论文标题
当您不平衡时，很难编织马尔可夫毯子：在规范非平衡模型中的两个示例
Knitting a Markov blanket is hard when you are out-of-equilibrium: two examples in canonical nonequilibrium models
论文作者
论文摘要
贝叶斯的生物学和脑功能理论推测，马尔可夫毯子（将系统与外部状态分开的有条件独立性）在促进生活系统中的推理样行为方面起着关键作用。尽管已经提出马尔可夫毛毯在稀疏连接的非平衡复杂系统中很普遍，但尚未详细研究。在这里，我们在两个不同的示例中显示（一对耦合的洛伦兹系统和一个非平衡模型），稀疏连通性不能保证Markov毛毯在非平衡系统的稳态密度中。相反，在探索的非平衡iSing模型中，与平衡距离越远，系统似乎与显示Markov毯子的距离相关。这些结果表明，可能需要进一步的假设，以便在描述生命系统活动的非平衡过程中假设马尔可夫毯子存在。
Bayesian theories of biological and brain function speculate that Markov blankets (a conditional independence separating a system from external states) play a key role for facilitating inference-like behaviour in living systems. Although it has been suggested that Markov blankets are commonplace in sparsely connected, nonequilibrium complex systems, this has not been studied in detail. Here, we show in two different examples (a pair of coupled Lorenz systems and a nonequilibrium Ising model) that sparse connectivity does not guarantee Markov blankets in the steady-state density of nonequilibrium systems. Conversely, in the nonequilibrium Ising model explored, the more distant from equilibrium the system appears to be correlated with the distance from displaying a Markov blanket. These result suggests that further assumptions might be needed in order to assume the presence of Markov blankets in the kind of nonequilibrium processes describing the activity of living systems.
