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We propose a fully autonomous, thermodynamically consistent set of chemical reactions that implements a spiking neuron. This chemical neuron is able to learn input patterns in a Hebbian fashion. The system is scalable to arbitrarily many…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Jakub Fil , Dominique Chu

Most elementary behaviors such as moving the arm to grasp an object or walking into the next room to explore a museum evolve on the time scale of seconds; in contrast, neuronal action potentials occur on the time scale of a few…

Neurons and Cognition · Quantitative Biology 2018-08-17 Wulfram Gerstner , Marco Lehmann , Vasiliki Liakoni , Dane Corneil , Johanni Brea

This paper presents a spike-based model which employs neurons with functionally distinct dendritic compartments for classifying high dimensional binary patterns. The synaptic inputs arriving on each dendritic subunit are nonlinearly…

Neural and Evolutionary Computing · Computer Science 2014-11-26 Shaista Hussain , Shih-Chii Liu , Arindam Basu

Living beings are able to solve a wide variety of problems that they encounter rarely or only once. Without the benefit of extensive and repeated experience with these problems, they can solve them in an ad-hoc manner. We call this capacity…

Artificial Intelligence · Computer Science 2025-07-17 Alex Baranski , Jun Tani

Hebbian meta-learning has recently shown promise to solve hard reinforcement learning problems, allowing agents to adapt to some degree to changes in the environment. However, because each synapse in these approaches can learn a very…

Neural and Evolutionary Computing · Computer Science 2021-06-24 Rasmus Berg Palm , Elias Najarro , Sebastian Risi

Spiking neural networks (SNN) are considered as a perspective basis for performing all kinds of learning tasks - unsupervised, supervised and reinforcement learning. Learning in SNN is implemented through synaptic plasticity - the rules…

Neural and Evolutionary Computing · Computer Science 2021-11-15 Mikhail Kiselev

We present a novel stochastic Hebb-like learning rule for neural networks. This learning rule is stochastic with respect to the selection of the time points when a synaptic modification is induced by pre- and postsynaptic activation.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Frank Emmert-Streib

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

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

In neural network's Literature, Hebbian learning traditionally refers to the procedure by which the Hopfield model and its generalizations store archetypes (i.e., definite patterns that are experienced just once to form the synaptic…

Disordered Systems and Neural Networks · Physics 2024-02-21 Francesco Alemanno , Miriam Aquaro , Ido Kanter , Adriano Barra , Elena Agliari

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Hebbian learning of excitatory synapses plays a central role in storing activity patterns in associative memory models. Furthermore, interstimulus Hebbian learning associates multiple items in the brain by converting temporal correlation to…

Neurons and Cognition · Quantitative Biology 2019-08-21 Tatsuya Haga , Tomoki Fukai

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…

Neurons and Cognition · Quantitative Biology 2022-02-25 Elena Kreutzer , Walter M. Senn , Mihai A. Petrovici

Many complex systems can be represented as networks of dynamical elements whose states evolve in response to interactions with neighboring elements, noise and external stimuli. The collective behavior of such systems can exhibit remarkable…

Statistical Mechanics · Physics 2015-09-23 Anand Pathak , Sitabhra Sinha

We propose a design principle for the learning circuits of the biological brain. The principle states that almost any dendritic weights updated via heterosynaptic plasticity can implement a generalized and efficient class of gradient-based…

Neurons and Cognition · Quantitative Biology 2025-05-06 Liu Ziyin , Isaac Chuang , Tomaso Poggio

The exploration of brain networks has reached an important milestone as relatively large and reliable information has been gathered for connectomes of different species. Analyses of connectome data sets reveal that the structural length and…

Biological Physics · Physics 2025-04-03 Michelle T. Cirunay , Rene C. Batac , Géza Odór

Spiking Neural Networks (SNNs) are promising brain-inspired models known for low power consumption and superior potential for temporal processing, but identifying suitable learning mechanisms remains a challenge. Despite the presence of…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Yuzhe Liu , Xin Deng , Qiang Yu

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

Various neurophysiological and cognitive functions are based on transferring information between spiking neurons via a complex system of synaptic connections. In particular, the capacity of presynaptic inputs to influence the postsynaptic…

Neurons and Cognition · Quantitative Biology 2018-10-30 Y. Dabaghian

The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the…

Neurons and Cognition · Quantitative Biology 2009-11-10 Luciano da Fontoura Costa , Regina Celia Coelho