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Pipeline parallelism is a crucial paradigm for large-scale model training. However, imbalances in memory footprint across stages can lead to significant GPU memory wastage, limiting the model sizes that pipeline parallelism can effectively…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-12 Xuan Peng , Xuanhua Shi , Haolin Zhang , Yunfei Zhao , Xuehai Qian

In \cite{Hop82}, Hopfield introduced a \emph{Hebbian} learning rule based neural network model and suggested how it can efficiently operate as an associative memory. Studying random binary patterns, he also uncovered that, if a small…

Machine Learning · Statistics 2024-03-05 Mihailo Stojnic

Contemporary ML separates the static structure of parameters from the dynamic flow of inference, yielding systems that lack the sample efficiency and thermodynamic frugality of biological cognition. In this theoretical work, we propose…

Machine Learning · Computer Science 2025-12-09 Xin Li

The Hopfield associative memory model stores random patterns in synaptic couplings according to Hebb's rule and retrieves them through gradient descent on an energy function. This conventional setting, where neurons are assumed to have…

Disordered Systems and Neural Networks · Physics 2026-01-23 Yoshiyuki Kabashima , Kazushi Mimura

Hopfield networks using Hebbian learning suffer from limited storage capacity. While supervised methods like Linear Logistic Regression (LLR) offer some improvement, kernel methods like Kernel Logistic Regression (KLR) significantly enhance…

Machine Learning · Computer Science 2025-08-26 Akira Tamamori

The rapid development of urban low-altitude unmanned aerial vehicle (UAV) economy poses new challenges for dynamic site selection of UAV landing points and supply stations. Traditional deep reinforcement learning methods face computational…

Machine Learning · Computer Science 2025-07-16 Jianing Zhi , Xinghua Li , Zidong Chen

Associative memory architectures are designed for memorization but also offer, through their retrieval method, a form of generalization to unseen inputs: stored memories can be seen as prototypes from this point of view. Focusing on Modern…

Machine Learning · Computer Science 2023-11-14 Matan Abudy , Nur Lan , Emmanuel Chemla , Roni Katzir

The Hopfield model describes a neural network that stores memories using all-to-all-coupled spins. Memory patterns are recalled under equilibrium dynamics. Storing too many patterns breaks the associative recall process because frustration…

The phenomenon of replica symmetry breaking is investigated for the retrieval phases of Hopfield-type network models. The basic calculation is done for the generalized version of the standard model introduced by Horner [1] and by…

Condensed Matter · Physics 2009-10-22 H. Steffan , R. Kühn

Recent works have highlighted the need for a new dynamical paradigm in the modeling of brain function and evolution. Specifically, these models should incorporate non-constant and asymmetric synaptic weights $T_{ij}$ in the neuron-neuron…

Neurons and Cognition · Quantitative Biology 2025-11-03 Franco Cardin , Alberto Lovison , Amos Maritan , Aram Megighian

This study addresses the critical challenge of predicting the Q-distribution in long-term stable nuclear fusion task, a key component for advancing clean energy solutions. We introduce an innovative deep learning framework that employs…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Qingchuan Ma , Shiao Wang , Tong Zheng , Xiaodong Dai , Yifeng Wang , Qingquan Yang , Xiao Wang

Biological intelligence emerges from substrates that are slow, noisy, and energetically constrained, yet it performs rapid and coherent inference in open-ended environments. Classical computational theories, built around vector-space…

Neurons and Cognition · Quantitative Biology 2026-05-12 Xin Li

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Dmitry Krotov

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

To efficiently scale large model (LM) training, researchers transition from data parallelism (DP) to hybrid parallelism (HP) on GPU clusters, which frequently experience hardware and software failures. Existing works introduce in-memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-20 Yuxin Wang , Xueze Kang , Shaohuai Shi , Xin He , Zhenheng Tang , Xinglin Pan , Yang Zheng , Xiaoyu Wu , Amelie Chi Zhou , Bingsheng He , Xiaowen Chu

Overfitting in deep neural networks occurs less frequently than expected. This is a puzzling observation, as theory predicts that greater model capacity should eventually lead to overfitting -- yet this is rarely seen in practice. But what…

Machine Learning · Computer Science 2025-07-14 Uri Stern , Eli Corn , Daphna Weinshall

Spiking Neural Networks (SNNs) are gaining attention for their energy efficiency and biological plausibility, utilizing 0-1 activation sparsity through spike-driven computation. While existing SNN accelerators exploit this sparsity to skip…

Hardware Architecture · Computer Science 2025-05-19 Chiyue Wei , Bowen Duan , Cong Guo , Jingyang Zhang , Qingyue Song , Hai "Helen" Li , Yiran Chen

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

While large language models (LLMs) exhibit remarkable capabilities, they increasingly face demands to unlearn memorized privacy-sensitive, copyrighted, or harmful content. Existing unlearning methods primarily focus on \emph{single-shot}…

Computation and Language · Computer Science 2026-05-08 Xiaoyu Xu , Minxin Du , Kun Fang , Yaxin Xiao , Zhicong Huang , Cheng Hong , Qingqing Ye , Haibo Hu

Machine Unlearning (MU) aims at removing the influence of specific data from a pretrained model while preserving performance on the remaining data. In this work, a novel perspective for MU is presented upon low-dimensional feature…

Machine Learning · Computer Science 2026-02-02 Kun Fang , Qinghua Tao , Junxu Liu , Yaxin Xiao , Qingqing Ye , Jian Sun , Haibo Hu