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Persistent neural activity associated with working memory (WM) lasts for a limited time duration. Current theories suggest that its termination is \textit{actively} obtained via inhibitory currents, and there is currently no theory…

Neurons and Cognition · Quantitative Biology 2024-02-05 Hillel Sanhedrai , Shlomo Havlin , Hila Dvir

We study stable matching problems with locality of information and control. In our model, each agent is a node in a fixed network and strives to be matched to another agent. An agent has a complete preference list over all other agents it…

Data Structures and Algorithms · Computer Science 2016-11-22 Martin Hoefer , Lisa Wagner

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

At the intersection of computation and cognitive science, graph theory is utilized as a formalized description of complex relationships and structures. Traditional graph models are often static, lacking dynamic and autonomous behavioral…

Neurons and Cognition · Quantitative Biology 2024-06-11 Hui Wei , Chenyue Feng , Jianning Zhang

Learning and memory are acquired through long-lasting changes in synapses. In the simplest models, such synaptic potentiation typically leads to runaway excitation, but in reality there must exist processes that robustly preserve overall…

Neurons and Cognition · Quantitative Biology 2016-10-26 Yogesh S. Virkar , Woodrow L. Shew , Juan G. Restrepo , Edward Ott

A growing body of research indicates that structural plasticity mechanisms are crucial for learning and memory consolidation. Starting from a simple phenomenological model, we exploit a mean-field approach to develop a theoretical framework…

Neurons and Cognition · Quantitative Biology 2024-06-19 Gianmarco Tiddia , Luca Sergi , Bruno Golosio

In recent years, nonlinear dynamic system identification using artificial neural networks has garnered attention due to its broad potential applications across science and engineering. However, purely data-driven approaches often struggle…

Machine Learning · Computer Science 2025-11-06 Fabian J. Roth , Dominik K. Klein , Maximilian Kannapinn , Jan Peters , Oliver Weeger

Biological neural networks self-organize according to local synaptic modifications to produce stable computations. How modifications at the synaptic level give rise to such computations at the network level remains an open question.…

Neurons and Cognition · Quantitative Biology 2026-01-21 David Lipshutz , Robert J. Lipshutz

While cognitive representations of an environment can last for days and even months, the synaptic architecture of the neuronal networks that underlie these representations constantly changes due to various forms of synaptic and structural…

Neurons and Cognition · Quantitative Biology 2016-06-10 Andrey Babichev , Yuri Dabaghian

The invariance of natural objects under perceptual changes is possibly encoded in the brain by symmetries in the graph of synaptic connections. The graph can be established via unsupervised learning in a biologically plausible process…

Neural and Evolutionary Computing · Computer Science 2023-05-30 Helmut Linde

We investigate recurrent neural networks with asymmetric interactions and demonstrate that the inclusion of self-couplings or sparse excitatory inter-module connections leads to the emergence of a densely connected manifold of dynamically…

Disordered Systems and Neural Networks · Physics 2026-01-01 Davide Badalotti , Carlo Baldassi , Marc Mézard , Mattia Scardecchia , Riccardo Zecchina

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for…

Neurons and Cognition · Quantitative Biology 2023-03-23 Fabio Schittler Neves , Marc Timme

When someone mentions the name of a known person we immediately recall her face and possibly many other traits. This is because we possess the so-called associative memory, that is the ability to correlate different memories to the same…

Neurons and Cognition · Quantitative Biology 2010-08-26 Yuriy V. Pershin , Massimiliano Di Ventra

Despite their impressive performance, contemporary neural networks often lack structural safeguards that promote stable learning and interpretable behavior. In this work, we introduce a reformulation of layer-level transformations that…

Machine Learning · Computer Science 2025-08-04 Saleh Nikooroo , Thomas Engel

Neuronal dynamics is intrinsically unstable, producing activity fluctuations that are essentially scale-free. Here we show that while these scale-free fluctuations are independent of temporal input statistics, they can be entrained by input…

Neurons and Cognition · Quantitative Biology 2013-05-02 Asaf Gal , Shimon Marom

We report on both analytical and numerical results concerning stochastic Hopfield--like neural automata exhibiting the following (biologically inspired) features: (1) Neurons and synapses evolve in time as in contact with respective baths…

Statistical Mechanics · Physics 2007-05-23 J. J. Torres , J. Marro , P. L. Garrido , J. M. Cortes , F. Ramos , M. A. Munoz

Memory systems can store vastly different amounts of information despite similar hardware constraints. Here, we show that superior spatial memory emerges from a discrete stiffening of hippocampal population geometry-a transition from…

Neurons and Cognition · Quantitative Biology 2026-05-19 Prashant C. Raju

We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

Continuous attractors have been used to understand recent neuroscience experiments where persistent activity patterns encode internal representations of external attributes like head direction or spatial location. However, the conditions…

Disordered Systems and Neural Networks · Physics 2019-01-01 Weishun Zhong , Zhiyue Lu , David J Schwab , Arvind Murugan

A memristor is a nonlinear two-terminal electrical element that incorporates memory features and nanoscale properties, enabling us to design very high-density artificial neural networks. To enhance the memory property, we should use…

Dynamical Systems · Mathematics 2022-07-07 Leila Eftekhari , Mohammad M. Amirian
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