论文标题

生物和机器II中适应原理:贝叶斯大脑的热力学

The principles of adaptation in organisms and machines II: Thermodynamics of the Bayesian brain

论文作者

Shimazaki, Hideaki

论文摘要

本文回顾了生物体如何通过贝叶斯推论的角度通过神经网络的动态来学习和识别世界,并介绍了一种关于神经活动的熵的描述如何描述这种动态的观点,这是我们称之为贝叶斯大脑热力学的范式。贝叶斯脑假说认为神经元的刺激诱发活性是基于生物体所具有的外部世界的生成模型来构建贝叶斯后验分布的行为。仔细观察早期感觉皮层的刺激诱发活性表明,前馈连接最初介导了刺激反应,后来由复发连接的输入调节。重要的是,不是最初的反应,而是延迟的调制表达了动物的认知状态,例如意识和对刺激的关注。使用由尖峰神经种群制成的简单生成模型,我们将刺激诱发的动力学重现为延迟的反馈调制,作为贝叶斯推断的过程,将刺激证据和先验知识与时间延迟整合在一起。然后,我们根据神经活动的熵对此过程介绍了热力学观点。这种观点阐明了贝叶斯推论的过程是最近提供的信息理论引擎(神经发动机,热力学中的热发动机的类似物),这使我们能够量化以熵的延迟调制表达的感知能力。

This article reviews how organisms learn and recognize the world through the dynamics of neural networks from the perspective of Bayesian inference, and introduces a view on how such dynamics is described by the laws for the entropy of neural activity, a paradigm that we call thermodynamics of the Bayesian brain. The Bayesian brain hypothesis sees the stimulus-evoked activity of neurons as an act of constructing the Bayesian posterior distribution based on the generative model of the external world that an organism possesses. A closer look at the stimulus-evoked activity at early sensory cortices reveals that feedforward connections initially mediate the stimulus-response, which is later modulated by input from recurrent connections. Importantly, not the initial response, but the delayed modulation expresses animals' cognitive states such as awareness and attention regarding the stimulus. Using a simple generative model made of a spiking neural population, we reproduce the stimulus-evoked dynamics with the delayed feedback modulation as the process of the Bayesian inference that integrates the stimulus evidence and a prior knowledge with time-delay. We then introduce a thermodynamic view on this process based on the laws for the entropy of neural activity. This view elucidates that the process of the Bayesian inference works as the recently-proposed information-theoretic engine (neural engine, an analogue of a heat engine in thermodynamics), which allows us to quantify the perceptual capacity expressed in the delayed modulation in terms of entropy.

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