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We consider nonparametric prediction with multiple covariates, in particular categorical or functional predictors, or a mixture of both. The method proposed bases on an extension of the Nadaraya-Watson estimator where a kernel function is…

Methodology · Statistics 2022-08-05 Leonie Selk , Jan Gertheiss

We introduce variational spectral learning (VSL), a machine learning framework for solving partial differential equations (PDEs) that operates directly in the coefficient space of spectral expansions. VSL offers a principled bridge between…

Numerical Analysis · Mathematics 2026-01-07 M. M. Hammad

In this paper, we investigated the semantic segmentation of Polarimetric Synthetic Aperture Radar (PolSAR) using Complex-Valued Neural Network (CVNN). Although the coherency matrix is more widely used as the input of CVNN, the Pauli vector…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 José Agustin Barrachina , Chengfang Ren , Christèle Morisseau , Gilles Vieillard , Jean-Philippe Ovarlez

Semantic segmentation is a core computer vision problem, but the high costs of data annotation have hindered its wide application. Weakly-Supervised Semantic Segmentation (WSSS) offers a cost-efficient workaround to extensive labeling in…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Elham Ravanbakhsh , Cheng Niu , Yongqing Liang , J. Ramanujam , Xin Li

Voxel-based lesion-symptom mapping (VLSM) is an important method for basic and translational human neuroscience research. VLSM leverages modern neuroimaging analysis techniques to build on the classic approach of examining the relationship…

Pixel-level vision tasks, such as semantic segmentation, require extensive and high-quality annotated data, which is costly to obtain. Semi-supervised semantic segmentation (SSSS) has emerged as a solution to alleviate the labeling burden…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Danhui Chen , Ziquan Liu , Chuxi Yang , Dan Wang , Yan Yan , Yi Xu , Xiangyang Ji

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

Methodology · Statistics 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Spatial processes observed in various fields, such as climate and environmental science, often occur on a large scale and demonstrate spatial nonstationarity. Fitting a Gaussian process with a nonstationary Mat\'ern covariance is…

Machine Learning · Statistics 2023-06-21 Pratik Nag , Yiping Hong , Sameh Abdulah , Ghulam A. Qadir , Marc G. Genton , Ying Sun

In the domain of medical imaging, many supervised learning based methods for segmentation face several challenges such as high variability in annotations from multiple experts, paucity of labelled data and class imbalanced datasets. These…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Soumick Chatterjee , Franziska Gaidzik , Alessandro Sciarra , Hendrik Mattern , Gábor Janiga , Oliver Speck , Andreas Nürnberger , Sahani Pathiraja

Kernel-based classification methods, particularly the support vector machine (SVM), are among the most common algorithms for hyperspectral data classification. The Radial Basis function (RBF) kernel has earned great popularity in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Saeid Niazmardi

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding…

Optimization and Control · Mathematics 2019-11-07 Quentin Klopfenstein , Samuel Vaiter

This paper presents a structured dictionary-based model for hyperspectral data that incorporates both spectral and contextual characteristics of a spectral sample, with the goal of hyperspectral image classification. The idea is to…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 Ali Soltani-Farani , Hamid R. Rabiee , Seyyed Abbas Hosseini

We propose a novel method for semantic segmentation, the task of labeling each pixel in an image with a semantic class. Our method combines the advantages of the two main competing paradigms. Methods based on region classification offer…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Holger Caesar , Jasper Uijlings , Vittorio Ferrari

In this paper, the sphere bound (SB) is revisited within a general bounding framework based on nested Gallager regions. The equivalence is revealed between the SB proposed by Herzberg and Poltyrev and the SB proposed by Kasami et al.,…

Information Theory · Computer Science 2016-10-24 Ma Xiao , Liu Jia , Zhao Shancheng

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

Machine Learning · Computer Science 2022-09-13 Sarwan Ali , Bikram Sahoo , Muhammad Asad Khan , Alexander Zelikovsky , Imdad Ullah Khan , Murray Patterson

Representing, comparing, and measuring the distance between probability distributions is a key task in computational statistics and machine learning. The choice of representation and the associated distance determine properties of the…

Machine Learning · Statistics 2026-02-26 Masha Naslidnyk

Medical image segmentation is more clinically valuable when it supports diagnosis rather than merely producing lesion masks. However, diagnostically relevant lesion cues are often subtle and localized, while existing models may be…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Fengyi Zhang , Xujie Zeng , Mohan Liu , Zengyi Wang , Yalong Jiang

In this paper, we study the estimation of partially linear models for spatial data distributed over complex domains. We use bivariate splines over triangulations to represent the nonparametric component on an irregular two-dimensional…

Statistics Theory · Mathematics 2021-06-03 Li Wang , Guannan Wang , Min-Jun Lai , Lei Gao

Support vector machines (SVMs) are widely used machine learning models (e.g., in remote sensing), with formulations for both classification and regression tasks. In the last years, with the advent of working quantum annealers, hybrid SVM…

Emerging Technologies · Computer Science 2024-11-05 Enrico Zardini , Amer Delilbasic , Enrico Blanzieri , Gabriele Cavallaro , Davide Pastorello

Weak form Scientific Machine Learning (WSciML) is a recently developed framework for data-driven modeling and scientific discovery. It leverages the weak form of equation error residuals to provide enhanced noise robustness in system…

Numerical Analysis · Mathematics 2025-07-08 April Tran , David Bortz
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