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The sigmoidal tuning curve that maximizes the mutual information for a Poisson neuron, or population of Poisson neurons, is obtained. The optimal tuning curve is found to have a discrete structure that results in a quantization of the input…

Neurons and Cognition · Quantitative Biology 2009-09-24 Alexander P. Nikitin , Nigel G. Stocks , Robert P. Morse , Mark D. McDonnell

Achieving fast and reliable temporal signal encoding is crucial for low-power, always-on systems. While current spike-based encoding algorithms rely on complex networks or precise timing references, simple and robust encoding models can be…

Neural and Evolutionary Computing · Computer Science 2025-04-23 Filippo Costa , Chiara De Luca

Synaptic integration is a prominent aspect of neuronal information processing. The detailed mechanisms that modulate synaptic inputs determine the computational properties of any given neuron. We study a simple model for the summation of…

Neurons and Cognition · Quantitative Biology 2021-07-15 Adrian Joseph Alva , Harjinder Singh

I will show that there is a deep relation between error-correction codes and certain mathematical models of spin glasses. In particular minimum error probability decoding is equivalent to finding the ground state of the corresponding spin…

Condensed Matter · Physics 2016-08-31 Nicolas Sourlas

Spike Timing Dependent Plasticity is form of learning that has been demonstrated in real cortical tissue, but attempts to use it for artificial systems have not produced good results. This paper seeks to remedy this with two significant…

Neural and Evolutionary Computing · Computer Science 2020-07-01 Simon Davidson , Stephen B. Furber , Oliver Rhodes

Sensory neurons give highly variable responses to stimulation, which can limit the amount of stimulus information available to downstream circuits. Much work has investigated the factors that affect the amount of information encoded in…

Neurons and Cognition · Quantitative Biology 2017-04-20 Joel Zylberberg , Alexandre Pouget , Peter E. Latham , Eric Shea-Brown

There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able to remain in it under perturbations. In this work, we address the question of robustness of critical systems to…

Cellular Automata and Lattice Gases · Physics 2022-09-14 Sidney Pontes-Filho , Pedro Lind , Stefano Nichele

The synaptic connectivity of cortex is plastic, with experience shaping the ongoing interactions between neurons. Theoretical studies of spike timing-dependent plasticity (STDP) have focused on either just pairs of neurons or large-scale…

Neurons and Cognition · Quantitative Biology 2016-08-02 Gabriel Koch Ocker , Brent Doiron

To date a number of studies have shown that receptive field shapes of early sensory neurons can be reproduced by optimizing coding efficiency of natural stimulus ensembles. A still unresolved question is whether the efficient coding…

Neurons and Cognition · Quantitative Biology 2014-03-18 Wiktor Mlynarski

Information needs to be appropriately encoded to be reliably transmitted over physical media. Similarly, neurons have their own codes to convey information in the brain. Even though it is well-known that neurons exchange information using a…

Neurons and Cognition · Quantitative Biology 2018-10-18 Chris G. Antonopoulos , Ezequiel Bianco-Martinez , Murilo S. Baptista

Neural circuits exhibit remarkable computational flexibility, enabling adaptive responses to noisy and ever-changing environmental cues. A fundamental question in neuroscience concerns how a wide range of behaviors can emerge from a…

Statistical Mechanics · Physics 2025-09-18 Giacomo Barzon , Daniel M. Busiello , Giorgio Nicoletti

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

Latency reduction of postsynaptic spikes is a well-known effect of Synaptic Time-Dependent Plasticity. We expand this notion for long postsynaptic spike trains, showing that, for a fixed input spike train, STDP reduces the number of…

Neurons and Cognition · Quantitative Biology 2019-07-26 Pau Vilimelis Aceituno , Masud Ehsani , Jürgen Jost

A complete single-neuron model must correctly reproduce the firing of spikes and bursts. We present a study of a simplified model of deep pyramidal cells of the cortex with active dendrites. We hypothesized that we can model the soma and…

Neurons and Cognition · Quantitative Biology 2013-12-04 Richard Naud , Brice Bathellier , Wulfram Gerstner

The brain is believed to implement probabilistic reasoning and to represent information via population, or distributed, coding. Most previous population-based probabilistic (PPC) theories share several basic properties: 1) continuous-valued…

Neurons and Cognition · Quantitative Biology 2018-02-23 Gerard Rinkus

An increasing body of evidence suggests that the trial-to-trial variability of spiking activity in the brain is not mere noise, but rather the reflection of a sampling-based encoding scheme for probabilistic computing. Since the precise…

A core challenge for the brain is to process information across various timescales. This could be achieved by a hierarchical organization of temporal processing through intrinsic mechanisms (e.g., recurrent coupling or adaptation), but…

Neurons and Cognition · Quantitative Biology 2024-01-18 Lucas Rudelt , Daniel González Marx , F. Paul Spitzner , Benjamin Cramer , Johannes Zierenberg , Viola Priesemann

Two elements of neural information processing have primarily been proposed: firing rate and spike timing of neurons. In the case of synaptic plasticity, although spike-timing-dependent plasticity (STDP) depending on presynaptic and…

Neurons and Cognition · Quantitative Biology 2020-01-14 Katsuhiko Hata , Osamu Araki , Osamu Yokoi , Tatsumi Kusakabe , Yoshio Yamamoto , Susumu Ito , Tetsuro Nikuni

The brain can efficiently learn a wide range of tasks, motivating the search for biologically inspired learning rules for improving current artificial intelligence technology. Most biological models are composed of point neurons, and cannot…

Neurons and Cognition · Quantitative Biology 2026-04-13 Cristiano Capone , Cosimo Lupo , Paolo Muratore , Pier Stanislao Paolucci

Brains can process sensory information from different modalities at astonishing speed; this is surprising as the integration of inputs through the membrane of each individual neuron already causes a delayed response. Neuronal recordings…

Neurons and Cognition · Quantitative Biology 2024-08-20 Simon Brandt , Mihai Alexandru Petrovici , Walter Senn , Katharina Anna Wilmes , Federico Benitez