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相关论文: On Sparse Modern Hopfield Model

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Major complications arise from the recent increase in the amount of high-dimensional data, including high computational costs and memory requirements. Feature selection, which identifies the most relevant and informative attributes of a…

The Transformer architecture, despite its widespread success, struggles with long-context scenarios due to quadratic computation and linear memory growth. While various linear attention variants mitigate these efficiency constraints by…

机器学习 · 计算机科学 2025-10-02 Yuqi Pan , Yongqi An , Zheng Li , Yuhong Chou , Ruijie Zhu , Xiaohui Wang , Mingxuan Wang , Jinqiao Wang , Guoqi Li

Storing memory for molecular recognition is an efficient strategy for responding to external stimuli. Biological processes use different strategies to store memory. In the olfactory cortex, synaptic connections form when stimulated by an…

生物物理 · 物理学 2021-06-07 Oskar H Schnaack , Luca Peliti , Armita Nourmohammad

The \emph{Daydreaming} algorithm was proposed as a learning rule that simultaneously reinforces stored patterns and suppresses spurious attractors to improve the storage capacity of the Hopfield model. Its effectiveness has been reported…

无序系统与神经网络 · 物理学 2026-04-22 Mikiya Doi , Masayuki Ohzeki , Federico Ricci-Tersenghi

Optimizing with group sparsity is significant in enhancing model interpretability in machining learning applications, e.g., feature selection, compressed sensing and model compression. However, for large-scale stochastic training problems,…

最优化与控制 · 数学 2021-02-16 Tianyi Chen , Guanyi Wang , Tianyu Ding , Bo Ji , Sheng Yi , Zhihui Zhu

Despite their recent popularity and well-known advantages, dense retrievers still lag behind sparse methods such as BM25 in their ability to reliably match salient phrases and rare entities in the query and to generalize to out-of-domain…

Vision-Language Pretrained (VLP) models have achieved impressive performance on multimodal tasks, including text-image retrieval, based on dense representations. Meanwhile, Learned Sparse Retrieval (LSR) has gained traction in text-only…

计算与语言 · 计算机科学 2025-08-26 Jonghyun Song , Youngjune Lee , Gyu-Hwung Cho , Ilhyeon Song , Saehun Kim , Yohan Jo

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

动力系统 · 数学 2026-02-18 Teddy Meissner , Karl Glasner

Interpolation-based trust-region methods are an important class of algorithms for Derivative-Free Optimization which rely on locally approximating an objective function by quadratic polynomial interpolation models, frequently built from…

最优化与控制 · 数学 2013-06-25 Afonso S. Bandeira , Katya Scheinberg , Luis Nunes Vicente

The computational demands of self-attention mechanisms pose a critical challenge for transformer-based video generation, particularly in synthesizing ultra-long sequences. Current approaches, such as factorized attention and fixed sparse…

计算机视觉与模式识别 · 计算机科学 2025-08-19 Qirui Li , Guangcong Zheng , Qi Zhao , Jie Li , Bin Dong , Yiwu Yao , Xi Li

We study a fully connected Hopfield-type associative memory network with online activity-dependent synaptic plasticity, where neural states and synaptic couplings coevolve during retrieval. Using the generating-functional formalism, we…

无序系统与神经网络 · 物理学 2026-05-22 Yoshinori Hara , Yoshiyuki Kabashima

Large language models (LLMs) encounter computational challenges during long-sequence inference, especially in the attention pre-filling phase, where the complexity grows quadratically with the prompt length. Previous efforts to mitigate…

机器学习 · 计算机科学 2025-03-03 Xunhao Lai , Jianqiao Lu , Yao Luo , Yiyuan Ma , Xun Zhou

We study the problem of learning associative memory -- a system which is able to retrieve a remembered pattern based on its distorted or incomplete version. Attractor networks provide a sound model of associative memory: patterns are stored…

机器学习 · 统计学 2021-04-21 Sergey Bartunov , Jack W Rae , Simon Osindero , Timothy P Lillicrap

The support recovery problem consists of determining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as compressive sensing, and subset selection in…

信息论 · 计算机科学 2016-08-31 Jonathan Scarlett , Volkan Cevher

Associative memory models based on Hopfield networks and self-attention based on key-value mechanisms have been popular approaches in the study of memory mechanisms in deep learning. It has been pointed out that the state update rule of the…

机器学习 · 计算机科学 2025-11-27 Tsubasa Masumura , Masato Taki

Neoteric works have shown that modern deep learning models can exhibit a sparse double descent phenomenon. Indeed, as the sparsity of the model increases, the test performance first worsens since the model is overfitting the training data;…

机器学习 · 计算机科学 2024-02-09 Victor Quétu , Enzo Tartaglione

A central problem in learning from sequential data is representing cumulative history in an incremental fashion as more data is processed. We introduce a general framework (HiPPO) for the online compression of continuous signals and…

机器学习 · 计算机科学 2020-10-26 Albert Gu , Tri Dao , Stefano Ermon , Atri Rudra , Christopher Re

Associative Memories like the famous Hopfield Networks are elegant models for describing fully recurrent neural networks whose fundamental job is to store and retrieve information. In the past few years they experienced a surge of interest…

机器学习 · 计算机科学 2025-10-06 Dmitry Krotov , Benjamin Hoover , Parikshit Ram , Bao Pham

We consider the problem of estimating the sparse time-varying parameter vectors of a point process model in an online fashion, where the observations and inputs respectively consist of binary and continuous time series. We construct a novel…

神经与进化计算 · 计算机科学 2016-04-20 Alireza Sheikhattar , Jonathan B. Fritz , Shihab A. Shamma , Behtash Babadi

Attention serves as the fundamental mechanism for long-context modeling in large language models (LLMs), yet dense attention becomes structurally prohibitive for long sequences due to its quadratic complexity. Consequently, sparse attention…

计算与语言 · 计算机科学 2026-01-07 Junxiang Qiu , Shuo Wang , Zhengsu Chen , Hengheng Zhang , Jinda Lu , Changcheng Li , Qi Tian