiter(",");
int features = 0;
while (delimit.hasNext() && lines > 0) {
train[lines - 1][features] = Integer.parseInt(delimit.next());
features++;
}
lines++;
}
return train;
}
public double linearcomb(double[] input, double[] weights) { //calculates the sum of the multiplication of weights and inputs
double sigma = 0;
for (int i = 0; i < input.length; i++) {
sigma += (input[i] * weights[i]);
}
return sigma;
}
public double hiddenLayerOutput(int[] inputs) { //calculates the output of the hiddenlayer
double[] formattedInput = new double[6]; //adds the bias unit
formattedInput[0] = 1;
for (int i = 1; i < formattedInput.length; i++)
formattedInput[i] = inputs[i - 1];
double hlOutput = linearcomb(formattedInput, weightslayer1);
return hlOutput;
}
public double feedForward(int[] inputs) { //calculates the output
double hlOutput = hiddenLayerOutput(inputs);
double[] olInput = new double[2];
olInput[0] = 1;
olInput[1] = hlOutput;
double output = linearcomb(olInput, weightslayer2);
return output;
}
public void backprop(double predoutput, double targetout, double hidout, double learningrate, int[] input) {
double outputdelta = predoutput * (1 - predoutput) * (targetout - predoutput);
double hiddendelta = hidout * (1 - hidout) * (outputdelta * weightslayer2[1]);
updateweights(learningrate, outputdelta, hiddendelta, input);
}
public void updateweights(double learningrate, double outputdelta, double hiddendelta, int[] input) {
for (int i = 0; i < weightslayer1.length; i++) {
double deltaw1 = learningrate * hiddendelta * input[i];
weightslayer1[i] += deltaw1;
}
for (int i = 0; i < weightslayer2.length; i++) {
double deltaw2 = learningrate * outputdelta * hiddenLayerOutput(input);
weightslayer2[i] += deltaw2;
}
}
public double test(int[] inputs) {
return feedForward(inputs);
}
public void train() {
double learningrate = 0.01;
double output;
double hiddenoutput;
double error = 100;
do {
error = 0;
for (int i = 0; i < training.length; i++) {
output = feedForward(training[i]);
error += (training[i][5] - output) * (training[i][5] - output) / 2;
hiddenoutput = hiddenLayerOutput(training[i]);
backprop(output, training[i][5], hiddenoutput, learningrate, training[i]);
}
//System.out.println(error);
}while(error>1);
}
public static void main(String[] args) {
NeuralNetworks nn = new NeuralNetworks(6, 6, 2);
Random rand = new Random();
nn.weightslayer2[0] = (rand.nextDouble() - 0.5);
nn.weightslayer2[1] = (rand.nextDouble() - 0.5);
for (int i = 0; i < nn.weightslayer1.length; i++)
nn.weightslayer1[i] = (rand.nextDouble() - 0.5);
nn.training = readCSV();
/*for (int i = 0; i < nn.training.length; i++) {
for (int j = 0; j < nn.training[i].length; j++)
System.out.print(nn.training[i][j] + ",");
System.out.println();
}*/
nn.train();
int[] testa = { 0, 0, 0, 0, 0 };
System.out.println(nn.test(testa));
}
}
I need to implement four static methods in a class named ArrayStatistics. Each of the four methods will calculate the mean, median, mode, and population standard deviation, respectively, of the values in the array.
This is my first time working with Java, and cannot figure out what should I do next. I was given some test values for, you guessed it, test out my program.
public class ArrayStatistics {
public static void main(String[] args) {
final int[] arr;
int[] testValues = new int[] { 10, 20, 30, 40 };
meanValue = a;
meadianValue = b;
modeValue = c;
sqrtDevValue = d;
average = (sum / count);
System.out.println("Average is " );
}
static double[] mean(int[] data) {
for(int x = 1; x <=counter; x++) {
input = NumScanner.nextInt();
sum = sum + inputNum;
System.out.println();
}
return a;
}
static double[] median(int[] data) {
// ...
}
public double getMedian(double[] numberList) {
int factor = numberList.length - 1;
double[] first = new double[(double) factor / 2];
double[] last = new double[first.length];
double[] middleNumbers = new double[1];
for (int i = 0; i < first.length; i++) {
first[i] = numbersList[i];
}
for (int i = numberList.length; i > last.length; i--) {
last[i] = numbersList[i];
}
for (int i = 0; i <= numberList.length; i++) {
if (numberList[i] != first[i] || numberList[i] != last[i]) middleNumbers[i] = numberList[i];
}
if (numberList.length % 2 == 0) {
double total = middleNumbers[0] + middleNumbers[1];
return total / 2;
} else {
return b;
}
}
static double[] mode(int[] data) {
public double getMode(double[] numberList) {
HashMap<Double,Double> freqs = new HashMap<Double,Double>();
for (double d: numberList) {
Double freq = freqs.get(d);
freqs.put(d, (freq == null ? 1 : freq + 1));
}
double mode = 0;
double maxFreq = 0;
for (Map.Entry<Double,Doubler> entry : freqs.entrySet()) {
double freq = entry.getValue();
if (freq > maxFreq) {
maxFreq = freq;
mode = entry.getKey();
}
}
return c;
}
static double[] sqrt(int[] sqrtDev) {
return d;
}
}
This is pretty easy.
public double mean(ArrayList list) {
double ans=0;
for(int i=0; i<list.size(); i++) {
ans+=list.get(i); }
return ans/list.size()
}
`
Median:
public void median(ArrayList list) {
if(list.size()%==2) return (list.get(list.size()/2)+list.get(list.size()+1))/2;
else return list.get((list.size()/2)+1)
}
For Mode, just a keep a tally on the frequency of each number occurrence, extremely easy.
For standard deviation find the mean and just use the formula given here: https://www.mathsisfun.com/data/standard-deviation-formulas.html
I'm trying to implement a feed-forward neural network in Java.
I've created three classes NNeuron, NLayer and NNetwork. The "simple" calculations seem fine (I get correct sums/activations/outputs), but when it comes to the training process, I don't seem to get correct results. Can anyone, please tell what I'm doing wrong ?
The whole code for the NNetwork class is quite long, so I'm posting the part that is causing the problem:
[EDIT]: this is actually pretty much all of the NNetwork class
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
public class NNetwork
{
public static final double defaultLearningRate = 0.4;
public static final double defaultMomentum = 0.8;
private NLayer inputLayer;
private ArrayList<NLayer> hiddenLayers;
private NLayer outputLayer;
private ArrayList<NLayer> layers;
private double momentum = NNetwork1.defaultMomentum; // alpha: momentum, default! 0.3
private ArrayList<Double> learningRates;
public NNetwork (int nInputs, int nOutputs, Integer... neuronsPerHiddenLayer)
{
this(nInputs, nOutputs, Arrays.asList(neuronsPerHiddenLayer));
}
public NNetwork (int nInputs, int nOutputs, List<Integer> neuronsPerHiddenLayer)
{
// the number of neurons on the last layer build so far (i.e. the number of inputs for each neuron of the next layer)
int prvOuts = 1;
this.layers = new ArrayList<>();
// input layer
this.inputLayer = new NLayer(nInputs, prvOuts, this);
this.inputLayer.setAllWeightsTo(1.0);
this.inputLayer.setAllBiasesTo(0.0);
this.inputLayer.useSigmaForOutput(false);
prvOuts = nInputs;
this.layers.add(this.inputLayer);
// hidden layers
this.hiddenLayers = new ArrayList<>();
for (int i=0 ; i<neuronsPerHiddenLayer.size() ; i++)
{
this.hiddenLayers.add(new NLayer(neuronsPerHiddenLayer.get(i), prvOuts, this));
prvOuts = neuronsPerHiddenLayer.get(i);
}
this.layers.addAll(this.hiddenLayers);
// output layer
this.outputLayer = new NLayer(nOutputs, prvOuts, this);
this.layers.add(this.outputLayer);
this.initCoeffs();
}
private void initCoeffs ()
{
this.learningRates = new ArrayList<>();
// learning rates of the hidden layers
for (int i=0 ; i<this.hiddenLayers.size(); i++)
this.learningRates.add(NNetwork1.defaultLearningRate);
// learning rate of the output layer
this.learningRates.add(NNetwork1.defaultLearningRate);
}
public double getLearningRate (int layerIndex)
{
if (layerIndex > 0 && layerIndex <= this.hiddenLayers.size()+1)
{
return this.learningRates.get(layerIndex-1);
}
else
{
return 0;
}
}
public ArrayList<Double> getLearningRates ()
{
return this.learningRates;
}
public void setLearningRate (int layerIndex, double newLearningRate)
{
if (layerIndex > 0 && layerIndex <= this.hiddenLayers.size()+1)
{
this.learningRates.set(
layerIndex-1,
newLearningRate);
}
}
public void setLearningRates (Double... newLearningRates)
{
this.setLearningRates(Arrays.asList(newLearningRates));
}
public void setLearningRates (List<Double> newLearningRates)
{
int len = (this.learningRates.size() <= newLearningRates.size())
? this.learningRates.size()
: newLearningRates.size();
for (int i=0; i<len; i++)
this.learningRates
.set(i,
newLearningRates.get(i));
}
public double getMomentum ()
{
return this.momentum;
}
public void setMomentum (double momentum)
{
this.momentum = momentum;
}
public NNeuron getNeuron (int layerIndex, int neuronIndex)
{
if (layerIndex == 0)
return this.inputLayer.getNeurons().get(neuronIndex);
else if (layerIndex == this.hiddenLayers.size()+1)
return this.outputLayer.getNeurons().get(neuronIndex);
else
return this.hiddenLayers.get(layerIndex-1).getNeurons().get(neuronIndex);
}
public ArrayList<Double> getOutput (ArrayList<Double> inputs)
{
ArrayList<Double> lastOuts = inputs; // the last computed outputs of the last 'called' layer so far
// input layer
//lastOuts = this.inputLayer.getOutput(lastOuts);
lastOuts = this.getInputLayerOutputs(lastOuts);
// hidden layers
for (NLayer layer : this.hiddenLayers)
lastOuts = layer.getOutput(lastOuts);
// output layer
lastOuts = this.outputLayer.getOutput(lastOuts);
return lastOuts;
}
public ArrayList<ArrayList<Double>> getAllOutputs (ArrayList<Double> inputs)
{
ArrayList<ArrayList<Double>> outs = new ArrayList<>();
// input layer
outs.add(this.getInputLayerOutputs(inputs));
// hidden layers
for (NLayer layer : this.hiddenLayers)
outs.add(layer.getOutput(outs.get(outs.size()-1)));
// output layer
outs.add(this.outputLayer.getOutput(outs.get(outs.size()-1)));
return outs;
}
public ArrayList<ArrayList<Double>> getAllSums (ArrayList<Double> inputs)
{
//*
ArrayList<ArrayList<Double>> sums = new ArrayList<>();
ArrayList<Double> lastOut;
// input layer
sums.add(inputs);
lastOut = this.getInputLayerOutputs(inputs);
// hidden nodes
for (NLayer layer : this.hiddenLayers)
{
sums.add(layer.getSums(lastOut));
lastOut = layer.getOutput(lastOut);
}
// output layer
sums.add(this.outputLayer.getSums(lastOut));
return sums;
}
public ArrayList<Double> getInputLayerOutputs (ArrayList<Double> inputs)
{
ArrayList<Double> outs = new ArrayList<>();
for (int i=0 ; i<this.inputLayer.getNeurons().size() ; i++)
outs.add(this
.inputLayer
.getNeuron(i)
.getOutput(inputs.get(i)));
return outs;
}
public void changeWeights (
ArrayList<ArrayList<Double>> deltaW,
ArrayList<ArrayList<Double>> inputSet,
ArrayList<ArrayList<Double>> targetSet,
boolean checkError)
{
for (int i=0 ; i<deltaW.size()-1 ; i++)
this.hiddenLayers.get(i).changeWeights(deltaW.get(i), inputSet, targetSet, checkError);
this.outputLayer.changeWeights(deltaW.get(deltaW.size()-1), inputSet, targetSet, checkError);
}
public int train2 (
ArrayList<ArrayList<Double>> inputSet,
ArrayList<ArrayList<Double>> targetSet,
double maxError,
int maxIterations)
{
ArrayList<Double>
input,
target;
ArrayList<ArrayList<ArrayList<Double>>> prvNetworkDeltaW = null;
double error;
int i = 0, j = 0, traininSetLength = inputSet.size();
do // during each itreration...
{
error = 0.0;
for (j = 0; j < traininSetLength; j++) // ... for each training element...
{
input = inputSet.get(j);
target = targetSet.get(j);
prvNetworkDeltaW = this.train2_bp(input, target, prvNetworkDeltaW); // ... do backpropagation, and return the new weight deltas
error += this.getInputMeanSquareError(input, target);
}
i++;
} while (error > maxError && i < maxIterations); // iterate as much as necessary/possible
return i;
}
public ArrayList<ArrayList<ArrayList<Double>>> train2_bp (
ArrayList<Double> input,
ArrayList<Double> target,
ArrayList<ArrayList<ArrayList<Double>>> prvNetworkDeltaW)
{
ArrayList<ArrayList<Double>> layerSums = this.getAllSums(input); // the sums for each layer
ArrayList<ArrayList<Double>> layerOutputs = this.getAllOutputs(input); // the outputs of each layer
// get the layer deltas (inc the input layer that is null)
ArrayList<ArrayList<Double>> layerDeltas = this.train2_getLayerDeltas(layerSums, layerOutputs, target);
// get the weight deltas
ArrayList<ArrayList<ArrayList<Double>>> networkDeltaW = this.train2_getWeightDeltas(layerOutputs, layerDeltas, prvNetworkDeltaW);
// change the weights
this.train2_updateWeights(networkDeltaW);
return networkDeltaW;
}
public void train2_updateWeights (ArrayList<ArrayList<ArrayList<Double>>> networkDeltaW)
{
for (int i=1; i<this.layers.size(); i++)
this.layers.get(i).train2_updateWeights(networkDeltaW.get(i));
}
public ArrayList<ArrayList<ArrayList<Double>>> train2_getWeightDeltas (
ArrayList<ArrayList<Double>> layerOutputs,
ArrayList<ArrayList<Double>> layerDeltas,
ArrayList<ArrayList<ArrayList<Double>>> prvNetworkDeltaW)
{
ArrayList<ArrayList<ArrayList<Double>>> networkDeltaW = new ArrayList<>(this.layers.size());
ArrayList<ArrayList<Double>> layerDeltaW;
ArrayList<Double> neuronDeltaW;
for (int i=0; i<this.layers.size(); i++)
networkDeltaW.add(new ArrayList<ArrayList<Double>>());
double
deltaW, x, learningRate, prvDeltaW, d;
int i, j, k;
for (i=this.layers.size()-1; i>0; i--) // for each layer
{
learningRate = this.getLearningRate(i);
layerDeltaW = new ArrayList<>();
networkDeltaW.set(i, layerDeltaW);
for (j=0; j<this.layers.get(i).getNeurons().size(); j++) // for each neuron of this layer
{
neuronDeltaW = new ArrayList<>();
layerDeltaW.add(neuronDeltaW);
for (k=0; k<this.layers.get(i-1).getNeurons().size(); k++) // for each weight (i.e. each neuron of the previous layer)
{
d = layerDeltas.get(i).get(j);
x = layerOutputs.get(i-1).get(k);
prvDeltaW = (prvNetworkDeltaW != null)
? prvNetworkDeltaW.get(i).get(j).get(k)
: 0.0;
deltaW = -learningRate * d * x + this.momentum * prvDeltaW;
neuronDeltaW.add(deltaW);
}
// the bias !!
d = layerDeltas.get(i).get(j);
x = 1;
prvDeltaW = (prvNetworkDeltaW != null)
? prvNetworkDeltaW.get(i).get(j).get(prvNetworkDeltaW.get(i).get(j).size()-1)
: 0.0;
deltaW = -learningRate * d * x + this.momentum * prvDeltaW;
neuronDeltaW.add(deltaW);
}
}
return networkDeltaW;
}
ArrayList<ArrayList<Double>> train2_getLayerDeltas (
ArrayList<ArrayList<Double>> layerSums,
ArrayList<ArrayList<Double>> layerOutputs,
ArrayList<Double> target)
{
// get ouput deltas
ArrayList<Double> outputDeltas = new ArrayList<>(); // the output layer deltas
double
oErr, // output error given a target
s, // sum
o, // output
d; // delta
int
nOutputs = target.size(), // #TODO ?== this.outputLayer.size()
nLayers = this.hiddenLayers.size()+2; // #TODO ?== layerOutputs.size()
for (int i=0; i<nOutputs; i++) // for each neuron...
{
s = layerSums.get(nLayers-1).get(i);
o = layerOutputs.get(nLayers-1).get(i);
oErr = (target.get(i) - o);
d = -oErr * this.getNeuron(nLayers-1, i).sigmaPrime(s); // #TODO "s" or "o" ??
outputDeltas.add(d);
}
// get hidden deltas
ArrayList<ArrayList<Double>> hiddenDeltas = new ArrayList<>();
for (int i=0; i<this.hiddenLayers.size(); i++)
hiddenDeltas.add(new ArrayList<Double>());
NLayer nextLayer = this.outputLayer;
ArrayList<Double> nextDeltas = outputDeltas;
int
h, k,
nHidden = this.hiddenLayers.size(),
nNeurons = this.hiddenLayers.get(nHidden-1).getNeurons().size();
double
wdSum = 0.0;
for (int i=nHidden-1; i>=0; i--) // for each hidden layer
{
hiddenDeltas.set(i, new ArrayList<Double>());
for (h=0; h<nNeurons; h++)
{
wdSum = 0.0;
for (k=0; k<nextLayer.getNeurons().size(); k++)
{
wdSum += nextLayer.getNeuron(k).getWeight(h) * nextDeltas.get(k);
}
s = layerSums.get(i+1).get(h);
d = this.getNeuron(i+1, h).sigmaPrime(s) * wdSum;
hiddenDeltas.get(i).add(d);
}
nextLayer = this.hiddenLayers.get(i);
nextDeltas = hiddenDeltas.get(i);
}
ArrayList<ArrayList<Double>> deltas = new ArrayList<>();
// input layer deltas: void
deltas.add(null);
// hidden layers deltas
deltas.addAll(hiddenDeltas);
// output layer deltas
deltas.add(outputDeltas);
return deltas;
}
public double getInputMeanSquareError (ArrayList<Double> input, ArrayList<Double> target)
{
double diff, mse=0.0;
ArrayList<Double> output = this.getOutput(input);
for (int i=0; i<target.size(); i++)
{
diff = target.get(i) - output.get(i);
mse += (diff * diff);
}
mse /= 2.0;
return mse;
}
}
Some methods' names (with their return values/types) are quite self-explanatory, like "this.getAllSums" that returns the sums (sum(x_i*w_i) for each neuron) of each layer, "this.getAllOutputs" that return the outputs (sigmoid(sum) for each neuron) of each layer and "this.getNeuron(i,j)" that returns the j'th neuron of the i'th layer.
Thank you in advance for your help :)
Here is a very simple java implementation with tests in the main method :
import java.util.Arrays;
import java.util.Random;
public class MLP {
public static class MLPLayer {
float[] output;
float[] input;
float[] weights;
float[] dweights;
boolean isSigmoid = true;
public MLPLayer(int inputSize, int outputSize, Random r) {
output = new float[outputSize];
input = new float[inputSize + 1];
weights = new float[(1 + inputSize) * outputSize];
dweights = new float[weights.length];
initWeights(r);
}
public void setIsSigmoid(boolean isSigmoid) {
this.isSigmoid = isSigmoid;
}
public void initWeights(Random r) {
for (int i = 0; i < weights.length; i++) {
weights[i] = (r.nextFloat() - 0.5f) * 4f;
}
}
public float[] run(float[] in) {
System.arraycopy(in, 0, input, 0, in.length);
input[input.length - 1] = 1;
int offs = 0;
Arrays.fill(output, 0);
for (int i = 0; i < output.length; i++) {
for (int j = 0; j < input.length; j++) {
output[i] += weights[offs + j] * input[j];
}
if (isSigmoid) {
output[i] = (float) (1 / (1 + Math.exp(-output[i])));
}
offs += input.length;
}
return Arrays.copyOf(output, output.length);
}
public float[] train(float[] error, float learningRate, float momentum) {
int offs = 0;
float[] nextError = new float[input.length];
for (int i = 0; i < output.length; i++) {
float d = error[i];
if (isSigmoid) {
d *= output[i] * (1 - output[i]);
}
for (int j = 0; j < input.length; j++) {
int idx = offs + j;
nextError[j] += weights[idx] * d;
float dw = input[j] * d * learningRate;
weights[idx] += dweights[idx] * momentum + dw;
dweights[idx] = dw;
}
offs += input.length;
}
return nextError;
}
}
MLPLayer[] layers;
public MLP(int inputSize, int[] layersSize) {
layers = new MLPLayer[layersSize.length];
Random r = new Random(1234);
for (int i = 0; i < layersSize.length; i++) {
int inSize = i == 0 ? inputSize : layersSize[i - 1];
layers[i] = new MLPLayer(inSize, layersSize[i], r);
}
}
public MLPLayer getLayer(int idx) {
return layers[idx];
}
public float[] run(float[] input) {
float[] actIn = input;
for (int i = 0; i < layers.length; i++) {
actIn = layers[i].run(actIn);
}
return actIn;
}
public void train(float[] input, float[] targetOutput, float learningRate, float momentum) {
float[] calcOut = run(input);
float[] error = new float[calcOut.length];
for (int i = 0; i < error.length; i++) {
error[i] = targetOutput[i] - calcOut[i]; // negative error
}
for (int i = layers.length - 1; i >= 0; i--) {
error = layers[i].train(error, learningRate, momentum);
}
}
public static void main(String[] args) throws Exception {
float[][] train = new float[][]{new float[]{0, 0}, new float[]{0, 1}, new float[]{1, 0}, new float[]{1, 1}};
float[][] res = new float[][]{new float[]{0}, new float[]{1}, new float[]{1}, new float[]{0}};
MLP mlp = new MLP(2, new int[]{2, 1});
mlp.getLayer(1).setIsSigmoid(false);
Random r = new Random();
int en = 500;
for (int e = 0; e < en; e++) {
for (int i = 0; i < res.length; i++) {
int idx = r.nextInt(res.length);
mlp.train(train[idx], res[idx], 0.3f, 0.6f);
}
if ((e + 1) % 100 == 0) {
System.out.println();
for (int i = 0; i < res.length; i++) {
float[] t = train[i];
System.out.printf("%d epoch\n", e + 1);
System.out.printf("%.1f, %.1f --> %.3f\n", t[0], t[1], mlp.run(t)[0]);
}
}
}
}
}
I tried going over your code, but as you stated, it was pretty long.
Here's what I suggest:
To verify that your network is learning properly, try to train a simple network, like a network that recognizes the XOR operator. This shouldn't take all that long.
Use the simplest back-propagation algorithm. Stochastic backpropagation (where the weights are updated after the presentation of each training input) is the easiest. Implement the algorithm without the momentum term initially, and with a constant learning rate (i.e., don't start with adaptive learning-rates). Once you're satisfied that the algorithm is working, you can introduce the momentum term. Doing too many things at the same time increases the chances that more than one thing can go wrong. This makes it harder for you to see where you went wrong.
If you want to go over some code, you can check out some code that I wrote; you want to look at Backpropagator.java. I've basically implemented the stochastic backpropagation algorithm with a momentum term. I also have a video where I provide a quick explanation of my implementation of the backpropagation algorithm.
Hopefully this is of some help!
I have some problems with getting inheritance to work. In the parent class, the array Coefficients is private. I have some access methods but I still can't get it to work.
import java.util.ArrayList;
public class Poly {
private float[] coefficients;
public static void main (String[] args){
float[] fa = {3, 2, 4};
Poly test = new Poly(fa);
}
public Poly() {
coefficients = new float[1];
coefficients[0] = 0;
}
public Poly(int degree) {
coefficients = new float[degree+1];
for (int i = 0; i <= degree; i++)
coefficients[i] = 0;
}
public Poly(float[] a) {
coefficients = new float[a.length];
for (int i = 0; i < a.length; i++)
coefficients[i] = a[i];
}
public int getDegree() {
return coefficients.length-1;
}
public float getCoefficient(int i) {
return coefficients[i];
}
public void setCoefficient(int i, float value) {
coefficients[i] = value;
}
public Poly add(Poly p) {
int n = getDegree();
int m = p.getDegree();
Poly result = new Poly(Poly.max(n, m));
int i;
for (i = 0; i <= Poly.min(n, m); i++)
result.setCoefficient(i, coefficients[i] + p.getCoefficient(i));
if (i <= n) {
//we have to copy the remaining coefficients from this object
for ( ; i <= n; i++)
result.setCoefficient(i, coefficients[i]);
} else {
// we have to copy the remaining coefficients from p
for ( ; i <= m; i++)
result.setCoefficient(i, p.getCoefficient(i));
}
return result;
}
public void displayPoly () {
for (int i=0; i < coefficients.length; i++)
System.out.print(" "+coefficients[i]);
System.out.println();
}
private static int max (int n, int m) {
if (n > m)
return n;
return m;
}
private static int min (int n, int m) {
if (n > m)
return m;
return n;
}
public Poly multiplyCon (double c){
int n = getDegree();
Poly results = new Poly(n);
for (int i =0; i <= n; i++){ // can work when multiplying only 1 coefficient
results.setCoefficient(i, (float)(coefficients[i] * c)); // errors ArrayIndexOutOfBounds for setCoefficient
}
return results;
}
public Poly multiplyPoly (Poly p){
int n = getDegree();
int m = p.getDegree();
Poly result = null;
for (int i = 0; i <= n; i++){
Poly tmpResult = p.multiByConstantWithDegree(coefficients[i], i); //Calls new method
if (result == null){
result = tmpResult;
} else {
result = result.add(tmpResult);
}
}
return result;
}
public void leadingZero() {
int degree = getDegree();
if ( degree == 0 ) return;
if ( coefficients[degree] != 0 ) return;
// find the last highest degree with non-zero cofficient
int highestDegree = degree;
for ( int i = degree; i <= 0; i--) {
if ( coefficients[i] == 0 ) {
highestDegree = i -1;
} else {
// if the value is non-zero
break;
}
}
float[] newCoefficients = new float[highestDegree + 1];
for ( int i=0; i<= highestDegree; i++ ) {
newCoefficients[i] = coefficients[i];
}
coefficients = newCoefficients;
}
public Poly differentiate(){
int n = getDegree();
Poly newResult = new Poly(n);
if (n>0){ //checking if it has a degree
for (int i = 1; i<= n; i++){
newResult.coefficients[i-1]= coefficients[i] * (i); // shift degree by 1 and multiplies
}
return newResult;
} else {
return new Poly(); //empty
}
}
public Poly multiByConstantWithDegree(double c, int degree){ //used specifically for multiply poly
int oldPolyDegree = this.getDegree();
int newPolyDegree = oldPolyDegree + degree;
Poly newResult = new Poly(newPolyDegree);
//set all coeff to zero
for (int i = 0; i<= newPolyDegree; i++){
newResult.coefficients[i] = 0;
}
//shift by n degree
for (int j = 0; j <= oldPolyDegree; j++){
newResult.coefficients[j+degree] = coefficients[j] * (float)c;
}
return newResult;
}
}
Can anyone help me fix my Second class that inherits from the one above? I cant seem to get my multiply and add methods for the second class to work properly.
public class QuadPoly extends Poly
{
private float [] quadcoefficients;
public QuadPoly() {
super(2);
}
public QuadPoly(int degree) {
super(2);
}
public QuadPoly(float [] f) {
super(f);
if (getDegree() > 2){
throw new IllegalArgumentException ("Must be Quadratic");
}
}
public QuadPoly(Poly p){
super(p.coefficients);
for (int i = 0; i < coefficients.length; i++){
if (coefficients[i] < 0){
throw new Exception("Expecting positive coefficients!");
}
}
}
// public QuadPoly(Poly p){
// super(p.coefficients);
//}
public QuadPoly addQuad (QuadPoly p){
return new QuadPoly(super.add(p));
}
public QuadPoly multiplyQuadPoly (QuadPoly f){
if (quadcoefficients.length > 2){
throw new IllegalArgumentException ("Must be Quadratic");
}
return new QuadPoly(super.multiplyPoly(f));
}
I would make the coefficients protected or use an accessor method.
I wouldn't throw a plain checked Exception. An IllegalArgumentException would be a better choice.
What is quadcoefficients? They don't appear to be set anywhere.
You put coefficients private. I wouldn't change this but I would add a getter method into Poly class:
public class Poly {
//somecode here
public float[] getCoefficients(){
return this.coefficients;
}
}
Then I would use it by the getter method in other code;
public QuadPoly(Poly p){
super(p.getCoefficients);
//some more code here
}
Even if you make coefficient protected, you are trying to reach coefficients field of another Object, which is a parameter. So it is not related to inheritance and the problem.