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arXiv 2008.09927q-bio.NC
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知觉推理和大脑运动控制的贝叶斯机制

Bayesian mechanics of perceptual inference and motor control in the brain

Chang Sub Kim

摘要:

神经科学中的自由能原理(FEP)规定,所有可行的代理诱导和最小化大脑中的信息自由能,以适应其环境生态位。在这项研究中,我们继续努力,使FEP一个更物理原则的形式主义,实现自由能最小化的基础上最小的行动原则。我们通过将早期出版物(Kim 2018)中报告的公式转化为考虑被动感知之外的主动推理来建立贝叶斯力学(BM)。BM是FEP下连续时间变分贝叶斯的神经实现。所得到的BM被提供为有效的汉密尔顿运动方程,并且受到由大脑在本体感受水平的预测误差引起的控制信号的影响。为了证明我们的方法的实用性,我们采用了一个简单的基于代理的模型,并提出了一个具体的数值说明的大脑执行识别动力学集成BM在神经相空间。此外,我们概括了FEP的主要理论架构,通过比较我们的方法与常见的状态空间配方。

英文摘要:

The free energy principle (FEP) in the neurosciences stipulates that all viable agents induce and minimize informational free energy in the brain to fit their environmental niche. In this study, we continue our effort to make the FEP a more physically principled formalism by implementing free energy minimization based on the principle of least action. We build a Bayesian mechanics (BM) by casting the formulation reported in the earlier publication (Kim 2018) to considering active inference beyond passive perception. The BM is a neural implementation of variational Bayes under the FEP in continuous time. The resulting BM is provided as an effective Hamilton's equation of motion and subject to the control signal arising from the brain's prediction errors at the proprioceptive level. To demonstrate the utility of our approach, we adopt a simple agent-based model and present a concrete numerical illustration of the brain performing recognition dynamics by integrating BM in neural phase space. Furthermore, we recapitulate the major theoretical architectures in the FEP by comparing our approach with the common state-space formulations.

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