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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…

神经元与认知 · 定量生物学 2015-04-14 Subhajit Sengupta , Karthik S. Gurumoorthy , Arunava Banerjee

Spike-timing-dependent plasticity (STDP) provides a biologically-plausible learning mechanism for spiking neural networks (SNNs); however, Hebbian weight updates in architectures with recurrent connections suffer from pathological weight…

神经与进化计算 · 计算机科学 2026-01-14 Andreas Massey , Aliaksandr Hubin , Stefano Nichele , Solve Sæbø

Maintaining the ability to fire sparsely is crucial for information encoding in neural networks. Additionally, spiking homeostasis is vital for spiking neural networks with changing numbers of weights and neurons. We discuss a range of…

神经与进化计算 · 计算机科学 2019-10-02 Katarzyna Kozdon , Peter Bentley

Biological neurons have adaptive nature and perform complex computations involving the filtering of redundant information. However, most common neural cell models, including biologically plausible, such as Hodgkin-Huxley or Izhikevich, do…

神经元与认知 · 定量生物学 2021-06-22 Oleg Nikitin , Olga Lukyanova , Alex Kunin

Neural networks with synaptic weights constructed according to the weighted Hebb rule, a variant of the familiar Hebb rule, are studied in the presence of noise(finite temperature), when the number of stored patterns is finite and in the…

凝聚态物理 · 物理学 2009-10-22 Caren Marzban , Raju Viswanathan

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…

神经元与认知 · 定量生物学 2021-08-03 Oleg Nikitin , Olga Lukyanova , Alex Kunin

Hebbian learning is a key principle underlying learning in biological neural networks. We relate a Hebbian spike-timing-dependent plasticity rule to noisy gradient descent with respect to a non-convex loss function on the probability…

机器学习 · 计算机科学 2026-01-14 Niklas Dexheimer , Sascha Gaudlitz , Johannes Schmidt-Hieber

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…

神经与进化计算 · 计算机科学 2025-06-19 Marissa Dominijanni , Alexander Ororbia , Kenneth W. Regan

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…

神经元与认知 · 定量生物学 2021-11-16 Philippe Robert , Gaëtan Vignoud

We introduce a weight update formula that is expressed only in terms of firing rates and their derivatives and that results in changes consistent with those associated with spike-timing dependent plasticity (STDP) rules and biological…

神经与进化计算 · 计算机科学 2016-03-22 Yoshua Bengio , Thomas Mesnard , Asja Fischer , Saizheng Zhang , Yuhuai Wu

Hebbian and anti-Hebbian plasticity are widely observed in the biological brain, yet their theoretical understanding remains limited. In this work, we find that when a learning method is regularized with L2 weight decay, its learning signal…

机器学习 · 计算机科学 2025-12-02 David Koplow , Tomaso Poggio , Liu Ziyin

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…

概率论 · 数学 2018-03-02 Pascal Helson

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

神经元与认知 · 定量生物学 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

Spike-timing dependent plasticity in biological neural networks has been proven to be important during biological learning process. On the other hand, artificial neural networks use a different way to learn, such as Back-Propagation or…

神经与进化计算 · 计算机科学 2022-06-29 Shiyuan Li

The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate populations of excitatory and inhibitory neurons. We furthermore…

神经元与认知 · 定量生物学 2007-06-19 Benoit Siri , Mathias Quoy , Bruno Delord , Bruno Cessac , Hugues Berry

We study the capacity of Hodgkin-Huxley neuron in a network to change temporarily or permanently their connections and behavior, the so called spike timing-dependent plasticity (STDP), as a function of their synchronous behavior. We…

Hebbian learning theory is rooted in Pavlov's Classical Conditioning. While mathematical models of the former have been proposed and studied in the past decades, especially in spin glass theory, only recently it has been numerically shown…

无序系统与神经网络 · 物理学 2024-10-11 Daniele Lotito , Miriam Aquaro , Chiara Marullo

The representation of the natural-density, heterogeneous connectivity of neuronal network models at relevant spatial scales remains a challenge for Computational Neuroscience and Neuromorphic Computing. In particular, the memory demands…

神经元与认知 · 定量生物学 2022-09-16 Stefan Dasbach , Tom Tetzlaff , Markus Diesmann , Johanna Senk

This study proposes voltage-dependent-synaptic plasticity (VDSP), a novel brain-inspired unsupervised local learning rule for the online implementation of Hebb's plasticity mechanism on neuromorphic hardware. The proposed VDSP learning rule…

In many normative theories of synaptic plasticity, weight updates implicitly depend on the chosen parametrization of the weights. This problem relates, for example, to neuronal morphology: synapses which are functionally equivalent in terms…

神经元与认知 · 定量生物学 2022-02-25 Elena Kreutzer , Walter M. Senn , Mihai A. Petrovici
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