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Large networks of spiking neurons show abrupt changes in their collective dynamics resembling phase transitions studied in statistical physics. An example of this phenomenon is the transition from irregular, noise-driven dynamics to…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vicenç Gómez , Andreas Kaltenbrunner , Vicente López , Hilbert J. Kappen

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Learning, especially rapid learning, is critical for survival. However, learning is hard: a large number of synaptic weights must be set based on noisy, often ambiguous, sensory information. In such a high-noise regime, keeping track of…

Neurons and Cognition · Quantitative Biology 2021-03-22 Laurence Aitchison , Jannes Jegminat , Jorge Aurelio Menendez , Jean-Pascal Pfister , Alex Pouget , Peter E. Latham

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

In neural circuits, synaptic strengths influence neuronal activity by shaping network dynamics, and neuronal activity influences synaptic strengths through activity-dependent plasticity. Motivated by this fact, we study a recurrent-network…

Neurons and Cognition · Quantitative Biology 2024-01-12 David G. Clark , L. F. Abbott

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

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

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

Short-Term Synaptic Plasticity (STSP) strongly affects the neural dynamics of cortical networks. The Tsodyks and Markram (TM) model for STSP accurately accounts for a wide range of physiological responses at different types of cortical…

Neurons and Cognition · Quantitative Biology 2014-03-05 Jesus M Cortes , Mathieu Desroches , Serafim Rodrigues , Romain Veltz , Miguel A. Munoz , Terrence J. Sejnowski

Sensing the flow of water or air disturbance is critical for the survival of many animals: flow information helps them localize food, mates, and prey and to escape predators. Across species, many flow sensors take the form of long, flexible…

Fluid Dynamics · Physics 2022-11-10 Shayan Heydari , Mitra J. Z. Hartmann , Neelesh A. Patankar , Rajeev K. Jaiman

Self-organized structures in networks with spike-timing dependent plasticity (STDP) are likely to play a central role for information processing in the brain. In the present study we derive a reaction-diffusion-like formalism for plastic…

Disordered Systems and Neural Networks · Physics 2016-06-15 Dmytro Grytskyy , Markus Diesmann , Moritz Helias

The lateral diffusion and trapping of neurotransmitter receptors within the postsynaptic membrane of a neuron plays a key role in determining synaptic strength and plasticity. Trapping is mediated by the reversible binding of receptors to…

Quantitative Methods · Quantitative Biology 2022-03-25 Ryan D. Schumm , Paul C. Bressloff

While surrogate backpropagation proves useful for training deep spiking neural networks (SNNs), incorporating biologically inspired local signals on a large scale remains challenging. This difficulty stems primarily from the high memory…

Neural and Evolutionary Computing · Computer Science 2025-12-09 Yuchen Tian , Samuel Tensingh , Jason Eshraghian , Nhan Duy Truong , Omid Kavehei

Experimental observations on synaptic plasticity at individual glutamatergic synapses from the CA3 Shaffer collateral pathway onto CA1 pyramidal cells in the hippocampus suggest that the transitions in synaptic strength occur among discrete…

Quantitative Methods · Quantitative Biology 2013-04-26 H. D. Abarbanel , S. S. Talathi , L. Gibb , M. Rabinovich

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

Neurons and Cognition · Quantitative Biology 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

This paper addresses two questions in the context of neuronal networks dynamics, using methods from dynamical systems theory and statistical physics: (i) How to characterize the statistical properties of sequences of action potentials…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 B. Cessac , H. Rostro , J. C. Vasquez , T. Viéville

The backpropagation algorithm has promoted the rapid development of deep learning, but it relies on a large amount of labeled data and still has a large gap with how humans learn. The human brain can quickly learn various conceptual…

Neural and Evolutionary Computing · Computer Science 2023-04-25 Yiting Dong , Dongcheng Zhao , Yang Li , Yi Zeng

Neuronal spikes directly drive muscles and endow animals with agile movements, but applying the spike-based control signals to actuators in artificial sensor-motor systems inevitably causes a collapse of learning. We developed a system that…

Neurons and Cognition · Quantitative Biology 2026-03-03 Takeshi Kobayashi , Shogo Yonekura , Yasuo Kuniyoshi

The density of synaptic receptors in front of presynaptic release sites is stabilized in the presence of scaffold proteins, but the receptors and scaffold molecules have local exchanges with characteristic times shorter than that of the…

Biological Physics · Physics 2009-11-13 Ken Sekimoto , Antoine Triller

A fundamental feature of learning in animals is the "ability to forget" that allows an organism to perceive, model and make decisions from disparate streams of information and adapt to changing environments. Against this backdrop, we…

Neural and Evolutionary Computing · Computer Science 2018-06-12 Priyadarshini Panda , Jason M. Allred , Shriram Ramanathan , Kaushik Roy
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