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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

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

Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for…

Neurons and Cognition · Quantitative Biology 2022-03-18 Robert Haslinger , Kristina Lisa Klinkner , Cosma Rohilla Shalizi

This paper presents a biologically plausible method for converting real-valued input into spike trains for processing with spiking neural networks. The proposed method mimics the adaptive behaviour of retinal ganglion cells and allows input…

Neural and Evolutionary Computing · Computer Science 2021-04-13 Alexander Hadjiivanov

Trial-to-trial variability of neural responses has been linked to important aspects of neural computation and is essential for understanding how neuronal populations respond. While current overdispersion models treat each neuron's gain as…

Quantitative Methods · Quantitative Biology 2026-05-11 Skyler Thomas , Brandon J. Zhu , Kathleen E. Cullen , Adam S. Charles

Regression models are popular tools in empirical sciences to infer the influence of a set of variables onto a dependent variable given an experimental dataset. In neuroscience and cognitive psychology, Generalized Linear Models (GLMs)…

Applications · Statistics 2020-02-04 Vincent Adam , Alexandre Hyafil

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

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

Recent advancements in miniaturized fluorescence microscopy have made it possible to investigate neuronal responses to external stimuli in awake behaving animals through the analysis of intra-cellular calcium signals. An on-going challenge…

Applications · Statistics 2022-01-28 Laura D'Angelo , Antonio Canale , Zhaoxia Yu , Michele Guindani

We describe a new, computationally simple method for analyzing the dynamics of neuronal spike trains driven by external stimuli. The goal of our method is to test the predictions of simple spike-generating models against extracellularly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Daniel S. Reich , Jonathan D. Victor , Bruce W. Knight

Advances in large-scale recording technologies now enable simultaneous measurements from multiple brain areas, offering new opportunities to study signal transmission across interacting components of neural circuits. However, neural…

Neurons and Cognition · Quantitative Biology 2025-10-27 Qi Xin , Robert E. Kass

Spiking Neural Networks~(SNNs) are a promising research paradigm for low power edge-based computing. Recent works in SNN backpropagation has enabled training of SNNs for practical tasks. However, since spikes are binary events in time,…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Sumit Bam Shrestha , Longwei Zhu , Pengfei Sun

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

Neurons and Cognition · Quantitative Biology 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

High-dimensional linear models have been widely studied, but the developments in high-dimensional generalized linear models, or GLMs, have been slower. In this paper, we propose an empirical or data-driven prior leading to an empirical…

Statistics Theory · Mathematics 2025-07-09 Yiqi Tang , Ryan Martin

Understanding how stimuli and synaptic connectivity in uence the statistics of spike patterns in neural networks is a central question in computational neuroscience. Maximum Entropy approach has been successfully used to characterize the…

Biological Physics · Physics 2016-11-26 Rodrigo Cofre , Bruno Cessac

In regression analysis of counts, a lack of simple and efficient algorithms for posterior computation has made Bayesian approaches appear unattractive and thus underdeveloped. We propose a lognormal and gamma mixed negative binomial (NB)…

Applications · Statistics 2012-07-03 Mingyuan Zhou , Lingbo Li , David Dunson , Lawrence Carin

This study explores how the selection of neuron models and learning rules impacts the classification performance of Spiking Neural Networks (SNNs), with a focus on applications in bio-signal processing. We compare biologically inspired…

Neurons and Cognition · Quantitative Biology 2025-09-10 Zofia Rudnicka , Janusz Szczepanski , Agnieszka Pregowska

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

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

Recent studies have suggested that the cognitive process of the human brain is realized as probabilistic inference and can be further modeled by probabilistic graphical models like Markov random fields. Nevertheless, it remains unclear how…

Neurons and Cognition · Quantitative Biology 2020-03-13 Yajing Zheng , Shanshan Jia , Zhaofei Yu , Tiejun Huang , Jian K. Liu , Yonghong Tian