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Attention mechanisms have been extensively employed in various applications, including time series modeling, owing to their capacity to capture intricate dependencies; however, their utility is often constrained by quadratic computational…

Machine Learning · Computer Science 2025-11-06 Mingtao Zhang , Guoli Yang , Zhanxing Zhu , Mengzhu Wang , Xiaoying Bai

Existing Continual Learning (CL) approaches have focused on addressing catastrophic forgetting by leveraging regularization methods, replay buffers, and task-specific components. However, realistic CL solutions must be shaped not only by…

Machine Learning · Computer Science 2023-10-11 Jinyung Hong , Theodore P. Pavlic

Scaling pre-trained language models has resulted in large performance gains in various natural language processing tasks but comes with a large cost in memory requirements. Inspired by the position embeddings in transformers, we aim to…

Computation and Language · Computer Science 2023-10-13 Huiyin Xue , Nikolaos Aletras

The storage capacity of the Hopfield model is about 15% of the network size. It can be increased significantly in the Potts-glass model of the associative memory only. In this model neurons can be in more than two different states. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. V. Kryzhanovsky , L. B. Litinskii , A. L. Mikaelyan

Deep reinforcement learning algorithms are usually impeded by sampling inefficiency, heavily depending on multiple interactions with the environment to acquire accurate decision-making capabilities. In contrast, humans rely on their…

Machine Learning · Computer Science 2024-03-07 Yonggang Jin , Chenxu Wang , Tianyu Zheng , Liuyu Xiang , Yaodong Yang , Junge Zhang , Jie Fu , Zhaofeng He

In this research paper novel real/complex valued recurrent Hopfield Neural Network (RHNN) is proposed. The method of synthesizing the energy landscape of such a network and the experimental investigation of dynamics of Recurrent Hopfield…

Neural and Evolutionary Computing · Computer Science 2015-02-10 Rama Garimella , Berkay Kicanaoglu , Moncef Gabbouj

An agent that operates sequentially must incorporate new experience without forgetting old experience, under a fixed memory budget. We propose a framework in which memory is not a parameter vector but a stochastic process: a Bridge…

Machine Learning · Computer Science 2026-04-02 Michael Chertkov

Deep neural networks with short residual connections have demonstrated remarkable success across domains, but increasing depth often introduces computational redundancy without corresponding improvements in representation quality. We…

Machine Learning · Computer Science 2025-11-10 Vaggelis Dorovatas , Georgios Paraskevopoulos , Alexandros Potamianos

Modern neural networks are often augmented with an attention mechanism, which tells the network where to focus within the input. We propose in this paper a new framework for sparse and structured attention, building upon a smoothed max…

Machine Learning · Statistics 2019-02-26 Vlad Niculae , Mathieu Blondel

As a paradigmatic model for nonlinear dynamics studies, the Hopfield Neural Network (HNN) demonstrates a high susceptibility to external disturbances owing to its intricate structure. This paper delves into the challenge of modulating HNN…

Neural and Evolutionary Computing · Computer Science 2024-03-01 Xuenan Peng , Chengqing Li , Yicheng Zeng , Chun-Lai Li

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

Transformer attention scales quadratically with sequence length O(n^2), limiting long-context use. We propose Adaptive Retention, a probabilistic, layer-wise token selection mechanism that learns which representations to keep under a strict…

Computation and Language · Computer Science 2025-10-13 S M Rafiuddin , Muntaha Nujat Khan

Continual learning needs to overcome catastrophic forgetting of the past. Memory replay of representative old training samples has been shown as an effective solution, and achieves the state-of-the-art (SOTA) performance. However, existing…

Machine Learning · Computer Science 2022-03-10 Liyuan Wang , Xingxing Zhang , Kuo Yang , Longhui Yu , Chongxuan Li , Lanqing Hong , Shifeng Zhang , Zhenguo Li , Yi Zhong , Jun Zhu

Attention heads retrieve: given a query, they return a weighted average of stored values. We showed that this computation is one step of gradient descent on the modern Hopfield energy, and that Langevin sampling from the corresponding…

Machine Learning · Computer Science 2026-05-15 Abdulrahman Alswaidan , Jeffrey D. Varner

This paper explores Memory-Augmented Neural Networks (MANNs), delving into how they blend human-like memory processes into AI. It covers different memory types, like sensory, short-term, and long-term memory, linking psychological theories…

Artificial Intelligence · Computer Science 2023-12-14 Savya Khosla , Zhen Zhu , Yifei He

A recurrent neural network model storing multiple spatial maps, or ``charts'', is analyzed. A network of this type has been suggested as a model for the origin of place cells in the hippocampus of rodents. The extremely diluted and fully…

Disordered Systems and Neural Networks · Physics 2009-10-31 Francesco P. Battaglia , Alessandro Treves

The rise of generative AI workloads, particularly language model inference, is intensifying on/off-chip memory pressure. Multimodal inputs such as video streams or images and downstream applications like Question Answering (QA) and analysis…

Hardware Architecture · Computer Science 2026-04-14 Joyjit Kundu , Joshua Klein , Aakash Patel , Dwaipayan Biswas

We analyze the storage capacity of the Hopfield models on classes of random graphs. While such a setup has been analyzed for the case that the underlying random graph model is an Erd\"{o}s-Renyi graph, other architectures, including those…

Probability · Mathematics 2015-07-29 Matthias Löwe , Franck Vermet

Modeling long sequences of user behaviors has emerged as a critical frontier in generative recommendation. However, existing solutions face a dilemma: linear attention mechanisms achieve efficiency at the cost of retrieval precision due to…

Information Retrieval · Computer Science 2026-02-23 Lei Xin , Yuhao Zheng , Ke Cheng , Changjiang Jiang , Zifan Zhang , Fanhu Zeng

The Hopfield network model and its generalizations were introduced as a model of associative, or content-addressable, memory. They were widely investigated both as an unsupervised learning method in artificial intelligence and as a model of…

Neurons and Cognition · Quantitative Biology 2024-12-10 Marco Cafiso , Paolo Paradisi
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