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Our brains encode many features of the sensory world into memories: we can sing along with songs we have heard before, interpret spoken and written language composed of words we have learned, and recognize faces and objects. Where are these…

Neurons and Cognition · Quantitative Biology 2025-01-22 Mark H. Histed

The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age corresponds to the elapsed time since the last discharge, and models…

Dynamical Systems · Mathematics 2025-04-28 María J. Cáceres , José A Cañizo , Nicolas Torres

Dense associative memory, a fundamental instance of modern Hopfield networks, can store a large number of memory patterns as equilibrium states of recurrent networks. While the stationary-state storage capacity has been investigated, its…

Disordered Systems and Neural Networks · Physics 2025-10-29 Kazushi Mimura , Jun'ichi Takeuchi , Yuto Sumikawa , Yoshiyuki Kabashima , Anthony C. C. Coolen

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and…

Machine Learning · Computer Science 2020-09-17 G Manjunath

We investigate a nonlinear dynamical system which ``remembers'' preselected values of a system parameter. The deterministic version of the system can encode many parameter values during a transient period, but in the limit of long times,…

Condensed Matter · Physics 2009-10-31 M. L. Povinelli , S. N. Coppersmith , L. P. Kadanoff , S. R. Nagel , S. C. Venkataramani

Synaptic connections in neuronal circuits are modulated by pre- and post-synaptic spiking activity. Heuristic models of this process of synaptic plasticity can provide excellent fits to results from in-vitro experiments in which pre- and…

Neurons and Cognition · Quantitative Biology 2022-07-14 Federico Devalle , Alex Roxin

Standard accounts of memory consolidation emphasise the stabilisation of stored representations, but struggle to explain representational drift, semanticisation, or the necessity of offline replay. Here we propose that high-capacity…

Neurons and Cognition · Quantitative Biology 2026-03-06 Zafeirios Fountas , Adnan Oomerjee , Haitham Bou-Ammar , Jun Wang , Neil Burgess

Cortical sensory neurons are known to be highly variable, in the sense that responses evoked by identical stimuli often change dramatically from trial to trial. The origin of this variability is uncertain, but it is usually interpreted as…

Neurons and Cognition · Quantitative Biology 2007-05-23 Gleb Basalyga , Emilio Salinas

A common view in the neuroscience community is that memory is encoded in the connection strength between neurons. This perception led artificial neural network models to focus on connection weights as the key variables to modulate learning.…

Neural and Evolutionary Computing · Computer Science 2022-02-22 Hananel Hazan , Simon Caby , Christopher Earl , Hava Siegelmann , Michael Levin

Growing neuropsychological and neurophysiological evidence suggests that the visual cortex uses parts-based representations to encode, store and retrieve relevant objects. In such a scheme, objects are represented as a set of spatially…

Neurons and Cognition · Quantitative Biology 2015-03-13 Jenia Jitsev , Christoph von der Malsburg

When we experience an event, it feels like our previous experiences, our interpretations of that event (e.g., aesthetics, emotions), and our current state will determine how we will remember it. However, recent work has revealed a strong…

Neurons and Cognition · Quantitative Biology 2021-04-15 Wilma A. Bainbridge

Traditional approaches to understanding the brain's resilience to neuropathology have identified neurophysiological variables, often described as brain or cognitive 'reserve,' associated with better outcomes. However, mechanisms of function…

Neurons and Cognition · Quantitative Biology 2017-01-18 John D. Medaglia , Fabio Pasqualetti , Roy H. Hamilton , Sharon L. Thompson-Schill , Danielle S. Bassett

Several guiding principles for thought processes are proposed and a neural-network-type model implementing these principles is presented and studied. We suggest to consider thinking within an associative network built-up of overlapping…

Neurons and Cognition · Quantitative Biology 2007-05-23 Claudius Gros

Recent studies point to the potential storage of a large number of patterns in the celebrated Hopfield associative memory model, well beyond the limits obtained previously. We investigate the properties of new fixed points to discover that…

Disordered Systems and Neural Networks · Physics 2017-11-22 Jacopo Rocchi , David Saad , Daniele Tantari

Lifelong learning capabilities are crucial for artificial autonomous agents operating on real-world data, which is typically non-stationary and temporally correlated. In this work, we demonstrate that dynamically grown networks outperform…

Neural and Evolutionary Computing · Computer Science 2018-12-03 German I. Parisi , Xu Ji , Stefan Wermter

Structured state-space models (SSMs) have been developed to offer more persistent memory retention than traditional recurrent neural networks, while maintaining real-time inference capabilities and addressing the time-complexity limitations…

Machine Learning · Computer Science 2025-09-09 Takashi Morita

We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

There is evidence that biological synapses have only a fixed number of discrete weight states. Memory storage with such synapses behaves quite differently from synapses with unbounded, continuous weights as old memories are automatically…

Neurons and Cognition · Quantitative Biology 2008-03-14 Adam B. Barrett , M. C. W. van Rossum

Persistent activity in neuronal populations has been shown to represent the spatial position of remembered stimuli. Networks that support bump attractors are often used to model such persistent activity. Such models usually exhibit…

Neurons and Cognition · Quantitative Biology 2013-08-26 Sam Carroll , Kresimir Josic , Zachary P Kilpatrick

Neuronal networks provide living organisms with the ability to process information. They are also characterized by abundant recurrent connections, which give rise to strong feedback that dictates their dynamics and endows them with fading…

Neurons and Cognition · Quantitative Biology 2020-06-24 Miguel A. Casal , Santiago Galella , Oscar Vilarroya , Jordi Garcia-Ojalvo