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This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

Statistics Theory · Mathematics 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

Motivated by the need for accurate traffic flow prediction in transportation management, we propose a functional data method to analyze traffic flow patterns and predict future traffic flow. In this study we approach the problem by sampling…

Applications · Statistics 2013-01-14 Jeng-Min Chiou

We study the functional linear regression model with a scalar response and a Hilbert space-valued predictor, a canonical example of an ill-posed inverse problem. We show that the functional partial least squares (PLS) estimator attains…

Statistics Theory · Mathematics 2025-05-08 Andrii Babii , Marine Carrasco , Idriss Tsafack

There has been increasing attention to semi-supervised learning (SSL) approaches in machine learning to forming a classifier in situations where the training data for a classifier consists of a limited number of classified observations but…

Machine Learning · Statistics 2021-11-10 Daniel Ahfock , Geoffrey J. McLachlan

Data for which a set of objects is described by multiple distinct feature sets (called views) is known as multi-view data. When missing values occur in multi-view data, all features in a view are likely to be missing simultaneously. This…

Machine Learning · Statistics 2024-06-21 Wouter van Loon , Marjolein Fokkema , Frank de Vos , Marisa Koini , Reinhold Schmidt , Mark de Rooij

Motivated by the challenges of analyzing high-dimensional ($p \gg n$) sequencing data from longitudinal microbiome studies, where samples are collected at multiple time points from each subject, we propose supervised functional tensor…

Methodology · Statistics 2024-10-15 Mohammad Samsul Alam , Ana-Maria Staicu , Pixu Shi

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

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

In this paper, we propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under high-dimensional multivariate functional data setting.…

Methodology · Statistics 2022-05-04 Ali Mahzarnia , Jun Song

In machine learning, classification is usually seen as a function approximation problem, where the goal is to learn a function that maps input features to class labels. In this paper, we propose a novel clustering and classification…

Machine Learning · Computer Science 2025-02-25 Hrushikesh Mhaskar , Ryan O'Dowd , Efstratios Tsoukanis

In this paper we consider the problems of supervised classification and regression in the case where attributes and labels are functions: a data is represented by a set of functions, and the label is also a function. We focus on the use of…

Machine Learning · Computer Science 2016-11-03 Hachem Kadri , Emmanuel Duflos , Philippe Preux , Stéphane Canu , Alain Rakotomamonjy , Julien Audiffren

Only learning one projection matrix from original samples to the corresponding binary labels is too strict and will consequentlly lose some intrinsic geometric structures of data. In this paper, we propose a novel transition subspace…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Zhe Chen , Xiao-Jun Wu , Josef Kittler

Functional regression is very crucial in functional data analysis and a linear relationship between scalar response and functional predictor is often assumed. However, the linear assumption may not hold in practice, which makes the methods…

Methodology · Statistics 2023-01-18 Rou Zhong , Dongxue Wang , Jingxiao Zhang

Multi Task Learning (MTL) efficiently leverages useful information contained in multiple related tasks to help improve the generalization performance of all tasks. This article conducts a large dimensional analysis of a simple but, as we…

Machine Learning · Statistics 2020-09-04 Malik Tiomoko , Romain Couillet , Hafiz Tiomoko

In this paper, we presented a novel semi-supervised one-class classification algorithm which assumes that class is linearly separable from other elements. We proved theoretically that class is linearly separable if and only if it is maximal…

Machine Learning · Statistics 2017-05-03 Evgeny Bauman , Konstantin Bauman

A new method for clustering functional data is proposed via information maximization. The proposed method learns a probabilistic classifier in an unsupervised manner so that mutual information (or squared loss mutual information) between…

Applications · Statistics 2023-06-08 Xinyu Li , Jianjun Xu , Haoyang Cheng

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

Many problems within personalized medicine and digital health rely on the analysis of continuous-time functional biomarkers and other complex data structures emerging from high-resolution patient monitoring. In this context, this work…

Machine Learning · Statistics 2025-01-14 Marcos Matabuena

Prompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and…

Methodology · Statistics 2023-07-12 Matthias Eckardt , Carles Comas , Jorge Mateu

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore