arXiv:2507.13638q-bio.NCcs.LG2025-07

状态空间模型自然产生时间细胞和振荡行为,可扩展至抽象认知功能。

State Space Models Naturally Produce Time Cell and Oscillatory Behaviors and Scale to Abstract Cognitive Functions

  • 基于状态空间模型的神经动力学设计,结合最优预配置与旋转动态。
  • 无需训练即生成结构化时间动态,学习仅用于微调已有振荡模式。
  • 适用于事件计数等抽象认知任务,具生物学解释潜力。

现代神经科学的重大挑战在于连接微观神经回路的精细映射与认知功能的机制理解。尽管对神经元连接和生物物理过程有丰富知识,但这些低层次现象如何产生抽象行为仍不明确。本文提出,基于状态空间模型(State Space Models)的深度学习架构可能成为潜在的生物模型。该模型的微分方程在概念上与生物物理过程一致,同时具备构建涌现行为的可扩展框架。我们在强化学习下训练一个采用对角状态转移矩阵的网络,完成时间辨别任务。结果表明,时间细胞等神经行为源于两个基本原理:最优预配置与旋转动态。数学上证明这能优化历史压缩,并在训练前即产生结构化时间动态,与近期生物学发现一致。学习主要起选择作用,微调预置的振荡模式,而非从零构建时间编码。该模型可轻松扩展至事件计数等抽象认知功能,支持其作为理解神经活动的计算可行框架。

原文摘要 · Abstract (English)

A grand challenge in modern neuroscience is to bridge the gap between the detailed mapping of microscale neural circuits and mechanistic understanding of cognitive functions. While extensive knowledge exists about neuronal connectivity and biophysics, how these low-level phenomena eventually produce abstract behaviors remains largely unresolved. Here, we propose that a model based on State Space Models, an emerging class of deep learning architectures, can be a potential biological model for analysis. We suggest that the differential equations governing elements in a State Space Model are conceptually consistent with the dynamics of biophysical processes, while the model offers a scalable framework to build on the dynamics to produce emergent behaviors observed in experimental neuroscience. We test this model by training a network employing a diagonal state transition matrix on temporal discrimination tasks with reinforcement learning. Our results suggest that neural behaviors such as time cells naturally emerge from two fundamental principles: optimal pre-configuration and rotational dynamics. These features are shown mathematically to optimize history compression, and naturally generate structured temporal dynamics even prior to training, mirroring recent findings in biological circuits. We show that learning acts primarily as a selection mechanism that fine-tunes these pre-configured oscillatory modes, rather than constructing temporal codes de novo. The model can be readily scaled to abstract cognitive functions such as event counting, supporting the use of State Space Models as a computationally tractable framework for understanding neural activities.

状态空间模型时间细胞认知建模

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