Beyond ℓ1 sparse coding in V1

Ilias Rentzeperis, Luca Calatroni, Laurent U Perrinet and Dario Prandi

PLOS Computational Biology, 2023, vol. 19, issue 9, 1-21

Abstract: Growing evidence indicates that only a sparse subset from a pool of sensory neurons is active for the encoding of visual stimuli at any instant in time. Traditionally, to replicate such biological sparsity, generative models have been using the ℓ1 norm as a penalty due to its convexity, which makes it amenable to fast and simple algorithmic solvers. In this work, we use biological vision as a test-bed and show that the soft thresholding operation associated to the use of the ℓ1 norm is highly suboptimal compared to other functions suited to approximating ℓp with 0 ≤ p

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pcbi00:1011459

DOI: 10.1371/journal.pcbi.1011459

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