Package com.github.neuralnetworks.test

Source Code of com.github.neuralnetworks.test.CNNTest

package com.github.neuralnetworks.test;

import static org.junit.Assert.assertEquals;
import static org.junit.Assert.assertTrue;

import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;
import java.util.Set;

import org.junit.Test;

import com.amd.aparapi.Kernel.EXECUTION_MODE;
import com.github.neuralnetworks.architecture.Connections;
import com.github.neuralnetworks.architecture.Conv2DConnection;
import com.github.neuralnetworks.architecture.FullyConnected;
import com.github.neuralnetworks.architecture.GraphConnections;
import com.github.neuralnetworks.architecture.Layer;
import com.github.neuralnetworks.architecture.NeuralNetworkImpl;
import com.github.neuralnetworks.architecture.Subsampling2DConnection;
import com.github.neuralnetworks.architecture.types.NNFactory;
import com.github.neuralnetworks.calculation.ConnectionCalculator;
import com.github.neuralnetworks.calculation.LayerCalculatorImpl;
import com.github.neuralnetworks.calculation.ValuesProvider;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiAveragePooling2D;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiConv2D;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiConv2DFF;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiMaxPooling2D;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiSigmoid;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiStochasticPooling2D;
import com.github.neuralnetworks.calculation.neuronfunctions.AparapiSubsampling2D;
import com.github.neuralnetworks.calculation.neuronfunctions.ConnectionCalculatorConv;
import com.github.neuralnetworks.calculation.neuronfunctions.ConnectionCalculatorFullyConnected;
import com.github.neuralnetworks.input.MultipleNeuronsOutputError;
import com.github.neuralnetworks.training.TrainerFactory;
import com.github.neuralnetworks.training.backpropagation.BackPropagationConv2D;
import com.github.neuralnetworks.training.backpropagation.BackPropagationConv2DSigmoid;
import com.github.neuralnetworks.training.backpropagation.BackPropagationLayerCalculatorImpl;
import com.github.neuralnetworks.training.backpropagation.BackPropagationSigmoid;
import com.github.neuralnetworks.training.backpropagation.BackPropagationTrainer;
import com.github.neuralnetworks.training.backpropagation.BackpropagationAveragePooling2D;
import com.github.neuralnetworks.training.backpropagation.BackpropagationMaxPooling2D;
import com.github.neuralnetworks.util.Environment;
import com.github.neuralnetworks.util.Matrix;
import com.github.neuralnetworks.util.Util;

/**
* Tests for convolutional networks
*/
public class CNNTest {

    @Test
    public void testDimensions() {
  // convolution dimensions
  Conv2DConnection conv = new Conv2DConnection(new Layer(), new Layer(), 4, 4, 3, 2, 2, 2, 1);

  assertEquals(3, conv.getOutputFeatureMapColumns(), 0);
  assertEquals(3, conv.getOutputFeatureMapRows(), 0);
  assertEquals(2, conv.getOutputFilters(), 0);

  // subsampling dimensions
  Subsampling2DConnection sub = new Subsampling2DConnection(new Layer(), new Layer(), 5, 5, 2, 2, 3);

  assertEquals(2, sub.getOutputFeatureMapColumns(), 0);
  assertEquals(2, sub.getOutputFeatureMapRows(), 0);
  assertEquals(3, sub.getFilters(), 0);
    }

    @Test
    public void testCNNConstruction() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 32, 32, 1 }, { 5, 5, 6, 1 }, { 2, 2 }, { 5, 5, 16, 1 }, { 2, 2 }, { 5, 5, 120, 1 }, {84}, {10} }, true);
  assertEquals(13, nn.getLayers().size(), 0);

  Layer l = nn.getInputLayer().getConnections().get(0).getOutputLayer();
  Conv2DConnection cc = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  assertEquals(28, cc.getOutputFeatureMapRows(), 0);
  assertEquals(28, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(6, cc.getOutputFilters(), 0);

  Subsampling2DConnection sc = (Subsampling2DConnection) l.getConnections().get(2);
  l = l.getConnections().get(2).getOutputLayer();
  assertEquals(14, sc.getOutputFeatureMapRows(), 0);
  assertEquals(14, sc.getOutputFeatureMapColumns(), 0);
  assertEquals(6, sc.getFilters(), 0);

  cc = (Conv2DConnection) l.getConnections().get(1);
  l = l.getConnections().get(1).getOutputLayer();
  assertEquals(10, cc.getOutputFeatureMapRows(), 0);
  assertEquals(10, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(16, cc.getOutputFilters(), 0);

  sc = (Subsampling2DConnection) l.getConnections().get(2);
  l = l.getConnections().get(2).getOutputLayer();
  assertEquals(5, sc.getOutputFeatureMapRows(), 0);
  assertEquals(5, sc.getOutputFeatureMapColumns(), 0);
  assertEquals(16, sc.getFilters(), 0);

  cc = (Conv2DConnection) l.getConnections().get(1);
  l = l.getConnections().get(1).getOutputLayer();
  assertEquals(1, cc.getOutputFeatureMapRows(), 0);
  assertEquals(1, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(120, cc.getOutputFilters(), 0);

  GraphConnections cg = (GraphConnections) l.getConnections().get(2);
  assertEquals(84, cg.getConnectionGraph().getRows(), 0);

  GraphConnections cg2 = (GraphConnections) cg.getOutputLayer().getConnections().get(2);
  assertEquals(10, cg2.getConnectionGraph().getRows(), 0);
    }

    @Test
    public void testCNNConstruction2() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 28, 28, 1 }, { 5, 5, 20, 1 }, { 2, 2 }, { 5, 5, 50, 1 }, { 2, 2 }, {500}, {10} }, true);
  assertEquals(11, nn.getLayers().size(), 0);

  Conv2DConnection cc = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  Layer l = nn.getInputLayer().getConnections().get(0).getOutputLayer();
  assertEquals(24, cc.getOutputFeatureMapRows(), 0);
  assertEquals(24, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(20, cc.getOutputFilters(), 0);

  Subsampling2DConnection sc = (Subsampling2DConnection) l.getConnections().get(2);
  l = l.getConnections().get(2).getOutputLayer();
  assertEquals(12, sc.getOutputFeatureMapRows(), 0);
  assertEquals(12, sc.getOutputFeatureMapColumns(), 0);
  assertEquals(20, sc.getFilters(), 0);

  cc = (Conv2DConnection) l.getConnections().get(1);
  l = l.getConnections().get(1).getOutputLayer();
  assertEquals(8, cc.getOutputFeatureMapRows(), 0);
  assertEquals(8, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(50, cc.getOutputFilters(), 0);

  sc = (Subsampling2DConnection) l.getConnections().get(2);
  l = l.getConnections().get(2).getOutputLayer();
  assertEquals(4, sc.getOutputFeatureMapRows(), 0);
  assertEquals(4, sc.getOutputFeatureMapColumns(), 0);
  assertEquals(50, sc.getFilters(), 0);
  assertEquals(50 * 4 * 4, l.getConnections().get(0).getOutputUnitCount(), 0);

  Layer layer = l.getConnections().get(1).getOutputLayer();
  assertEquals(500, layer.getConnections().get(0).getOutputUnitCount(), 0);

  layer = layer.getConnections().get(2).getOutputLayer();
  assertEquals(500, layer.getConnections().get(0).getInputUnitCount(), 0);
  assertEquals(10, layer.getConnections().get(0).getOutputUnitCount(), 0);
    }

    @Test
    public void testCNNConstruction3() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 6, 6, 1 }, { 3, 3, 2, 2 }, { 2, 2 } }, true);
  assertEquals(4, nn.getLayers().size(), 0);

  Conv2DConnection cc = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  Layer l = nn.getInputLayer().getConnections().get(0).getOutputLayer();
  assertEquals(2, cc.getOutputFeatureMapRows(), 0);
  assertEquals(2, cc.getOutputFeatureMapColumns(), 0);
  assertEquals(2, cc.getOutputFilters(), 0);

  Subsampling2DConnection sc = (Subsampling2DConnection) l.getConnections().get(2);
  l = l.getConnections().get(2).getOutputLayer();
  assertEquals(1, sc.getOutputFeatureMapRows(), 0);
  assertEquals(1, sc.getOutputFeatureMapColumns(), 0);
  assertEquals(2, sc.getFilters(), 0);
    }

    public void testCNNLayerCalculatorConstruction() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 28, 28, 1 }, { 5, 5, 20, 1 }, { 2, 2 }, { 5, 5, 50, 1 }, { 2, 2 }, {500}, {10} }, true);
  nn.setLayerCalculator(NNFactory.lcSigmoid(nn, null));
  NNFactory.lcMaxPooling(nn);

  // feedforwad cc
  LayerCalculatorImpl lc = (LayerCalculatorImpl) nn.getLayerCalculator();

  Layer l = nn.getInputLayer();

  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorConv);

  l = l.getConnections().get(0).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorConv);

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof AparapiMaxPooling2D);

  l = l.getConnections().get(1).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorConv);

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof AparapiMaxPooling2D);

  l = l.getConnections().get(1).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorFullyConnected);

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorFullyConnected);

  // backpropagation cc
  BackPropagationTrainer<?> bpt = TrainerFactory.backPropagation(nn, null, null, null, null, 0.01f, 0.5f, 0f, 0f);
  BackPropagationLayerCalculatorImpl bplc = (BackPropagationLayerCalculatorImpl) bpt.getBPLayerCalculator();

  l = nn.getInputLayer();
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackPropagationConv2DSigmoid);

  l = l.getConnections().get(0).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackpropagationMaxPooling2D);
  assertTrue(bplc.getConnectionCalculator(l.getConnections().get(1).getInputLayer()) instanceof BackPropagationConv2D);   // bias

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackPropagationConv2DSigmoid);

  l = l.getConnections().get(1).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackpropagationMaxPooling2D);
  assertTrue(bplc.getConnectionCalculator(l.getConnections().get(1).getInputLayer()) instanceof BackPropagationConv2D);

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackPropagationSigmoid);

  l = l.getConnections().get(1).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l.getConnections().get(1).getInputLayer()) instanceof BackPropagationSigmoid);
  assertTrue(bplc.getConnectionCalculator(l) instanceof BackPropagationSigmoid);

  l = l.getConnections().get(2).getOutputLayer();
  assertTrue(bplc.getConnectionCalculator(l.getConnections().get(1).getInputLayer()) instanceof BackPropagationSigmoid);
  assertTrue(bplc.getConnectionCalculator(l) == null);

  // simple convolutional network
  nn = NNFactory.convNN(new int[][] { { 28, 28, 1 }, { 1, 1 }, {10} }, false);
  nn.setLayerCalculator(NNFactory.lcSigmoid(nn, null));
  NNFactory.lcMaxPooling(nn);

  l = nn.getInputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof ConnectionCalculatorConv);

  l = l.getConnections().get(0).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof AparapiSubsampling2D);

  l = l.getConnections().get(0).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof AparapiSigmoid);

  bpt = TrainerFactory.backPropagation(nn, null, null, new MultipleNeuronsOutputError(), null, 0.02f, 0.5f, 0f, 0f);
  bplc = (BackPropagationLayerCalculatorImpl) bpt.getBPLayerCalculator();

  l = nn.getInputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof BackpropagationMaxPooling2D);

  l = l.getConnections().get(0).getOutputLayer();
  assertTrue(lc.getConnectionCalculator(l) instanceof BackPropagationSigmoid);
    }

    @Test
    public void testConvolutions() {
  NeuralNetworkImpl nn = new NeuralNetworkImpl();
  Conv2DConnection c = new Conv2DConnection(new Layer(), new Layer(), 3, 3, 2, 2, 2, 1, 1);
  nn.addConnection(c);
  c.getWeights()[0] = 1;
  c.getWeights()[1] = 2;
  c.getWeights()[2] = 3;
  c.getWeights()[3] = 4;
  c.getWeights()[4] = 1;
  c.getWeights()[5] = 2;
  c.getWeights()[6] = 3;
  c.getWeights()[7] = 4;

  Matrix i1 = new Matrix(new float[] { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 }, 1);

  Matrix o = new Matrix(4, 1);

  AparapiConv2D conv = new AparapiConv2DFF(c, 1);

  conv.calculate(c, i1, o);

  // most simple case
  assertEquals(164, o.get(0, 0), 0);
  assertEquals(184, o.get(0, 1), 0);
  assertEquals(224, o.get(0, 2), 0);
  assertEquals(244, o.get(0, 3), 0);
  Util.fillArray(o.getElements(), 0);
    }

    @Test
    public void testConvolutions2() {
  Conv2DConnection c = new Conv2DConnection(new Layer(), new Layer(), 3, 3, 2, 2, 2, 2, 1);
  c.getWeights()[0] = 1;
  c.getWeights()[1] = 2;
  c.getWeights()[2] = 3;
  c.getWeights()[3] = 4;
  c.getWeights()[4] = 1;
  c.getWeights()[5] = 2;
  c.getWeights()[6] = 3;
  c.getWeights()[7] = 4;
  c.getWeights()[8] = 1;
  c.getWeights()[9] = 2;
  c.getWeights()[10] = 3;
  c.getWeights()[11] = 4;
  c.getWeights()[12] = 1;
  c.getWeights()[13] = 2;
  c.getWeights()[14] = 3;
  c.getWeights()[15] = 4;

  Matrix i1 = new Matrix(new float[] { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 }, 1);

  Matrix o = new Matrix(8, 1);

  AparapiConv2D conv = new AparapiConv2DFF(c, 1);

  conv.calculate(c, i1, o);

  assertEquals(164, o.get(0, 0), 0);
  assertEquals(184, o.get(0, 1), 0);
  assertEquals(224, o.get(0, 2), 0);
  assertEquals(244, o.get(0, 3), 0);
  assertEquals(164, o.get(0, 4), 0);
  assertEquals(184, o.get(0, 5), 0);
  assertEquals(224, o.get(0, 6), 0);
  assertEquals(244, o.get(0, 7), 0);
  Util.fillArray(o.getElements(), 0);
    }

    @Test
    public void testSimpleCNN() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] {{3, 3, 2}, {2, 2, 2, 1}, {2, 2}}, false);
  nn.setLayerCalculator(NNFactory.lcWeightedSum(nn, null));
  NNFactory.lcMaxPooling(nn);

  Conv2DConnection c = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  c.getWeights()[0] = 1;
  c.getWeights()[1] = 2;
  c.getWeights()[2] = 3;
  c.getWeights()[3] = 4;
  c.getWeights()[4] = 1;
  c.getWeights()[5] = 2;
  c.getWeights()[6] = 3;
  c.getWeights()[7] = 4;
  c.getWeights()[8] = 1;
  c.getWeights()[9] = 2;
  c.getWeights()[10] = 3;
  c.getWeights()[11] = 4;
  c.getWeights()[12] = 1;
  c.getWeights()[13] = 2;
  c.getWeights()[14] = 3;
  c.getWeights()[15] = 4;

  Matrix i1 = new Matrix(new float[] { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 }, 1);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(nn.getInputLayer(), i1);

  Set<Layer> calculatedLayers = new HashSet<>();
  calculatedLayers.add(nn.getInputLayer());
  nn.getLayerCalculator().calculate(nn, nn.getOutputLayer(), calculatedLayers, vp);

  Matrix o = vp.getValues(nn.getOutputLayer());

  assertEquals(244, o.get(0, 0), 0);
  assertEquals(244, o.get(1, 0), 0);
    }

    @Test
    public void testMaxPooling() {
  Subsampling2DConnection c = new Subsampling2DConnection(new Layer(), new Layer(), 4, 4, 2, 2, 2);
  Matrix i1 = new Matrix(new float[] { 0.5f, 1, 1, 2, 1.5f, 3, 2, 4, 2.5f, 5, 3, 6, 3.5f, 7, 4f, 8, 4.5f, 9, 5f, 10, 5.5f, 11, 6f, 12, 6.5f, 13, 7f, 14, 8f, 16, 7.5f, 15, 8.5f, 17, 9f, 18, 9.5f, 19, 10f, 20, 10.5f, 21, 11f, 22, 11.5f, 23, 12f, 24, 12.5f, 25, 13f, 26, 13.5f, 27, 14f, 28, 14.5f, 29, 15f, 30, 16f, 32, 15.5f, 31 }, 2);
  List<Connections> connections = new ArrayList<Connections>();
  connections.add(c);

  ConnectionCalculator calc = new AparapiMaxPooling2D();
  Matrix o = new Matrix(8, 2);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(c.getInputLayer(), i1);
  vp.addValues(c.getOutputLayer(), o);

  calc.calculate(connections, vp, c.getOutputLayer());

  assertEquals(3, o.get(0, 0), 0);
  assertEquals(4, o.get(1, 0), 0);
  assertEquals(7, o.get(2, 0), 0);
  assertEquals(8, o.get(3, 0), 0);
  assertEquals(11, o.get(4, 0), 0);
  assertEquals(12, o.get(5, 0), 0);
  assertEquals(15, o.get(6, 0), 0);
  assertEquals(16, o.get(7, 0), 0);

  assertEquals(6, o.get(0, 1), 0);
  assertEquals(8, o.get(1, 1), 0);
  assertEquals(14, o.get(2, 1), 0);
  assertEquals(16, o.get(3, 1), 0);
  assertEquals(22, o.get(4, 1), 0);
  assertEquals(24, o.get(5, 1), 0);
  assertEquals(30, o.get(6, 1), 0);
  assertEquals(32, o.get(7, 1), 0);
    }

    @Test
    public void testAveragePooling() {
  Subsampling2DConnection c = new Subsampling2DConnection(new Layer(), new Layer(), 4, 4, 2, 2, 2);
  Matrix i1 = new Matrix(new float[] { 0.5f, 1, 1, 2, 1.5f, 3, 2, 4, 2.5f, 5, 3, 6, 3.5f, 7, 4f, 8, 4.5f, 9, 5f, 10, 5.5f, 11, 6f, 12, 6.5f, 13, 7f, 14, 8f, 16, 7.5f, 15, 8.5f, 17, 9f, 18, 9.5f, 19, 10f, 20, 10.5f, 21, 11f, 22, 11.5f, 23, 12f, 24, 12.5f, 25, 13f, 26, 13.5f, 27, 14f, 28, 14.5f, 29, 15f, 30, 16f, 32, 15.5f, 31 }, 2);
  List<Connections> connections = new ArrayList<Connections>();
  connections.add(c);

  AparapiAveragePooling2D calc = new AparapiAveragePooling2D();
  Matrix o = new Matrix(8, 2);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(c.getInputLayer(), i1);
  vp.addValues(c.getOutputLayer(), o);

  calc.calculate(connections, vp, c.getOutputLayer());

  assertEquals(1.75, o.get(0, 0), 0);
  assertEquals(2.75, o.get(1, 0), 0);
  assertEquals(5.75, o.get(2, 0), 0);
  assertEquals(6.75, o.get(3, 0), 0);
  assertEquals(9.75, o.get(4, 0), 0);
  assertEquals(10.75, o.get(5, 0), 0);
  assertEquals(13.75, o.get(6, 0), 0);
  assertEquals(14.75, o.get(7, 0), 0);

  assertEquals(3.5, o.get(0, 1), 0);
  assertEquals(5.5, o.get(1, 1), 0);
  assertEquals(11.5, o.get(2, 1), 0);
  assertEquals(13.5, o.get(3, 1), 0);
  assertEquals(19.5, o.get(4, 1), 0);
  assertEquals(21.5, o.get(5, 1), 0);
  assertEquals(27.5, o.get(6, 1), 0);
  assertEquals(29.5, o.get(7, 1), 0);
    }

    @Test
    public void testStochasticPooling() {
  Subsampling2DConnection c = new Subsampling2DConnection(new Layer(), new Layer(), 3, 3, 3, 3, 1);
  Matrix i1 = new Matrix(new float[] { 1.6f, 1.6f, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.4f, 2.4f }, 2);
  List<Connections> connections = new ArrayList<Connections>();
  connections.add(c);

  Matrix o = new Matrix(1, 2);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(c.getInputLayer(), i1);
  vp.addValues(c.getOutputLayer(), o);

  AparapiStochasticPooling2D calc = new AparapiStochasticPooling2D();
  calc.calculate(connections, vp, c.getOutputLayer());

  assertEquals(2.08, o.get(0, 0), 0.01);
  assertEquals(2.08, o.get(0, 1), 0.01);
    }

    @Test
    public void testMaxPoolingBackpropagation() {
  Subsampling2DConnection c = new Subsampling2DConnection(new Layer(), new Layer(), 4, 4, 2, 2, 2);
  Matrix a1 = new Matrix(new float[] { 0.5f, 1, 1, 2, 1.5f, 3, 2, 4, 2.5f, 5, 3, 6, 3.5f, 7, 4f, 8, 4.5f, 9, 5f, 10, 5.5f, 11, 6f, 12, 6.5f, 13, 7f, 14, 8f, 16, 7.5f, 15, 8.5f, 17, 9f, 18, 9.5f, 19, 10f, 20, 10.5f, 21, 11f, 22, 11.5f, 23, 12f, 24, 12.5f, 25, 13f, 26, 13.5f, 27, 14f, 28, 14.5f, 29, 15f, 30, 16f, 32, 15.5f, 31 }, 2);
  Matrix o = new Matrix(8, 2);

  List<Connections> connections = new ArrayList<Connections>();
  connections.add(c);

  // max pooling
  ValuesProvider vp = new ValuesProvider();
  vp.addValues(c.getInputLayer(), a1);
  vp.addValues(c.getOutputLayer(), o);

  ConnectionCalculator calc = new AparapiMaxPooling2D();
  calc.calculate(connections, vp, c.getOutputLayer());

  ValuesProvider activations = new ValuesProvider();
  activations.addValues(c.getInputLayer(), a1);

  Matrix bpo = new Matrix(32, 2);

  vp = new ValuesProvider();
  vp.addValues(c.getOutputLayer(), o);
  vp.addValues(c.getInputLayer(), bpo);

  BackpropagationMaxPooling2D bp = new BackpropagationMaxPooling2D();
  bp.setActivations(activations);
  bp.calculate(connections, vp, c.getInputLayer());

  assertEquals(true, bpo.get(5, 0) == a1.get(5, 0));
  assertEquals(true, bpo.get(7, 0) == a1.get(7, 0));
  assertEquals(true, bpo.get(13, 0) == a1.get(13, 0));
  assertEquals(true, bpo.get(14, 0) == a1.get(14, 0));
  assertEquals(true, bpo.get(5, 1) == a1.get(5, 1));
  assertEquals(true, bpo.get(7, 1) == a1.get(7, 1));
  assertEquals(true, bpo.get(13, 1) == a1.get(13, 1));
  assertEquals(true, bpo.get(14, 1) == a1.get(14, 1));
    }

    @Test
    public void testAveragePoolingBackpropagation() {
  Environment.getInstance().setExecutionMode(EXECUTION_MODE.SEQ);
  Subsampling2DConnection c = new Subsampling2DConnection(new Layer(), new Layer(), 4, 4, 2, 2, 2);
  Matrix a1 = new Matrix(new float[] { 0.5f, 1, 1, 2, 1.5f, 3, 2, 4, 2.5f, 5, 3, 6, 3.5f, 7, 4f, 8, 4.5f, 9, 5f, 10, 5.5f, 11, 6f, 12, 6.5f, 13, 7f, 14, 8f, 16, 7.5f, 15, 8.5f, 17, 9f, 18, 9.5f, 19, 10f, 20, 10.5f, 21, 11f, 22, 11.5f, 23, 12f, 24, 12.5f, 25, 13f, 26, 13.5f, 27, 14f, 28, 14.5f, 29, 15f, 30, 16f, 32, 15.5f, 31 }, 2);

  // max pooling
  ConnectionCalculator calc = new AparapiAveragePooling2D();

  List<Connections> connections = new ArrayList<Connections>();
  connections.add(c);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(c.getInputLayer(), a1);
  Matrix o = new Matrix(8, 2);
  vp.addValues(c.getOutputLayer(), o);

  calc.calculate(connections, vp, c.getOutputLayer());

  ValuesProvider activations = new ValuesProvider();
  activations.addValues(c.getInputLayer(), a1);

  BackpropagationAveragePooling2D bp = new BackpropagationAveragePooling2D();
  bp.setActivations(activations);

  vp = new ValuesProvider();
  vp.addValues(c.getOutputLayer(), o);
  Matrix bpo = new Matrix(32, 2);
  vp.addValues(c.getInputLayer(), bpo);

  bp.calculate(connections, vp, c.getInputLayer());

  assertEquals(true, bpo.get(0, 0) == o.get(0, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(1, 0) == o.get(0, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(4, 0) == o.get(0, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(5, 0) == o.get(0, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(10, 0) == o.get(3, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(11, 0) == o.get(3, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(14, 0) == o.get(3, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(15, 0) == o.get(3, 0) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(0, 1) == o.get(0, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(1, 1) == o.get(0, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(4, 1) == o.get(0, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(5, 1) == o.get(0, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(10, 1) == o.get(3, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(11, 1) == o.get(3, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(14, 1) == o.get(3, 1) / c.getSubsamplingRegionLength());
  assertEquals(true, bpo.get(15, 1) == o.get(3, 1) / c.getSubsamplingRegionLength());
    }

    @Test
    public void testCNNBackpropagation() {
  Environment.getInstance().setExecutionMode(EXECUTION_MODE.SEQ);

  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 3, 3, 2 }, { 2, 2, 1, 1 } }, true);
  nn.setLayerCalculator(NNFactory.lcSigmoid(nn, null));

  Conv2DConnection c = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  c.setWeights(new float [] {0.1f, 0.2f, 0.3f, 0.4f, 0.5f, 0.6f, 0.7f, 0.8f});

  Conv2DConnection b = (Conv2DConnection) nn.getOutputLayer().getConnections().get(1);
  b.setWeights(new float [] {-3f});
 
  SimpleInputProvider ts = new SimpleInputProvider(new float[][] { { 0.1f, 0.2f, 0.3f, 0.4f, 0.5f, 0.6f, 0.7f, 0.8f, 0.9f, 1, 1.1f, 1.2f, 1.3f, 1.4f, 1.5f, 1.6f, 1.7f, 1.8f } }, new float[][] { { 1, 1, 1, 1 } }, 1, 1);
  BackPropagationTrainer<?> t = TrainerFactory.backPropagation(nn, ts, null, null, null, 0.5f, 0f, 0f, 0f);
  t.train();

  assertEquals(0.11756, c.getWeights()[0], 0.00001);
  assertEquals(0.22640, c.getWeights()[1], 0.00001);
  assertEquals(0.34408, c.getWeights()[2], 0.00001);
  assertEquals(0.45292, c.getWeights()[3], 0.00001);
  assertEquals(0.59712, c.getWeights()[4], 0.00001);
  assertEquals(0.70596, c.getWeights()[5], 0.00001);
  assertEquals(0.82364, c.getWeights()[6], 0.00001);
  assertEquals(0.93248, c.getWeights()[7], 0.00001);
  assertEquals(-2.911599, b.getWeights()[0], 0.00001);
    }

    @Test
    public void testCNNBackpropagation2() {
  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { {2, 1, 1}, {1, 1}, {2}, {2}, {1} }, false);
  nn.setLayerCalculator(NNFactory.lcSigmoid(nn, null));
  NNFactory.lcMaxPooling(nn);

  FullyConnected c1 = (FullyConnected) nn.getInputLayer().getConnections().get(0).getOutputLayer().getConnections().get(1).getOutputLayer().getConnections().get(1);
  Matrix cg1 = c1.getConnectionGraph();
  cg1.set(0.1f, 0, 0);
  cg1.set(0.8f, 0, 1);
  cg1.set(0.4f, 1, 0);
  cg1.set(0.6f, 1, 1);

  FullyConnected c2 = (FullyConnected) nn.getOutputLayer().getConnections().iterator().next();
  Matrix cg2 = c2.getConnectionGraph();
  cg2.set(0.3f, 0, 0);
  cg2.set(0.9f, 0, 1);

  BackPropagationTrainer<?> bpt = TrainerFactory.backPropagation(nn, new SimpleInputProvider(new float[][] { { 0.35f, 0.9f } }, new float[][] { { 0.5f } }, 1, 1), new SimpleInputProvider(new float[][] { { 0.35f, 0.9f } }, new float[][] { { 0.5f } }, 1, 1), null, null, 1f, 0f, 0f, 0f);
  bpt.train();

  assertEquals(0.09916, cg1.get(0, 0), 0.01);
  assertEquals(0.7978, cg1.get(0, 1), 0.01);
  assertEquals(0.3972, cg1.get(1, 0), 0.01);
  assertEquals(0.5928, cg1.get(1, 1), 0.01);
  assertEquals(0.272392, cg2.get(0, 0), 0.01);
  assertEquals(0.87305, cg2.get(0, 1), 0.01);
    }

    @Test
    public void testCNNStride() {
  Environment.getInstance().setExecutionMode(EXECUTION_MODE.SEQ);

  NeuralNetworkImpl nn = NNFactory.convNN(new int[][] { { 5, 5, 1 }, { 2, 2, 1, 2 } }, false);
  nn.setLayerCalculator(NNFactory.lcWeightedSum(nn, null));

  Conv2DConnection cc = (Conv2DConnection) nn.getInputLayer().getConnections().get(0);
  Util.fillArray(cc.getWeights(), 1);

  ValuesProvider vp = new ValuesProvider();
  vp.addValues(nn.getInputLayer(), new Matrix(new float[] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, 1));

  Set<Layer> calculatedLayers = new HashSet<>();
  calculatedLayers.add(nn.getInputLayer());
  nn.getLayerCalculator().calculate(nn, nn.getOutputLayer(), calculatedLayers, vp);

  Matrix o = vp.getValues(nn.getOutputLayer());
  assertEquals(16, o.get(0, 0), 0.00001);
  assertEquals(24, o.get(1, 0), 0.00001);
  assertEquals(56, o.get(2, 0), 0.00001);
  assertEquals(64, o.get(3, 0), 0.00001);
    }
}
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