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The brain constructs population codes to represent stimuli through widely distributed patterns of activity across neurons. An important figure of merit of population codes is how much information about the original stimulus can be decoded…

Neurons and Cognition · Quantitative Biology 2020-08-04 Jimmy H. J. Kim , Ila Fiete , David J. Schwab

Biological systems display impressive capabilities in effectively responding to environmental signals in real time. There is increasing evidence that organisms may indeed be employing near optimal Bayesian calculations in their…

Neurons and Cognition · Quantitative Biology 2010-02-12 Steve Yaeli , Ron Meir

The mammalian brain is a metabolically expensive device, and evolutionary pressures have presumably driven it to make productive use of its resources. For sensory areas, this concept has been expressed more formally as an optimality…

Neurons and Cognition · Quantitative Biology 2016-03-02 Deep Ganguli , Eero P. Simoncelli

Neural decoding may be formulated as dynamic state estimation (filtering) based on point process observations, a generally intractable problem. Numerical sampling techniques are often practically useful for the decoding of real neural data.…

Neurons and Cognition · Quantitative Biology 2019-01-15 Yuval Harel , Ron Meir , Manfred Opper

Neurons in the nervous system convey information to higher brain regions by the generation of spike trains. An important question in the field of computational neuroscience is how these sensory neurons encode environmental information in a…

Neurons and Cognition · Quantitative Biology 2013-09-13 Alex Susemihl , Ron Meir , Manfred Opper

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

The efficient coding theory postulates that single cells in a neuronal population should be optimally configured to efficiently encode information about a stimulus subject to biophysical constraints. This poses the question of how multiple…

Neurons and Cognition · Quantitative Biology 2023-08-11 Shuai Shao , Markus Meister , Julijana Gjorgjieva

Information processing in neural populations is inherently constrained by metabolic resource limits and noise properties, with dynamics that are not accurately described by existing mathematical models. Recent data, for example, shows that…

Neural and Evolutionary Computing · Computer Science 2026-02-16 Yi-Chun Hung , Gregory Schwartz , Emily A. Cooper , Emma Alexander

Neuromorphic applications emulate the processing performed by the brain by using spikes as inputs instead of time-varying analog stimuli. Therefore, these time-varying stimuli have to be encoded into spikes, which can induce important…

Neural and Evolutionary Computing · Computer Science 2024-12-30 Ahmad El Ferdaoussi , Eric Plourde , Jean Rouat

Motivated by recent studies of population coding in theoretical neuroscience, we examine the optimality of a recently described form of stochastic resonance known as suprathreshold stochastic resonance, which occurs in populations of noisy…

Statistical Mechanics · Physics 2007-07-02 Mark D. McDonnell , Nigel G. Stocks , Charles E. M. Pearce , Derek Abbott

In this work we explore encoding strategies learned by statistical models of sensory coding in noisy spiking networks. Early stages of sensory communication in neural systems can be viewed as encoding channels in the information-theoretic…

Neurons and Cognition · Quantitative Biology 2020-06-30 M. E. Rule , M. Sorbaro , M. H. Hennig

Minimum Bayes Risk (MBR) decoding optimizes output selection by maximizing the expected utility value of an underlying human distribution. While prior work has shown the effectiveness of MBR decoding through empirical evaluation, few…

Computation and Language · Computer Science 2025-06-23 Yuki Ichihara , Yuu Jinnai , Kaito Ariu , Tetsuro Morimura , Eiji Uchibe

Here, we consider the open issue of how the energy efficiency of neural information transmission process in a general neuronal array constrains the network size, and how well this network size ensures the neural information being…

Neurons and Cognition · Quantitative Biology 2015-07-31 Lianchun Yu , Chi Zhang , Liwei Liu , Yuguo Yu

Recurrently connected neuron populations play key roles in sensory perception and memory storage across various brain regions. While these populations are often assumed to encode information through firing rates, this method becomes…

Neurons and Cognition · Quantitative Biology 2025-09-05 Mauricio Girardi-Schappo , Leonard Maler , André Longtin

The adaptation of neural codes to the statistics of their environment is well captured by efficient coding approaches. Here we solve an inverse problem: characterizing the objective and constraint functions that efficient codes appear to be…

Neurons and Cognition · Quantitative Biology 2021-02-25 Luke Rast , Jan Drugowitsch

Sensory information propagates through successive processing stages in the brain, where synaptic weight patterns between stations determine how downstream neurons decode information from upstream populations. Although optimized synaptic…

Neurons and Cognition · Quantitative Biology 2026-02-26 Ori Hendler , Ronen Segev , Maoz Shamir

A general method for deriving maximally informative sigmoidal tuning curves for neural systems with small normalized variability is presented. The optimal tuning curve is a nonlinear function of the cumulative distribution function of the…

Neurons and Cognition · Quantitative Biology 2008-08-02 Mark D. McDonnell , Nigel G. Stocks

We investigate the theoretical foundations of a recently introduced entropy-based formulation of weighted least squares for the approximation of overdetermined linear systems, motivated by robust data fitting in the presence of sparse gross…

Numerical Analysis · Mathematics 2026-03-17 Felice Iavernaro , Monica Lazzo , Lorenzo Pisani

The aim of this paper is to design a band-limited optimal input with power constraints for identifying a linear multi-input multi-output system. It is assumed that the nominal system parameters are specified. The key idea is to use the…

Systems and Control · Computer Science 2017-06-14 Shravan Mohan , Mithun Im , Bharath Bhikkaji

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad
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