arXiv:2506.09087cs.LGmath.PR2025-06

用脉冲神经网络模拟决策过程,实现学习与生物机制的统一。

Spiking Neural Models for Decision-Making Tasks with Learning

  • 通过霍克斯过程构建可学习的脉冲神经网络模型
  • 推导出带相关噪声的漂移扩散模型可由脉冲神经网络生成
  • 适用于研究神经活动与行为关系的生物认知建模

在认知科学中,反应时间和决策常通过漂移扩散模型(DDM)描述,该模型将证据积累视为随机过程(如布朗运动),其漂移率反映证据强度。类似地,泊松计数模型将证据积累视为离散事件,其计数服从泊松过程,具有脉冲神经元的生物学解释。然而,这些模型缺乏学习机制,且仅适用于已有类别知识的任务。为弥合认知与生物模型之间的差距,本文提出一种具备学习能力的生物合理脉冲神经网络(SNN)模型,其神经活动由多变量霍克斯过程建模。首先,我们建立DDM与泊松计数模型间的耦合关系,证明两者在分类与反应时间上表现相似,且DDM可由脉冲泊松神经元近似。进一步,我们证明特定带有相关噪声的DDM可由局部学习规则调控的霍克斯神经网络推导得出。此外,设计了在线分类任务以评估模型预测。该工作推动了将生物相关神经机制融入认知模型的进程,深化了对神经活动与行为关系的理解。

原文摘要 · Abstract (English)

In cognition, response times and choices in decision-making tasks are commonly modeled using Drift Diffusion Models (DDMs), which describe the accumulation of evidence for a decision as a stochastic process, specifically a Brownian motion, with the drift rate reflecting the strength of the evidence. In the same vein, the Poisson counter model describes the accumulation of evidence as discrete events whose counts over time are modeled as Poisson processes, and has a spiking neurons interpretation as these processes are used to model neuronal activities. However, these models lack a learning mechanism and are limited to tasks where participants have prior knowledge of the categories. To bridge the gap between cognitive and biological models, we propose a biologically plausible Spiking Neural Network (SNN) model for decision-making that incorporates a learning mechanism and whose neurons activities are modeled by a multivariate Hawkes process. First, we show a coupling result between the DDM and the Poisson counter model, establishing that these two models provide similar categorizations and reaction times and that the DDM can be approximated by spiking Poisson neurons. To go further, we show that a particular DDM with correlated noise can be derived from a Hawkes network of spiking neurons governed by a local learning rule. In addition, we designed an online categorization task to evaluate the model predictions. This work provides a significant step toward integrating biologically relevant neural mechanisms into cognitive models, fostering a deeper understanding of the relationship between neural activity and behavior.

脉冲神经网络决策建模霍克斯过程

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。