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This paper addresses the problem of time series forecasting for non-stationary signals and multiple future steps prediction. To handle this challenging task, we introduce DILATE (DIstortion Loss including shApe and TimE), a new objective…

Machine Learning · Statistics 2019-11-12 Vincent Le Guen , Nicolas Thome

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

In this paper we present a novel algorithm and efficient data structure for anomaly detection based on temporal data. Time-series data are represented by a sequence of symbolic time intervals, describing increasing and decreasing trends, in…

Data Structures and Algorithms · Computer Science 2019-11-05 Roni Mateless , Michael Segal , Robert Moskovitch

By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA) to qualitatively type dynamical data by approximating the…

Algebraic Topology · Mathematics 2026-04-14 Tobias Timofeyev , Christopher Potvin , Benjamin Jones , Kristin M. Kurianski , Miguel Lopez , Sunia Tanweer

Detecting anomalous time series is key for scientific, medical and industrial tasks, but is challenging due to its inherent unsupervised nature. In recent years, progress has been made on this task by learning increasingly more complex…

Machine Learning · Computer Science 2022-02-09 Yedid Hoshen

Deterministic tourist walk (DTW) has attracted increasing interest in computer vision. In the last years, different methods for analysis of dynamic and static textures were proposed. So far, all works based on the DTW for texture analysis…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Lucas Correia Ribas , Odemir Martinez Bruno

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

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

The growing popularity of online sports and exercise necessitates effective methods for evaluating the quality of online exercise executions. Previous action quality assessment methods, which relied on labeled scores from motion videos,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Renguang Chen , Guolong Zheng , Xu Yang , Zhide Chen , Jiwu Shu , Wencheng Yang , Kexin Zhu , Chen Feng

Elastic distances like dynamic time warping (DTW) are central to time series machine learning because they compare sequences under local temporal misalignment. Soft-DTW is an adaptation of DTW that can be used as a gradient-based loss by…

Machine Learning · Computer Science 2026-05-04 Christopher Holder , Anthony Bagnall

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

We propose PhaseForensics, a DeepFake (DF) video detection method that leverages a phase-based motion representation of facial temporal dynamics. Existing methods relying on temporal inconsistencies for DF detection present many advantages…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Ekta Prashnani , Michael Goebel , B. S. Manjunath

Dynamical systems describe how a physical system evolves over time. Physical processes can evolve faster or slower in different environmental conditions. We use time-warping as rescaling the time in a model of a physical system. This thesis…

Machine Learning · Computer Science 2026-05-12 Jonathon Hirschi

In time-series analysis, nonlinear temporal misalignment remains a pivotal challenge that forestalls even simple averaging. Since its introduction, the Diffeomorphic Temporal Alignment Net (DTAN), which we first introduced (Weber et al.,…

Machine Learning · Computer Science 2025-02-11 Ron Shapira Weber , Oren Freifeld

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

Chaotic Dynamics · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

This paper introduces a novel spatiotemporal feature representation model designed to address the limitations of traditional methods in multidimensional time series (MTS) analysis. The proposed approach converts MTS into one-dimensional…

Machine Learning · Computer Science 2024-10-10 Xu Yan , Yaoting Jiang , Wenyi Liu , Didi Yi , Jianjun Wei

The Square Wave Method (SWM), previously introduced for the analysis of signals and images, is presented here as a mathematical tool suitable for the analysis of time series and signals. To show the potential that the SWM has to analyze…

Numerical Analysis · Computer Science 2016-08-29 Osvaldo Skliar , Ricardo E. Monge , Sherry Gapper

The number of end devices that use the last mile wireless connectivity is dramatically increasing with the rise of smart infrastructures and require reliable functioning to support smooth and efficient business processes. To efficiently…

Machine Learning · Computer Science 2022-02-21 Blaž Bertalanič , Marko Meža , Carolina Fortuna

Recovering images distorted by atmospheric turbulence is a challenging inverse problem due to the stochastic nature of turbulence. Although numerous turbulence mitigation (TM) algorithms have been proposed, their efficiency and…

Image and Video Processing · Electrical Eng. & Systems 2024-04-09 Xingguang Zhang , Nicholas Chimitt , Yiheng Chi , Zhiyuan Mao , Stanley H. Chan

Recent advancements in time-series anomaly detection have relied on deep learning models to handle the diverse behaviors of time-series data. However, these models often suffer from unstable training and require extensive hyperparameter…

Machine Learning · Computer Science 2024-08-28 Nobuo Namura , Yuma Ichikawa