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Sequential recommendation aims to estimate the dynamic user preferences and sequential dependencies among historical user behaviors. Although Transformer-based models have proven to be effective for sequential recommendation, they suffer…

Information Retrieval · Computer Science 2024-07-02 Chengkai Liu , Jianghao Lin , Jianling Wang , Hanzhou Liu , James Caverlee

Methods based on ordinary differential equations (ODEs) are widely used to build generative models of time-series. In addition to high computational overhead due to explicitly computing hidden states recurrence, existing ODE-based models…

Machine Learning · Statistics 2023-02-07 Linqi Zhou , Michael Poli , Winnie Xu , Stefano Massaroli , Stefano Ermon

As machine learning (ML) is increasingly implemented in hardware to address real-time challenges in scientific applications, the development of advanced toolchains has significantly reduced the time required to iterate on various designs.…

Structured State Space Models (SSMs) have emerged as alternatives to transformers. While SSMs are often regarded as effective in capturing long-sequence dependencies, we rigorously demonstrate that they are inherently limited by strong…

Machine Learning · Computer Science 2025-03-12 Peihao Wang , Ruisi Cai , Yuehao Wang , Jiajun Zhu , Pragya Srivastava , Zhangyang Wang , Pan Li

State space models (SSMs) leverage linear, time-invariant (LTI) systems to effectively learn sequences with long-range dependencies. By analyzing the transfer functions of LTI systems, we find that SSMs exhibit an implicit bias toward…

Machine Learning · Computer Science 2024-10-04 Annan Yu , Dongwei Lyu , Soon Hoe Lim , Michael W. Mahoney , N. Benjamin Erichson

The reconstruction and estimation of spatio-temporal patterns poses significant challenges when sensor measurements are limited. The use of mobile sensors adds additional complexity due to the change in sensor locations over time. In such…

Dynamical Systems · Mathematics 2024-07-16 Jiazhong Mei , J. Nathan Kutz

Probabilistic State Space Models (SSMs) are essential for Reinforcement Learning (RL) from high-dimensional, partial information as they provide concise representations for control. Yet, they lack the computational efficiency of their…

Machine Learning · Computer Science 2024-06-24 Philipp Becker , Niklas Freymuth , Gerhard Neumann

Predicting user preferences and sequential dependencies based on historical behavior is the core goal of sequential recommendation. Although attention-based models have shown effectiveness in this field, they often struggle with inference…

Machine Learning · Computer Science 2024-06-11 Yuda Wang , Xuxin He , Shengxin Zhu

Spiking neural networks (SNNs) provide an energy-efficient solution by utilizing the spike-based and sparse nature of biological systems. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on long…

Neural and Evolutionary Computing · Computer Science 2024-10-24 Yan Zhong , Ruoyu Zhao , Chao Wang , Qinghai Guo , Jianguo Zhang , Zhichao Lu , Luziwei Leng

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

Machine Learning · Computer Science 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

Foundation models refer to deep learning models pretrained on large unlabeled datasets through self-supervised algorithms. In the Earth science and remote sensing communities, there is growing interest in transforming the use of Earth…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Chuc Man Duc , Hiromichi Fukui

State space models (SSMs) have shown impressive results on tasks that require modeling long-range dependencies and efficiently scale to long sequences owing to their subquadratic runtime complexity. Originally designed for continuous…

Computation and Language · Computer Science 2023-10-31 Mahan Fathi , Jonathan Pilault , Orhan Firat , Christopher Pal , Pierre-Luc Bacon , Ross Goroshin

Accurate and robust localization is a critical enabler for emerging 5G and 6G applications, including autonomous driving, extended reality (XR), and smart manufacturing. While data-driven approaches have shown promise, most existing models…

Signal Processing · Electrical Eng. & Systems 2025-05-16 Guangjin Pan , Kaixuan Huang , Hui Chen , Shunqing Zhang , Christian Häger , Henk Wymeersch

We present LrcSSM, a $\textit{non-linear}$ recurrent model that processes long sequences as fast as today's linear state-space layers. By forcing its Jacobian matrix to be diagonal, the full sequence can be solved in parallel, giving…

Machine Learning · Computer Science 2025-12-16 Mónika Farsang , Ramin Hasani , Daniela Rus , Radu Grosu

Speech enhancement seeks to extract clean speech from noisy signals. Traditional deep learning methods face two challenges: efficiently using information in long speech sequences and high computational costs. To address these, we introduce…

Sound · Computer Science 2024-04-23 Yu Du , Xu Liu , Yansong Chua

State-space models (SSMs), exemplified by S4, have introduced a novel context modeling method by integrating state-space techniques into deep learning. However, they struggle with global context modeling due to their data-independent…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Hamid Suleman , Syed Talal Wasim , Muzammal Naseer , Juergen Gall

In the Global Navigation Satellite System (GNSS) context, the growing number of available satellites has lead to many challenges when it comes to choosing the most accurate pseudorange contributions, given the strong impact of biased…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Ibrahim Sbeity , Christophe Villien , Benoît Denis , E. Veronica Belmega

Selective state-space models (SSMs) are an emerging alternative to the Transformer, offering the unique advantage of parallel training and sequential inference. Although these models have shown promising performance on a variety of tasks,…

Machine Learning · Computer Science 2025-07-08 Aleksandar Terzić , Michael Hersche , Giacomo Camposampiero , Thomas Hofmann , Abu Sebastian , Abbas Rahimi

Recent selective state space models (SSMs), such as Mamba and Mamba-2, have demonstrated strong performance in sequence modeling owing to input-dependent selection mechanisms. However, these mechanisms lack theoretical grounding and cannot…

Machine Learning · Computer Science 2025-12-19 Lei Wang , Xin Tan , Mingwei Wang , Ying Zhang

Modeling long-range dependencies across sequences is a longstanding goal in machine learning and has led to architectures, such as state space models, that dramatically outperform Transformers on long sequences. However, these impressive…

Machine Learning · Computer Science 2024-04-30 Ido Amos , Jonathan Berant , Ankit Gupta
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