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We give the first subquadratic-time approximation schemes for dynamic time warping (DTW) and edit distance (ED) of several natural families of point sequences in $\mathbb{R}^d$, for any fixed $d \ge 1$. In particular, our algorithms compute…

Computational Geometry · Computer Science 2016-01-11 Pankaj K. Agarwal , Kyle Fox , Jiangwei Pan , Rex Ying

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

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

Measuring distance or similarity between time-series data is a fundamental aspect of many applications including classification, clustering, and ensembling/alignment. Existing measures may fail to capture similarities among local trends…

Machine Learning · Computer Science 2024-12-20 Ajitesh Srivastava

Geoscience domain experts traditionally correlate formation tops in the subsurface using geophysical well logs (known as well-log correlation) by-hand. Based on individual well log interpretation and well-to-well comparisons, these…

Information Retrieval · Computer Science 2022-02-21 Jesse R. Pisel , Joshua A. Dierker , Sanya Srivastava , Samira B. Ravilisetty , Michael J. Pyrcz

Seismic phase association is a fundamental task in seismology that pertains to linking together phase detections on different sensors that originate from a common earthquake. It is widely employed to detect earthquakes on permanent and…

Machine Learning · Computer Science 2019-03-27 Zachary E. Ross , Yisong Yue , Men-Andrin Meier , Egill Hauksson , Thomas H. Heaton

Computing the discrepancy between time series of variable sizes is notoriously challenging. While dynamic time warping (DTW) is popularly used for this purpose, it is not differentiable everywhere and is known to lead to bad local optima…

Machine Learning · Computer Science 2021-03-01 Mathieu Blondel , Arthur Mensch , Jean-Philippe Vert

Dynamic Linear Models (DLMs) are commonly employed for time series analysis due to their versatile structure, simple recursive updating, ability to handle missing data, and probabilistic forecasting. However, the options for count time…

Methodology · Statistics 2023-06-30 Brian King , Daniel R. Kowal

In exploration seismology, seismic inversion refers to the process of inferring physical properties of the subsurface from seismic data. Knowledge of physical properties can prove helpful in identifying key structures in the subsurface for…

Signal Processing · Electrical Eng. & Systems 2019-06-07 Ahmad Mustafa , Motaz Alfarraj , Ghassan AlRegib

Correlated time series are time series that, by virtue of the underlying process to which they refer, are expected to influence each other strongly. We introduce a novel approach to handle such time series, one that models their interaction…

Artificial Intelligence · Computer Science 2007-05-23 Luis O. Rigo , Valmir C. Barbosa

The paper presents a novel method of finding a fragment in a long temporal sequence similar to the set of shorter sequences. We are the first to propose an algorithm for such a search that does not rely on computing the average sequence…

Data Structures and Algorithms · Computer Science 2024-09-04 Łukasz Borchmann , Dawid Jurkiewicz , Filip Graliński , Tomasz Górecki

Water distribution systems (WDS) sustained severe damage in the past earthquakes. While previous studies investigated the seismic performance of buried water pipelines, the effects of corrosion on the pipeline seismic performance were…

Geophysics · Physics 2023-02-08 Weinan Li , Ram K. Mazumder , Yue Li

There has been renewed recent interest in developing effective lower bounds for Dynamic Time Warping (DTW) distance between time series. These have many applications in time series indexing, clustering, forecasting, regression and…

Machine Learning · Computer Science 2019-02-15 Chang Wei Tan , Francois Petitjean , Geoffrey I. Webb

Waveform cross correlation is an efficient tool for detection and characterization of seismic signals. The efficiency critically depends on the availability of master events. For the purposes of the Comprehensive Nuclear-Test-Ban Treaty,…

Geophysics · Physics 2013-05-15 Dmitry Bobrov , Ivan Kitov , Mikhail Rozhkov

We propose in this paper a new family of kernels to handle times series, notably speech data, within the framework of kernel methods which includes popular algorithms such as the Support Vector Machine. These kernels elaborate on the well…

Computer Vision and Pattern Recognition · Computer Science 2009-11-27 Marco Cuturi , Jean-Philippe Vert , Oystein Birkenes , Tomoko Matsui

In artificial neural networks, weights are a static representation of synapses. However, synapses are not static, they have their own interacting dynamics over time. To instill weights with interacting dynamics, we use a model describing…

Neural and Evolutionary Computing · Computer Science 2023-01-11 Adam Kohan , Ed Rietman , Hava Siegelmann

Seismic phase picking, which aims to determine the arrival time of P- and S-waves according to seismic waveforms, is fundamental to earthquake monitoring. Generally, manual phase picking is trustworthy, but with the increasing number of…

Geophysics · Physics 2024-10-22 Yuchen Wang , Ruihuan Wang

With the increase of available time series data, predicting their class labels has been one of the most important challenges in a wide range of disciplines. Recent studies on time series classification show that convolutional neural…

Machine Learning · Computer Science 2021-04-07 Dongha Lee , Seonghyeon Lee , Hwanjo Yu

This paper addresses learning end-to-end models for time series data that include a temporal alignment step via dynamic time warping (DTW). Existing approaches to differentiable DTW either differentiate through a fixed warping path or apply…

Machine Learning · Computer Science 2023-03-21 Ming Xu , Sourav Garg , Michael Milford , Stephen Gould

In this paper, we develop a novel high-dimensional time-varying coefficient estimation method, based on high-dimensional It\^o diffusion processes. To account for high-dimensional time-varying coefficients, we first estimate local (or…

Methodology · Statistics 2026-01-06 Donggyu Kim , Minseog Oh , Minseok Shin