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Time series averaging in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems. This article proposes and analyzes subgradient methods for the problem of finding a sample mean in DTW spaces.…

Computer Vision and Pattern Recognition · Computer Science 2017-01-24 David Schultz , Brijnesh Jain

Generating high-quality time series data has emerged as a critical research topic due to its broad utility in supporting downstream time series mining tasks. A major challenge lies in modeling the intrinsic stochasticity of temporal…

Artificial Intelligence · Computer Science 2025-11-20 He Panjing , Cheng Mingyue , Li Li , Zhang XiaoHan

In this work, we consider the problem of pattern matching under the dynamic time warping (DTW) distance motivated by potential applications in the analysis of biological data produced by the third generation sequencing. To measure the DTW…

Data Structures and Algorithms · Computer Science 2022-09-01 Garance Gourdel , Anne Driemel , Pierre Peterlongo , Tatiana Starikovskaya

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

This paper reveals that we can interpret the fundamental function of Randomized Time Warping (RTW) as a type of self-attention mechanism, a core technology of Transformers in motion recognition. The self-attention is a mechanism that…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Yutaro Hiraoka , Kazuya Okamura , Kota Suto , Kazuhiro Fukui

This paper deals with the modeling of non-stationary signals, from the point of view of signal synthesis. A class of random, non-stationary signals, generated by synthesis from a random timescale representation, is introduced and studied.…

Soft Condensed Matter · Physics 2022-11-09 Adrien Meynard , Bruno Torrésani

Many tasks in music information retrieval (MIR) involve weakly aligned data, where exact temporal correspondences are unknown. The connectionist temporal classification (CTC) loss is a standard technique to learn feature representations…

Sound · Computer Science 2023-04-12 Michael Krause , Christof Weiß , Meinard Müller

Human demonstrations of trajectories are an important source of training data for many machine learning problems. However, the difficulty of collecting human demonstration data for complex tasks makes learning efficient representations of…

Machine Learning · Computer Science 2024-06-10 Travers Rhodes , Daniel D. Lee

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 (TS) data have consistently been in short supply, yet their demand remains high for training systems in prediction, modeling, classification, and various other applications. Synthesis can serve to expand the sample population,…

Signal Processing · Electrical Eng. & Systems 2024-04-23 Tracey K. M. Lee , H. W. Chan , K. H. Leo , Effie Chew , L. Zhao , Saeid Sanei

Given a pair of multivariate time-series data of the same length and dimensions, an approach is proposed to select variables and time intervals where the two series are significantly different. In applications where one time series is an…

Methodology · Statistics 2024-12-11 Kensuke Mitsuzawa , Margherita Grossi , Stefano Bortoli , Motonobu Kanagawa

Going beyond correlations, the understanding and identification of causal relationships in observational time series, an important subfield of Causal Discovery, poses a major challenge. The lack of access to a well-defined ground truth for…

Machine Learning · Statistics 2021-04-19 Andrew R. Lawrence , Marcus Kaiser , Rui Sampaio , Maksim Sipos

We introduce a weakly supervised method for representation learning based on aligning temporal sequences (e.g., videos) of the same process (e.g., human action). The main idea is to use the global temporal ordering of latent correspondences…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Isma Hadji , Konstantinos G. Derpanis , Allan D. Jepson

Time-series forecasting is fundamental across many domains, yet training accurate models often requires large-scale datasets and substantial computational resources. Dataset distillation offers a promising alternative by synthesizing…

Machine Learning · Computer Science 2025-11-24 Yuqi Li , Kuiye Ding , Chuanguang Yang , Hao Wang , Haoxuan Wang , Huiran Duan , Junming Liu , Yingli Tian

In a way similar to the string-to-string correction problem we address time series similarity in the light of a time-series-to-time-series-correction problem for which the similarity between two time series is measured as the minimum cost…

Information Retrieval · Computer Science 2008-12-28 Pierre-François Marteau

Learning generic joint representations for video and text by a supervised method requires a prohibitively substantial amount of manually annotated video datasets. As a practical alternative, a large-scale but uncurated and narrated video…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Dohwan Ko , Joonmyung Choi , Juyeon Ko , Shinyeong Noh , Kyoung-Woon On , Eun-Sol Kim , Hyunwoo J. Kim

A common forecasting setting in real world applications considers a set of possibly heterogeneous time series of the same domain. Due to different properties of each time series such as length, obtaining forecasts for each individual time…

Methodology · Statistics 2024-01-31 Lukas Neubauer , Peter Filzmoser

Time-series data augmentation mitigates the issue of insufficient training data for deep learning models. Yet, existing augmentation methods are mainly designed for classification, where class labels can be preserved even if augmentation…

Machine Learning · Computer Science 2023-03-28 Xiyuan Zhang , Ranak Roy Chowdhury , Jingbo Shang , Rajesh Gupta , Dezhi Hong

Non-linear (large) time warping is a challenging source of nuisance in time-series analysis. In this paper, we propose a novel diffeomorphic temporal transformer network for both pairwise and joint time-series alignment. Our ResNet-TW (Deep…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Hao Huang , Boulbaba Ben Amor , Xichan Lin , Fan Zhu , Yi Fang

Recent advances in deep learning have driven rapid progress in time series forecasting, yet many state-of-the-art models continue to struggle with robust performance in real-world applications, even when they achieve strong results on…

Machine Learning · Computer Science 2025-10-24 Qitai Tan , Yiyun Chen , Mo Li , Ruiwen Gu , Yilin Su , Xiao-Ping Zhang