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Diagnosis of bearing faults is paramount to reducing maintenance costs and operational breakdowns. Bearing faults are primary contributors to machine vibrations, and analyzing their signal morphology offers insights into their health…

Machine Learning · Computer Science 2026-01-21 Mohammad Al-Sa'd , Tuomas Jalonen , Serkan Kiranyaz , Moncef Gabbouj

This paper tackles one of the most fundamental goals in functional time series analysis which is to provide reliable predictions for future functions. Existing methods for predicting a complete future functional observation use only…

Methodology · Statistics 2022-02-08 Shuhao Jiao , Alexander Aue , Hernando Ombao

In this paper we propose a scalable version of a state-of-the-art deterministic time-invariant feature extraction approach based on consecutive changes of basis and nonlinearities, namely, the scattering network. The first focus of the…

Machine Learning · Statistics 2017-07-20 Randall Balestriero , Herve Glotin

In the domain of variational quantum algorithms, quantum Fourier models (QFMs) provide a mathematically well defined structure for quantum machine learning (QML). There has been a substantial amount of work on the scalability and…

Quantum Physics · Physics 2026-05-07 Melvin Strobl , Maja Franz , Lukas Scheller , Eileen Kuehn , Wolfgang Mauerer , Achim Streit

State-of-the-art methods for explaining predictions from time series involve learning an instance-wise saliency mask for each time step; however, many types of time series are difficult to interpret in the time domain, due to the inherently…

Machine Learning · Computer Science 2025-04-04 Thea Brüsch , Kristoffer K. Wickstrøm , Mikkel N. Schmidt , Robert Jenssen , Tommy S. Alstrøm

Time series analysis is vital for numerous applications, and transformers have become increasingly prominent in this domain. Leading methods customize the transformer architecture from NLP and CV, utilizing a patching technique to convert…

Machine Learning · Computer Science 2024-02-09 Yanjun Zhao , Tian Zhou , Chao Chen , Liang Sun , Yi Qian , Rong Jin

Time-periodic quantum systems exhibit a rich variety of far-from-equilibrium phenomena and serve as ideal platforms for quantum engineering and control. However, simulating their dynamics with conventional numerical methods remains…

Quantum Physics · Physics 2025-09-10 Zihao Qi , Yang Peng , Christopher Earls

Multimodal time series forecasting is crucial in real-world applications, where decisions depend on both numerical data and contextual signals. The core challenge is to effectively combine temporal numerical patterns with the context…

Machine Learning · Computer Science 2026-02-04 Huu Hiep Nguyen , Minh Hoang Nguyen , Dung Nguyen , Hung Le

While most time series are non-stationary, it is inevitable for models to face the distribution shift issue in time series forecasting. Existing solutions manipulate statistical measures (usually mean and std.) to adjust time series…

Machine Learning · Computer Science 2024-07-02 Wei Fan , Kun Yi , Hangting Ye , Zhiyuan Ning , Qi Zhang , Ning An

Deep learning (DL) approaches are being increasingly used for time-series forecasting, with many efforts devoted to designing complex DL models. Recent studies have shown that the DL success is often attributed to effective data…

Human-Computer Interaction · Computer Science 2023-07-28 Jianing Hao , Qing Shi , Yilin Ye , Wei Zeng

Efficiently modeling spatio-temporal (ST) physical processes and observations presents a challenging problem for the deep learning community. Many recent studies have concentrated on meticulously reconciling various advantages, leading to…

Artificial Intelligence · Computer Science 2024-06-04 Hao Wu , Yuxuan Liang , Wei Xiong , Zhengyang Zhou , Wei Huang , Shilong Wang , Kun Wang

Long-term Time Series Forecasting (LTSF) is critical for numerous real-world applications, such as electricity consumption planning, financial forecasting, and disease propagation analysis. LTSF requires capturing long-range dependencies…

Machine Learning · Computer Science 2024-10-04 Aitian Ma , Dongsheng Luo , Mo Sha

Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

Numerical Analysis · Mathematics 2016-10-05 Anne Gelb , Guohui Song

The nonstationary nature of signals and nonlinear systems require the time-frequency representation. In time-domain signal, frequency information is derived from the phase of the Gabor's analytic signal which is practically obtained by the…

Information Theory · Computer Science 2016-04-19 Pushpendra Singh

Despite the remarkable successes of general-purpose neural networks, such as MLPs and Transformers, we find that they exhibit notable shortcomings in modeling and reasoning about periodic phenomena, achieving only marginal performance…

Machine Learning · Computer Science 2025-10-28 Yihong Dong , Ge Li , Yongding Tao , Xue Jiang , Kechi Zhang , Jia Li , Jinliang Deng , Jing Su , Jun Zhang , Jingjing Xu

Deep-learning-based approaches to depth estimation are rapidly advancing, offering superior performance over existing methods. To estimate the depth in real-world scenarios, depth estimation models require the robustness of various noise…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Zhengyang Lu , Ying Chen

Accumulation of molecular data obtained from quantum mechanics (QM) theories such as density functional theory (DFTQM) make it possible for machine learning (ML) to accelerate the discovery of new molecules, drugs, and materials. Models…

Chemical Physics · Physics 2020-11-04 Alain B. Tchagang , Ahmed H. Tewfik , Julio J. Valdés

Time series analysis finds wide applications in fields such as weather forecasting, anomaly detection, and behavior recognition. Previous methods attempted to model temporal variations directly using 1D time series. However, this has been…

Machine Learning · Computer Science 2024-11-08 Qiang Wu , Gechang Yao , Zhixi Feng , Shuyuan Yang

Time series forecasting is critical for decision-making across dynamic domains such as energy, finance, transportation, and cloud computing. However, real-world time series often exhibit non-stationarity, including temporal distribution…

Machine Learning · Computer Science 2025-12-01 Junkai Lu , Peng Chen , Chenjuan Guo , Yang Shu , Meng Wang , Bin Yang

Time series forecasting is widely used in extensive applications, such as traffic planning and weather forecasting. However, real-world time series usually present intricate temporal variations, making forecasting extremely challenging.…

Machine Learning · Computer Science 2024-05-24 Shiyu Wang , Haixu Wu , Xiaoming Shi , Tengge Hu , Huakun Luo , Lintao Ma , James Y. Zhang , Jun Zhou