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In this paper we study robust synchronization of time-fractional Hopfield neural networks with memristive couplings and Hebbian learning rules. This new model of artificial neural networks exhibits strong memory and long-range…

Analysis of PDEs · Mathematics 2025-10-27 Yuncheng You

Drug repositioning is designed to discover new uses of known drugs, which is an important and efficient method of drug discovery. Researchers only use one certain type of Collaborative Filtering (CF) models for drug repositioning currently,…

Machine Learning · Computer Science 2020-11-17 Jieyue He , Xinxing Yang , Zhuo Gong , lbrahim Zamit

The Dense Associative Memory generalizes the Hopfield network by allowing for sharper interaction functions. This increases the capacity of the network as an autoassociative memory as nearby learned attractors will not interfere with one…

Neural and Evolutionary Computing · Computer Science 2024-09-24 Hayden McAlister , Anthony Robins , Lech Szymanski

Recent neuroimaging studies that focus on predicting brain disorders via modern machine learning approaches commonly include a single modality and rely on supervised over-parameterized models.However, a single modality provides only a…

We investigate the computational limits of the memory retrieval dynamics of modern Hopfield models from the fine-grained complexity analysis. Our key contribution is the characterization of a phase transition behavior in the efficiency of…

Machine Learning · Computer Science 2024-06-04 Jerry Yao-Chieh Hu , Thomas Lin , Zhao Song , Han Liu

We discuss how inference can be performed when data are sampled from the non-ergodic phase of systems with multiple attractors. We take as model system the finite connectivity Hopfield model in the memory phase and suggest a cavity method…

Disordered Systems and Neural Networks · Physics 2013-09-03 A. Braunstein , A. Ramezanpour , R. Zecchina , P. Zhang

Modeling episodic memory (EM) remains a significant challenge in both neuroscience and AI, with existing models either lacking interpretability or struggling with practical applications. This paper proposes the Vision-Language Episodic…

Neurons and Cognition · Quantitative Biology 2025-05-09 Chong Li , Taiping Zeng , Xiangyang Xue , Jianfeng Feng

The set of the fixed points of the Hopfield type network is under investigation. The connection matrix of the network is constructed according to the Hebb rule from the set of memorized patterns which are treated as distorted copies of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Leonid B. Litinskii

The Hopfield neural networks and the holographic neural networks are models which were successfully simulated on conventional computers. Starting with these models, an analogous fundamental quantum information processing system is developed…

Quantum Physics · Physics 2007-05-23 Mitja Perus , Horst Bischof

Neural population activity in cortical and hippocampal circuits can be flexibly reorganized by context, suggesting that cognition relies on dynamic manifolds rather than static representations. However, how such dynamic organization can be…

Machine Learning · Computer Science 2026-03-04 Chong Li , Taiping Zeng , Xiangyang Xue , Jianfeng Feng

We analyze a variant of the Hopfield model that incorporates an unlearning mechanism based on spin correlations in the high-temperature regime. In the large system limit where extensively many patterns are stored, we employ the replica…

Disordered Systems and Neural Networks · Physics 2026-02-10 Shuta Takeuchi , Takashi Takahashi , Yoshiyuki Kabashima

Continual learning is the problem of sequentially learning new tasks or knowledge while protecting previously acquired knowledge. However, catastrophic forgetting poses a grand challenge for neural networks performing such learning process.…

Machine Learning · Computer Science 2020-07-01 Vithursan Thangarasa , Thomas Miconi , Graham W. Taylor

We introduce an Outlier-Efficient Modern Hopfield Model (termed $\mathrm{OutEffHop}$) and use it to address the outlier inefficiency problem of {training} gigantic transformer-based models. Our main contribution is a novel associative…

Machine Learning · Computer Science 2024-06-28 Jerry Yao-Chieh Hu , Pei-Hsuan Chang , Robin Luo , Hong-Yu Chen , Weijian Li , Wei-Po Wang , Han Liu

A Hopfield network is an auto-associative, distributive model of neural memory storage and retrieval. A form of error-correcting code, the Hopfield network can learn a set of patterns as stable points of the network dynamic, and retrieve…

Neurons and Cognition · Quantitative Biology 2014-07-24 Ila Fiete , David J. Schwab , Ngoc M. Tran

The central question that we address is: How can structured information be stored in a hierarchical Hopfield model involving hidden layers? To this end, we develop a formalism of strokes and concepts that allows us to appropriately…

Probability · Mathematics 2026-04-29 Markus Heydenreich , Christian Hirsch , Matthias Löwe

Social learning highlights that learning agents improve not in isolation, but through interaction and structured knowledge exchange with others. When introduced into machine learning, this principle gives rise to social machine learning…

Machine Learning · Computer Science 2026-03-27 Liping Yi , Zhiming Zhao , Qinghua Hu

Datasets in the real world are often complex and to some degree hierarchical, with groups and sub-groups of data sharing common characteristics at different levels of abstraction. Understanding and uncovering the hidden structure of these…

Machine Learning · Computer Science 2023-07-10 Aurélien Decelle , Lorenzo Rosset , Beatriz Seoane

Multitask algorithms typically use task similarity information as a bias to speed up and improve the performance of learning processes. Tasks are learned jointly, sharing information across them, in order to construct models more accurate…

Machine Learning · Computer Science 2019-04-11 Marco Frasca , Giuliano Grossi , Giorgio Valentini

Brain networks has attracted the interests of many neuroscientists. From functional MRI (fMRI) data, statistical tools have been developed to recover brain networks. However, the dimensionality of whole-brain fMRI, usually in hundreds of…

Methodology · Statistics 2014-04-08 Xi Luo

On the basis of convolutional (Hamming) version of recent Neural Network Assembly Memory Model (NNAMM) for intact two-layer autoassociative Hopfield network optimal receiver operating characteristics (ROCs) have been derived analytically. A…

Artificial Intelligence · Computer Science 2007-05-23 Petro M. Gopych