Neural optimal feedback control with local learning rules

TL;DR

This paper presents a biologically plausible neural network model that combines adaptive Kalman filtering with model-free control, enabling effective motor control with delayed and noisy sensory feedback without prior knowledge of system noise or dynamics.

Contribution

It introduces a novel online algorithm integrating adaptive Kalman filtering with policy gradient control in a neural network that learns system identification and control without phase alternation or noise covariance knowledge.

Findings

Performs state estimation with delayed sensory feedback.

Learns control policy without prior knowledge of system dynamics.

Operates with local synaptic plasticity rules in a neural network.

Abstract

A major problem in motor control is understanding how the brain plans and executes proper movements in the face of delayed and noisy stimuli. A prominent framework for addressing such control problems is Optimal Feedback Control (OFC). OFC generates control actions that optimize behaviorally relevant criteria by integrating noisy sensory stimuli and the predictions of an internal model using the Kalman filter or its extensions. However, a satisfactory neural model of Kalman filtering and control is lacking because existing proposals have the following limitations: not considering the delay of sensory feedback, training in alternating phases, and requiring knowledge of the noise covariance matrices, as well as that of systems dynamics. Moreover, the majority of these studies considered Kalman filtering in isolation, and not jointly with control. To address these shortcomings, we introduce a novel online algorithm which combines adaptive Kalman filtering with a model free control approach (i.e., policy gradient algorithm). We implement this algorithm in a biologically plausible neural network with local synaptic plasticity rules. This network performs system identification and Kalman filtering, without the need for multiple phases with distinct update rules or the knowledge of the noise covariances. It can perform state estimation with delayed sensory feedback, with the help of an internal model. It learns the control policy without requiring any knowledge of the dynamics, thus avoiding the need for weight transport. In this way, our implementation of OFC solves the credit assignment problem needed to produce the appropriate sensory-motor control in the presence of stimulus delay.