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Randomly connected networks of excitatory and inhibitory spiking neurons provide a parsimonious model of neural variability, but are notoriously unreliable for performing computations. We show that this difficulty is overcome by…

Neurons and Cognition · Quantitative Biology 2017-01-11 Ryan Pyle , Robert Rosenbaum

The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the…

Neurons and Cognition · Quantitative Biology 2011-11-02 Michael Famulare , Adrienne L. Fairhall

Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical artificial neural networks. Yet, their theoretical foundations remain only partially understood. In this work, we…

Optimization and Control · Mathematics 2025-09-29 Umberto Biccari

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

To understand how neural networks process information, it is important to investigate how neural network dynamics varies with respect to different stimuli. One challenging task is to design efficient statistical approaches to analyze…

Neurons and Cognition · Quantitative Biology 2018-11-30 Zhi-Qin John Xu , Douglas Zhou , David Cai

Brain-inspired machine intelligence research seeks to develop computational models that emulate the information processing and adaptability that distinguishes biological systems of neurons. This has led to the development of spiking neural…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Alexander Ororbia

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

Animals learn to predict external contingencies from experience through a process of conditioning. A natural mechanism for conditioning is stimulus substitution, whereby the neuronal response to a stimulus with no prior behavioral…

Neurons and Cognition · Quantitative Biology 2024-09-23 Pantelis Vafidis , Antonio Rangel

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

Neurons and Cognition · Quantitative Biology 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

The meteoric rise in the adoption of deep neural networks as computational models of vision has inspired efforts to "align" these models with humans. One dimension of interest for alignment includes behavioral choices, but moving beyond…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Lore Goetschalckx , Lakshmi Narasimhan Govindarajan , Alekh Karkada Ashok , Aarit Ahuja , David L. Sheinberg , Thomas Serre

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

In many areas of the brain, neural spiking activity covaries with features of the external world, such as sensory stimuli or an animal's movement. Experimental findings suggest that the variability of neural activity changes over time and…

Neurons and Cognition · Quantitative Biology 2022-10-11 Ganchao Wei , Ian H. Stevenson

A key problem in computational neuroscience is to find simple, tractable models that are nevertheless flexible enough to capture the response properties of real neurons. Here we examine the capabilities of recurrent point process models…

Neurons and Cognition · Quantitative Biology 2017-07-11 Alison I. Weber , Jonathan W. Pillow

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

Experiments that study neural encoding of stimuli at the level of individual neurons typically choose a small set of features present in the world --- contrast and luminance for vision, pitch and intensity for sound --- and assemble a…

Machine Learning · Statistics 2016-11-22 Xin , Chen , Jeffrey M Beck , John M Pearson

Cortical neurons include many sub-cellular processes, operating at multiple timescales, which may affect their response to stimulation through non-linear and stochastic interaction with ion channels and ionic concentrations. Since new…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

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

Spike synchrony, which occurs in various cortical areas in response to specific perception, action and memory tasks, has sparked a long-standing debate on the nature of temporal organization in cortex. One prominent view is that this type…

Neurons and Cognition · Quantitative Biology 2017-12-18 Clemens Korndörfer , Ekkehard Ullner , Jordi García-Ojalvo , Gordon Pipa