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We investigate spike-timing dependent plasticity (STPD) in the case of a synapse connecting two neural cells. We develop a theoretical analysis of several STDP rules using Markovian theory. In this context there are two different…

Neurons and Cognition · Quantitative Biology 2021-11-16 Philippe Robert , Gaëtan Vignoud

Thought to be responsible for memory, synaptic plasticity has been widely studied in the past few decades. One example of plasticity models is the popular Spike Timing Dependent Plasticity (STDP). The huge litterature of STDP models are…

Probability · Mathematics 2018-03-02 Pascal Helson

Spike Timing Dependent Plasticity (STDP) is a Hebbian like synaptic learning rule. The basis of STDP has strong experimental evidences and it depends on precise input and output spike timings. In this paper we show that under biologically…

Neurons and Cognition · Quantitative Biology 2015-04-14 Subhajit Sengupta , Karthik S. Gurumoorthy , Arunava Banerjee

In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic weight. A Spike-Timing Dependent Plasticity (STDP) rule is a…

Probability · Mathematics 2021-11-17 Philippe Robert , Gaetan Vignoud

We show that the local Spike Timing-Dependent Plasticity (STDP) rule has the effect of regulating the trans-synaptic weights of loops of any length within a simulated network of neurons. We show that depending on STDP's polarity, functional…

Neurons and Cognition · Quantitative Biology 2010-03-23 James R. Kozloski , Guillermo A. Cecchi

Learning is based on synaptic plasticity, which affects and is driven by neural activity. Because pre- and postsynaptic spiking activity is shaped by randomness, the synaptic weights follow a stochastic process, requiring a probabilistic…

Neurons and Cognition · Quantitative Biology 2026-01-14 Jakob Stubenrauch , Naomi Auer , Richard Kempter , Benjamin Lindner

In timing-based neural codes, neurons have to emit action potentials at precise moments in time. We use a supervised learning paradigm to derive a synaptic update rule that optimizes via gradient ascent the likelihood of postsynaptic firing…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jean-Pascal Pfister , Taro Toyoizumi , David Barber , Wulfram Gerstner

In neuroscience, learning and memory are usually associated to long-term changes of neuronal connectivity. In this context, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called {\em…

Probability · Mathematics 2021-06-10 Philippe Robert , Gaetan Vignoud

Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the brain. The classical model of STDP which considers the timing between pairs of pre-synaptic and…

Neural and Evolutionary Computing · Computer Science 2013-03-21 Mostafa Rahimi Azghadi , Said Al-Sarawi , Nicolangelo Iannella , Derek Abbott

Synaptic delays play a crucial role in biological neuronal networks, where their modulation has been observed in mammalian learning processes. In the realm of neuromorphic computing, although spiking neural networks (SNNs) aim to emulate…

Neural and Evolutionary Computing · Computer Science 2025-06-19 Marissa Dominijanni , Alexander Ororbia , Kenneth W. Regan

Latency reduction of postsynaptic spikes is a well-known effect of Synaptic Time-Dependent Plasticity. We expand this notion for long postsynaptic spike trains, showing that, for a fixed input spike train, STDP reduces the number of…

Neurons and Cognition · Quantitative Biology 2019-07-26 Pau Vilimelis Aceituno , Masud Ehsani , Jürgen Jost

We present an effective model for timing-dependent synaptic plasticity (STDP) in terms of two interacting traces, corresponding to the fraction of activated NMDA receptors and the Ca2+ concentration in the dendritic spine of the…

Neurons and Cognition · Quantitative Biology 2015-02-26 Rodrigo Echeveste , Claudius Gros

Spiking neural networks (SNNs) promise energy-efficient computation by mimicking biological neural dynamics, yet existing plasticity rules focus on isolated spike pairs and fail to leverage the synchronous activity patterns that drive…

Neural and Evolutionary Computing · Computer Science 2025-08-26 Yuchen Tian , Assel Kembay , Samuel Tensingh , Nhan Duy Truong , Jason K. Eshraghian , Omid Kavehei

Synapses change on multiple timescales, ranging from milliseconds to minutes, due to a combination of both short- and long-term plasticity. Here we develop an extension of the common Generalized Linear Model to infer both short- and…

Neurons and Cognition · Quantitative Biology 2022-08-15 Ganchao Wei , Ian H. Stevenson

Spike-timing-dependent plasticity(STDP) is a biological process of synaptic modification caused by the difference of firing order and timing between neurons. One of the neurodynamical roles of STDP is to form a macroscopic geometrical…

Neurons and Cognition · Quantitative Biology 2021-08-10 Hong-Gyu Yoon , Pilwon Kim

Spike-timing-dependent plasticity (STDP) incurs both causal and acausal synaptic weight updates, for negative and positive time differences between pre-synaptic and post-synaptic spike events. For realizing such updates in neuromorphic…

Neural and Evolutionary Computing · Computer Science 2016-07-26 Bruno U. Pedroni , Sadique Sheik , Siddharth Joshi , Georgios Detorakis , Somnath Paul , Charles Augustine , Emre Neftci , Gert Cauwenberghs

Parallels between the signal processing tasks and biological neurons lead to an understanding of the principles of self-organized optimization of input signal recognition. In the present paper, we discuss such similarities among biological…

Neurons and Cognition · Quantitative Biology 2021-08-03 Oleg Nikitin , Olga Lukyanova , Alex Kunin

Precise spatio-temporal patterns of neuronal action potentials underly e.g. sensory representations and control of muscle activities. However, it is not known how the synaptic efficacies in the neuronal networks of the brain adapt such that…

Neurons and Cognition · Quantitative Biology 2015-02-24 Christian Albers , Maren Westkott , Klaus Pawelzik

Spiking neural networks (SNNs) could play a key role in unsupervised machine learning applications, by virtue of strengths related to learning from the fine temporal structure of event-based signals. However, some spike-timing-related…

Neural and Evolutionary Computing · Computer Science 2020-09-10 Timoleon Moraitis , Abu Sebastian , Irem Boybat , Manuel Le Gallo , Tomas Tuma , Evangelos Eleftheriou

Synapse plays an important role of learning in a neural network; the learning rules which modify the synaptic strength based on the timing difference between the pre- and post-synaptic spike occurrence is termed as Spike Time Dependent…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Roshan Gopalakrishnan , Arindam Basu
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