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We examine a previouly introduced attractor neural network model that explains the persistent activities of neurons in the anterior ventral temporal cortex of the brain. In this model, the coexistence of several attractors including…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Uezu , A. Hirano , M. Okada

Continuous attractor neural networks generate a set of smoothly connected attractor states. In memory systems of the brain, these attractor states may represent continuous pieces of information such as spatial locations and head directions…

Disordered Systems and Neural Networks · Physics 2019-01-16 Chi Chung Alan Fung , Tomoki Fukai

The human brain is a dynamical system whose extremely complex sensor-driven neural processes give rise to conceptual, logical cognition. Understanding the interplay between nonlinear neural dynamics and concept-level cognition remains a…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Herbert Jaeger

Neuromorphic chips embody computational principles operating in the nervous system, into microelectronic devices. In this domain it is important to identify computational primitives that theory and experiments suggest as generic and…

Neural and Evolutionary Computing · Computer Science 2015-06-18 Massimiliano Giulioni , Federico Corradi , Vittorio Dante , Paolo del Giudice

We study Hopfield networks with non-reciprocal coupling inducing switches between memory patterns. Dynamical phase transitions occur between phases of no memory retrieval, retrieval of multiple point-attractors, and limit-cycle attractors.…

Disordered Systems and Neural Networks · Physics 2025-10-21 Shuyue Xue , Mohammad Maghrebi , George I. Mias , Carlo Piermarocchi

Emotion recognition from multi-modal physiological and behavioral signals plays a pivotal role in affective computing, yet most existing models remain constrained to the prediction of singular emotions in controlled laboratory settings.…

Machine Learning · Computer Science 2026-02-25 Ming Li , Yong-Jin Liu , Fang Liu , Huankun Sheng , Yeying Fan , Yixiang Wei , Minnan Luo , Weizhan Zhang , Wenping Wang

Heteroclinic dynamics is a suitable framework for describing transient and reproducible dynamics such as cognitive processes in the brain. We demonstrate how heteroclinic units can act as pacemakers to entrain larger sets of units from a…

Dynamical Systems · Mathematics 2022-07-22 Bhumika Thakur , Hildegard Meyer-Ortmanns

We discuss memory models which are based on tensor decompositions using latent representations of entities and events. We show how episodic memory and semantic memory can be realized and discuss how new memory traces can be generated from…

Artificial Intelligence · Computer Science 2017-08-29 Volker Tresp , Yunpu Ma

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

Conversational memory is the process by which humans encode, retain and retrieve verbal, non-verbal and contextual information from a conversation. Since human memory is selective, differing recollections of the same events can lead to…

Computation and Language · Computer Science 2024-10-16 Maria Tsfasman , Bernd Dudzik , Kristian Fenech , Andras Lorincz , Catholijn M. Jonker , Catharine Oertel

This paper studies a dynamical system that models the free recall dynamics of working memory. This model is a modular neural network with n modules, named hypercolumns, and each module consists of m minicolumns. Under mild conditions on the…

Systems and Control · Electrical Eng. & Systems 2022-09-23 Tianhao Li , Zhixin Liu , Lizheng Liu , Xiaoming Hu

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

This paper presents a hetero-associative sequential memory system for mobile manipulators that learns compact, neuromorphic bindings between robot joint states and tactile observations to produce step-wise action decisions with low compute…

Robotics · Computer Science 2025-12-09 Runcong Wang , Fengyi Wang , Gordon Cheng

IntroductionThe free and cued selective reminding test is used to identify memory deficits in mild cognitive impairment and demented patients. It allows assessing three processes: encoding, storage, and recollection of verbal episodic…

We propose a topological framework for memory and inference grounded in the structure of spike-timing dynamics, persistent homology, and the Context-Content Uncertainty Principle (CCUP). Starting from the observation that polychronous…

Neurons and Cognition · Quantitative Biology 2025-08-19 Xin Li

We discuss, in this paper, the dynamical properties of extremely diluted, non-monotonic neural networks. Assuming parallel updating and the Hebb prescription for the synaptic connections, a flow equation for the macroscopic overlap is…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. S. Mainieri , R. Erichsen

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

Short-term memory in the brain cannot in general be explained the way long-term memory can -- as a gradual modification of synaptic weights -- since it takes place too quickly. Theories based on some form of cellular bistability, however,…

Neurons and Cognition · Quantitative Biology 2013-01-31 Samuel Johnson , J. Marro , Joaquín J. Torres

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

Topological techniques have become a popular tool for studying information flows in neural networks. In particular, simplicial homology theory is used to analyze how cognitive representations of space emerge from large conglomerates of…

Neurons and Cognition · Quantitative Biology 2025-02-19 Andrey Babichev , Vladimir Vashin , Yuri Dabaghian