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We consider the deterministic evolution of a time-discretized spiking network of neurons with connection weights having delays, modeled as a discretized neural network of the generalized integrate and fire (gIF) type. The purpose is to…

Adaptation and Self-Organizing Systems · Physics 2013-01-11 H. Rostro , B. Cessac , J. C. Vasquez , T. Vieville

Distributed learning is an effective way to analyze big data. In distributed regression, a typical approach is to divide the big data into multiple blocks, apply a base regression algorithm on each of them, and then simply average the…

Machine Learning · Computer Science 2017-08-08 Zhengchu Guo , Lei Shi , Qiang Wu

We introduce a new supervised learning algorithm based to train spiking neural networks for classification. The algorithm overcomes a limitation of existing multi-spike learning methods: it solves the problem of interference between…

Neural and Evolutionary Computing · Computer Science 2021-08-12 Huy Le Nguyen , Dominique Chu

Background: Spike trains of multiple neurons can be analyzed following the summed population (SP) or the labeled line (LL) hypothesis. Responses to external stimuli are generated by a neuronal population as a whole or the individual neurons…

Neurons and Cognition · Quantitative Biology 2018-09-17 Eero Satuvuori , Mario Mulansky , Andreas Daffertshofer , Thomas Kreuz

We wish to discriminate spike sequences based on the degree of irregularity. For this purpose, we search for a rational expressions of quadratic functions of consecutive interspike intervals that efficiently measures spiking irregularity.…

Neurons and Cognition · Quantitative Biology 2007-05-23 K. Miura , M. Okada , S. Shinomoto

Learning synaptic weights of spiking neural network (SNN) models that can reproduce target spike trains from provided neural firing data is a central problem in computational neuroscience and spike-based computing. The discovery of the…

Neural and Evolutionary Computing · Computer Science 2019-10-10 Bryce Bagley , Blake Bordelon , Benjamin Moseley , Ralf Wessel

In order to learn the complex features of large spatio-temporal data, models with large parameter sets are often required. However, estimating a large number of parameters is often infeasible due to the computational and memory costs of…

Computation · Statistics 2018-07-02 Matthew Edwards , Stefano Castruccio , Dorit Hammerling

Neurons in the brain communicate with each other through discrete action spikes as opposed to continuous signal transmission in artificial neural networks. Therefore, the traditional techniques for optimization of parameters in neural…

Machine Learning · Computer Science 2020-05-13 Sneha Aenugu

Spiking neuronal networks are usually simulated with three main simulation schemes: the classical time-driven and event-driven schemes, and the more recent hybrid scheme. All three schemes evolve the state of a neuron through a series of…

Neurons and Cognition · Quantitative Biology 2018-01-24 Jeyashree Krishnan , PierGianLuca Porta Mana , Moritz Helias , Markus Diesmann , Edoardo Di Napoli

This paper uses a simple optogenetic model to compare the timing distortion between a randomly-generated target spike sequence and an externally-stimulated neuron spike sequence. Optogenetics is an emerging field of neuroscience where…

Neurons and Cognition · Quantitative Biology 2020-04-24 Adam Noel , Dimitrios Makrakis , Andrew W. Eckford

Approaches to predicting neuronal spike responses commonly use a Poisson learning objective. This objective quantizes responses into spike counts within a fixed summation interval, typically on the order of 10 to 100 milliseconds in…

Neurons and Cognition · Quantitative Biology 2024-07-03 Kevin Doran , Marvin Seifert , Carola A. M. Yovanovich , Tom Baden

Social goods, such as healthcare, smart city, and information networks, often produce ordered event data in continuous time. The generative processes of these event data can be very complex, requiring flexible models to capture their…

Machine Learning · Computer Science 2020-12-29 Shuang Li , Shuai Xiao , Shixiang Zhu , Nan Du , Yao Xie , Le Song

Sparse sequences of neural spikes are posited to underlie aspects of working memory, motor production, and learning. Discovering these sequences in an unsupervised manner is a longstanding problem in statistical neuroscience. Promising…

Machine Learning · Statistics 2020-10-13 Alex H. Williams , Anthony Degleris , Yixin Wang , Scott W. Linderman

Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

Statistics Theory · Mathematics 2026-05-13 Xin Bing , Chao Wang

In a spiking neural network, is it enough for each neuron to spike at most once? In recent work, approximation bounds for spiking neural networks have been derived, quantifying how well they can fit target functions. However, these results…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Dominik Dold , Philipp Christian Petersen

There is extensive evidence that biological neural networks encode information in the precise timing of the spikes generated and transmitted by neurons, which offers several advantages over rate-based codes. Here we adopt a vector space…

Neurons and Cognition · Quantitative Biology 2019-07-16 Dorian Florescu , Daniel Coca

Model-based reinforcement learning (MBRL) has been shown to be a powerful framework for data-efficiently learning control of continuous tasks. Recent work in MBRL has mostly focused on using more advanced function approximators and planning…

Machine Learning · Computer Science 2021-04-20 Nathan Lambert , Brandon Amos , Omry Yadan , Roberto Calandra

Neurons in the central nervous system communicate with each other with the help of series of Action Potentials, or spike trains. Various studies have shown that neurons encode information in different features of spike trains, such as the…

Neurons and Cognition · Quantitative Biology 2014-10-21 Shubhanshu Shekhar , Kaushik Majumdar

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

Stochastic gradient descent algorithms for training linear and kernel predictors are gaining more and more importance, thanks to their scalability. While various methods have been proposed to speed up their convergence, the model selection…

Machine Learning · Computer Science 2014-06-17 Francesco Orabona