Markov Blanket Density and Free Energy Minimization
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912529434804224 |
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| author | Possati, Luca M. |
| author_facet | Possati, Luca M. |
| contents | This paper presents a continuous, information-theoretic extension of the Free Energy Principle through the concept of Markov blanket density, i.e., a scalar field that quantifies the degree of conditional independence between internal and external states at each point in space (ranging from 0 for full coupling to 1 for full separation). It demonstrates that active inference dynamics, including the minimization of variational and expected free energy, naturally emerge from spatial gradients in this density, making Markov blanket density a necessary foundation for the Free Energy Principle. These ideas are developed through a mathematically framework that links density gradients to precise and testable dynamics, offering a foundation for novel predictions and simulation paradigms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05794 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Markov Blanket Density and Free Energy Minimization Possati, Luca M. Neurons and Cognition Information Theory This paper presents a continuous, information-theoretic extension of the Free Energy Principle through the concept of Markov blanket density, i.e., a scalar field that quantifies the degree of conditional independence between internal and external states at each point in space (ranging from 0 for full coupling to 1 for full separation). It demonstrates that active inference dynamics, including the minimization of variational and expected free energy, naturally emerge from spatial gradients in this density, making Markov blanket density a necessary foundation for the Free Energy Principle. These ideas are developed through a mathematically framework that links density gradients to precise and testable dynamics, offering a foundation for novel predictions and simulation paradigms. |
| title | Markov Blanket Density and Free Energy Minimization |
| topic | Neurons and Cognition Information Theory |
| url | https://arxiv.org/abs/2506.05794 |