Characterization of minimum error linear coding with sensory and neural noise.

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 Comput

journal_title

Neural computation

authors

Doi E,Lewicki MS

doi

10.1162/NECO_a_00181

subject

Has Abstract

pub_date

2011-10-01 00:00:00

pages

2498-510

issue

10

eissn

0899-7667

issn

1530-888X

journal_volume

23

pub_type

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