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Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

Applications · Statistics 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

We present the mathematical basis of a new approach to the analysis of temporal coding. The foundation of the approach is the construction of several families of novel distances (metrics) between neuronal impulse trains. In contrast to most…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jonathan D. Victor , Keith P. Purpura

Neural decoding involves correlating signals acquired from the brain to variables in the physical world like limb movement or robot control in Brain Machine Interfaces. In this context, this work starts from a specific pre-existing dataset…

The binding neuron model is inspired by numerical simulation of Hodgkin-Huxley-type point neuron, as well as by the leaky integrate-and-fire model. In the binding neuron, the trace of an input is remembered for a fixed period of time after…

Neurons and Cognition · Quantitative Biology 2011-07-20 Alexander K. Vidybida

The present paper provides exact mathematical expressions for the high-order moments of spiking activity in a recurrently-connected network of linear Hawkes processes. It extends previous studies that have explored the case of a (linear)…

Neurons and Cognition · Quantitative Biology 2019-12-17 Matthieu Gilson , Jean-Pascal Pfister

We study the contraction of Hodgkin-Huxley model and its role in the reliability of spike timings. Without input, the model is contractive in the region of physiological interest. With impulsive synaptic inputs, contraction is retained…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Alessandro Cecconi , Michelangelo Bin , Lorenzo Marconi , Rodolphe Sepulchre

Spiking neural networks aim to emulate the brain's properties to achieve similar parallelism and high-processing power. A caveat of these neural networks is the high computational cost to emulate, while current proposals for analogue…

Radio Frequency (RF) sensing holds the potential for enabling pervasive monitoring applications. However, modern sensing algorithms imply complex operations, which clash with the energy-constrained nature of edge sensing devices. This calls…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Eleonora Cicciarella , Riccardo Mazzieri , Jacopo Pegoraro , Michele Rossi

Hippocampal neurons exhibit precise phase locking to network oscillations, but the computational principle governing this temporal precision is still unclear. Neural information is conveyed jointly by firing rates and spike timing, but…

Neurons and Cognition · Quantitative Biology 2026-03-23 Reza Ahmadvand , Sara Safura Sharif , Yaser Mike Banad

We consider the evolution of a network of neurons, focusing on the asymptotic behavior of spikes dynamics instead of membrane potential dynamics. The spike response is not sought as a deterministic response in this context, but as a…

Data Analysis, Statistics and Probability · Physics 2010-08-27 J. C. Vasquez , B. Cessac , T. Viéville

We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity. Our input data consist of spike train measurements of a set of neurons of interest, a candidate list of…

Neurons and Cognition · Quantitative Biology 2015-10-23 Gard Spreemann , Benjamin Dunn , Magnus Bakke Botnan , Nils A. Baas

Neuromorphic computing systems emulate the electrophysiological behavior of the biological nervous system using mixed-mode analog or digital VLSI circuits. These systems show superior accuracy and power efficiency in carrying out cognitive…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Aadhitiya VS , Jani Babu Shaik , Sonal Singhal , Siona Menezes Picardo , Nilesh Goel

Spatio-temporal receptive fields (STRF) of visual neurons are often estimated using spike-triggered averaging of binary pseudo-random stimulus sequences. The spike train of a visual neuron is recorded simultaneously with the stimulus…

Quantitative Methods · Quantitative Biology 2024-07-24 Murat Okatan

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

This paper exploits the fact that the variability in the inter-spike intervals, in the spike train issuing from a neuron, carries substantial information regarding the input to the neuron. A framework for neuronal information processing is…

Neurons and Cognition · Quantitative Biology 2008-08-04 Balaram Das

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

We consider a stochastic Hodgkin-Huxley model driven by a periodic signal as model for the membrane potential of a pyramidal neuron. The associated five dimensional diffusion process is a time inhomogeneous highly degenerate diffusion for…

Probability · Mathematics 2012-07-03 Reinhard Höpfner , Eva Löcherbach , Michèle Thieullen

Current state-of-the-art methods of image classification using convolutional neural networks are often constrained by both latency and power consumption. This places a limit on the devices, particularly low-power edge devices, that can…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Peyton Chandarana , Junlin Ou , Ramtin Zand

Research showed that, the information transmitted in biological neurons is encoded in the instants of successive action potentials or their firing rate. In addition to that, in-vivo operation of the neuron makes measurement difficult and…

Neurons and Cognition · Quantitative Biology 2018-01-10 Ozgur Doruk , Kechen Zhang

To understand possible strategies of temporal spike coding in the central nervous system, we study functional neuromimetic models of visual processing for static images. We will first present the retinal model which was introduced by Van…

Neurons and Cognition · Quantitative Biology 2007-05-23 Laurent Perrinet , Manuel Samuelides , Simon Thorpe
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