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Simultaneously recorded neurons exhibit correlations whose underlying causes are not known. Here, we use a population of threshold neurons receiving correlated inputs to model neural population recordings. We show analytically that small…

Neurons and Cognition · Quantitative Biology 2010-09-20 Jakob H Macke , Manfred Opper , Matthias Bethge

Empirical evidence demonstrates that every region of the neocortex represents information using sparse activity patterns. This paper examines Sparse Distributed Representations (SDRs), the primary information representation strategy in…

Neurons and Cognition · Quantitative Biology 2015-03-26 Subutai Ahmad , Jeff Hawkins

We consider the problem of estimating a sparse multi-response regression function, with an application to expression quantitative trait locus (eQTL) mapping, where the goal is to discover genetic variations that influence gene-expression…

Machine Learning · Statistics 2012-10-01 Seyoung Kim , Eric P. Xing

Maximum entropy models are the least structured probability distributions that exactly reproduce a chosen set of statistics measured in an interacting network. Here we use this principle to construct probabilistic models which describe the…

Neurons and Cognition · Quantitative Biology 2014-01-28 Gašper Tkačik , Olivier Marre , Dario Amodei , Elad Schneidman , William Bialek , Michael J Berry

When an action potential is transmitted to a postsynaptic neuron, a small change in the postsynaptic neuron's membrane potential occurs. These small changes, known as a postsynaptic potentials (PSPs), are highly variable, and current models…

Neurons and Cognition · Quantitative Biology 2015-07-14 Laurence Aitchison , Peter E. Latham

The distribution of bases spacing in human genome was investigated. An analysis of the frequency of occurrence in the human genome of different sequence lengths flanked by one type of nucleotide was carried out showing that the distribution…

Other Quantitative Biology · Quantitative Biology 2019-04-18 Andrzej Z. Górski , Monika Piwowar

Most neurons in peripheral sensory pathways initially respond vigorously when a preferred stimulus is presented, but adapt as stimulation continues. It is unclear how this phenomenon affects stimulus representation in the later stages of…

Neurons and Cognition · Quantitative Biology 2012-10-29 Farzad Farkhooi , Anja Froese , Eilif Muller , Randolf Menzel , Martin P. Nawrot

Various animals, including humans, have been suggested to perform Bayesian inferences to handle noisy, time-varying external information. In performing Bayesian inference, the prior distribution must be shaped by sampling noisy external…

Neurons and Cognition · Quantitative Biology 2022-10-25 Kohei Ichikawa , Kunihiko Kaneko

This paper studies the joint user association and resource allocation in heterogeneous networks (HetNets) from a novel perspective, motivated by and generalizing the idea of fractional frequency reuse. By treating the multi-cell multi-user…

Networking and Internet Architecture · Computer Science 2015-11-04 Quan Kuang , Wolfgang Utschick , Andreas Dotzler

In a range of genomic applications, it is of interest to quantify the evidence that the signal at site~$i$ is active given conditionally independent replicate observations summarized by the sample mean and variance $(\bar Y, s^2)$ at each…

Statistics Theory · Mathematics 2023-12-20 Micol Tresoldi , Daniel Xiang , Peter McCullagh

The $\beta$-model is a powerful tool for modeling large and sparse networks driven by degree heterogeneity, where many network models become infeasible due to computational challenge and network sparsity. However, existing estimation…

Methodology · Statistics 2025-06-27 Meijia Shao , Yu Zhang , Qiuping Wang , Yuan Zhang , Jing Luo , Ting Yan

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

Multi-electrode arrays covering several square millimeters of neural tissue provide simultaneous access to population signals such as extracellular potentials and spiking activity of one hundred or more individual neurons. The…

Neurons and Cognition · Quantitative Biology 2024-11-11 Johanna Senk , Espen Hagen , Sacha J. van Albada , Markus Diesmann

Neurons in the brain represent information in their collective activity. The fidelity of this neural population code depends on whether and how variability in the response of one neuron is shared with other neurons. Two decades of studies…

Neurons and Cognition · Quantitative Biology 2021-02-02 Rava Azeredo da Silveira , Fred Rieke

The timing of individual neuronal spikes is essential for biological brains to make fast responses to sensory stimuli. However, conventional artificial neural networks lack the intrinsic temporal coding ability present in biological…

Neural and Evolutionary Computing · Computer Science 2020-11-18 Iulia M. Comsa , Krzysztof Potempa , Luca Versari , Thomas Fischbacher , Andrea Gesmundo , Jyrki Alakuijala

The principle of maximum entropy provides a useful method for inferring statistical mechanics models from observations in correlated systems, and is widely used in a variety of fields where accurate data are available. While the assumptions…

Neurons and Cognition · Quantitative Biology 2017-06-02 Ulisse Ferrari , Tomoyuki Obuchi , Thierry Mora

The representation of images in the brain is known to be sparse. That is, as neural activity is recorded in a visual area ---for instance the primary visual cortex of primates--- only a few neurons are active at a given time with respect to…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Laurent Perrinet

The sparse coding algorithm has served as a model for early processing in mammalian vision. It has been assumed that the brain uses sparse coding to exploit statistical properties of the sensory stream. We hypothesize that sparse coding…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Gerrit A. Ecke , Harald M. Papp , Hanspeter A. Mallot

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

While the sparse coding principle can successfully model information processing in sensory neural systems, it remains unclear how learning can be accomplished under neural architectural constraints. Feasible learning rules must rely solely…

Machine Learning · Computer Science 2017-05-23 Tsung-Han Lin
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