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We propose the Deep Distance Measurement Method (DDMM) to improve retrieval accuracy in unsupervised multivariate time series similarity retrieval. DDMM enables learning of minute differences within states in the entire time series and…

Machine Learning · Computer Science 2026-03-16 Susumu Naito , Kouta Nakata , Yasunori Taguchi

It is surprising that last two decades many works in time series data mining and clustering were concerned with measures of similarity of time series but not with measures of association that can be used for measuring possible direct and…

Machine Learning · Computer Science 2014-05-21 Ildar Batyrshin

Graph matching is the process of computing the similarity between two graphs. Depending on the requirement, it can be exact or inexact. Exact graph matching requires a strict correspondence between nodes of two graphs, whereas inexact…

Social and Information Networks · Computer Science 2022-01-13 Shri Prakash Dwivedi

As is well known, classical systems approximate quantum ones -- but how well? We introduce a definition of a "distance" on classical and quantum phase spaces that offers a measure of their separation. Such a distance scale provides a means…

Quantum Physics · Physics 2007-05-23 John R. Klauder

Time series is a collection of data instances that are ordered according to a time stamp. Stock prices, temperature, etc are examples of time series data in real life. Time series data are used for forecasting sales, predicting trends.…

Human-Computer Interaction · Computer Science 2024-04-25 Sathya Krishnan Suresh , Shunmugapriya P

Several recent studies have been devoted to investigating the limitations that ordinary quantum mechanics and/or quantum gravity might impose on the measurability of space-time observables. These analyses are often confined to the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Giovanni Amelino-Camelia , John Stachel

High-dimensional time series are characterized by a large number of measurements and complex dependence, and often involve abrupt change points. We propose a new procedure to detect change points in the mean of high-dimensional time series…

Methodology · Statistics 2019-03-19 Jun Li , Minya Xu , Ping-Shou Zhong , Lingjun Li

Distances are pervasive in machine learning. They serve as similarity measures, loss functions, and learning targets; it is said that a good distance measure solves a task. When defining distances, the triangle inequality has proven to be a…

Machine Learning · Computer Science 2020-07-08 Silviu Pitis , Harris Chan , Kiarash Jamali , Jimmy Ba

The geometric congruence problem is a fundamental building block in many computer vision and image recognition tasks. This problem considers the decision task of whether two point sets are congruent under translation and rotation. A related…

Data Structures and Algorithms · Computer Science 2026-02-16 Yen-Cheng Chang , Tsun Ming Cheung , Meng-Tsung Tsai , Ting-An Wu

In this paper, we propose to learn a Mahalanobis distance to perform alignment of multivariate time series. The learning examples for this task are time series for which the true alignment is known. We cast the alignment problem as a…

Machine Learning · Computer Science 2014-09-11 Damien Garreau , Rémi Lajugie , Sylvain Arlot , Francis Bach

Time series analysis has gained significant attention due to its critical applications in diverse fields such as healthcare, finance, and sensor networks. The complexity and non-stationarity of time series make it challenging to capture the…

Machine Learning · Computer Science 2024-10-31 Guancen Lin , Cong Shen , Aijing Lin

Time series analysis is a field of data science which is interested in analyzing sequences of numerical values ordered in time. Time series are particularly interesting because they allow us to visualize and understand the evolution of a…

Machine Learning · Computer Science 2020-10-02 Hassan Ismail Fawaz

Distant supervision for relation extraction heavily suffers from the wrong labeling problem. To alleviate this issue in news data with the timestamp, we take a new factor time into consideration and propose a novel time-aware distant…

Computation and Language · Computer Science 2019-03-11 Tianwen Jiang , Sendong Zhao , Jing Liu , Jin-Ge Yao , Ming Liu , Bing Qin , Ting Liu , Chin-Yew Lin

A new class of distances appropriate for measuring similarity relations between sequences, say one type of similarity per distance, is studied. We propose a new ``normalized information distance'', based on the noncomputable notion of…

Computational Complexity · Computer Science 2011-11-09 Ming Li , Xin Chen , Xin Li , Bin Ma , Paul Vitanyi

The paper proposes a computationally feasible method for measuring context-sensitive semantic distance between words. The distance is computed by adaptive scaling of a semantic space. In the semantic space, each word in the vocabulary V is…

cmp-lg · Computer Science 2008-02-03 Hideki Kozima , Akira Ito

Recognizing subtle historical patterns is central to modeling and forecasting problems in time series analysis. Here we introduce and develop a new approach to quantify deviations in the underlying hidden generators of observed data…

Machine Learning · Statistics 2019-10-09 Yi Huang , Ishanu Chattopadhyay

Research on time-series similarity measures has emphasized the need for elastic methods which align the indices of pairs of time series and a plethora of non-parametric have been proposed for the task. On the other hand, deep learning…

Machine Learning · Computer Science 2018-12-21 Josif Grabocka , Lars Schmidt-Thieme

Classification of time series is a growing problem in different disciplines due to the progressive digitalization of the world. Currently, the state-of-the-art in time series classification is dominated by The Hierarchical Vote Collective…

Machine Learning · Computer Science 2021-10-18 Francisco J. Baldán , José M. Benítez

High-dimensional multivariate time series are challenging due to the dependent and high-dimensional nature of the data, but in many applications there is additional structure that can be exploited to reduce computing time along with…

Methodology · Statistics 2020-03-13 Michael Schweinberger , Sergii Babkin , Katherine Ensor

An $\epsilon$-approximate incidence between a point and some geometric object (line, circle, plane, sphere) occurs when the point and the object lie at distance at most $\epsilon$ from each other. Given a set of points and a set of objects,…

Computational Geometry · Computer Science 2020-05-19 Dror Aiger , Haim Kaplan , Micha Sharir