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This work proposed kernel selection approaches for probabilistic classifiers based on features produced by the convolutional encoder of a variational autoencoder. Particularly, the developed methodologies allow the selection of the most…

Machine Learning · Computer Science 2025-08-05 Fábio Mendonça , Sheikh Shanawaz Mostafa , Fernando Morgado-Dias , Antonio G. Ravelo-García

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

We implement extensions of the partial least squares generalized linear regression (PLSGLR) due to Bastien et al. (2005) through its combination with logistic regression and linear discriminant analysis, to get a partial least squares…

Computation · Statistics 2019-06-20 Adolphus Wagala , Graciela Gonzalez-Farıas , Rogelio Ramos , Oscar Dalmau

We propose Region-wise (RW) loss for biomedical image segmentation. Region-wise loss is versatile, can simultaneously account for class imbalance and pixel importance, and it can be easily implemented as the pixel-wise multiplication…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 Juan Miguel Valverde , Jussi Tohka

We present a novel coreset construction algorithm for solving classification tasks using Support Vector Machines (SVMs) in a computationally efficient manner. A coreset is a weighted subset of the original data points that provably…

Data Structures and Algorithms · Computer Science 2017-11-13 Cenk Baykal , Lucas Liebenwein , Wilko Schwarting

We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems. Recently, the authors developed a mathematical framework…

Dynamical Systems · Mathematics 2020-02-04 Andreas Bittracher , Stefan Klus , Boumediene Hamzi , Péter Koltai , Christof Schütte

We have developed a nonlocal algorithm for estimating polarimetric synthetic aperture radar (PolSAR) covariance matrices on single-look complex (SLC) format resolution. The algorithm is inspired by recent work with guided nonlocal means…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Jørgen A. Agersborg , Stian Normann Anfinsen , Jane Uhd Jepsen

We study risk-sensitive Reinforcement Learning (RL), where we aim to maximize the Conditional Value at Risk (CVaR) with a fixed risk tolerance $\tau$. Prior theoretical work studying risk-sensitive RL focuses on the tabular Markov Decision…

Machine Learning · Computer Science 2023-11-21 Yulai Zhao , Wenhao Zhan , Xiaoyan Hu , Ho-fung Leung , Farzan Farnia , Wen Sun , Jason D. Lee

Typically, voice conversion is regarded as an engineering problem with limited training data. The reliance on massive amounts of data hinders the practical applicability of deep learning approaches, which have been extensively researched in…

Sound · Computer Science 2023-09-11 Mohamadreza Jafaryani , Hamid Sheikhzadeh , Vahid Pourahmadi

This paper studies the subspace segmentation problem which aims to segment data drawn from a union of multiple linear subspaces. Recent works by using sparse representation, low rank representation and their extensions attract much…

Computer Vision and Pattern Recognition · Computer Science 2014-04-29 Can-Yi Lu , Hai Min , Zhong-Qiu Zhao , Lin Zhu , De-Shuang Huang , Shuicheng Yan

Kernel machines often yield superior predictive performance on various tasks; however, they suffer from severe computational challenges. In this paper, we show how to overcome the important challenge of speeding up kernel machines. In…

Machine Learning · Computer Science 2016-08-09 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

Polarimetric synthetic aperture radar (PolSAR) has achieved a prominent position as a remote imaging method. However, PolSAR images are contaminated by speckle noise due to the coherent illumination employed during the data acquisition.…

Statistics Theory · Mathematics 2020-06-16 Abraão D. C. Nascimento , Michelle M. Horta , Alejandro C. Frery , Renato J. Cintra

Conventional SVM-based image coding methods are founded on independently restricting the distortion in every image coefficient at some particular image representation. Geometrically, this implies allowing arbitrary signal distortions in an…

Computer Vision and Pattern Recognition · Computer Science 2013-10-21 Gustavo Camps-Valls , Juan Gutiérrez , Gabriel Gómez-Pérez , Jesús Malo

In Few-Shot Learning (FSL), traditional metric-based approaches often rely on global metrics to compute similarity. However, in natural scenes, the spatial arrangement of key instances is often inconsistent across images. This spatial…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Hao Tang , Junhao Lu , Guoheng Huang , Ming Li , Xuhang Chen , Guo Zhong , Zhengguang Tan , Zinuo Li

A general framework of spatio-spectral segmentation for multi-spectral images is introduced in this paper. The method is based on classification-driven stochastic watershed (WS) by Monte Carlo simulations, and it gives more regular and…

Computer Vision and Pattern Recognition · Computer Science 2016-02-10 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

Assessing the health status (HS) of system/component has long been a challenging task in the prognostic and health management (PHM) study. Differed from other regression based prognostic task such as predicting the remaining useful life,…

Signal Processing · Electrical Eng. & Systems 2022-04-12 Zekun Wu , Kaiwei Wu

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

We study post-training interpretability for Support Vector Machines (SVMs) built from truncated orthogonal polynomial kernels. Since the associated reproducing kernel Hilbert space is finite-dimensional and admits an explicit tensor-product…

Machine Learning · Statistics 2026-04-17 Víctor Soto-Larrosa , Nuria Torrado , Edmundo J. Huertas

We develop and analyze a projected particle Langevin optimization method to learn the distribution in the Sch\"{o}nberg integral representation of the radial basis functions from training samples. More specifically, we characterize a…

Statistics Theory · Mathematics 2020-07-06 Masoud Badiei Khuzani , Yinyu Ye , Sandy Napel , Lei Xing

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte
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