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#powerlaw — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #powerlaw, aggregated by home.social.

  1. The mysterious maths at work in the Tour de France
    If you look at where previous winners of the world's most famous cycling race are from, a surprisingly common pattern emerges.

    #Zipf #PowerLaw
    bbc.com/future/article/2024071

  2. @darioringach This preprint is an excellent read on the #adaptation of the #firing rate of primary #visual #cortex neurons - showing a #powerlaw scaling between the ratio of #probabilities and the ratio of observed firing rates, and also relative invariance of directional scatter (though I am puzzled by the use of cosine similarity instead of more standard distances between distributions...).

    An interesting result is that the log firing rate is linearly proportional to the negative surprise of a stimulus, which will certainly bring a smile to proponents of #probabilistic representations in the brain or #predictive processing...

    The study extends these observations to more ecological distributions, but - as far as I understand it - still samples individual orientations. One can predict that this would extend to showing textures with different levels of anisotropy (as defined by the tuple $(n_x, n_y)$ in the Ringach, 2002 paper, for example), creating a stimulus set ${ s_i }$ that better covers the space of visual features.

    #computationalneuroscience

  3. 6/10) We find that activations across different layers have an #eigenspectrum that follows a #powerlaw. Furthermore, well-defined intervals exist for the power law decay coefficient, α, where models exhibit excellent #OoD #generalization! 📈🎉🥳

    #AI #ML #deeplearning #neuroscience

  4. Why can’t I remember? Model may show how recall can fail - Enlarge (credit: Serdar Acar / EyeEm)
    Physicists can create serious mathematical models of stuff ... more: arstechnica.com/?p=1648447 #statisticalphysics #memoryrecall #powerlaw #science