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===自由能最小化与信息论===

===自由能最小化与信息论===

自由能最小化相当于最大化感官状态和内部状态之间的[[互信息]]，使变分密度参数化（对于固定熵变分密度）<ref name="Friston" />这将自由能最小化与最小冗余原则联系起来。<ref>Barlow, H. (1961). [http://www.trin.cam.ac.uk/horacebarlow/21.pdf Possible principles underlying the transformations of sensory messages] {{Webarchive|url=https://web.archive.org/web/20120603182706/http://www.trin.cam.ac.uk/horacebarlow/21.pdf |date=2012-06-03 }}. In W. Rosenblith (Ed.), Sensory Communication (pp. 217-34). Cambridge, MA: MIT Press.</ref>并且联系到用信息论描述最优行为的相关处理<ref>Linsker, R. (1990).[https://www.annualreviews.org/doi/pdf/10.1146/annurev.ne.13.030190.001353 Perceptual neural organization: some approaches based on network models and information theory]. Annu Rev Neurosci. , 13, 257–81.</ref><ref>Bialek, W., Nemenman, I., & Tishby, N. (2001). [http://www.princeton.edu/~wbialek/our_papers/bnt_01a.pdf Predictability, complexity, and learning]. Neural Computat., 13 (11), 2409–63.</ref>

自由能最小化相当于最大化感官状态和内部状态之间的[[互信息]]，使变分密度参数化（对于固定熵变分密度）<ref name="Friston" />这将自由能最小化与最小冗余原则联系起来。<ref>Barlow, H. (1961). [http://www.trin.cam.ac.uk/horacebarlow/21.pdf Possible principles underlying the transformations of sensory messages] In W. Rosenblith (Ed.), Sensory Communication (pp. 217-34). Cambridge, MA: MIT Press.</ref>并且联系到用信息论描述最优行为的相关处理<ref>Linsker, R. (1990).[https://www.annualreviews.org/doi/pdf/10.1146/annurev.ne.13.030190.001353 Perceptual neural organization: some approaches based on network models and information theory]. Annu Rev Neurosci. , 13, 257–81.</ref><ref>Bialek, W., Nemenman, I., & Tishby, N. (2001). [http://www.princeton.edu/~wbialek/our_papers/bnt_01a.pdf Predictability, complexity, and learning]. Neural Computat., 13 (11), 2409–63.</ref>

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