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Persistent learning signals and working memory without continuous attractors

Published 24 Aug 2023 in q-bio.NC, cs.LG, cs.NE, and nlin.AO | (2308.12585v1)

Abstract: Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support useful learning signals necessary to adapt to changes in the temporal structure of the environment. We show that in addition to the continuous attractors that are widely implicated, periodic and quasi-periodic attractors can also support learning arbitrarily long temporal relationships. Unlike the continuous attractors that suffer from the fine-tuning problem, the less explored quasi-periodic attractors are uniquely qualified for learning to produce temporally structured behavior. Our theory has broad implications for the design of artificial learning systems and makes predictions about observable signatures of biological neural dynamics that can support temporal dependence learning and working memory. Based on our theory, we developed a new initialization scheme for artificial recurrent neural networks that outperforms standard methods for tasks that require learning temporal dynamics. Moreover, we propose a robust recurrent memory mechanism for integrating and maintaining head direction without a ring attractor.

Citations (7)

Summary

  • The paper introduces quasi-periodic attractors as a novel framework to sustain persistent learning signals without the delicate tuning required by continuous attractors.
  • It develops a mathematical model and a specialized initialization scheme that enhances gradient propagation in recurrent networks for better temporal learning.
  • Empirical results reveal superior task performance and offer fresh insights into how neural oscillations support memory and learning processes.

Persistent Learning Signals and Working Memory Without Continuous Attractors

Introduction

The hypothesis that neural dynamical systems with attractor structures underpin working memory is longstanding. Traditionally, point and continuous attractors have been proposed to support temporally extended behavior in neural systems. However, attractor-based mechanisms often fail to provide the necessary learning signals for adapting to temporal changes in the environment. This paper presents an exploration of the periodic and quasi-periodic attractors as alternatives to continuous attractors for maintaining learning signals over extended temporal relationships. The theoretical exploration has significant implications for both biological understanding and artificial neural network design, wherein it proposes that quasi-periodic attractors are uniquely suited for learning temporal structures without the fine-tuning required by continuous attractors.

Attractor Dynamics and Working Memory

Early models posited that the brain relies on stable attractors to sustain working memory over short periods. While fading memory and point attractors have limitations in time-span and flexibility, continuous attractors can seamlessly adapt to varying time scales. However, continuous attractors are delicately balanced phenomena that often demand fraught parameter tuning, rendering them impractical in a dynamic environment with synaptic noise and plasticity. The authors propose using quasi-periodic attractors, which encode information in oscillatory patterns. This theory is further elucidated with an initialization scheme that improves learning in artificial neural networks for tasks demanding strong temporal dynamics.

Results and Implications

The study provides a mathematical framework for understanding gradient signal propagation in recurrent networks. It challenges previous biological models of working memory, suggesting that quasi-periodic attractors offer a robust and persistent mechanism for learning over temporal gaps. This approach is validated through recurrent neural network experiments that exhibit superior task performance with the proposed initialization scheme compared to standard methods.

Furthermore, the results imply that biological oscillations observed across neural systems may reflect the intrinsic substrate of memory and learning. The authors speculate that these oscillations facilitate learning signals, encouraging the view that dynamic neural oscillators with structural stability perform better under the constant experience-driven rewiring seen in biological networks.

Future Developments and Conclusion

The introduction of periodic attractors for learning suggests potential new directions in artificial intelligence and neuroscience. Future research could further integrate these theoretical insights into practical algorithms, enhancing the robustness and adaptability of neural networks. Moreover, the exploration of phase-dependent learning signals and the roles of neural oscillations in these processes may illuminate additional pathways for developing neuromorphic technologies and elucidating the mechanisms behind learning and memory in the brain.

In conclusion, this work ushers in a nascent understanding of neural dynamics, positing that periodic attractors are fundamentally more secure than continuous attractors in maintaining persistent memory and learning signals. The implications extend from refining machine learning practices to offering new perspectives on biological memory and learning systems.

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