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Functional data analysis deals with data recorded densely over time (or any other continuum) with one or more observed curves per subject. Conceptually, functional data are continuously defined, but in practice, they are usually observed at…

Methodology · Statistics 2023-01-20 Chengqian Xian , Camila de Souza , John Jewell , Ronaldo Dias

Samples of curves, or functional data, usually present phase variability in addition to amplitude variability. Existing functional regression methods do not handle phase variability in an efficient way. In this paper we propose a functional…

Methodology · Statistics 2013-10-09 Daniel Gervini

Functional data analysis is typically performed in two steps: first, functionally representing discrete observations, and then applying functional methods to the so-represented data. The initial choice of a functional representation may…

Applications · Statistics 2024-05-15 Rani Basna , Hiba Nassar , Krzysztof Podgórski

Major advancements in fields as diverse as biology and quantum computing have relied on a multitude of microscopic techniques. All optical, electron and scanning probe microscopy advanced with new detector technologies and integration of…

Instrumentation and Detectors · Physics 2023-03-01 Rama Vasudevan , Mani Valleti , Maxim Ziatdinov , Gerd Duscher , Suhas Somnath

The design of a metric between probability distributions is a longstanding problem motivated by numerous applications in Machine Learning. Focusing on continuous probability distributions on the Euclidean space $\mathbb{R}^d$, we introduce…

Minimalist Data Wrangling with Python is envisaged as a student's first introduction to data science, providing a high-level overview as well as discussing key concepts in detail. We explore methods for cleaning data gathered from different…

Machine Learning · Computer Science 2022-11-10 Marek Gagolewski

This paper presents a systematic review of Python packages with a focus on time series analysis. The objective is to provide (1) an overview of the different time series analysis tasks and preprocessing methods implemented, and (2) an…

Mathematical Software · Computer Science 2021-06-23 Julien Siebert , Janek Groß , Christof Schroth

Functional data analysis is ubiquitous in most areas of sciences and engineering. Several paradigms are proposed to deal with the dimensionality problem which is inherent to this type of data. Sparseness, penalization, thresholding, among…

Methodology · Statistics 2018-09-05 Rodney V. Fonseca , Aluísio Pinheiro

Temporal point processes (TPPs) model the timing of discrete events along a timeline and are widely used in fields such as neuroscience and fi- nance. Statistical depth functions are powerful tools for analyzing centrality and ranking in…

Methodology · Statistics 2025-11-25 Chifeng Shen , Yuejiao Fu , Xiaoping Shi , Michael Chen

Spatiotemporal data mining (STDM) discovers useful patterns from the dynamic interplay between space and time. Several available surveys capture STDM advances and report a wealth of important progress in this field. However, STDM challenges…

Machine Learning · Computer Science 2021-04-01 Ali Hamdi , Khaled Shaban , Abdelkarim Erradi , Amr Mohamed , Shakila Khan Rumi , Flora Salim

A given set of data-points in some feature space may be associated with a Schrodinger equation whose potential is determined by the data. This is known to lead to good clustering solutions. Here we extend this approach into a full-fledged…

Data Analysis, Statistics and Probability · Physics 2010-02-16 Marvin Weinstein , David Horn

Computer simulation has become one of the most important tools in scientific research in many disciplines. Benefiting from the dynamical trajectories regulated by versatile interatomic interactions, various material properties can be…

Materials Science · Physics 2024-11-28 Y. -C. Hu , J. Tian

The present work introduces floodlight, an open source Python package built to support and automate team sport data analysis. It is specifically designed for the scientific analysis of spatiotemporal tracking data, event data, and game…

Human-Computer Interaction · Computer Science 2022-06-07 Dominik Raabe , Henrik Biermann , Manuel Bassek , Martin Wohlan , Rumena Komitova , Robert Rein , Tobias Kuppens Groot , Daniel Memmert

This paper describes a novel Python package, named causalgraph, for modeling and saving causal graphs embedded in knowledge graphs. The package has been designed to provide an interface between causal disciplines such as causal discovery…

Artificial Intelligence · Computer Science 2023-01-23 Sven Pieper , Carl Willy Mehling , Dominik Hirsch , Tobias Lüke , Steffen Ihlenfeldt

Particulate matter data now include various particle sizes, which often manifest as a collection of curves observed sequentially over time. When considering 51 distinct particle sizes, these curves form a high-dimensional functional time…

Methodology · Statistics 2025-10-03 Han Lin Shang , Israel Martinez Hernandez

Nowadays many real-world datasets can be considered as functional, in the sense that the processes which generate them are continuous. A fundamental property of this type of data is that in theory they belong to an infinite-dimensional…

Machine Learning · Computer Science 2023-05-23 María Barroso , Carlos María Alaíz , Ángela Fernández , Jose Luis Torrecilla

The synthpop package for R https://www.synthpop.org.uk provides tools to allow data custodians to create synthetic versions of confidential microdata that can be distributed with fewer restrictions than the original. The synthesis can be…

Computation · Statistics 2021-11-16 Gillian M Raab , Beata Nowok , Chris Dibben

This is the User Manual of the LASPATED library. This library is available on GitHub (at https://github.com/vguigues/LASPATED)) and provides a set of tools to analyze spatiotemporal data. A video tutorial for this library is available on…

This demo paper introduces partitura, a Python package for handling symbolic musical information. The principal aim of this package is to handle richly structured musical information as conveyed by modern staff music notation. It provides a…

Sound · Computer Science 2022-02-01 Maarten Grachten , Carlos Cancino-Chacón , Thassilo Gadermaier

Accurate simulation of astronomical observations is a critical element for any modern analyses, be it to measure event rates, analyses population properties, validate or train pipelines, account for selection effects, or correct biases. We…

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