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This work is devoted to a comprehensive analysis of topological data analysis fortime series classification. Previous works have significant shortcomings, such aslack of large-scale benchmarking or missing state-of-the-art methods. In this…

Machine Learning · Computer Science 2020-10-13 Polina Pilyugina , Rodrigo Rivera-Castro , Eugeny Burnaev

Matrix Product State (MPS) is a versatile tensor network representation widely applied in quantum physics, quantum chemistry, and machine learning, etc. MPS sampling serves as a critical fundamental operation in these fields. As the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-24 Yaojian Chen , Si-Qiu Gong , Lin Gan , Yanfei Liu , An Yang , Yinuo Wang , Chao-yang Lu , Guangwen Yang

Multivariate time series (MTS) data, when sampled irregularly and asynchronously, often present extensive missing values. Conventional methodologies for MTS analysis tend to rely on temporal embeddings based on timestamps that necessitate…

Machine Learning · Computer Science 2024-05-28 Chun-Kai Huang , Yi-Hsien Hsieh , Ta-Jung Chien , Li-Cheng Chien , Shao-Hua Sun , Tung-Hung Su , Jia-Horng Kao , Che Lin

Synchronization problems of continuous and discrete singularly perturbed systems are studied in this paper with singular perturbations and time scales (SPaTS) technique. The dynamics of leader and followers are decomposed into pure-slow and…

Systems and Control · Computer Science 2018-06-25 Neng Wan , Desineni S. Naidu

While many ideas and proofs of concept for parallel-in-time integration methods exists, the number of large-scale, accessible time-parallel codes is rather small. This is often due to the apparent or subtle complexity of the algorithms and…

Performance · Computer Science 2020-08-31 Robert Speck , Michael Knobloch , Sebastian Lührs , Andreas Gocht

An experimental protocol is developed to directly measure the new material functions revealed by medium amplitude parallel superposition (MAPS) rheology. This experimental protocol measures the medium amplitude response of a material to a…

Soft Condensed Matter · Physics 2022-02-10 Kyle R. Lennon , Michela Geri , Gareth H. McKinley , James W. Swan

Time series are ubiquitous, and a measure to assess their similarity is a core part of many computational systems. In particular, the similarity measure is the most essential ingredient of time series clustering and classification systems.…

Machine Learning · Computer Science 2016-05-18 Joan Serrà , Josep Lluis Arcos

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

Statistical Finance · Quantitative Finance 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

Time series imputation is critical for many real-world applications and has been widely studied. However, existing models often require specialized designs tailored to specific missing patterns, variables, or domains which limits their…

Machine Learning · Computer Science 2024-10-03 Jinguo Cheng , Chunwei Yang , Wanlin Cai , Yuxuan Liang , Qingsong Wen , Yuankai Wu

Despite the enormous success of Hamiltonian Monte Carlo and related Markov Chain Monte Carlo (MCMC) methods, sampling often still represents the computational bottleneck in scientific applications. Availability of parallel resources can…

Computation · Statistics 2026-01-26 Jakob Robnik , Uroš Seljak

Industrial Multivariate Time Series (MTS) is a critical view of the industrial field for people to understand the state of machines. However, due to data collection difficulty and privacy concerns, available data for building industrial…

Machine Learning · Computer Science 2024-10-23 Lei Ren , Haiteng Wang , Yuanjun Laili

We introduce KarmaTS, an interactive framework for constructing lag-indexed, executable spatiotemporal causal graphical models for multivariate time series (MTS) simulation. Motivated by the challenge of access-restricted physiological…

Artificial Intelligence · Computer Science 2025-12-19 Haixin Li , Yanke Li , Diego Paez-Granados

Multivariate time series alignment is critical for ensuring coherent analysis across variables, but missing values and timestamp inconsistencies make this task highly challenging. Existing approaches often rely on prior imputation, which…

Databases · Computer Science 2025-12-23 Ding Jia , Jingyu Zhu , Yu Sun , Aoqian Zhang , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

While existing multivariate time series forecasting models have advanced significantly in modeling periodicity, they largely neglect the periodic heterogeneity common in real-world data, where variables exhibit distinct and dynamically…

Machine Learning · Computer Science 2026-03-03 Jiaming Ma , Qihe Huang , Haofeng Ma , Guanjun Wang , Sheng Huang , Zhengyang Zhou , Pengkun Wang , Binwu Wang , Yang Wang

Multivariate time series (MTS) data are becoming increasingly ubiquitous in diverse domains, e.g., IoT systems, health informatics, and 5G networks. To obtain an effective representation of MTS data, it is not only essential to consider…

Machine Learning · Computer Science 2020-10-06 Yang Jiao , Kai Yang , Shaoyu Dou , Pan Luo , Sijia Liu , Dongjin Song

Evaluating anomaly detection algorithms in time series data is critical as inaccuracies can lead to flawed decision-making in various domains where real-time analytics and data-driven strategies are essential. Traditional performance…

Machine Learning · Computer Science 2024-05-21 Ramin Ghorbani , Marcel J. T. Reinders , David M. J. Tax

With the transition to a smart grid, we are witnessing a significant growth in sensor deployments and smart metering infrastructure in the distribution system. However, information from these sensors and meters are typically unevenly…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Shweta Dahale , Balasubramaniam Natarajan

The imputation of the Multivariate time series (MTS) is particularly challenging since the MTS typically contains irregular patterns of missing values due to various factors such as instrument failures, interference from irrelevant data,…

Machine Learning · Computer Science 2025-04-04 Ye Su , Hezhe Qiao , Di Wu , Yuwen Chen , Lin Chen

Following a series of high-profile drug safety disasters in recent years, many countries are redoubling their efforts to ensure the safety of licensed medical products. Large-scale observational databases such as claims databases or…

Computation · Statistics 2012-08-07 Marc A. Suchard , Shawn E. Simpson , Ivan Zorych , Patrick Ryan , David Madigan

Electronic records contain sequences of events, some of which take place all at once in a single visit, and others that are dispersed over multiple visits, each with a different timestamp. We postulate that fine temporal detail, e.g.,…

Machine Learning · Computer Science 2019-04-30 Mohammad Taha Bahadori , Zachary Chase Lipton