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Sensory perception originates from the responses of sensory neurons, which react to a collection of sensory signals linked to various physical attributes of a singular perceptual object. Unraveling how the brain extracts perceptual…

Neurons and Cognition · Quantitative Biology 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Jianfeng Feng

It has been repeatedly conjectured that the brain retrieves statistical regularities from stimuli. Here we present a new statistical approach allowing to address this conjecture. This approach is based on a new class of stochastic processes…

Neurons and Cognition · Quantitative Biology 2018-01-15 A. Duarte , R. Fraiman , A. Galves , G. Ost , C. Vargas

The activity of ensembles of simultaneously recorded neurons can be represented as a set of points in the space of firing rates. Even though the dimension of this space is equal to the ensemble size, neural activity can be effectively…

Neurons and Cognition · Quantitative Biology 2016-03-17 Luca Mazzucato , Alfredo Fontanini , Giancarlo La Camera

We derive a synaptic weight update rule for learning temporally precise spike train to spike train transformations in multilayer feedforward networks of spiking neurons. The framework, aimed at seamlessly generalizing error backpropagation…

Neural and Evolutionary Computing · Computer Science 2016-01-11 Arunava Banerjee

In spiking neural networks, the information is conveyed by the spike times, that depend on the intrinsic dynamics of each neuron, the input they receive and on the connections between neurons. In this article we study the Markovian nature…

Applications · Statistics 2012-11-07 Jonathan Touboul , Olivier Faugeras

Brain-computer interfaces are being explored for a wide variety of therapeutic applications. Typically, this involves measuring and analyzing continuous-time electrical brain activity via techniques such as electrocorticogram (ECoG) or…

Neural and Evolutionary Computing · Computer Science 2023-04-28 Yiming Ai , Bipin Rajendran

Repeated occurrences of serial firing sequences of a group of neurons with fixed time delays between neurons are observed in many experiments involving simultaneous recordings from multiple neurons. Such temporal patterns are potentially…

Neurons and Cognition · Quantitative Biology 2008-09-01 C. O. Diekman , P. S. Sastry , K. P. Unnikrishnan

Permutation tests have been proposed by Albert et al. (2015) to detect dependence between point processes, modeling in particular spike trains, that is the time occurrences of action potentials emitted by neurons. Our present work focuses…

Statistics Theory · Mathematics 2025-11-04 Josué Tchouanti , Éva Löcherbach , Patricia Reynaud-Bouret , Etienne Tanré

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

In this paper we consider the problem of detecting statistically significant sequential patterns in multi-neuronal spike trains. These patterns are characterized by ordered sequences of spikes from different neurons with specific delays…

Neurons and Cognition · Quantitative Biology 2008-08-28 P. S. Sastry , K. P. Unnikrishnan

We propose a numerical method to learn Maximum Entropy (MaxEnt) distributions with spatio-temporal constraints from experimental spike trains. This is an extension of two papers [10] and [4] who proposed the estimation of parameters where…

Neurons and Cognition · Quantitative Biology 2015-06-19 Hassan Nasser , Bruno Cessac

Relational representation learning has lately received an increase in interest due to its flexibility in modeling a variety of systems like interacting particles, materials and industrial projects for, e.g., the design of spacecraft. A…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Dominik Dold

Neuroscientists have enjoyed much success in understanding brain functions by constructing brain connectivity networks using data collected under highly controlled experimental settings. However, these experimental settings bear little…

Machine Learning · Statistics 2019-06-24 Kean Ming Tan , Junwei Lu , Tong Zhang , Han Liu

We present a theoretical study aiming at model fitting for sensory neurons. Conventional neural network training approaches are not applicable to this problem due to lack of continuous data. Although the stimulus can be considered as a…

Neurons and Cognition · Quantitative Biology 2017-09-28 R. Ozgur Doruk , Kechen Zhang

We study pairwise Ising models for describing the statistics of multi-neuron spike trains, using data from a simulated cortical network. We explore efficient ways of finding the optimal couplings in these models and examine their…

Quantitative Methods · Quantitative Biology 2009-05-21 Yasser Roudi , Joanna Tyrcha , John Hertz

Neural oscillations are considered to be brain-specific signatures of information processing and communication in the brain. They also reflect pathological brain activity in neurological disorders, thus offering a basis for diagnoses and…

Neurons and Cognition · Quantitative Biology 2023-10-23 Tena Dubcek , Debora Ledergerber , Jana Thomann , Giovanna Aiello , Marc Serra-Garcia , Lukas Imbach , Rafael Polania

In vitro neuronal culture is an important research platform in cellular and network neuroscience. However, neurons cultured on a homogeneous scaffold form dense, randomly connected networks and display excessively synchronized activity;…

Neurons and Cognition · Quantitative Biology 2024-05-30 Hakuba Murota , Hideaki Yamamoto , Nobuaki Monma , Shigeo Sato , Ayumi Hirano-Iwata

Quantification of information content and its temporal variation in intracellular calcium spike trains in neurons helps one understand functions such as memory, learning, and cognition. Such quantification could also reveal pathological…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Sathish Ande , Srinivas Avasarala , Jayanth R Regatti , Neha Pandey , Sarpras Swain , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Spiking neural networks (SNNs) with adaptive synapses reflect core properties of biological neural networks. Speech recognition, as an application involving audio coding and dynamic learning, provides a good test problem to study SNN…

Neural and Evolutionary Computing · Computer Science 2017-03-14 Amirhossein Tavanaei , Anthony S Maida

Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network,…

Machine Learning · Statistics 2018-02-15 Benjamin Mark , Garvesh Raskutti , Rebecca Willett
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