论文标题
自由能原理变得更简单,但不太简单
The free energy principle made simpler but not too simple
论文作者
论文摘要
本文提供了对自由能原理的简洁描述,从按照langevin方程的随机动力学系统开始,并以贝叶斯力学的结尾,可以将其读成一种性质的物理学。它使用统计物理学的标准结果来排练关键步骤。这些步骤需要(i)基于从稀疏耦合的动态继承的条件独立性建立特定的状态分区,(ii)根据贝叶斯推论来解开该分区的含义,以及(iii)用最小动作的变量原理描述特定状态的路径。从目的论上讲,自由能原理从最佳的贝叶斯设计和决策方面提供了自我组织的规范性说明,这是从最大化边际可能性或贝叶斯模型证据的意义上。总而言之,从从随机动力学系统的世界描述开始,我们最终以自我组织为有意义的行为的描述,可以解释为自我证明。即自组装,自动载体或主动推断。
This paper provides a concise description of the free energy principle, starting from a formulation of random dynamical systems in terms of a Langevin equation and ending with a Bayesian mechanics that can be read as a physics of sentience. It rehearses the key steps using standard results from statistical physics. These steps entail (i) establishing a particular partition of states based upon conditional independencies that inherit from sparsely coupled dynamics, (ii) unpacking the implications of this partition in terms of Bayesian inference and (iii) describing the paths of particular states with a variational principle of least action. Teleologically, the free energy principle offers a normative account of self-organisation in terms of optimal Bayesian design and decision-making, in the sense of maximising marginal likelihood or Bayesian model evidence. In summary, starting from a description of the world in terms of random dynamical systems, we end up with a description of self-organisation as sentient behaviour that can be interpreted as self-evidencing; namely, self-assembly, autopoiesis or active inference.