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Efficient Sparse Coding in Early Sensory Processing: Lessons from Signal Recovery

Figure 5

RPCA on concatenated image sequences.

Left: The first 10 spatio-temporal filters of the low rank signal,L (rank ) are shown. Each filter is shown as a sequence of 16 frames of size 8×8 pixels. It can be seen that there are spatio-temporally separable as well as non-separable filters. All filters correspond to low frequency temporal or spatial changes Right: 10 selected spatio-temporal filters of the corresponding overcomplete sparse codes that display different spatio-temporal localization and dynamics. While many filters are similar to the presented ones, more training would be needed to achieve similar locality for the majority of filters at this input dimensionality (8×8×16) and level of overcompleteness (16×).

doi: https://doi.org/10.1371/journal.pcbi.1002372.g005