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Neural net examples

In this repo you will find examples of neural networks implimented from scratch using my matrix library.

Examples included

1. perceptron

The perceptron algorithm. The activation function is a binary step function called "heaviside step function". Hinge loss as a loss function. Capable of binary classification. The example functions as an OR gate.

{
   "layers": [2, 1],
   "activation_function": ["heaviside"]
}

2. neural

Two layer neural network with gradient descent. Both layers use sigmoid as activation function. XOR gate. Weights are initialized from a uniform distribution U(-sqrt(6 / (in + out)), sqrt(6 / (in + out))) (Xavier initialization).

{
   "layers": [2, 3, 1],
   "activation_function": ["sigmoid", "sigmoid"]
}

3. momentums

Same as previous except implemented the momentum method. It impovers training speed and accuracy (avoid getting stuck in a local minima). XOR gate

{
   "layers": [2, 5, 1],
   "activation_function": ["sigmoid", "sigmoid"]
}

4. exseimion

Handwritten digit classification is a multi-label classification problem. The data set used is semeion.data.

{
   "layers": [256, 336, 10],
   "activation_function": ["sigmoid", "softmax"]
}

5. minibatches

Same as previous, Data is split in small batches (subsets). Impoves memory efficiency, accuracy for a trade-off in compute efficiency. todo: avoid copying?

{
   "layers": [256, 336, 10],
   "activation_function": ["sigmoid", "softmax"]
}

DISCLAIMER: Only for learning purposes. Nim has its own machine learning framework Arraymancer as well as torch bindings.

Acknowledgments

License

This library is distributed under the MIT license.

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