Investigating the Scalability and Biological Plausibility of the Activation Relaxation Algorithm

• URL: http://arxiv.org/abs/2010.06219v1
• Date: Tue, 13 Oct 2020 08:02:38 GMT
• Title: Investigating the Scalability and Biological Plausibility of the Activation Relaxation Algorithm
• Authors: Beren Millidge, Alexander Tschantz, Anil Seth, Christopher L Buckley
• Abstract summary: Activation Relaxation (AR) algorithm provides a simple and robust approach for approximating the backpropagation of error algorithm. We show that the algorithm can be further simplified and made more biologically plausible by introducing a learnable set of backwards weights. We also investigate whether another biologically implausible assumption of the original AR algorithm -- the frozen feedforward pass -- can be relaxed without damaging performance.
• Score: 62.997667081978825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The recently proposed Activation Relaxation (AR) algorithm provides a simple and robust approach for approximating the backpropagation of error algorithm using only local learning rules. Unlike competing schemes, it converges to the exact backpropagation gradients, and utilises only a single type of computational unit and a single backwards relaxation phase. We have previously shown that the algorithm can be further simplified and made more biologically plausible by (i) introducing a learnable set of backwards weights, which overcomes the weight-transport problem, and (ii) avoiding the computation of nonlinear derivatives at each neuron. However, tthe efficacy of these simplifications has, so far, only been tested on simple multi-layer-perceptron (MLP) networks. Here, we show that these simplifications still maintain performance using more complex CNN architectures and challenging datasets, which have proven difficult for other biologically-plausible schemes to scale to. We also investigate whether another biologically implausible assumption of the original AR algorithm -- the frozen feedforward pass -- can be relaxed without damaging performance.

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