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A minimalistic representation model for head direction system

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arxiv 2411.10596 v2 pith:I36DH7DF submitted 2024-11-15 q-bio.NC cs.AIcs.CVstat.ML

Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu This is my paper · ORCID
classification q-bio.NCcs.AIcs.CVstat.ML
keywords modelrepresentationdirectionheaddemonstrateminimalisticsystemversion
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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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