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Energy systems modeling frequently relies on time series data, whether observed or forecast. This is particularly the case, for example, in capacity planning models that use hourly production and load data forecast to occur over the coming…

Computation · Statistics 2025-02-13 Kelly Wang , Steven O. Kimbrough

Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data across domains. Dimensionality-reduction algorithms involve complex optimizations and the reduced dimensions computed by these algorithms…

Human-Computer Interaction · Computer Science 2017-08-16 Marco Cavallo , Çağatay Demiralp

Multivariate time series are ubiquitous objects in signal processing. Measuring a distance or similarity between two such objects is of prime interest in a variety of applications, including machine learning, but can be very difficult as…

Machine Learning · Statistics 2022-11-02 Titouan Vayer , Romain Tavenard , Laetitia Chapel , Nicolas Courty , Rémi Flamary , Yann Soullard

The notion of experiment precision quantifies the variance of user ratings in a subjective experiment. Although there exist measures that assess subjective experiment precision, there are no systematic analyses of these measures available…

Multimedia · Computer Science 2022-08-05 Jakub Nawała , Tobias Hoßfeld , Lucjan Janowski , Michael Seufert

Time series data play an important role in many applications and their analysis reveals crucial information for understanding the underlying processes. Among the many time series learning tasks of great importance, we here focus on…

Machine Learning · Computer Science 2021-06-28 Dominik Alfke , Miriam Gondos , Lucile Peroche , Martin Stoll

Investigating the relationship, particularly the lead-lag effect, between time series is a common question across various disciplines, especially when uncovering biological process. However, analyzing time series presents several…

Experimental measurements of physical systems often have a limited number of independent channels, causing essential dynamical variables to remain unobserved. However, many popular methods for unsupervised inference of latent dynamics from…

Machine Learning · Computer Science 2020-10-23 William Gilpin

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

This paper introduces the induced matching distance, a novel topological metric designed to compare discrete structures represented by a symmetric non-negative function. We apply this notion to analyze agent trajectories over time. We use…

Algebraic Topology · Mathematics 2025-02-18 Javier Perera-Lago , Álvaro Torras-Casas , Jérôme Guzzi , Rocio Gonzalez-Diaz

In many application domains, time series are monitored to detect extreme events like technical faults, natural disasters, or disease outbreaks. Unfortunately, it is often non-trivial to select both a time series that is informative about…

Methodology · Statistics 2020-05-01 Erik Scharwächter , Emmanuel Müller

Time series data are valuable but are often inscrutable. Gaining trust in time series classifiers for finance, healthcare, and other critical applications may rely on creating interpretable models. Researchers have previously been forced to…

Machine Learning · Computer Science 2021-11-09 Yuhui Wang , Diane J. Cook

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

Deep learning performs remarkably well on many time series analysis tasks recently. The superior performance of deep neural networks relies heavily on a large number of training data to avoid overfitting. However, the labeled data of many…

Machine Learning · Computer Science 2022-04-04 Qingsong Wen , Liang Sun , Fan Yang , Xiaomin Song , Jingkun Gao , Xue Wang , Huan Xu

Building on the theoretical insights of Part I, this paper, as the second part of the tutorial, dives deeper into data-driven power flow linearization (DPFL), focusing on comprehensive numerical testing. The necessity of these simulations…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

Large amount of multidimensional data represented by multiway arrays or tensors are prevalent in modern applications across various fields such as chemometrics, genomics, physics, psychology, and signal processing. The structural complexity…

Statistics Theory · Mathematics 2024-05-29 Arnab Auddy , Dong Xia , Ming Yuan

Many new database application domains such as experimental sciences and medicine are characterized by large sequences as their main form of data. Using approximate representation can significantly reduce the required storage and search…

Databases · Computer Science 2019-04-22 Hagit Shatkay , Stanley B. Zdonik

This study explores information measures based on extropy, introducing dynamic relative extropy measures for residual and past lifetimes, and investigating their various properties. Furthermore, the study analyzes the relationships between…

Applications · Statistics 2025-03-11 Saranya P. , Sunoj S. M.

Time series, as one of the most fundamental representations of sequential data, has been extensively studied across diverse disciplines, including computer science, biology, geology, astronomy, and environmental sciences. The advent of…

Machine Learning · Computer Science 2024-12-31 John Paparrizos , Fan Yang , Haojun Li

Measuring the distance between data points is fundamental to many statistical techniques, such as dimension reduction or clustering algorithms. However, improvements in data collection technologies has led to a growing versatility of…

Methodology · Statistics 2022-06-20 George Bolt , Simón Lunagómez , Christopher Nemeth

Despite the accelerating presence of exploratory causal analysis in modern science and medicine, the available non-experimental methods for validating causal models are not well characterized. One of the most popular methods is to evaluate…

Methodology · Statistics 2025-03-20 Ritwick Banerjee , Bryan Andrews , Erich Kummerfeld