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To mitigate the computational complexity in the self-attention mechanism on long sequences, linear attention utilizes computation tricks to achieve linear complexity, while state space models (SSMs) popularize a favorable practice of using…

Machine Learning · Computer Science 2024-06-17 Zicheng Liu , Siyuan Li , Li Wang , Zedong Wang , Yunfan Liu , Stan Z. Li

State-space models (SSMs) are powerful probabilistic tools for modeling time-varying systems with latent dynamics. Inference in SSMs involves the estimation of latent states and parameters. In this work, we focus on parameter inference,…

Computation · Statistics 2026-05-22 Kostas Tsampourakis , Víctor Elvira

Foundation models, now powering most of the exciting applications in deep learning, are almost universally based on the Transformer architecture and its core attention module. Many subquadratic-time architectures such as linear attention,…

Machine Learning · Computer Science 2024-06-03 Albert Gu , Tri Dao

Transformer models have achieved superior performance in various natural language processing tasks. However, the quadratic computational cost of the attention mechanism limits its practicality for long sequences. There are existing…

Computation and Language · Computer Science 2022-12-19 Simiao Zuo , Xiaodong Liu , Jian Jiao , Denis Charles , Eren Manavoglu , Tuo Zhao , Jianfeng Gao

We introduce SIRI, Scaling Iterative Reinforcement Learning with Interleaved Compression, a simple yet effective RL approach for Large Reasoning Models (LRMs) that enables more efficient and accurate reasoning. Existing studies have…

Machine Learning · Computer Science 2025-09-30 Haoming Wen , Yushi Bai , Juanzi Li , Jie Tang

Spiking neural networks (SNNs) are posited as a computationally efficient and biologically plausible alternative to conventional neural architectures, with their core computational framework primarily using the leaky integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2025-03-18 Malyaban Bal , Abhronil Sengupta

State space models (SSMs) have recently shown promising results on small-scale sequence and language modelling tasks, rivalling and outperforming many attention-based approaches. In this paper, we propose a multi-head state space (MH-SSM)…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-29 Yassir Fathullah , Chunyang Wu , Yuan Shangguan , Junteng Jia , Wenhan Xiong , Jay Mahadeokar , Chunxi Liu , Yangyang Shi , Ozlem Kalinli , Mike Seltzer , Mark J. F. Gales

This paper generalizes the physical property of relaxation from linear time-invariant (LTI) to linear time-and-space-invariant (LTSI) systems. It is shown that the defining features of relaxation -- complete monotonicity, passivity, and…

Optimization and Control · Mathematics 2025-08-22 Tihol Ivanov Donchev , Brayan M. Shali , Rodolphe Sepulchre

A new method of the stochastic simulation algorithm (SSA), named the Hashing-Leaping method (HLM), for exact simulations of a class of Markov jump processes, is presented in this paper. The HLM has a conditional constant computational cost…

Numerical Analysis · Mathematics 2015-10-26 Yao Li , Lili Hu

This paper considers the problem of linear time-invariant (LTI) system identification using input/output data. Recent work has provided non-asymptotic results on partially observed LTI system identification using a single trajectory but is…

Optimization and Control · Mathematics 2021-11-23 Yang Zheng , Na Li

Speculative sampling is a promising approach to accelerate the decoding stage for Large Language Models (LLMs). Recent advancements that leverage target LLM's contextual information, such as hidden states and KV cache, have shown…

Machine Learning · Computer Science 2025-02-27 Lefan Zhang , Xiaodan Wang , Yanhua Huang , Ruiwen Xu

State-space models (SSMs) offer a promising architecture for sequence modeling, providing an alternative to Transformers by replacing expensive self-attention with linear recurrences. In this paper, we propose a simple yet effective trick…

Machine Learning · Computer Science 2025-05-28 Woomin Song , Jihoon Tack , Sangwoo Mo , Seunghyuk Oh , Jinwoo Shin

This work presents a Long Short-Term Memory (LSTM) network for forecasting a monthly electricity demand time series with a one-year horizon. The novelty of this work is the use of pattern representation of the seasonal time series as an…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Paweł Pełka , Grzegorz Dudek

Long-range time series forecasting remains challenging, as it requires capturing non-stationary and multi-scale temporal dependencies while maintaining noise robustness, efficiency, and stability. Transformer-based architectures such as…

Machine Learning · Computer Science 2025-09-03 Stefan-Alexandru Jura , Mihai Udrescu , Alexandru Topirceanu

Modern high-energy physics (HEP) experiments are increasingly challenged by the vast size and complexity of their datasets, particularly regarding large-scale point cloud processing and long sequences. In this study, to address these…

Machine Learning · Computer Science 2025-01-28 Cheng Jiang , Sitian Qian

Efficient long-context modeling remains a critical challenge for natural language processing (NLP), as the time complexity of the predominant Transformer architecture scales quadratically with the sequence length. While state-space models…

Machine Learning · Computer Science 2025-09-30 Zhihao Zhan , Jianan Zhao , Zhaocheng Zhu , Jian Tang

Foundation models are typically trained at a fixed computational capacity, while real-world applications require deployment across platforms with different resource constraints. Current approaches usually rely on training families of model…

Machine Learning · Computer Science 2026-02-10 Dachuan Song , Xuan Wang

Deep reinforcement learning (deep RL) excels in various domains but lacks generalizability and interpretability. On the other hand, programmatic RL methods (Trivedi et al., 2021; Liu et al., 2023) reformulate RL tasks as synthesizing…

Machine Learning · Computer Science 2024-02-12 Yu-An Lin , Chen-Tao Lee , Guan-Ting Liu , Pu-Jen Cheng , Shao-Hua Sun

Long Short-Term Memory (LSTM) has achieved state-of-the-art performances on a wide range of tasks. Its outstanding performance is guaranteed by the long-term memory ability which matches the sequential data perfectly and the gating…

Neural and Evolutionary Computing · Computer Science 2019-01-29 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy

Running Large Language Models (LLMs) on edge devices is constrained by high compute and memory demands posing a barrier for real-time applications in sectors like healthcare, education, and embedded systems. Current solutions such as…

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