Adaptation is used by biological sensory systems to respond to a wide range of environmental signals, by adapting their response properties to the statistics of the stimulus in order to maximize information transmission. We derive rules of optimal adaptation to changes in the mean and variance of a continuous stimulus in terms of Bayesian filters, and map them onto stochastic equations that couple the state of the environment to an internal variable controling the response function. We calculate numerical and exact results for the speed and accuracy of adaptation, and its impact on information transmission. We find that, in the regime of efficient adaptation, the speed of adaptation scales sublinearly with the rate of change of the environment. Finally, we exploit the mathematical equivalence between adaptation and stochastic thermodynamics to quantitatively relate adaptation to the irreversibility of the adaptation time course, defined by the rate of entropy production. Our results suggest a means to empirically quantify adaptation in a model-free and non-parametric way.
Sensory robustness through top-down feedback and neural stochasticity in recurrent vision models
Hertie Institute for Clinical Brain Research, University of Tübingen（图宾根大学赫蒂临床脑研究所）；University of Tübingen（图宾根大学）；Center for Bionic Intelligence Tübingen Stuttgart (BITS)（图宾根-斯图加特仿生智能中心）；Institute of Cognitive Sciences and Technologies, National Research Council（国家研究委员会认知科学与技术研究所）；Institute of Neurology, University College London（伦敦大学学院神经病学研究所）；German Center for Mental Health (DZPG)（德国心理健康中心）
Adaptive whitening with fast gain modulation and slow synaptic plasticity
Center for Computational Neuroscience, Flatiron Institute（Flatiron Institute计算神经科学中心）；Center for Neural Science, New York University（纽约大学神经科学中心）；Neuroscience Institute, NYU Langone Medical School（纽约大学朗格尼医学院神经科学研究所）
