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Neural coding is a key problem in neuroscience, which can promote people's understanding of the mechanism that brain processes information. Among the classical theories of neural coding, the population rate coding has been studied widely in…

Neurons and Cognition · Quantitative Biology 2019-08-13 Hao Si , Xiaojuan Sun

We consider a response system that updates its internal state in accordance with information input arriving from outside. In this paper, we define as internal time the ``number of kinds'' of codes that have been observed at least once up to…

Computational Physics · Physics 2026-01-13 Tatsuaki Tsuruyama

The dynamics of complex systems, from financial markets to the brain, can be monitored in terms of multiple time series of activity of the constituent units, such as stocks or neurons respectively. While the main focus of time series…

Data Analysis, Statistics and Probability · Physics 2015-01-14 Assaf Almog , Diego Garlaschelli

Frequency discrimination is a fundamental task of the auditory system. The mammalian inner ear, or cochlea, provides a place code in which different frequencies are detected at different spatial locations. However, a temporal code based on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Tobias Reichenbach , A. J. Hudspeth

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

We propose a novel backpropagation algorithm for training spiking neural networks (SNNs) that encodes information in the relative multiple spike timing of individual neurons without single-spike restrictions. The proposed algorithm inherits…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Kakei Yamamoto , Yusuke Sakemi , Kazuyuki Aihara

Neuronal responses are conspicuously variable. We focus on one particular aspect of that variability: the precision of action potential timing. We show that for common models of noisy spike generation, elementary considerations imply that…

Disordered Systems and Neural Networks · Physics 2009-10-31 Guillermo A. Cecchi , Mariano Sigman , Jose-Manuel Alonso , Luis Martinez , Dante R. Chialvo , Marcelo O. Magnasco

Gradient descent training techniques are remarkably successful in training analog-valued artificial neural networks (ANNs). Such training techniques, however, do not transfer easily to spiking networks due to the spike generation hard…

Neural and Evolutionary Computing · Computer Science 2017-08-17 Hesham Mostafa

Why do neurons communicate through spikes? By definition, spikes are all-or-none neural events which occur at continuous times. In other words, spikes are on one side binary, existing or not without further details, and on the other can…

Neurons and Cognition · Quantitative Biology 2024-04-12 Antoine Grimaldi , Amélie Gruel , Camille Besnainou , Jean-Nicolas Jérémie , Jean Martinet , Laurent U Perrinet

In this paper, we consider networks of deterministic spiking neurons, firing synchronously at discrete times; such spiking neural networks are inspired by networks of neurons and synapses that occur in brains. We consider the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-17 Nancy Lynch , Mien Brabeeba Wang

Spiking neural networks (SNNs) has attracted much attention due to its great potential of modeling time-dependent signals. The firing rate of spiking neurons is decided by control rate which is fixed manually in advance, and thus, whether…

Neural and Evolutionary Computing · Computer Science 2021-06-28 Shao-Qun Zhang , Zhao-Yu Zhang , Zhi-Hua Zhou

Quantification of neuronal correlations in neuron populations helps us to understand neural coding rules. Such quantification could also reveal how neurons encode information in normal and disease conditions like Alzheimer's and…

Neurons and Cognition · Quantitative Biology 2021-05-10 Sathish Ande , Srinivas Avasarala , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Neuromorphic computing has recently gained momentum with the emergence of various neuromorphic processors. As the field advances, there is an increasing focus on developing training methods that can effectively leverage the unique…

Emerging Technologies · Computer Science 2025-04-15 Sanaz Mahmoodi Takaghaj , Jack Sampson

Understanding a neural code requires knowledge both of the elementary symbols that transmit information and of the algorithm for translating these symbols into sensory signals or motor actions. We show that these questions can be separated:…

Biological Physics · Physics 2007-05-23 N. Brenner , S. P. Strong , R. Koberle , W. Bialek , R. de Ruyter van Steveninck

Classifying the information content of neural spike trains in a linguistic endeavor, an uncertainty relation emerges between the bit size of a word and its duration. This uncertainty is associated with the task of synchronizing the spike…

Neurons and Cognition · Quantitative Biology 2015-06-02 F. Tito Arecchi

Two elements of neural information processing have primarily been proposed: firing rate and spike timing of neurons. In the case of synaptic plasticity, although spike-timing-dependent plasticity (STDP) depending on presynaptic and…

Neurons and Cognition · Quantitative Biology 2020-01-14 Katsuhiko Hata , Osamu Araki , Osamu Yokoi , Tatsumi Kusakabe , Yoshio Yamamoto , Susumu Ito , Tetsuro Nikuni

Spike correlations between neurons are ubiquitous in the cortex, but their role is at present not understood. Here we describe the firing response of a leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated input…

Neurons and Cognition · Quantitative Biology 2007-10-15 Ruben Moreno-Bote , Alfonso Renart , Nestor Parga

A program can be considered as a device that generates discrete time signals, where a signal is an execution. Shannon information rate, or bit rate, of the signals may not be uniformly distributed. When the program is specified by a finite…

Software Engineering · Computer Science 2013-08-25 Cewei Cui , Zhe Dang , Thomas R. Fischer

Quantification of information content and its temporal variation in intracellular calcium spike trains in neurons helps one understand functions such as memory, learning, and cognition. Such quantification could also reveal pathological…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Sathish Ande , Srinivas Avasarala , Jayanth R Regatti , Neha Pandey , Sarpras Swain , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

Neurons and Cognition · Quantitative Biology 2026-05-01 Terrence J. Sejnowski