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The spatial distribution of neuronal cells is an important requirement for achieving proper neuronal function in several parts of the nervous system of most animals. For instance, specific distribution of photoreceptors and related neuronal…

Neurons and Cognition · Quantitative Biology 2007-09-19 Luciano da Fontoura Costa , Fernando Rocha , Silene Maria Araujo de Lima

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

Neurons and Cognition · Quantitative Biology 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

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

Determining how the brain stores information is one of the most pressing problems in neuroscience. In many instances, the collection of stimuli for a given neuron can be modeled by a convex set in $\mathbb{R}^d$. Combinatorial objects known…

Combinatorics · Mathematics 2019-05-29 R. Amzi Jeffs , Mohamed Omar , Natchanon Suaysom , Aleina Wachtel , Nora Youngs

An important open question in computational neuroscience is how various spatially tuned neurons, such as place cells, are used to support the learning of reward-seeking behavior of an animal. Existing computational models either lack…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yuanxiang Gao

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

Over repeat presentations of the same stimulus, sensory neurons show variable responses. This "noise" is typically correlated between pairs of cells, and a question with rich history in neuroscience is how these noise correlations impact…

Neurons and Cognition · Quantitative Biology 2015-06-16 Yu Hu , Joel Zylberberg , Eric Shea-Brown

Recent advances in experimental techniques enable the simultaneous recording of activity from thousands of neurons in the brain, presenting both an opportunity and a challenge: to build meaningful, scalable models of large neural…

Biological Physics · Physics 2025-08-05 Luca Di Carlo , Francesca Mignacco , Christopher W. Lynn , William Bialek

A fundamental characteristic of natural language is the high rate at which speakers produce novel expressions. Because of this novelty, a heavy-tail of rare events accounts for a significant amount of the total probability mass of…

Computation and Language · Computer Science 2022-03-25 Benjamin LeBrun , Alessandro Sordoni , Timothy J. O'Donnell

Distributions of neuronal activity within cortical circuits are often found to display highly skewed shapes with many neurons emitting action potentials at low or vanishing rates, while some are active at high rates. Theoretical studies…

Neurons and Cognition · Quantitative Biology 2024-12-20 Alexander Schmidt , Peter Hiemeyer , Fred Wolf

Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for general non-renewal processes to calculate the interval and…

Biological Physics · Physics 2011-05-23 Farzad Farkhooi , Eilif Muller , Martin P. Nawrot

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

Inspired by the robustness and efficiency of sparse representation in sparse coding based image restoration models, we investigate the sparsity of neurons in deep networks. Our method structurally enforces sparsity constraints upon hidden…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Yuchen Fan , Jiahui Yu , Yiqun Mei , Yulun Zhang , Yun Fu , Ding Liu , Thomas S. Huang

Multi-task learning (MTL) aims to improve generalization performance by learning multiple related tasks simultaneously. While sometimes the underlying task relationship structure is known, often the structure needs to be estimated from data…

In order to describe the firing activity of a homogenous assembly of neurons, we consider time elapsed models, which give mathematical descriptions of the probability density of neurons structured by the distribution of times elapsed since…

Analysis of PDEs · Mathematics 2016-12-28 S Mischler , Q Weng

The high-level concepts that a neural network uses to perform computation need not be aligned to individual neurons (Smolensky, 1986). Language model interpretability research has thus turned to techniques such as \textit{sparse…

Computation and Language · Computer Science 2026-02-02 Aryaman Arora , Zhengxuan Wu , Jacob Steinhardt , Sarah Schwettmann

Distributional regression aims to find the best candidate in a given parametric family of conditional distributions to model a given dataset. As each candidate in the distribution family can be identified by the corresponding distribution…

Statistics Theory · Mathematics 2026-05-18 Gitte Kremling , Gerhard Dikta

Cell ensembles, originally proposed by Donald Hebb in 1949, are subsets of synchronously firing neurons and proposed to explain basic firing behavior in the brain. Despite having been studied for many years no conclusive evidence has been…

Neurons and Cognition · Quantitative Biology 2016-06-23 Sven Peter , Daniel Durstewitz , Ferran Diego , Fred A. Hamprecht

"Sparse" neural networks, in which relatively few neurons or connections are active, are common in both machine learning and neuroscience. Whereas in machine learning, "sparsity" is related to a penalty term that leads to some connecting…

Neural and Evolutionary Computing · Computer Science 2021-08-19 Luca Manneschi , Andrew C. Lin , Eleni Vasilaki

Striatal projection neurons form a sparsely-connected inhibitory network, and this arrangement may be essential for the appropriate temporal organization of behavior. Here we show that a simplified, sparse inhibitory network of…

Neurons and Cognition · Quantitative Biology 2016-06-29 David Angulo-Garcia , Joshua D. Berke , Alessandro Torcini
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