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Real-world time series data that commonly reflect sequential human behavior are often uniquely irregularly sampled and sparse, with highly nonuniform sampling over time and entities. Yet, commonly-used pretraining and augmentation methods…

Machine Learning · Computer Science 2023-08-29 Nicasia Beebe-Wang , Sayna Ebrahimi , Jinsung Yoon , Sercan O. Arik , Tomas Pfister

Matrix factorization is a powerful data analysis tool. It has been used in multivariate time series analysis, leading to the decomposition of the series in a small set of latent factors. However, little is known on the statistical…

Statistics Theory · Mathematics 2020-09-22 Pierre Alquier , Nicolas Marie

A new method is introduced to create artificial time sequences that fulfil given constraints but are random otherwise. Constraints are usually derived from a measured signal for which surrogate data are to be generated. They are fulfilled…

chao-dyn · Physics 2009-10-31 Thomas Schreiber

Generative modeling of time series is a central challenge in time series analysis, particularly under data-scarce conditions. Despite recent advances in generative modeling, a comprehensive understanding of how state-of-the-art generative…

Machine Learning · Computer Science 2025-05-28 Tal Gonen , Itai Pemper , Ilan Naiman , Nimrod Berman , Omri Azencot

We propose an algorithm to impute and forecast a time series by transforming the observed time series into a matrix, utilizing matrix estimation to recover missing values and de-noise observed entries, and performing linear regression to…

Machine Learning · Computer Science 2019-04-29 Anish Agarwal , Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

Time series observations can be seen as realizations of an underlying dynamical system governed by rules that we typically do not know. For time series learning tasks, we need to understand that we fit our model on available data, which is…

Machine Learning · Computer Science 2023-01-31 Amine Mohamed Aboussalah , Min-Jae Kwon , Raj G Patel , Cheng Chi , Chi-Guhn Lee

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

Time series forecasting is ubiquitous in the modern world. Applications range from health care to astronomy, and include climate modelling, financial trading and monitoring of critical engineering equipment. To offer value over this range…

Machine Learning · Statistics 2018-10-26 Bernardo Pérez Orozco , Gabriele Abbati , Stephen Roberts

It has been demonstrated that the amount of data is crucial in data-driven machine learning methods. Data is always valuable, but in some tasks, it is almost like gold. This occurs in engineering areas where data is scarce or very expensive…

Artificial Intelligence · Computer Science 2023-12-12 David Solis-Martin , Juan Galan-Paez , Joaquin Borrego-Diaz

Recent advances in time series generation have shown promise, yet controlling properties in generated sequences remains challenging. Time Series Editing (TSE) - making precise modifications while preserving temporal coherence - consider…

Machine Learning · Computer Science 2025-06-06 Hao Yu , Chu Xin Cheng , Runlong Yu , Yuyang Ye , Shiwei Tong , Zhaofeng Liu , Defu Lian

Testing automotive mechatronic systems partly uses the software-in-the-loop approach, where systematically covering inputs of the system-under-test remains a major challenge. In current practice, there are two major techniques of input…

Machine Learning · Computer Science 2020-02-19 Dhasarathy Parthasarathy , Karl Bäckström , Jens Henriksson , Sólrún Einarsdóttir

The class of autoregressive (AR) processes is extensively used to model temporal dependence in observed time series. Such models are easily available and routinely fitted using freely available statistical software like R. A potential…

Methodology · Statistics 2020-10-13 Sigrunn H. Sørbye , Pedro G. Nicolau , Håvard Rue

Time series data is prevalent across numerous fields, necessitating the development of robust and accurate forecasting models. Capturing patterns both within and between temporal and multivariate components is crucial for reliable…

Machine Learning · Computer Science 2025-11-21 Maurice Kraus , Felix Divo , Devendra Singh Dhami , Kristian Kersting

The advent of universal time series forecasting models has revolutionized zero-shot forecasting across diverse domains, yet the critical role of data diversity in training these models remains underexplored. Existing large-scale time series…

Machine Learning · Computer Science 2025-05-28 Zezhi Shao , Yujie Li , Fei Wang , Chengqing Yu , Yisong Fu , Tangwen Qian , Bin Xu , Boyu Diao , Yongjun Xu , Xueqi Cheng

Multivariate adaptive regression splines (MARS) is a flexible statistical modeling method that has been popular for data mining applications. MARS has also been employed to approxmiate unknown relationships in optimzation for complex…

Optimization and Control · Mathematics 2020-06-30 Xinglong Ju , Jay M. Rosenberger , Victoria C. P. Chen , Feng Liu

This article introduces the GNAR package, which fits, predicts, and simulates from a powerful new class of generalised network autoregressive processes. Such processes consist of a multivariate time series along with a real, or inferred,…

Methodology · Statistics 2019-12-11 Marina Knight , Kathryn Leeming , Guy Nason , Matthew Nunes

Inspired from modern out-of-equilibrium statistical physics models, a matrix product based framework permits the formal definition of random vectors (and random time series) whose desired joint distributions are a priori prescribed. Its key…

Statistical Mechanics · Physics 2012-03-21 Florian Angeletti , Eric Bertin , Patrice Abry

In recent years, there have been unprecedented technological advances in sensor technology, and sensors have become more affordable than ever. Thus, sensor-driven data collection is increasingly becoming an attractive and practical option…

Machine Learning · Computer Science 2021-12-30 Alireza Abdoli

Time series data are inherently functions of time, yet current transformers often learn time series by modeling them as mere concatenations of time periods, overlooking their functional properties. In this work, we propose a novel objective…

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