Bias-free estimation of information content in temporally sparse neuronal activity
Fig 7
Bias-correction methods are applicable to quantifying information in recordings of neuronal activity from the visual cortex.
(A) Ca2+ imaging in the primary visual cortex (V1) of mice during the repeated presentation of drifting gratings. Data taken from the Allen Brain Observatory (see Methods) [42]. (B) Quantification of information carried about the direction of movement and temporal frequency of drifting gratings. Estimated SI as a function of the number of trials for the naïve calculation (blue), shuffle (black), SR (red), and SSR (magenta). (C) Estimated SI for the naïve calculation (blue), AE (orange), and BAE (green). Data in B-C show the mean across recorded cells from one example mouse. (D) Estimated SI (mean ± SEM) as a function of the number of trials obtained by the naïve calculation (blue), SR (red), SSR (magenta), AE (orange), and BAE (green). (E) The correction instability (mean ± SEM), defined as the standard deviation of the estimated SI across numbers of trials, for each method. SSR is more stable than SR (matched-pairs two-sided t-test(93), t = 33.8, p = 5.4·10−54) and BAE is more stable than AE (matched-pairs two-sided t-test(93), t = 25.3, p = 1.7·10−43). Data in D-E were averaged across N = 94 mice. (F) Estimated SI for the same individual neurons (10,225 cells pooled from 94 mice) for the BAE method versus the SSR method. Inset, discrepancy between the estimated SI using SSR versus BAE. ***p < 0.001.