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Decision trees are simple, yet powerful, classification models used to classify categorical and numerical data, and, despite their simplicity, they are commonly used in operations research and management, as well as in knowledge mining.…

Logic in Computer Science · Computer Science 2020-03-13 Andrea Brunello , Guido Sciavicco , Ionel Eduard Stan

Although operator-valued kernels have recently received increasing interest in various machine learning and functional data analysis problems such as multi-task learning or functional regression, little attention has been paid to the…

Machine Learning · Computer Science 2013-01-15 Hachem Kadri , Asma Rabaoui , Philippe Preux , Emmanuel Duflos , Alain Rakotomamonjy

Classification rules can be severely affected by the presence of disturbing observations in the training sample. Looking for an optimal classifier with such data may lead to unnecessarily complex rules. So, simpler effective classification…

Statistics Theory · Mathematics 2017-01-19 Marina Antolín , Eustasio Del Barrio , Jean-Michel Loubes

We encounter a bottleneck when we try to borrow the strength of classical classifiers to classify functional data. The major issue is that functional data are intrinsically infinite dimensional, thus classical classifiers cannot be applied…

Methodology · Statistics 2021-03-09 Peijun Sang , Adam B Kashlak , Linglong Kong

It is often desired that ordinal regression models yield unimodal predictions. However, in many recent works this characteristic is either absent, or implemented using soft targets, which do not guarantee unimodal outputs at inference. In…

Machine Learning · Statistics 2021-11-19 Uri Shaham , Igal Zaidman , Jonathan Svirsky

Modern computing and communication technologies can make data collection procedures very efficient. However, our ability to analyze large data sets and/or to extract information out from them is hard-pressed to keep up with our capacities…

Machine Learning · Statistics 2019-01-30 Zhanfeng Wang , Yumi Kwon , Yuan-chin Ivan Chang

StepMania is a popular open-source clone of a rhythm-based video game. As is common in popular games, there is a large number of community-designed levels. It is often difficult for players and level authors to determine the difficulty…

Machine Learning · Computer Science 2023-01-24 Billy Joe Franks , Benjamin Dinkelmann , Sophie Fellenz , Marius Kloft

Many outcomes of interest in the social and health sciences, as well as in modern applications in computational social science and experimentation on social media platforms, are ordinal and do not have a meaningful scale. Causal analyses…

Methodology · Statistics 2015-01-07 Alexander Volfovsky , Edoardo M. Airoldi , Donald B. Rubin

A main challenge in target localization arises from the lack of reliable distance measures. This issue is especially pronounced in indoor settings due to the presence of walls, floors, furniture, and other dynamically changing conditions…

Signal Processing · Electrical Eng. & Systems 2021-05-07 Mahesh K. Banavar , Shandeepa Wickramasinghe , Monalisa Achalla , Jie Sun

Empirical analyses of ordinal outcomes using repeated cross-sectional data rely on marginal distributions, leaving the joint distribution unobserved and the sources of distributional change unidentified. This paper develops a framework to…

Econometrics · Economics 2026-04-28 Rami V. Tabri

Machine learning methods must be trusted to make appropriate decisions in real-world environments, even when faced with out-of-distribution (OOD) samples. Many current approaches simply aim to detect OOD examples and alert the user when an…

Machine Learning · Computer Science 2022-09-13 Randolph Linderman , Jingyang Zhang , Nathan Inkawhich , Hai Li , Yiran Chen

The work is devoted to the construction of a new type of intervals -- functional intervals. These intervals are built on the idea of expanding boundaries from numbers to functions. Functional intervals have shown themselves to be promising…

Numerical Analysis · Mathematics 2022-10-27 Dmitry A. Skorik

In this paper, we propose an ordered time series classification framework that is robust against missing classes in the training data, i.e., during testing we can prescribe classes that are missing during training. This framework relies on…

Machine Learning · Computer Science 2022-01-26 Jurijs Nazarovs , Cristian Lumezanu , Qianying Ren , Yuncong Chen , Takehiko Mizoguchi , Dongjin Song , Haifeng Chen

The majority of modern systems exhibit sophisticated concurrent behaviour, where several system components modify and observe the system state with fine-grained atomicity. Many systems (e.g., multi-core processors, real-time controllers)…

Logic in Computer Science · Computer Science 2013-05-28 Brijesh Dongol , John Derrick

Time series classification problems have drawn increasing attention in the machine learning and statistical community. Closely related is the field of functional data analysis (FDA): it refers to the range of problems that deal with the…

Machine Learning · Statistics 2021-02-25 Florian Pfisterer , Laura Beggel , Xudong Sun , Fabian Scheipl , Bernd Bischl

Classification is a well-studied machine learning task which concerns the assignment of instances to a set of outcomes. Classification models support the optimization of managerial decision-making across a variety of operational business…

Machine Learning · Computer Science 2025-05-19 Wouter Verbeke , Diego Olaya , Jeroen Berrevoets , Sam Verboven , Sebastián Maldonado

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

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

A central topic in functional data analysis is how to design an optimaldecision rule, based on training samples, to classify a data function. We exploit the optimal classification problem when data functions are Gaussian processes. Sharp…

Methodology · Statistics 2021-09-14 Shuoyang Wang , Zuofeng Shang , Guanqun Cao , Jun Liu

In Data Science, entities are typically represented by single valued measurements. Symbolic Data Analysis extends this framework to more complex structures, such as intervals and histograms, that express internal variability. We propose an…

Machine Learning · Statistics 2025-12-16 Diogo Pinheiro , M. Rosário Oliveira , Igor Kravchenko , Lina Oliveira
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