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Functional variables are often used as predictors in regression problems. A commonly-used parametric approach, called {\it scalar-on-function regression}, uses the $\ltwo$ inner product to map functional predictors into scalar responses.…

Methodology · Statistics 2020-06-02 Kyungmin Ahn , J. Derek Tucker , Wei Wu , Anuj Srivastava

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

Deep learning provides powerful methods to impute structured information from large-scale, unstructured text and image datasets. For example, economists might wish to detect the presence of economic activity in satellite images, or to…

General Economics · Economics 2024-11-14 Melissa Dell

Classifications organize entities into categories that identify similarities within a category and discern dissimilarities among categories, and they powerfully classify information in support of analysis. We propose a new classification…

Optimization and Control · Mathematics 2022-09-05 Casey Garner , Allen Holder

Sentiment analysis, a popular technique for opinion mining, has been used by the software engineering research community for tasks such as assessing app reviews, developer emotions in issue trackers and developer opinions on APIs. Past…

Computation and Language · Computer Science 2018-12-27 Achyudh Ram , Meiyappan Nagappan

We propose a coefficient that measures dependence in paired samples of functions. It has properties similar to the Pearson correlation, but differs in significant ways: (i) it is designed to measure dependence between curves, (ii) it…

Statistics Theory · Mathematics 2025-10-02 Mihyun Kim , Piotr Kokoszka

We aim to analyze the behaviour of a finite-time stochastic system, whose model is not available, in the context of more rare and harmful outcomes. Standard estimators are not effective in making predictions about such outcomes due to their…

Methodology · Statistics 2022-07-29 Evan Arsenault , Yuheng Wang , Margaret P. Chapman

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

Methodology · Statistics 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

Event extraction (EE) is a crucial research task for promptly apprehending event information from massive textual data. With the rapid development of deep learning, EE based on deep learning technology has become a research hotspot.…

Computation and Language · Computer Science 2022-11-16 Qian Li , Jianxin Li , Jiawei Sheng , Shiyao Cui , Jia Wu , Yiming Hei , Hao Peng , Shu Guo , Lihong Wang , Amin Beheshti , Philip S. Yu

Functional depth is the functional data analysis technique that orders a functional data set. Unlike the case of data on the real line, defining this order is non-trivial, and particularly, with functional data, there are a number of…

Methodology · Statistics 2022-06-29 Alicia Nieto-Reyes , John A. D. Aston

Archetypal analysis approximates data by means of mixtures of actual extreme cases (archetypoids) or archetypes, which are a convex combination of cases in the data set. Archetypes lie on the boundary of the convex hull. This makes the…

Machine Learning · Statistics 2018-12-31 Jesús Moliner , Irene Epifanio

Label distribution (LD) uses the description degree to describe instances, which provides more fine-grained supervision information when learning with label ambiguity. Nevertheless, LD is unavailable in many real-world applications. To…

Machine Learning · Computer Science 2023-03-22 Zhiqiang Kou , Yuheng Jia , Jing Wang , Boyu Shi , Xin Geng

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

Statistics Theory · Mathematics 2026-05-06 Stephan Clémençon , Anne Sabourin

Despite increasing accessibility to function data, effective methods for flexibly estimating underlying functional trend are still scarce. We thereby develop functional version of trend filtering for estimating trend of functional data…

Methodology · Statistics 2022-02-22 Tomoya Wakayama , Shonosuke Sugasawa

Multimodal wearable sensor data classification plays an important role in ubiquitous computing and has a wide range of applications in scenarios from healthcare to entertainment. However, most existing work in this field employs…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Xiang Zhang , Lina Yao , Chaoran Huang , Sen Wang , Mingkui Tan , Guodong Long , Can Wang

Modeling heterogeneity on heavy-tailed distributions under a regression framework is challenging, and classical statistical methodologies usually place conditions on the distribution models to facilitate the learning procedure. However,…

Methodology · Statistics 2024-10-29 Jiaxi Wang , Yanxi Hou , Xingchi Li , Tiandong Wang

The positioning of this research falls within the scalar-on-function classification literature, a field of significant interest across various domains, particularly in statistics, mathematics, and computer science. This study introduces an…

Machine Learning · Statistics 2025-02-27 Fabrizio Maturo , Annamaria Porreca

Bayes classifiers for functional data pose a challenge. This is because probability density functions do not exist for functional data. As a consequence, the classical Bayes classifier using density quotients needs to be modified. We…

Statistics Theory · Mathematics 2016-05-13 Xiongtao Dai , Hans-Georg Müller , Fang Yao

The application of counterfactual explanation (CE) techniques in the realm of electroencephalography (EEG) classification has been relatively infrequent in contemporary research. In this study, we attempt to introduce and explore a novel…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Kang Yin , Hye-Bin Shin , Hee-Dong Kim , Seong-Whan Lee

Despite its extensive development for multivariate data, semi-supervised learning remains underdeveloped for functional data. To address this challenge, we extend the Fermat distance, a density-sensitive metric aligning with the…

Methodology · Statistics 2026-04-01 Ruoxu Tan , Mingjie Jian , Yiming Zang