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Understanding how systems respond to external perturbations is fundamental to statistical physics. For systems far from equilibrium, a general framework for response remains elusive. While progress has been made on the linear response of…

Statistical Mechanics · Physics 2026-03-04 Ruicheng Bao , Shiling Liang

Neural networks encode information through their collective spiking activity in response to external stimuli. This population response is noisy and strongly correlated, with complex interplay between correlations induced by the stimulus,…

Neurons and Cognition · Quantitative Biology 2022-11-28 Gabriel Mahuas , Olivier Marre , Thierry Mora , Ulisse Ferrari

Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent…

Neurons and Cognition · Quantitative Biology 2013-06-19 Kanaka Rajan , Olivier Marre , Gašper Tkačik

Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

Neurons and Cognition · Quantitative Biology 2016-10-31 Eugenio Urdapilleta

In many animal sensory pathways, the transformation from external stimuli to spike trains is essentially deterministic. In this context, a new mathematical framework for coding and reconstruction, based on a biologically plausible model of…

Neurons and Cognition · Quantitative Biology 2019-08-01 Anik Chattopadhyay , Arunava Banerjee

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

Neurons and Cognition · Quantitative Biology 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

At the single-neuron level, precisely timed spikes can either constitute firing-rate codes or spike-pattern codes that utilize the relative timing between consecutive spikes. There has been little experimental support for the hypothesis…

Neurons and Cognition · Quantitative Biology 2009-12-18 Hugo Gabriel Eyherabide , Ariel Rokem , Andreas V. M. Herz , Ines Samengo

The number of times that we can access a system to extract information via quantum metrology is always finite, and possibly small, and realistic amounts of prior knowledge tend to be moderate. Thus theoretical consistency demands a…

Quantum Physics · Physics 2021-12-02 Jesús Rubio

A classical view of neural coding relies on temporal firing synchrony among functional groups of neurons; however the underlying mechanism remains an enigma. Here we experimentally demonstrate a mechanism where time-lags among neuronal…

Neurons and Cognition · Quantitative Biology 2013-10-31 Roni Vardi , Amir Goldental , Shoshana Guberman , Alexander Kalmanovich , Hagar Marmari , Ido Kanter

The problem of deciphering how low-level patterns (action potentials in the brain, amino acids in a protein, etc.) drive high-level biological features (sensorimotor behavior, enzymatic function) represents the central challenge of…

Quantitative Methods · Quantitative Biology 2019-11-21 Damián G. Hernández , Samuel J. Sober , Ilya Nemenman

Neural noise sets a limit to information transmission in sensory systems. In several areas, the spiking response (to a repeated stimulus) has shown a higher degree of regularity than predicted by a Poisson process. However, a simple model…

Neurons and Cognition · Quantitative Biology 2018-01-08 Ulisse Ferrari , Stephane Deny , Olivier Marre , Thierry Mora

We develop asymptotic approximations that can be applied to sequential estimation and inference problems, adaptive randomized controlled trials, and related settings. In batched adaptive settings where the decision at one stage can affect…

Econometrics · Economics 2025-02-25 Keisuke Hirano , Jack R. Porter

Sensory systems across all modalities and species exhibit adaptation to continuously changing input statistics. Individual neurons have been shown to modulate their response gains so as to maximize information transmission in different…

Neurons and Cognition · Quantitative Biology 2023-06-01 Lyndon R. Duong , Colin Bredenberg , David J. Heeger , Eero P. Simoncelli

Reliable determination of sensory thresholds is the holy grail of signal detection theory. However, there exists no gold standard for the estimation of thresholds based on neurophysiological parameters, although a reliable estimation method…

Quantitative Methods · Quantitative Biology 2019-10-01 Achim Schilling , Richard Gerum , Patrick Krauss , Claus Metzner , Konstantin Tziridis , Holger Schulze

Agents acting in the natural world aim at selecting appropriate actions based on noisy and partial sensory observations. Many behaviors leading to decision mak- ing and action selection in a closed loop setting are naturally phrased within…

Machine Learning · Statistics 2014-06-30 Alex Susemihl , Ron Meir , Manfred Opper

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

Variability in neural responses is an ubiquitous phenomenon in neurons, usually modeled with stochastic differential equations. In particular, stochastic integrate-and-fire models are widely used to simplify theoretical studies. The…

Neurons and Cognition · Quantitative Biology 2009-06-12 Eugenio Urdapilleta , Ines Samengo

We have developed a sparse mathematical representation of speech that minimizes the number of active model neurons needed to represent typical speech sounds. The model learns several well-known acoustic features of speech such as harmonic…

Neurons and Cognition · Quantitative Biology 2012-09-25 Nicole L. Carlson , Vivienne L. Ming , Michael R. DeWeese

Experiments that study neural encoding of stimuli at the level of individual neurons typically choose a small set of features present in the world --- contrast and luminance for vision, pitch and intensity for sound --- and assemble a…

Machine Learning · Statistics 2016-11-22 Xin , Chen , Jeffrey M Beck , John M Pearson

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn