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Memory is often defined as the mental capacity of retaining information about facts, events, procedures and more generally about any type of previous experience. Memories are remembered as long as they influence our thoughts, feelings, and…

Neurons and Cognition · Quantitative Biology 2017-06-16 Stefano Fusi

We show that memory can be encoded in a model amorphous solid subjected to athermal oscillatory shear deformations, and in an analogous spin model with disordered interactions, sharing the feature of a deformable energy landscape. When…

Statistical Mechanics · Physics 2014-01-17 D. Fiocco , G. Foffi , S. Sastry

Efficient pattern separation in dentate gyrus plays an important role in storing information in the hippocampus. Current knowledge of the structure and function of the hippocampus, entorhinal cortex and dentate gyrus, in pattern separation…

Neurons and Cognition · Quantitative Biology 2018-08-02 Faramarz Faghihi , Homa Samani , Ahmed A. Moustafa

In many applications of evolutionary algorithms the computational cost of applying operators and storing populations is comparable to the cost of fitness evaluation. Furthermore, by knowing what exactly has changed in an individual by an…

Neural and Evolutionary Computing · Computer Science 2023-06-30 Maxim Buzdalov

Learning and memory may rely on the ability of neuronal circuits to reorganize by dendritic spine remodeling. We have looked for geometrical parameters of cortical circuits, which maximize information storage capacity associated with this…

Biological Physics · Physics 2007-05-23 Armen Stepanyants

The human brain is the most powerful and efficient machine in existence today, surpassing in many ways the capabilities of modern computers. Currently, lines of research in neuromorphic engineering are trying to develop hardware that mimics…

Neural and Evolutionary Computing · Computer Science 2022-10-06 Daniel Casanueva-Morato , Alvaro Ayuso-Martinez , Juan P. Dominguez-Morales , Angel Jimenez-Fernandez , Gabriel Jimenez-Moreno

Hippocampal place cells can encode spatial locations of an animal in physical or task-relevant spaces. We simulated place cell populations that encoded either Euclidean- or graph-based positions of a rat navigating to goal nodes in a maze…

Neurons and Cognition · Quantitative Biology 2022-11-17 Thibault Niederhauser , Adam Lester , Nina Miolane , Khanh Dao Duc , Manu S. Madhav

The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maximal storage capacity is $\alpha \sim 0.14$, far from the…

Neural and Evolutionary Computing · Computer Science 2018-10-30 Alberto Fachechi , Elena Agliari , Adriano Barra

Complementary Learning Systems theory holds that intelligent agents need two learning systems. Semantic memory is encoded in the neocortex with dense, overlapping representations and acquires structured knowledge. Episodic memory is encoded…

Machine Learning · Computer Science 2025-09-03 Lucie Fontaine , Frédéric Alexandre

This paper proposes the External Hippocampus framework, which models language model reasoning from a cognitive dynamics perspective as the flow of information energy in semantic space. Unlike traditional weight-space optimization methods,…

Artificial Intelligence · Computer Science 2025-12-29 Jian Yan

We study the optimal memorization capacity of modern Hopfield models and Kernelized Hopfield Models (KHMs), a transformer-compatible class of Dense Associative Memories. We present a tight analysis by establishing a connection between the…

Machine Learning · Statistics 2024-11-04 Jerry Yao-Chieh Hu , Dennis Wu , Han Liu

Biological memory solves a problem that eludes current AI: storing specific episodic facts without corrupting general semantic knowledge. Complementary Learning Systems theory explains this through two subsystems - a fast hippocampal system…

Neurons and Cognition · Quantitative Biology 2026-02-05 Oliver Zahn , Matt Beton , Simran Chana

We show how combining a discrete symmetry with topological Hilbert space fragmentation can give rise to exponentially many topologically stable qubits protected by a single discrete symmetry. We illustrate this explicitly with the example…

Quantum Physics · Physics 2025-12-24 Thomas Iadecola , Rahul Nandkishore

Associative memory models retrieve stored information through content-based addressing, mimicking the neural processes of animal brains. The classical Hopfield network-based models store memories as vectors of discrete values and have good…

Neurons and Cognition · Quantitative Biology 2026-01-21 Nurani Rajagopal Rohan , V. Srinivasa Chakravarthy , Sayan Gupta

Classical Hopfield networks are limited to static patterns due to symmetric weights, whereas asymmetric networks can encode temporal sequences via limit-cycle attractors. Achieving high-capacity storage of long sequences in classical…

Machine Learning · Computer Science 2026-05-26 Aakash Kumar , Anatoly Khina , Frederik Mallmann-Trenn , Emanuele Natale

A fundamental cognitive process is the ability to map value and identity onto objects as we learn about them. Exactly how such mental constructs emerge and what kind of space best embeds this mapping remains incompletely understood. Here we…

Neurons and Cognition · Quantitative Biology 2019-05-31 Evelyn Tang , Marcelo G. Mattar , Chad Giusti , Sharon L. Thompson-Schill , Danielle S. Bassett

We study, formally and experimentally, the trade-off in temporal and spatial overhead when managing contiguous blocks of memory using the explicit, dynamic and real-time heap management system Compact-fit (CF). The key property of CF is…

Programming Languages · Computer Science 2014-04-08 Silviu S. Craciunas , Christoph M. Kirsch , Hannes Payer , Harald Röck , Ana Sokolova

In this work we study, analytically and employing Monte Carlo simulations, the influence of the competition between several activity-dependent synaptic processes, such as short-term synaptic facilitation and depression, on the maximum…

Neurons and Cognition · Quantitative Biology 2010-07-23 Jorge F. Mejias , Joaquin J. Torres

We introduce the delta-homology model of memory, a unified framework in which recall, learning, and prediction emerge from cycle closure, the completion of topologically constrained trajectories within the brain's latent manifold. A…

Machine Learning · Computer Science 2025-10-21 Xin Li

A large number of studies have shown the existence of metabolic covalent modifications in different molecular structures, able to store biochemical information that is not encoded by the DNA. Some of these covalent mark patterns can be…

Subcellular Processes · Quantitative Biology 2015-01-12 Ildefonso M. De la Fuente