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arXiv · 2411.10596

A minimalistic representation model for head direction system

Minglu Zhao·Dehong Xu·Deqian Kong·Wen-Hao Zhang·Ying Nian Wu
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Abstract

We present a minimalistic representation model for the head direction (HD) system, aiming to learn a high-dimensional representation of head direction that captures essential properties of HD cells. Our model is a representation of rotation group $U(1)$, and we study both the fully connected version and convolutional version. We demonstrate the emergence of Gaussian-like tuning profiles and a 2D circle geometry in both versions of the model. We also demonstrate that the learned model is capable of accurate path integration.

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Minglu Zhao, Dehong Xu, Deqian Kong, Wen-Hao Zhang, Ying Nian Wu. 2024-11-15. A minimalistic representation model for head direction system. https://arxiv.org/abs/2411.10596

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