This code is a simple implementation of the backpropagation neural networks algorithm in c++ using the library Armadillo for matrix operations.
where
Given a training set
mkdir build
cd build
cmake ..
make
./backpropagation
http:https://yann.lecun.com/exdb/mnist/
https://archive.ics.uci.edu/ml/datasets/iris
The test folder contains some scripts to plot the curve of error per iteration. The table below shows the output with some results for training and testing with the mnist and iris datasets. The learning rate for mnist is 0.001 and for iris is 0.1.
dataset | train_type | train_time | n_iter | h_layers | train_error | test_error | h_units |
---|---|---|---|---|---|---|---|
mnist | sigmoid_sgd_32 | 22621.856 | 1000 | 1 | 9.662 | 9.290 | 300 |
mnist | sigmoid_momentum_32 | 22668.209 | 1000 | 1 | 2.593 | 3.210 | 300 |
mnist | sigmoid_sgd_16 | 23618.296 | 1000 | 1 | 7.627 | 7.400 | 300 |
mnist | sigmoid_momentum_16 | 23585.393 | 1000 | 1 | 1.337 | 2.410 | 300 |
mnist | sigmoid_sgd_4 | 28836.071 | 1000 | 1 | 3.240 | 3.590 | 300 |
mnist | sigmoid_momentum_4 | 10301.486 | 322 | 1 | 1.000 | 2.170 | 300 |
mnist | sigmoid_sgd_1 | 38109.302 | 762 | 1 | 0.998 | 2.250 | 300 |
mnist | sigmoid_momentum_1 | 7034.200 | 83 | 1 | 1.000 | 2.280 | 300 |
iris | sigmoid_sgd_32 | 3.457 | 20000 | 2 | 66.667 | 66.667 | 8 6 |
iris | sigmoid_momentum_32 | 3.418 | 20000 | 2 | 1.667 | 0.000 | 8 6 |
iris | relu_sgd_32 | 1.446 | 10821 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_momentum_32 | 2.943 | 20000 | 2 | 66.667 | 66.667 | 8 6 |
iris | sigmoid_sgd_16 | 3.432 | 20000 | 2 | 6.667 | 3.333 | 8 6 |
iris | sigmoid_momentum_16 | 1.030 | 6023 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_sgd_16 | 0.956 | 7107 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_momentum_16 | 3.240 | 20000 | 2 | 66.667 | 66.667 | 8 6 |
iris | sigmoid_sgd_4 | 2.643 | 15035 | 2 | 0.833 | 0.000 | 8 6 |
iris | sigmoid_momentum_4 | 0.884 | 5013 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_sgd_4 | 0.680 | 4883 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_momentum_4 | 4.861 | 20000 | 2 | 66.667 | 66.667 | 8 6 |
iris | sigmoid_sgd_1 | 3.828 | 20000 | 2 | 2.500 | 0.000 | 8 6 |
iris | sigmoid_momentum_1 | 0.653 | 3428 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_sgd_1 | 0.471 | 3067 | 2 | 0.833 | 0.000 | 8 6 |
iris | relu_momentum_1 | 11.521 | 20000 | 2 | 66.667 | 66.667 | 8 6 |