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Recent years have seen a surge in research on dynamic graph representation learning, which aims to model temporal graphs that are dynamic and evolving constantly over time. However, current work typically models graph dynamics with…

Neural and Evolutionary Computing · Computer Science 2023-05-19 Jintang Li , Zhouxin Yu , Zulun Zhu , Liang Chen , Qi Yu , Zibin Zheng , Sheng Tian , Ruofan Wu , Changhua Meng

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

Neural and Evolutionary Computing · Computer Science 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

Neurons and Cognition · Quantitative Biology 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly

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

Modeling and predicting temporal point processes (TPPs) is critical in domains such as neuroscience, epidemiology, finance, and social sciences. We introduce the Spiking Dynamic Graph Network (SDGN), a novel framework that leverages the…

Machine Learning · Computer Science 2025-04-03 Biswadeep Chakraborty , Hemant Kumawat , Beomseok Kang , Saibal Mukhopadhyay

The ability to synthesize realistic patterns of neural activity is crucial for studying neural information processing. Here we used the Generative Adversarial Networks (GANs) framework to simulate the concerted activity of a population of…

Neurons and Cognition · Quantitative Biology 2018-04-18 Manuel Molano-Mazon , Arno Onken , Eugenio Piasini , Stefano Panzeri

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

A main concern in cognitive neuroscience is to decode the overt neural spike train observations and infer latent representations under neural circuits. However, traditional methods entail strong prior on network structure and hardly meet…

Neurons and Cognition · Quantitative Biology 2019-11-22 Zhijie Chen , Junchi Yan , Longyuan Li , Xiaokang Yang

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

Background: Current neuronal monitoring techniques, such as calcium imaging and multi-electrode arrays, enable recordings of spiking activity from hundreds of neurons simultaneously. Of primary importance in systems neuroscience is the…

Neurons and Cognition · Quantitative Biology 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

Spiking neural networks (SNNs) are investigated as biologically inspired models of neural computation, distinguished by their computational capability and energy efficiency due to precise spiking times and sparse spikes with event-driven…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Mingqing Xiao , Yixin Zhu , Di He , Zhouchen Lin

This paper addresses two questions in the context of neuronal networks dynamics, using methods from dynamical systems theory and statistical physics: (i) How to characterize the statistical properties of sequences of action potentials…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 B. Cessac , H. Rostro , J. C. Vasquez , T. Viéville

This article contains two main theoretical results on neural spike train models. The first assumes that the spike train is modeled as a counting or point process on the real line where the conditional intensity function is a product of a…

Statistics Theory · Mathematics 2007-06-13 Hock Peng Chan , Wei-Liem Loh

We construct a model that predicts the statistical properties of spike trains generated by a sensory neuron. The model describes the combined effects of the neuron's intrinsic properties, the noise in the surrounding, and the external…

Biological Physics · Physics 2009-10-31 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck

Spiking Neural Networks (SNNs) are a promising framework for event-driven temporal processing. Prior work has improved temporal modeling through richer neuron dynamics and network-level mechanisms such as recurrence and delays, but it…

Neural and Evolutionary Computing · Computer Science 2026-05-14 Jongmin Choi , Joon Son Chung

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

The combination of new recording techniques in neuroscience and powerful inference methods recently held the promise to recover useful effective models, at the single neuron or network level, directly from observed data. The value of a…

Neurons and Cognition · Quantitative Biology 2018-04-09 Cristiano Capone , Guido Gigante , Paolo Del Giudice

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

We briefly review and highlight the consequences of rigorous and exact results obtained in \cite{cessac:10}, characterizing the statistics of spike trains in a network of leaky Integrate-and-Fire neurons, where time is discrete and where…

Adaptation and Self-Organizing Systems · Physics 2010-08-31 Bruno Cessac , Hassan Nasser , Juan-Carlos Vasquez

Modeling and interpreting spike train data is a task of central importance in computational neuroscience, with significant translational implications. Two popular classes of data-driven models for this task are autoregressive Point Process…

Neurons and Cognition · Quantitative Biology 2020-06-30 M. E. Rule , G. Sanguinetti