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Gated recurrent neural networks have achieved remarkable results in the analysis of sequential data. Inside these networks, gates are used to control the flow of information, allowing to model even very long-term dependencies in the data.…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Simone Totaro , Aurelio Uncini

Reducing the key-value (KV) cache size is a crucial step toward enabling efficient inference in large language models (LLMs), especially under latency and memory constraints. While Multi-Head Attention (MHA) offers strong representational…

Computation and Language · Computer Science 2025-09-23 Zhengge Cai , Haowen Hou

Kalman filtering and smoothing are the foundational mechanisms for efficient inference in Gauss-Markov models. However, their time and memory complexities scale prohibitively with the size of the state space. This is particularly…

Machine Learning · Computer Science 2025-03-13 Marvin Pförtner , Jonathan Wenger , Jon Cockayne , Philipp Hennig

State Space Models (SSMs) are powerful tools for modeling sequential data in computer vision and time series analysis domains. However, traditional SSMs are limited by fixed, one-dimensional sequential processing, which restricts their…

Machine Learning · Computer Science 2025-04-08 Nikola Zubić , Davide Scaramuzza

Recent work has shown that attention-based language models excel at recall, the ability to ground generations in tokens previously seen in context. However, the efficiency of attention-based models is bottle-necked during inference by the…

Computation and Language · Computer Science 2025-03-10 Simran Arora , Sabri Eyuboglu , Michael Zhang , Aman Timalsina , Silas Alberti , Dylan Zinsley , James Zou , Atri Rudra , Christopher Ré

Simultaneous localization and mapping (SLAM) is a method that constructs a map of an unknown environment and localizes the position of a moving agent on the map simultaneously. Extended Kalman filter (EKF) has been widely adopted as a low…

Signal Processing · Electrical Eng. & Systems 2022-10-19 Geon Choi , Jeonghun Park , Nir Shlezinger , Yonina C. Eldar , Namyoon Lee

Recurrent neural networks can be difficult to train on long sequence data due to the well-known vanishing gradient problem. Some architectures incorporate methods to reduce RNN state updates, therefore allowing the network to preserve…

Machine Learning · Computer Science 2019-01-23 Matthew Thornton , Jithendar Anumula , Shih-Chii Liu

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

Methodology · Statistics 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

While linear attention reduces the quadratic complexity of standard Transformers to linear time, it often lags behind in expressivity due to the removal of softmax normalization. This omission eliminates \emph{global competition}, a…

Machine Learning · Computer Science 2026-02-03 Mingwei Xu , Xuan Lin , Xinnan Guo , Wanqing Xu , Wanyun Cui

Self-attention in Transformers is typically implemented as $\mathrm{softmax}(QK^\top/\sqrt{d})V$, where $Q=XW_Q$, $K=XW_K$, and $V=XW_V$ are learned linear projections of the input $X$. We ask whether these learned projections are…

Machine Learning · Computer Science 2026-05-05 Debarshi Kundu , Archisman Ghosh , Swaroop Ghosh , Vasant Honavar

Gated DeltaNet (GDN) is a linear attention mechanism that replaces the growing KV cache with a fixed-size recurrent state. Hybrid LLMs like Qwen3-Next use 75% GDN layers and achieve competitive accuracy to attention-only models. However, at…

Hardware Architecture · Computer Science 2026-03-09 Neelesh Gupta , Peter Wang , Rajgopal Kannan , Viktor K. Prasanna

In various domains, Sequential Recommender Systems (SRS) have become essential due to their superior capability to discern intricate user preferences. Typically, SRS utilize transformer-based architectures to forecast the subsequent item…

Artificial Intelligence · Computer Science 2024-12-25 Ziwei Liu , Qidong Liu , Yejing Wang , Wanyu Wang , Pengyue Jia , Maolin Wang , Zitao Liu , Yi Chang , Xiangyu Zhao

High-performance semantic segmentation has achieved significant progress in recent years, often driven by increasingly large backbones and higher computational budgets. While effective, such approaches introduce substantial computational…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Sheng-Wei Chan , Hsin-Jui Pan , Chun-Po Shen , Chia-Min Lin , Yung-Che Wang , Jen-Shiun Chiang

Answer selection (answer ranking) is one of the key steps in many kinds of question answering (QA) applications, where deep models have achieved state-of-the-art performance. Among these deep models, recurrent neural network (RNN) based…

Computation and Language · Computer Science 2019-05-28 Dong Xu , Jianhui Ji , Haikuan Huang , Hongbo Deng , Wu-Jun Li

Recurrent neural networks (RNNs) have fast inference and scale efficiently on long sequences, but they are difficult to train and hard to scale. We propose Hawk, an RNN with gated linear recurrences, and Griffin, a hybrid model that mixes…

We present a numerically-stable parallel-in-time linear Kalman smoother. The smoother uses a novel highly-parallel QR factorization for a class of structured sparse matrices for state estimation, and an adaptation of the SelInv…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-07 Shahaf Gargir , Sivan Toledo

Deep neural networks are often not robust to semantically-irrelevant changes in the input. In this work we address the issue of robustness of state-of-the-art deep convolutional neural networks (CNNs) against commonly occurring distortions…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Nikhil Kapoor , Chun Yuan , Jonas Löhdefink , Roland Zimmermann , Serin Varghese , Fabian Hüger , Nico Schmidt , Peter Schlicht , Tim Fingscheidt

Optimal decision-making under partial observability requires reasoning about the uncertainty of the environment's hidden state. However, most reinforcement learning architectures handle partial observability with sequence models that have…

Machine Learning · Computer Science 2025-02-20 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

Federated learning allows edge devices to collaboratively learn a shared model while keeping the training data on device, decoupling the ability to do model training from the need to store the data in the cloud. We propose Federated matched…

Machine Learning · Computer Science 2020-02-18 Hongyi Wang , Mikhail Yurochkin , Yuekai Sun , Dimitris Papailiopoulos , Yasaman Khazaeni