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Learning and memory in the brain are implemented by complex, time-varying changes in neural circuitry. The computational rules according to which synaptic weights change over time are the subject of much research, and are not precisely…

Machine Learning · Statistics 2014-11-18 Scott W. Linderman , Christopher H. Stock , Ryan P. Adams

Gene regulatory network of lambda phage is one the best studied model systems in molecular biology. More 50 years of experimental study has provided a tremendous amount of data at all levels: physics, chemistry, DNA, protein, and function.…

Molecular Networks · Quantitative Biology 2007-05-23 X. -M. Zhu , L. Yin , L. Hood , P. Ao

The computational efficiency of the human brain is believed to stem from the parallel information processing capability of neurons with integrated storage in synaptic interconnections programmed by local spike triggered learning rules such…

Emerging Technologies · Computer Science 2020-03-17 S. R. Nandakumar , Bipin Rajendran

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…

Neurons and Cognition · Quantitative Biology 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

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…

Neural and Evolutionary Computing · Computer Science 2016-03-22 Yoshua Bengio , Thomas Mesnard , Asja Fischer , Saizheng Zhang , Yuhuai Wu

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

Synaptic plasticity is vital for learning and memory in the brain. It consists of long-term potentiation (LTP) and long-term depression (LTD). Spike frequency is one of the major components of synaptic plasticity in the brain, a noisy…

Neurons and Cognition · Quantitative Biology 2021-08-13 Yuto Takeda , Katsuhiko Hata , Tokio Yamasaki , Masaki Kaneko , Osamu Yokoi , Chengta Tsai , Kazuo Umemura , Tetsuro Nikuni

Synchronization is a widespread phenomenon in the brain. Despite numerous studies, the specific parameter configurations of the synaptic network structure and learning rules needed to achieve robust and enduring synchronization in neurons…

Neurons and Cognition · Quantitative Biology 2023-08-15 Marius E. Yamakou , Mathieu Desroches , Serafim Rodrigues

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

Neurons and Cognition · Quantitative Biology 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

Spike-timing-dependent plasticity (STDP) has recently been shown in some physiological studies. STDP depends on the precise temporal relationship of pre- and post-synaptic spikes. Many authors have indicated that a precise balance between…

Disordered Systems and Neural Networks · Physics 2009-11-07 Narihisa Matsumoto , Masato Okada

We investigate the interplay between phase lag and adaptive learning rules in a network of identical pendulum oscillators, where the coupling strengths evolve dynamically in response to the oscillators' states. Specifically, we examine two…

Adaptation and Self-Organizing Systems · Physics 2026-03-12 R. Anand , V. K. Chandrasekar , R. Suresh

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

We introduce Spike Agreement Dependent Plasticity (SADP), a biologically inspired synaptic learning rule for Spiking Neural Networks (SNNs) that relies on the agreement between pre- and post-synaptic spike trains rather than precise…

Neural and Evolutionary Computing · Computer Science 2025-08-25 Saptarshi Bej , Muhammed Sahad E , Gouri Lakshmi , Harshit Kumar , Pritam Kar , Bikas C Das

The problem of training spiking neural networks (SNNs) is a necessary precondition to understanding computations within the brain, a field still in its infancy. Previous work has shown that supervised learning in multi-layer SNNs enables…

Neural and Evolutionary Computing · Computer Science 2018-03-12 Amirhossein Tavanaei , Anthony S. Maida

We consider clustered small-world networks with both inhibitory (I) and excitatory (E) populations. This I-E neuronal network has adaptive dynamic I to E and E to I interpopulation synaptic strengths, governed by interpopulation…

Neurons and Cognition · Quantitative Biology 2020-02-12 Sang-Yoon Kim , Woochang Lim

We consider the Watts-Strogatz small-world network (SWN) consisting of inhibitory fast spiking Izhikevich interneurons. This inhibitory neuronal population has adaptive dynamic synaptic strengths governed by the inhibitory…

Neurons and Cognition · Quantitative Biology 2018-05-15 Sang-Yoon Kim , Woochang Lim

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

Recently spike timing dependent plasticity was observed in inhibitory synapse in the layer II of entorhinal cortex. The rule provides an interesting zero in the region of $\Delta t=t_{post}-t_{pre}=0$ and in addition the dynamic range of…

Neurons and Cognition · Quantitative Biology 2013-04-24 Sachin S Talathi

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

We investigate the stability of negative image equilibria in mean synaptic weight dynamics governed by spike-timing dependent plasticity (STDP). The neural architecture of the model is based on the electrosensory lateral line lobe (ELL) of…

Biological Physics · Physics 2009-11-10 Alan Williams , Patrick D. Roberts , Todd K. Leen