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While linear attention architectures offer efficient inference, compressing unbounded history into a fixed-size memory inherently limits expressivity and causes information loss. To address this limitation, we introduce Random Access Memory…

Machine Learning · Computer Science 2026-02-13 Kaicheng Xiao , Haotian Li , Liran Dong , Guoliang Xing

The Hopfield model is a pioneering neural network model with associative memory retrieval. The analytical solution of the model in mean field limit revealed that memories can be retrieved without any error up to a finite storage capacity of…

Disordered Systems and Neural Networks · Physics 2017-10-31 Do-Hyun Kim , Jinha Park , B. Kahng

Expandable networks have demonstrated their advantages in dealing with catastrophic forgetting problem in incremental learning. Considering that different tasks may need different structures, recent methods design dynamic structures adapted…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Guimei Cao , Zhanzhan Cheng , Yunlu Xu , Duo Li , Shiliang Pu , Yi Niu , Fei Wu

We analyze continuous Hopfield associative memories augmented by additional, rapid short-term associative synaptic plasticity. Through the cavity method, we determine the boundary between the retrieval and forgetting, or spin-glass phase,…

Neurons and Cognition · Quantitative Biology 2026-02-10 Martina Del Gaudio , Federico Ghimenti , Surya Ganguli

The Hopfield network (HN) is a classical model of associative memory whose dynamics are closely related to the Ising spin system with 2-body interactions. Stored patterns are encoded as minima of an energy function shaped by a Hebbian…

Applied Physics · Physics 2025-09-23 Marco Cafiso , Paolo Paradisi

Deep learning has taken part in the competition since not long ago to learn and identify phase transitions in physical systems such as many body quantum systems, whose underlying lattice structures are generally regular as they're in…

Physics and Society · Physics 2020-01-08 Qi Ni , Jie Kang , Ming Tang , Ying Liu , Yong Zou

The self-attention mechanism is the backbone of the transformer neural network underlying most large language models. It can capture complex word patterns and long-range dependencies in natural language. This paper introduces exponential…

Machine Learning · Statistics 2025-01-29 Kevin Christian Wibisono , Yixin Wang

A central challenge in cognitive neuroscience is to explain how semantic and episodic memory, two major forms of declarative memory, typically associated with cortical and hippocampal processing, interact to support learning, recall, and…

Neurons and Cognition · Quantitative Biology 2026-02-19 Marco D'Alessandro , Leo D'Amato , Mikel Elkano , Mikel Uriz , Giovanni Pezzulo

End-to-End (E2E) unrolled optimization frameworks show promise for Magnetic Resonance (MR) image recovery, but suffer from high memory usage during training. In addition, these deterministic approaches do not offer opportunities for…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Jyothi Rikhab Chand , Mathews Jacob

While the emergence of large administrative claims data provides opportunities for research, their use remains limited by the lack of clinical annotations relevant to disease outcomes, such as recurrence in breast cancer (BC). Several…

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

The increase in computation and storage has led to a significant growth in the scale of systems powering applications and services, raising concerns about sustainability and operational costs. In this paper, we explore power-saving…

Networking and Internet Architecture · Computer Science 2026-04-22 Miguel Sánchez de la Rosa , Francisco J. andújar , Jesus Escudero-Sahuquillo , José L. Sánchez , Francisco J. Alfaro-Cortés

Recently, many plug-and-play self-attention modules are proposed to enhance the model generalization by exploiting the internal information of deep convolutional neural networks (CNNs). Previous works lay an emphasis on the design of…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Zhongzhan Huang , Senwei Liang , Mingfu Liang , Wei He , Haizhao Yang

In this work we propose an energy functional along the lines of Modern Hopfield Networks (MNH), the stationary points of which correspond to the attention due to Vaswani et al. [12], thus unifying both frameworks. The minima of this…

Machine Learning · Statistics 2025-06-16 Ahmed Farooq

We propose to learn energy-based model (EBM) in the latent space of a generator model, so that the EBM serves as a prior model that stands on the top-down network of the generator model. Both the latent space EBM and the top-down network…

Machine Learning · Statistics 2020-10-30 Bo Pang , Tian Han , Erik Nijkamp , Song-Chun Zhu , Ying Nian Wu

Modern power systems with high penetration of inverter-based resources exhibit complex dynamic behaviors that challenge the scalability and generalizability of traditional stability assessment methods. This paper presents a dynamic…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Guang An Ooi , Otavio Bertozzi , Mohd Asim Aftab , Charalambos Konstantinou , Shehab Ahmed

We introduce a modern Hopfield network with continuous states and a corresponding update rule. The new Hopfield network can store exponentially (with the dimension of the associative space) many patterns, retrieves the pattern with one…

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

Driven by the vision of edge computing and the success of rich cognitive services based on artificial intelligence, a new computing paradigm, edge cognitive computing (ECC), is a promising approach that applies cognitive computing at the…

Networking and Internet Architecture · Computer Science 2018-08-23 Min Chen , Wei Li , Giancarlo Fortino , Yixue Hao , Long Hu , Iztok Humar

This work aims to enable persistent, event-driven sensing and decision capabilities for energy-harvesting (EH)-powered devices by deploying lightweight DNNs onto EH-powered devices. However, harvested energy is usually weak and…

Machine Learning · Computer Science 2020-07-24 Yawen Wu , Zhepeng Wang , Zhenge Jia , Yiyu Shi , Jingtong Hu
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