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In this paper we study the hydrodynamic limit for a stochastic process describing the time evolution of the membrane potentials of a system of neurons with spatial dependency. We do not impose on the neurons mean-field type interactions.…

Probability · Mathematics 2017-07-14 Aline Duarte , Guilherme Ost , Andrés Rodríguez

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

The quest for highly efficient cognitive computing has led to extensive research interest for the field of neuromorphic computing. Neuromorphic computing aims to mimic the behavior of biological neurons and synapses using solid-state…

Emerging Technologies · Computer Science 2021-08-31 Humberto Inzunza Velarde , Jheel Nagaria , Zihan Yin , Ajey Jacob , Akhilesh Jaiswal

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

Disordered Systems and Neural Networks · Physics 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

Metal-oxide memristors have emerged as promising candidates for hardware implementation of artificial synapses - the key components of high-performance, analog neuromorphic networks - due to their excellent scaling prospects. Since some…

Other Condensed Matter · Physics 2016-10-10 M. Prezioso , F. Merrikh-Bayat , B. Hoskins , K. Likharev , D. Strukov

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

While deep neural networks have surpassed human performance in multiple situations, they are prone to catastrophic forgetting: upon training a new task, they rapidly forget previously learned ones. Neuroscience studies, based on idealized…

Neural and Evolutionary Computing · Computer Science 2021-03-24 Axel Laborieux , Maxence Ernoult , Tifenn Hirtzlin , Damien Querlioz

The basic units in our brain are neurons and each neuron has more than 1000 synapse connections. Synapse is the basic structure for information transfer in an ever-changing manner, and short-term plasticity allows synapses to perform…

Materials Science · Physics 2014-03-05 Li Qiang Zhu , Chang Jin Wan , Li Qiang Guo , Yi Shi , Qing Wan

This paper studies the hydrodynamic limit of a stochastic process describing the time evolution of a system with N neurons with mean-field interactions produced both by chemical and by electrical synapses. This system can be informally…

Probability · Mathematics 2016-08-08 Anna De Masi , Antonio Galves , Eva Löcherbach , Errico Presutti

Synaptic efficacy between neurons is known to change within a short time scale dynamically. Neurophysiological experiments show that high-frequency presynaptic inputs decrease synaptic efficacy between neurons. This phenomenon is called…

Disordered Systems and Neural Networks · Physics 2015-05-28 Yosuke Otsubo , Kenji Nagata , Masafumi Oizumi , Masato Okada

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

We present an account of neuroplasticity with respect to cell-internal processing pathways in relation to membrane and synaptic plasticity. We think traditional synapse-centric, weight-based models of memorization are not sufficient or…

Neurons and Cognition · Quantitative Biology 2026-04-27 Gabriele Scheler

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

We study the characteristics of weak signal detection by a recurrent neuronal network with plastic synaptic coupling. It is shown that in the presence of an asynchronous component in synaptic transmission, the network acquires selectivity…

Neurons and Cognition · Quantitative Biology 2015-05-13 Vladislav Volman , Herbert Levine

Advanced neural interfaces mediate a bio-electronic link between the nervous system and microelectronic devices, bearing great potential as innovative therapy for various diseases. Spikes from a large number of neurons are recorded leading…

Emerging Technologies · Computer Science 2016-11-30 Isha Gupta , Alexantrou Serb , Ali Khiat , Ralf Zeitler , Stefano Vassanelli , Themistoklis Prodromakis

The spiking neural network (SNN) mimics the information processing operation in the human brain, represents and transmits information in spike trains containing wealthy spatial and temporal information, and shows superior performance on…

Neural and Evolutionary Computing · Computer Science 2021-10-25 Guobin Shen , Dongcheng Zhao , Yi Zeng

Nanoscale metal oxide memristors have potential in the development of brain-inspired computing systems that are scalable and efficient1-3. In such systems, memristors represent the native electronic analogues of the biological synapses.…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Cheng-Chih Hsieh , Anupam Roy , Yao-Feng Chang , Davood Shahrjerdi , Sanjay K. Banerjee

How can we build agents that keep learning from experience, quickly and efficiently, after their initial training? Here we take inspiration from the main mechanism of learning in biological brains: synaptic plasticity, carefully tuned by…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Thomas Miconi , Jeff Clune , Kenneth O. Stanley

Synaptic plasticity dynamically shapes the connectivity of neural systems and is key to learning processes in the brain. To what extent the mechanisms of plasticity can be exploited to drive a neural network and make it perform some kind of…

Neurons and Cognition · Quantitative Biology 2024-12-03 Francesco Borra , Simona Cocco , Rémi Monasson

When an action potential is transmitted to a postsynaptic neuron, a small change in the postsynaptic neuron's membrane potential occurs. These small changes, known as a postsynaptic potentials (PSPs), are highly variable, and current models…

Neurons and Cognition · Quantitative Biology 2015-07-14 Laurence Aitchison , Peter E. Latham