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Continuous Dynamic Time Warping (CDTW) measures the similarity of polygonal curves robustly to outliers and to sampling rates, but the design and analysis of CDTW algorithms face multiple challenges. We show that CDTW cannot be computed…

Computational Geometry · Computer Science 2026-04-10 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

Computing a sample mean of time series under dynamic time warping (DTW) is NP-hard. Consequently, there is an ongoing research effort to devise efficient heuristics. The majority of heuristics have been developed for the constrained sample…

Data Structures and Algorithms · Computer Science 2020-02-26 Brijnesh Jain , Vincent Froese , David Schultz

Many applications generate and consume temporal data and retrieval of time series is a key processing step in many application domains. Dynamic time warping (DTW) distance between time series of size N and M is computed relying on a dynamic…

Databases · Computer Science 2012-08-02 K. Selçuk Candan , Rosaria Rossini , Maria Luisa Sapino , Xiaolan Wang

Goal: To achieve-high quality comprehensive feature extraction from physiological signals that enables precise physiological parameter estimation despite evolving waveform morphologies. Methods: We propose Boosted-SpringDTW, a probabilistic…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Jonathan Martinez , Kaan Sel , Bobak J. Mortazavi , Roozbeh Jafari

Clinical time-series data are difficult to model with methods designed for regular sequences because they exhibit irregular sampling, frequent missing values, and heterogeneous observation patterns across variables. Existing approaches…

Machine Learning · Computer Science 2026-05-19 Jinwoong Kim , Sangjin Park

Generating realistic time series data is critical for applications in healthcare, finance, and science. However, irregular sampling and missing values present significant challenges. While prior methods address these irregularities, they…

Machine Learning · Computer Science 2025-10-09 Gal Fadlon , Idan Arbiv , Nimrod Berman , Omri Azencot

We present algorithms for the computation of $\varepsilon$-coresets for $k$-median clustering of point sequences in $\mathbb{R}^d$ under the $p$-dynamic time warping (DTW) distance. Coresets under DTW have not been investigated before, and…

Computational Geometry · Computer Science 2024-03-08 Jacobus Conradi , Benedikt Kolbe , Ioannis Psarros , Dennis Rohde

The classification of time series data is a well-studied problem with numerous practical applications, such as medical diagnosis and speech recognition. A popular and effective approach is to classify new time series in the same way as…

Machine Learning · Computer Science 2019-01-29 Ricards Marcinkevics , Steven Kelk , Carlo Galuzzi , Berthold Stegemann

Dynamic time warping (DTW) is a robust similarity measure of time series. However, it does not satisfy triangular inequality and has high computational complexity, severely limiting its applications in similarity search on large-scale…

Information Retrieval · Computer Science 2020-02-12 Zhengxin Li

Recent studies suggest utilizing generative models instead of traditional auto-regressive algorithms for time series forecasting (TSF) tasks. These non-auto-regressive approaches involving different generative methods, including GAN,…

Machine Learning · Computer Science 2025-03-19 Jiangxuan Long , Zhao Song , Chiwun Yang

A time series consists of a series of values or events obtained over repeated measurements in time. Analysis of time series represents and important tool in many application areas, such as stock market analysis, process and quality control,…

Artificial Intelligence · Computer Science 2013-12-30 Vladimir Kurbalija , Miloš Radovanović , Zoltan Geler , Mirjana Ivanović

Consumer Demand Response (DR) is an important research and industry problem, which seeks to categorize, predict and modify consumer's energy consumption. Unfortunately, traditional clustering methods have resulted in many hundreds of…

Machine Learning · Statistics 2017-08-23 Thanchanok Teeraratkul , Daniel O'Neill , Sanjay Lall

This paper addresses the problem of detecting time series outliers, focusing on systems with repetitive behavior, such as industrial robots operating on production lines.Notable challenges arise from the fact that a task performed multiple…

Artificial Intelligence · Computer Science 2026-02-13 Charlotte Lacoquelle , Xavier Pucel , Louise Travé-Massuyès , Axel Reymonet , Benoît Enaux

Projective clustering is a problem with both theoretical and practical importance and has received a great deal of attentions in recent years. Given a set of points $P$ in $\mathbb{R}^{d}$ space, projective clustering is to find a set…

Computational Geometry · Computer Science 2015-03-20 Hu Ding , Jinhui Xu

Temporal alignment of sequences is a fundamental challenge in many applications, such as computer vision and bioinformatics, where local time shifting needs to be accounted for. Misalignment can lead to poor model generalization, especially…

Machine Learning · Computer Science 2025-01-10 Afek Steinberg , Ran Eisenberg , Ofir Lindenbaum

Constructing flexible probability models that respect constraints on key functionals -- such as the mean -- is a fundamental problem in nonparametric statistics. Existing approaches lack systematic tools for enforcing such constraints while…

Methodology · Statistics 2025-12-03 Alejandro Jara , Carlos Sing-Long

Many real-world applications require aligning two temporal sequences, including bioinformatics, handwriting recognition, activity recognition, and human-robot coordination. Dynamic Time Warping (DTW) is a popular alignment method, but can…

Machine Learning · Computer Science 2021-09-21 Sridhar Mahadevan , Anup Rao , Georgios Theocharous , Jennifer Healey

Visualizing multiple time series presents fundamental tradeoffs between scalability and visual clarity. Time series capture the behavior of many large-scale real-world processes, from stock market trends to urban activities. Users often…

Time series data supports many domains (e.g., finance and climate science), but its rapid growth strains storage and computation. Dataset condensation can alleviate this by synthesizing a compact training set that preserves key information.…

Machine Learning · Computer Science 2026-02-10 Sijia Peng , Yun Xiong , Xi Chen , Yi Xie , Guanzhi Li , Yanwei Yu , Yangyong Zhu , Zhiqiang Shen

Accurate forecasts are vital for supporting the decisions of modern companies. Forecasters typically select the most appropriate statistical model for each time series. However, statistical models usually presume some data generation…