论文标题
特定的流和吸引集：评论“自由能原理的物理学有多特殊？”作者：阿奎莱拉
Particular flows and attracting sets: A comment on "How particular is the physics of the Free Energy Principle?" by Aguilera, Millidge, Tschantz and Buckley
论文作者
论文摘要
在这篇评论中，我扩展了对最近文章“自由能原理的物理学有多特殊”的分析？由Aguilera等。通过研究线性扩散的流场，尤其是在存在不同类型的螺线管偶联的情况下它们吸引集的旋转。该分析阐明了FEP文献中先前的主张（在目标文章中提出的），即随机系统的内部动力学可以施放在变异自由能上进行梯度流，因此可以推论解释，即，就好像内部状态在系统外部表现出对系统外部状态的推论。我与目标文章的声明表达了一般同意，即内部状态的边际流并不指向最可能的内部状态（即条件模式）评估的变异自由能梯度指向。但是，在此评论中，我关注特定状态（内部和毯子状态）及其各种自由能梯度的流动，并表明，对于众多但受限的螺线管耦合类别，这些系统沿变异自由能梯度的平均流量。这将对特定状态的流动作为表演推断进行了不同但也许更强大的重新描述，这很重要的是，它在状态空间的任意点上，不仅在条件模式下。
In this commentary, I expand on the analysis of the recent article "How particular is the physics of the Free Energy Principle?" by Aguilera et al. by studying the flow fields of linear diffusions, and particularly the rotation of their attracting sets in the presence of different types of solenoidal coupling. This analysis sheds new light on previous claims made in the FEP literature (and contested in the target article) that the internal dynamics of stochastic systems can be cast performing a gradient flow on variational free energy, and thus endowed with an inferential interpretation, i.e., as if internal states are performing inference about states external to the system. I express general agreement with the target article's statement that the marginal flow of internal states does not point along variational free energy gradients evaluated at the most likely internal state (i.e., the conditional mode). However, in this commentary I focus on the flow of particular states (internal and blanket states) and their variational free energy gradients, and show that for a wide but restricted class of solenoidal couplings, the average flow of these systems point along variational free energy gradients. This licenses a different but perhaps stronger re-description of the flow of particular states as performing inference, which importantly holds at arbitrary points in state space, not just at the conditional modes.
