Optimal computation with attractor networks

Journal of Physiology, Paris
Peter E LathamAlexandre Pouget

Abstract

We investigate the ability of multi-dimensional attractor networks to perform reliable computations with noisy population codes. We show that such networks can perform computations as reliably as possible--meaning they can reach the Cramér-Rao bound--so long as the noise is small enough. "Small enough" depends on the properties of the noise, especially its correlational structure. For many correlational structures, noise in the range of what is observed in the cortex is sufficiently small that biologically plausible networks can compute optimally. We demonstrate that this result applies to computations that involve cues of varying reliability, such as the position of an object on the retina in bright versus dim light.

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Jul 10, 2004·Journal of Physiology, Paris·Peter E LathamAlexandre Pouget

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Citations

Jan 15, 2005·Biological cybernetics·Wei Wang, Jean-Jacques E Slotine
May 19, 2005·Biological cybernetics·Máté LengyelPéter Erdi
Jul 20, 2005·Biological cybernetics·Heiko HoffmannRalf Möller
Sep 13, 2011·Nature Neuroscience·Sameet Sreenivasan, Ila Fiete
Jul 16, 2013·Nature Neuroscience·Kijung YoonIla R Fiete
Oct 11, 2012·Proceedings of the National Academy of Sciences of the United States of America·Yoram Burak, Ila R Fiete
Nov 30, 2007·Neural Computation·F KlamA Pouget
Nov 19, 2011·Neural Computation·Sukbin Lim, Mark S Goldman
Jul 8, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Timothy Verstynen, Philip N Sabes
Apr 3, 2012·Annual Review of Neuroscience·James J Knierim, Kechen Zhang
Jul 8, 2008·Brain Research·Wei Ji Ma, Alexandre Pouget
Nov 16, 2004·Trends in Neurosciences·David C Knill, Alexandre Pouget
Aug 14, 2012·Current Opinion in Neurobiology·Jan Drugowitsch, Alexandre Pouget
Dec 27, 2008·Neuron·Jeffrey M BeckAlexandre Pouget
Jul 10, 2004·Journal of Physiology, Paris·Peter E LathamAlexandre Pouget
Jan 20, 2018·Physical Review. E·Zhuocheng XiaoLouis Tao
Jul 14, 2016·F1000Research·Paul Miller
May 14, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Thomas KüstnerSergios Gatidis
Apr 29, 2020·Neural Computation·Weishun ZhongArvind Murugan
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T Toyoizumi, L F Abbott
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Masafumi OizumiMasato Okada

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