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A small experimental neural network library where neurons are represented as matrices.

Project description

MATNETS

MATNETS is a JAX library for matrix-neuron neural network experiments.

In a traditional neural network, a neuron carries one scalar activation. In MATNETS, each neuron carries an n x n matrix. A layer maps a stack of input matrix-neurons to a stack of output matrix-neurons.

Core Shape Contract

The core dense primitive uses:

params.W: (q, p, n, n)
params.B: (q, n, n)
x:        (p, n, n)
output:   (q, n, n)

p is the input neuron count. q is the output neuron count. n is the matrix size for every neuron.

Read Next

  • Getting Started: install MATNETS and run a first dense layer.
  • Concepts: understand matrix-neuron shapes and JAX transforms.
  • API Guide: see each public function and its expected shapes.
  • Examples: run the included examples.
  • Development: run tests and local checks.

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