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Multivariate time series (MTS) forecasting is crucial for decision-making in domains such as weather, energy, and finance. It remains challenging because real-world sequences intertwine slow trends, multi-rate seasonalities, and irregular…

Machine Learning · Computer Science 2026-02-06 Shunya Nagashima , Shuntaro Suzuki , Shuitsu Koyama , Shinnosuke Hirano

State space models have shown to be effective at modeling long range dependencies, specially on sequence classification tasks. In this work we focus on autoregressive sequence modeling over English books, Github source code and ArXiv…

Machine Learning · Computer Science 2022-07-05 Harsh Mehta , Ankit Gupta , Ashok Cutkosky , Behnam Neyshabur

Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable ESN, trained on a series of measurements of an invertible dynamical system, induces…

Chaotic Dynamics · Physics 2020-05-19 Allen G Hart , James L Hook , Jonathan H P Dawes

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

Sequential recommendation is a key area in the field of recommendation systems aiming to model user interest based on historical interaction sequences with irregular intervals. While previous recurrent neural network-based and…

Information Retrieval · Computer Science 2025-12-08 Wei Xiao , Huiying Wang , Qifeng Zhou , Qing Wang

Deploying generative machine learning techniques to generate novel chemical structures based on molecular fingerprint representation has been well established in molecular design. Typically, sequential learning (SL) schemes such as hidden…

Biomolecules · Quantitative Biology 2022-04-07 Mohammad Sajjad Ghaemi , Karl Grantham , Isaac Tamblyn , Yifeng Li , Hsu Kiang Ooi

Self-attention models have achieved state-of-the-art performance in sequential recommender systems by capturing the sequential dependencies among user-item interactions. However, they rely on positional embeddings to retain the sequential…

Information Retrieval · Computer Science 2022-04-26 Muyang Li , Xiangyu Zhao , Chuan Lyu , Minghao Zhao , Runze Wu , Ruocheng Guo

Echo State Networks (ESNs) are typically presented as efficient, readout-trained recurrent models, yet their dynamics and design are often guided by heuristics rather than first principles. We recast ESNs explicitly as state-space models…

Machine Learning · Computer Science 2025-09-05 Pradeep Singh , Balasubramanian Raman

In-situ Electron Energy Loss Spectroscopy (EELS) is an instrumental technique that has traditionally been used to understand how the choice of materials processing has the ability to change local structure and composition. However, more…

The ability to continuously learn remains elusive for deep learning models. Unlike humans, models cannot accumulate knowledge in their weights when learning new tasks, mainly due to an excess of plasticity and the low incentive to reuse…

Machine Learning · Computer Science 2022-04-21 Vladimir Araujo , Julio Hurtado , Alvaro Soto , Marie-Francine Moens

Systems Theoretic Process Analysis (STPA) is a systematic approach for hazard analysis that has been used across many industrial sectors including transportation, energy, and defense. The unstoppable trend of using Machine Learning (ML) in…

Software Engineering · Computer Science 2023-07-18 Yi Qi , Yi Dong , Siddartha Khastgir , Paul Jennings , Xingyu Zhao , Xiaowei Huang

State-space models (SSMs) have emerged as a powerful foundation for long-range sequence modeling, with the HiPPO framework showing that continuous-time projection operators can be used to derive stable, memory-efficient dynamical systems…

Machine Learning · Computer Science 2026-02-27 Ruben Solozabal , Velibor Bojkovic , Hilal Alquabeh , Klea Ziu , Kentaro Inui , Martin Takac

Deep neural networks based on state space models (SSMs) are attracting significant attention in sequence modeling since their computational cost is much smaller than that of Transformers. While the capabilities of SSMs have been…

Machine Learning · Statistics 2025-03-06 Naoki Nishikawa , Taiji Suzuki

Structured state-space models (SSMs) have recently emerged as a powerful architecture at the intersection of machine learning and control, featuring layers composed of discrete-time linear time-invariant (LTI) systems followed by pointwise…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Leonardo Massai , Muhammad Zakwan , Giancarlo Ferrari-Trecate

Image restoration requires simultaneously preserving fine-grained local structures and maintaining long-range spatial coherence. While convolutional networks struggle with limited receptive fields, and Transformers incur quadratic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Mohammed Hassanin , Nour Moustafa , Weijian Deng , Ibrahim Radwan

The Mamba layer offers an efficient selective state space model (SSM) that is highly effective in modeling multiple domains, including NLP, long-range sequence processing, and computer vision. Selective SSMs are viewed as dual models, in…

Machine Learning · Computer Science 2024-04-02 Ameen Ali , Itamar Zimerman , Lior Wolf

Feature selection has been widely used to alleviate compute requirements during training, elucidate model interpretability, and improve model generalizability. We propose SLM -- Sparse Learnable Masks -- a canonical approach for end-to-end…

Machine Learning · Computer Science 2023-04-07 Yihe Dong , Sercan O. Arik

Constructing approximations that can accurately mimic the behavior of complex models at reduced computational costs is an important aspect of uncertainty quantification. Despite their flexibility and efficiency, classical surrogate models…

Computation · Statistics 2020-06-29 S. Marelli , P. -R. Wagner , C. Lataniotis , B. Sudret

In recent years supervised representation learning has provided state of the art or close to the state of the art results in semantic analysis tasks including ranking and information retrieval. The core idea is to learn how to embed items…

Computation and Language · Computer Science 2017-08-11 Dasha Bogdanova , Majid Yazdani

State Space Models (SSMs) have become serious contenders in the field of sequential modeling, challenging the dominance of Transformers. At the same time, Mixture of Experts (MoE) has significantly improved Transformer-based Large Language…

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