Towards a Theory of Early Visual Processing
Towards a Theory of Early Visual Processing
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DOI：
10.1162/neco.1990.2.3.308
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发表时间：
1990-09-01
影响因子：
2.9
通讯作者：
Redlich, A. Norman
中科院分区：
文献类型：
--
作者：
Atick, Joseph J.;Redlich, A. Norman
我们提出了哺乳动物视觉通路早期处理的理论。该理论是用信息论语言表述的，并假设这种处理的目标是重新编码，以减少受指定平均信息保留量约束的“广义冗余”。在无噪声的限制下，该理论等同于巴洛的冗余减少假设，但当存在噪声时，它会导致非常不同的计算策略。寻找最佳编码的一种易于处理的方法是在连续阶段中解决问题，其中在每个阶段都在有限类别的传递函数内执行优化。我们明确地找到了小细胞视网膜处理所属的编码类别的解决方案，即线性和非发散变换。该解与所有信噪比水平上实验观察到的传递函数一致。
We propose a theory of the early processing in the mammalian visual pathway. The theory is formulated in the language of information theory and hypothesizes that the goal of this processing is to recode in order to reduce a "generalized redundancy" subject to a constraint that specifies the amount of average information preserved. In the limit of no noise, this theory becomes equivalent to Barlow's redundancy reduction hypothesis, but it leads to very different computational strategies when noise is present. A tractable approach for finding the optimal encoding is to solve the problem in successive stages where at each stage the optimization is performed within a restricted class of transfer functions. We explicitly find the solution for the class of encodings to which the parvocellular retinal processing belongs, namely linear and nondivegent transformations. The solution shows agreement with the experimentally observed transfer functions at all levels of signal to noise.