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arXiv 2010.00525q-bio.NCcs.NEstat.ML
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一种用于多通道典型相关分析的生物学似然神经网络

A biologically plausible neural network for multi-channel Canonical Correlation Analysis

David Lipshutz, Yanis Bahroun, Siavash Golkar, Anirvan M. Sengupta, Dmitri B. Chklovskii

摘要:

皮质锥体神经元从多个不同的神经元群体接收输入,并将这些输入整合到单独的树突隔室中。我们探讨了皮质微电路实现典型相关分析(CCA)的可能性,CCA是一种无监督学习方法,将输入投影到一个共同的子空间上,以最大限度地提高投影之间的相关性。为此,我们寻求一个多通道CCA算法,可以实现在一个生物学上合理的神经网络。对于生物相容性,我们要求网络在在线设置中运行,并且其突触更新规则是本地的。从一个新的CCA目标函数,我们推导出一个在线优化算法,其优化步骤可以实现在一个单层神经网络与多房室神经元和本地非赫布学习规则。我们还得到了我们的在线CCA算法与自适应输出秩和输出白化的扩展。有趣的是,该延伸映射到一个神经网络上,其神经结构和突触更新类似于在皮质锥体神经元中实验观察到的神经回路和突触可塑性。

英文摘要:

Cortical pyramidal neurons receive inputs from multiple distinct neural populations and integrate these inputs in separate dendritic compartments. We explore the possibility that cortical microcircuits implement Canonical Correlation Analysis (CCA), an unsupervised learning method that projects the inputs onto a common subspace so as to maximize the correlations between the projections. To this end, we seek a multi-channel CCA algorithm that can be implemented in a biologically plausible neural network. For biological plausibility, we require that the network operates in the online setting and its synaptic update rules are local. Starting from a novel CCA objective function, we derive an online optimization algorithm whose optimization steps can be implemented in a single-layer neural network with multi-compartmental neurons and local non-Hebbian learning rules. We also derive an extension of our online CCA algorithm with adaptive output rank and output whitening. Interestingly, the extension maps onto a neural network whose neural architecture and synaptic updates resemble neural circuitry and synaptic plasticity observed experimentally in cortical pyramidal neurons.

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