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This paper introduces a learning framework for Three-Directional Associative Memory (TAM) models, extending the classical Hebbian paradigm to both supervised and unsupervised protocols within an hetero-associative setting. These neural…

Disordered Systems and Neural Networks · Physics 2025-11-25 Andrea Alessandrelli , Adriano Barra , Andrea Ladiana , Andrea Lepre , Federico Ricci-Tersenghi

We introduce the Dreaming $L$-directional Associative Memory (DLAM), a multi-layer Hebbian architecture in which off-line dreaming and supervised heteroassociative coupling coexist within a single energy function, placing our approach…

Disordered Systems and Neural Networks · Physics 2026-05-14 Adriano Barra , Fabrizio Durante , Andrea Ladiana , Michela Marra Solazzo

Auto-associative neural networks (e.g., the Hopfield model implementing the standard Hebbian prescription) serve as a foundational framework for pattern recognition and associative memory in statistical mechanics. However, their…

Disordered Systems and Neural Networks · Physics 2025-06-03 Elena Agliari , Andrea Alessandrelli , Adriano Barra , Martino Salomone Centonze , Federico Ricci-Tersenghi

Associative memory models such as the Hopfield network and its dense generalizations with higher-order interactions exhibit a "blackout catastrophe" -- a discontinuous transition where stable memory states abruptly vanish when the number of…

Disordered Systems and Neural Networks · Physics 2026-03-24 David G. Clark

Recurrent neural networks (RNNs) and self-attention are both widely used sequence-mixing layers that maintain an internal memory. However, this memory is constructed using two orthogonal mechanisms: RNNs compress the entire past into a…

Machine Learning · Computer Science 2026-03-30 Leon Lufkin , Tomás Figliolia , Beren Millidge , Kamesh Krishnamurthy

Higher-order interactions underlie complex phenomena in systems such as biological and artificial neural networks, but their study is challenging due to the scarcity of tractable models. By leveraging a generalisation of the maximum entropy…

Disordered Systems and Neural Networks · Physics 2025-12-10 Miguel Aguilera , Pablo A. Morales , Fernando E. Rosas , Hideaki Shimazaki

It has been shown that semi-parametric methods, which combine standard neural networks with non-parametric components such as external memory modules and data retrieval, are particularly helpful in data scarcity and out-of-distribution…

Machine Learning · Computer Science 2023-10-18 Zihan Qiu , Zhen Liu , Shuicheng Yan , Shanghang Zhang , Jie Fu

Federated learning is an emerging research paradigm enabling collaborative training of machine learning models among different organizations while keeping data private at each institution. Despite recent progress, there remain fundamental…

Machine Learning · Computer Science 2022-04-15 Liangqiong Qu , Yuyin Zhou , Paul Pu Liang , Yingda Xia , Feifei Wang , Ehsan Adeli , Li Fei-Fei , Daniel Rubin

We study the problem of cooperative inference where a group of agents interact over a network and seek to estimate a joint parameter that best explains a set of observations. Agents do not know the network topology or the observations of…

Optimization and Control · Mathematics 2017-04-11 Angelia Nedić , Alex Olshevsky , César A. Uribe

We introduce in-context denoising, a task that refines the connection between attention-based architectures and dense associative memory (DAM) networks, also known as modern Hopfield networks. Using a Bayesian framework, we show…

Machine Learning · Computer Science 2025-06-09 Matthew Smart , Alberto Bietti , Anirvan M. Sengupta

LLM agents increasingly rely on memory mechanisms to reuse knowledge from past problem-solving experiences. However, existing methods typically construct memory for a single agent and reuse it with the same underlying model, tightly…

Artificial Intelligence · Computer Science 2026-05-29 Yurui Chang , Yiran Wu , Qingyun Wu , Lu Lin

We investigate a new method to augment recurrent neural networks with extra memory without increasing the number of network parameters. The system has an associative memory based on complex-valued vectors and is closely related to…

Neural and Evolutionary Computing · Computer Science 2016-05-20 Ivo Danihelka , Greg Wayne , Benigno Uria , Nal Kalchbrenner , Alex Graves

Parallelization and External Memory (PEM) techniques have significantly enhanced the capabilities of search algorithms when solving large-scale problems. Previous research on PEM has primarily centered on unidirectional algorithms, with…

Artificial Intelligence · Computer Science 2025-01-06 Lior Siag , Shahaf S. Shperberg , Ariel Felner , Nathan R. Sturtevant

Clustering is a widely used unsupervised learning technique involving an intensive discrete optimization problem. Associative Memory models or AMs are differentiable neural networks defining a recursive dynamical system, which have been…

Machine Learning · Computer Science 2023-06-07 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

The entropic associative memory (EAM) is a computational model of natural memory incorporating some of its putative properties of being associative, distributed, declarative, abstractive and constructive. Previous experiments satisfactorily…

Machine Learning · Computer Science 2024-05-22 Noé Hernández , Rafael Morales , Luis A. Pineda

We study the use of hypermodels to represent epistemic uncertainty and guide exploration. This generalizes and extends the use of ensembles to approximate Thompson sampling. The computational cost of training an ensemble grows with its…

Machine Learning · Computer Science 2020-06-16 Vikranth Dwaracherla , Xiuyuan Lu , Morteza Ibrahimi , Ian Osband , Zheng Wen , Benjamin Van Roy

Quantum particles co-propagating on disordered lattices develop complex non-classical correlations due to an interplay between quantum statistics, inter-particle interactions, and disorder. Here we present a deep learning algorithm based on…

Quantum Physics · Physics 2022-02-01 Miri Kenig , Yoav Lahini

With recent breakthroughs in large language models (LLMs) for reasoning, planning, and complex task generation, artificial intelligence systems are transitioning from isolated single-agent architectures to multi-agent systems with…

Artificial Intelligence · Computer Science 2026-02-17 Linlin Wang , Tianqing Zhu , Laiqiao Qin , Longxiang Gao , Wanlei Zhou

Continual acquisition of novel experience without interfering previously learned knowledge, i.e. continual learning, is critical for artificial neural networks, but limited by catastrophic forgetting. A neural network adjusts its parameters…

Machine Learning · Computer Science 2022-02-15 Liyuan Wang , Bo Lei , Qian Li , Hang Su , Jun Zhu , Yi Zhong

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

Machine Learning · Computer Science 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili
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