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Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

Machine Learning · Statistics 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

Image classification is a well-studied task in computer vision, and yet it remains challenging under high-uncertainty conditions, such as when input images are corrupted or training data are limited. Conventional classification approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Omer Belhasin , Shelly Golan , Ran El-Yaniv , Michael Elad

Linear discriminant analysis (LDA) is a powerful tool in building classifiers with easy computation and interpretation. Recent advancements in science technology have led to the popularity of datasets with high dimensions, high orders and…

Computation · Statistics 2019-04-09 Yuqing Pan , Qing Mai , Xin Zhang

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

This paper introduces a novel deep metric learning-based semi-supervised regression (DML-S2R) method for parameter estimation problems. The proposed DML-S2R method aims to mitigate the problems of insufficient amount of labeled samples…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Adina Zell , Gencer Sumbul , Begüm Demir

The two-sample problem, which consists in testing whether independent samples on $\mathbb{R}^d$ are drawn from the same (unknown) distribution, finds applications in many areas. Its study in high-dimension is the subject of much attention,…

Statistics Theory · Mathematics 2023-02-09 Stephan Clémençon , Myrto Limnios , Nicolas Vayatis

Many genomic experiments, notably microarray experiments seeking to detect differential gene expression, involve calculating a large number of p-values. This leads to the multiple testing problem: when the number of null hypotheses is…

Quantitative Methods · Quantitative Biology 2007-05-23 David R. Bickel

In this work, we study distance metric learning (DML) for high dimensional data. A typical approach for DML with high dimensional data is to perform the dimensionality reduction first before learning the distance metric. The main…

Machine Learning · Computer Science 2015-09-16 Qi Qian , Rong Jin , Lijun Zhang , Shenghuo Zhu

We propose a class of kernel-based two-sample tests, which aim to determine whether two sets of samples are drawn from the same distribution. Our tests are constructed from kernels parameterized by deep neural nets, trained to maximize test…

Machine Learning · Statistics 2021-01-15 Feng Liu , Wenkai Xu , Jie Lu , Guangquan Zhang , Arthur Gretton , Danica J. Sutherland

We introduce a new approach to variable selection, called Predictive Correlation Screening, for predictor design. Predictive Correlation Screening (PCS) implements false positive control on the selected variables, is well suited to small…

Machine Learning · Statistics 2013-04-11 Hamed Firouzi , Bala Rajaratnam , Alfred Hero

Machine learning has proved to be a useful tool for extracting knowledge from scientific data in numerous research fields, including astrophysics, genomics, and molecular dynamics. Often, data sets from these research areas need to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Javier Álvarez Cid-Fuentes , Pol Álvarez , Salvi Solà , Kuninori Ishii , Rafael K. Morizawa , Rosa M. Badia

A common problem in genetics is that of testing whether a set of highly dependent gene expressions differ between two populations, typically in a high-dimensional setting where the data dimension is larger than the sample size. Most…

Methodology · Statistics 2015-03-11 Måns Thulin

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

Machine Learning · Statistics 2013-02-22 Oren Rippel , Ryan Prescott Adams

Hyperspectral remote sensing is a promising tool for a variety of applications including ecology, geology, analytical chemistry and medical research. This article presents the new \hsdar package for R statistical software, which performs a…

Other Statistics · Statistics 2019-05-28 Lukas W. Lehnert , Hanna Meyer , Wolfgang A. Obermeier , Brenner Silva , Bianca Regeling , Jörg Bendix

Label distribution learning (LDL) is an interpretable and general learning paradigm that has been applied in many real-world applications. In contrast to the simple logical vector in single-label learning (SLL) and multi-label learning…

Machine Learning · Computer Science 2020-07-08 Xinyuan Liu , Jihua Zhu , Qinghai Zheng , Zhongyu Li , Ruixin Liu , Jun Wang

The growing influence of data science in statistics education requires tools that make key concepts accessible through real-world applications. We introduce "Data Science Looks At Discrimination" (dsld), an R package that provides a…

Recent years have witnessed the remarkable success of deep learning in remote sensing image interpretation, driven by the availability of large-scale benchmark datasets. However, this reliance on massive training data also brings two major…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Yonghao Xu , Pedram Ghamisi , Qihao Weng

The two-sample hypothesis testing problem is studied for the challenging scenario of high dimensional data sets with small sample sizes. We show that the two-sample hypothesis testing problem can be posed as a one-class set classification…

Machine Learning · Statistics 2017-11-15 Hamed Masnadi-Shirazi

As a big data application, extreme multilabel classification has emerged as an important research topic with applications in ranking and recommendation of products and items. A scalable hybrid distributed and shared memory implementation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Pawan Kumar

We introduce sparse random projection, an important dimension-reduction tool from machine learning, for the estimation of discrete-choice models with high-dimensional choice sets. Initially, high-dimensional data are compressed into a…

Machine Learning · Statistics 2016-04-21 Khai X. Chiong , Matthew Shum