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The study of topology is strictly speaking, a topic in pure mathematics. However in only a few years, Topological Data Analysis (TDA), which refers to methods of utilizing topological features in data (such as connected components, tunnels,…

Applications · Statistics 2019-09-25 Nalini Ravishanker , Renjie Chen

Data is a precious resource in today's society, and is generated at an unprecedented and constantly growing pace. The need to store, analyze, and make data promptly available to a multitude of users introduces formidable challenges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-08 Alessandro Margara , Gianpaolo Cugola , Nicolò Felicioni , Stefano Cilloni

Functional spatio-temporal data naturally arise in many environmental and climate applications where data are collected in a three-dimensional space over time. The MATLAB D-STEM v1 software package was first introduced for modelling…

Methodology · Statistics 2021-01-28 Yaqiong Wang , Francesco Finazzi , Alessandro Fassò

Compositional data are commonly known as multivariate observations carrying relative information. Even though the case of vector or even two-factorial compositional data (compositional tables) is already well described in the literature,…

Methodology · Statistics 2022-01-26 Kamila Fačevicová , Peter Filzmoser , Karel Hron

Time series data, spanning applications ranging from climatology to finance to healthcare, presents significant challenges in data mining due to its size and complexity. One open issue lies in time series clustering, which is crucial for…

Machine Learning · Computer Science 2023-07-07 Jorge Marco-Blanco , Rubén Cuevas

In the era of burgeoning data generation, managing and storing large-scale time-varying datasets poses significant challenges. With the rise of supercomputing capabilities, the volume of data produced has soared, intensifying storage and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Humayra Tasnim , Soumya Dutta , Melanie Moses

Data-driven analysis is important in virtually every modern organization. Yet, most data is underutilized because it remains locked in silos inside of organizations; large organizations have thousands of databases, and billions of files…

Databases · Computer Science 2019-03-13 Raul Castro Fernandez , Samuel Madden

With the rapid development of machine learning applications on time-series data, accurately assessing the value of training samples has become essential for data selection, noise detection, and model optimization. However, traditional data…

Machine Learning · Computer Science 2026-05-12 Chuwen Pang , Bing Mi , Kongyang Chen

Temporal information extraction (TIE) has attracted a great deal of interest over the last two decades, leading to the development of a significant number of datasets. Despite its benefits, having access to a large volume of corpora makes…

Computation and Language · Computer Science 2023-11-27 Hugo Sousa , Alípio Jorge , Ricardo Campos

Time series are ubiquitous in our data rich world. In what follows I will describe how ideas from dynamical systems and topological data analysis can be combined to gain insights from time-varying data. We will see several applications to…

Algebraic Topology · Mathematics 2018-12-14 Jose A. Perea

Data mining is about obtaining new knowledge from existing datasets. However, the data in the existing datasets can be scattered, noisy, and even incomplete. Although lots of effort is spent on developing or fine-tuning data mining models…

Machine Learning · Computer Science 2019-06-21 Canchen Li

Machine learning models benefit when allowed to learn from temporal trends in time-stamped administrative data. These trends can be represented by dividing a model's observation window into time segments or bins. Model training time and…

Machine Learning · Computer Science 2024-10-24 Musa Taib , Geoffrey G. Messier

Unstructured data, such as text, images, audio, and video, comprises the vast majority of the world's information, yet it remains poorly supported by traditional data systems that rely on structured formats for computation. We argue for a…

Databases · Computer Science 2025-09-19 Mushtari Sadia , Amrita Roy Chowdhury , Ang Chen

Due to the surge of spatio-temporal data volume, the popularity of location-based services and applications, and the importance of extracted knowledge from spatio-temporal data to solve a wide range of real-world problems, a plethora of…

Machine Learning · Computer Science 2021-03-19 Md Mahbub Alam , Luis Torgo , Albert Bifet

Extracting structured knowledge from unstructured data still faces practical limitations: entity and event extraction pipelines remain brittle, knowledge graph construction requires costly ontology engineering, and cross-domain…

Databases · Computer Science 2026-04-13 Wenxiao Zhang , Yu Liu , Qiang sun , Yihao Ding , Sirui Li , Yanbing Liu , Jin B. Hong , Wei Liu

In many data sets, crucial elements co-exist with non-essential ones and noise. For data represented as networks in particular, several methods have been proposed to extract a "network backbone", i.e., the set of most important links.…

Physics and Society · Physics 2021-05-07 Charley Presigny , Petter Holme , Alain Barrat

Information theory is a powerful framework for quantifying complexity, uncertainty, and dynamical structure in time-series data, with widespread applicability across disciplines such as physics, finance, and neuroscience. However, the…

Information Theory · Computer Science 2026-01-26 Annie G. Bryant , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

Multivariate spatio-temporal models are widely applicable, but specifying their structure is complicated and may inhibit wider use. We introduce the R package tinyVAST from two viewpoints: the software user and the statistician. From the…

Methodology · Statistics 2024-01-19 James T. Thorson , Sean C. Anderson , Pamela Goddard , Christopher N. Rooper

Most existing natural language interfaces to databases (NLIDBs) were designed to be used with ``snapshot'' database systems, that provide very limited facilities for manipulating time-dependent data. Consequently, most NLIDBs also provide…

cmp-lg · Computer Science 2016-08-31 Ion Androutsopoulos

Multi-modal time series analysis has recently emerged as a prominent research area in data mining, driven by the increasing availability of diverse data modalities, such as text, images, and structured tabular data from real-world sources.…

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