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The parallel alternating direction method of multipliers (ADMM) algorithms have gained popularity in statistics and machine learning due to their efficient handling of large sample data problems. However, the parallel structure of these…

Statistics Theory · Mathematics 2024-04-11 Xiaofei Wu , Jiancheng Jiang , Zhimin Zhang

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

Statistics Theory · Mathematics 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

The effectiveness of spectral-spatial feature learning is crucial for the hyperspectral image (HSI) classification task. Diffusion models, as a new class of groundbreaking generative models, have the ability to learn both contextual…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Jingyi Zhou , Jiamu Sheng , Jiayuan Fan , Peng Ye , Tong He , Bin Wang , Tao Chen

Overparameterized machine learning (ML) methods such as neural networks may be prohibitively resource intensive for devices with limited computational capabilities. Hyperdimensional computing (HDC) is an emerging resource efficient and…

Machine Learning · Computer Science 2026-03-05 Nikita Zeulin , Olga Galinina , Ravikumar Balakrishnan , Nageen Himayat , Sergey Andreev

This work focuses on non-adaptive combinatorial group testing, with a primary goal of efficiently identifying a set of at most $d$ defective elements among a given set of $n$ elements using the fewest possible tests. Non-adaptive…

Information Theory · Computer Science 2026-04-28 Daniil Goshkoder , Nikita Polyanskii , Ilya Vorobyev

In high dimension, low sample size (HDLSS) settings, classifiers based on Euclidean distances like the nearest neighbor classifier and the average distance classifier perform quite poorly if differences between locations of the underlying…

Methodology · Statistics 2022-03-08 Sarbojit Roy , Soham Sarkar , Subhajit Dutta , Anil K. Ghosh

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

Classical metric and non-metric multidimensional scaling (MDS) variants are widely known manifold learning (ML) methods which enable construction of low dimensional representation (projections) of high dimensional data inputs. However,…

Data Analysis, Statistics and Probability · Physics 2014-06-16 Denis Horvath , Jozef Ulicny , Branislav Brutovsky

This paper introduces a new method for model selection and more generally hyperparameter selection in machine learning. Minimum description length (MDL) is an established method for model selection, which is however not directly aimed at…

Machine Learning · Computer Science 2019-05-23 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang

Bias evaluation is fundamental to trustworthy AI, both in terms of checking data quality and in terms of checking the outputs of AI systems. In testing data quality, for example, one may study the distance of a given dataset, viewed as a…

Machine Learning · Computer Science 2025-06-12 Jiří Němeček , Mark Kozdoba , Illia Kryvoviaz , Tomáš Pevný , Jakub Mareček

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Pantea Nadimi Goki , Luca Potì

We propose a novel algorithm for the task of supervised discriminative distance learning by nonlinearly embedding vectors into a low dimensional Euclidean space. We work in the challenging setting where supervision is with constraints on…

Computer Vision and Pattern Recognition · Computer Science 2015-09-30 Gaurav Sharma , Bernt Schiele

Automatic mammogram classification and mass segmentation play a critical role in a computer-aided mammogram screening system. In this work, we present a unified mammogram analysis framework for both whole-mammogram classification and…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Rongzhao Zhang , Han Zhang , Albert C. S. Chung

Multi-dimensional classification (MDC) can be employed in a range of applications where one needs to predict multiple class variables for each given instance. Many existing MDC methods suffer from at least one of inaccuracy, scalability,…

Machine Learning · Computer Science 2023-11-28 Vu-Linh Nguyen , Yang Yang , Cassio de Campos

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

Machine Learning · Computer Science 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

High-dimensional classification is a fundamentally important research problem in high-dimensional data analysis. In this paper, we derive a nonasymptotic rate for the minimax excess misclassification risk when feature dimension…

Statistics Theory · Mathematics 2023-03-07 Shuoyang Wang , Zuofeng Shang

As the cost of training large language models continues to increase and high-quality training data become increasingly scarce, selecting high-value samples or synthesizing effective training data under limited data budgets has emerged as a…

Computation and Language · Computer Science 2026-01-19 Bo Yang , Yunkui Chen , Lanfei Feng , Yu Zhang , Shijian Li

Given a small set of labeled data and a large set of unlabeled data, semi-supervised learning (SSL) attempts to leverage the location of the unlabeled datapoints in order to create a better classifier than could be obtained from supervised…

Machine Learning · Computer Science 2022-05-25 Michael C. Burkhart , Kyle Shan

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

Applications · Statistics 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox
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