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随机潜变量模型中的最优编码

Optimal Encoding in Stochastic Latent-Variable Models.

作者信息

Rule Michael E, Sorbaro Martino, Hennig Matthias H

机构信息

Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK.

Institute of Neuroinformatics, University of Zürich and ETH, 8057 Zürich, Switzerland.

出版信息

Entropy (Basel). 2020 Jun 28;22(7):714. doi: 10.3390/e22070714.

DOI:10.3390/e22070714
PMID:33286485
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517251/
Abstract

In this work we explore encoding strategies learned by statistical models of sensory coding in noisy spiking networks. Early stages of sensory communication in neural systems can be viewed as encoding channels in the information-theoretic sense. However, neural populations face constraints not commonly considered in communications theory. Using restricted Boltzmann machines as a model of sensory encoding, we find that networks with sufficient capacity learn to balance precision and noise-robustness in order to adaptively communicate stimuli with varying information content. Mirroring variability suppression observed in sensory systems, informative stimuli are encoded with high precision, at the cost of more variable responses to frequent, hence less informative stimuli. Curiously, we also find that statistical criticality in the neural population code emerges at model sizes where the input statistics are well captured. These phenomena have well-defined thermodynamic interpretations, and we discuss their connection to prevailing theories of coding and statistical criticality in neural populations.

摘要

在这项工作中,我们探索了噪声脉冲网络中感官编码统计模型所学习到的编码策略。神经系统中感官通信的早期阶段在信息论意义上可被视为编码通道。然而,神经群体面临着通信理论中通常未考虑的限制。使用受限玻尔兹曼机作为感官编码模型,我们发现具有足够容量的网络会学习平衡精度和噪声鲁棒性,以便自适应地传达具有不同信息内容的刺激。与在感官系统中观察到的变异性抑制现象类似,信息丰富的刺激以高精度进行编码,代价是对频繁出现、因而信息较少的刺激产生更多变异性的反应。奇怪的是,我们还发现,在输入统计信息被很好捕捉的模型规模下,神经群体编码中的统计临界性会出现。这些现象具有明确的热力学解释,并且我们讨论了它们与神经群体中现行编码理论和统计临界性的联系。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/34d490f985a7/entropy-22-00714-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/3c50338ea626/entropy-22-00714-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/6590b9ffb1ab/entropy-22-00714-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/a2d5fe9e57a1/entropy-22-00714-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/74d37f5c56e3/entropy-22-00714-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/34d490f985a7/entropy-22-00714-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/3c50338ea626/entropy-22-00714-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/6590b9ffb1ab/entropy-22-00714-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/a2d5fe9e57a1/entropy-22-00714-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/74d37f5c56e3/entropy-22-00714-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a04a/7517251/34d490f985a7/entropy-22-00714-g005.jpg

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本文引用的文献

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Modeling a population of retinal ganglion cells with restricted Boltzmann machines.用受限玻尔兹曼机对视网膜神经节细胞群体进行建模。
Sci Rep. 2020 Oct 6;10(1):16549. doi: 10.1038/s41598-020-73691-z.
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Coarse Graining, Fixed Points, and Scaling in a Large Population of Neurons.在一大群神经元中进行粗粒化、定点化和定标。
Phys Rev Lett. 2019 Oct 25;123(17):178103. doi: 10.1103/PhysRevLett.123.178103.
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High-dimensional geometry of population responses in visual cortex.群体视觉皮层反应的高维几何结构。
Nature. 2019 Jul;571(7765):361-365. doi: 10.1038/s41586-019-1346-5. Epub 2019 Jun 26.
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Correspondence between thermodynamics and inference.热力学与推理之间的对应关系。
Phys Rev E. 2019 May;99(5-1):052140. doi: 10.1103/PhysRevE.99.052140.
6
PCA meets RG.主成分分析(PCA)与随机梯度下降(RG)相遇。 (注:这里的RG不太明确具体所指,可能需要更多背景信息来准确翻译,上述是一种可能的推测性翻译。) 如果RG不是随机梯度下降,可追问明确其准确含义,以便给出更精准翻译。 如果按字面直接翻译:主成分分析(PCA)遇见随机梯度下降(RG) 。 你可按需选择。
J Stat Phys. 2017 May;167(3-4):462-475. doi: 10.1007/s10955-017-1770-6. Epub 2017 Mar 27.
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Blindfold learning of an accurate neural metric.盲态学习的准确神经指标。
Proc Natl Acad Sci U S A. 2018 Mar 27;115(13):3267-3272. doi: 10.1073/pnas.1718710115. Epub 2018 Mar 12.
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The structured 'low temperature' phase of the retinal population code.视网膜群体编码的结构化“低温”阶段。
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Signatures of criticality arise from random subsampling in simple population models.临界性的特征源自简单种群模型中的随机子抽样。
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