Abstract:
:Robust coding has been proposed as a solution to the problem of minimizing decoding error in the presence of neural noise. Many real-world problems, however, have degradation in the input signal, not just in neural representations. This generalized problem is more relevant to biological sensory coding where internal noise arises from limited neural precision and external noise from distortion of sensory signal such as blurring and phototransduction noise. In this note, we show that the optimal linear encoder for this problem can be decomposed exactly into two serial processes that can be optimized separately. One is Wiener filtering, which optimally compensates for input degradation. The other is robust coding, which best uses the available representational capacity for signal transmission with a noisy population of linear neurons. We also present spectral analysis of the decomposition that characterizes how the reconstruction error is minimized under different input signal spectra, types and amounts of degradation, degrees of neural precision, and neural population sizes.
journal_name
Neural Computjournal_title
Neural computationauthors
Doi E,Lewicki MSdoi
10.1162/NECO_a_00181subject
Has Abstractpub_date
2011-10-01 00:00:00pages
2498-510issue
10eissn
0899-7667issn
1530-888Xjournal_volume
23pub_type
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