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Motivated by the growing popularity of variants of the Wasserstein distance in statistics and machine learning, we study statistical inference for the Sliced Wasserstein distance--an easily computable variant of the Wasserstein distance.…

Statistics Theory · Mathematics 2022-04-05 Tudor Manole , Sivaraman Balakrishnan , Larry Wasserman

The learning of domain-invariant representations in the context of domain adaptation with neural networks is considered. We propose a new regularization method that minimizes the discrepancy between domain-specific latent feature…

The median absolute deviation (MAD) is a robust measure of scale that is simple to implement and easy to interpret. Motivated by this, we introduce interval estimators of the MAD to make reliable inferences for dispersion for a single…

Statistics Theory · Mathematics 2024-08-06 Chandima N. P. G. Arachchige , Luke A. Prendergast

In machine learning, the performance of a classifier depends on both the classifier model and the separability/complexity of datasets. To quantitatively measure the separability of datasets, we create an intrinsic measure -- the…

Machine Learning · Computer Science 2021-09-14 Shuyue Guan , Murray Loew

Detecting uncertainty in large language models (LLMs) is essential for building reliable systems, yet many existing approaches are overly complex and depend on brittle semantic clustering or access to model internals. We introduce Radial…

Machine Learning · Computer Science 2026-04-08 Manh Nguyen , Sunil Gupta , Hung Le

The Wasserstein distance has emerged as a key metric to quantify distances between probability distributions, with applications in various fields, including machine learning, control theory, decision theory, and biological systems.…

Machine Learning · Computer Science 2026-02-10 Eduardo Figueiredo , Steven Adams , Luca Laurenti

Single-cell omics enable the profiles of cells, which contain large numbers of biological features, to be quantified. Cluster analysis, a dimensionality reduction process, is used to reduce the dimensions of the data to make it…

Genomics · Quantitative Biology 2024-06-06 Okezue Bell , Arthur Lee , Elizabeth Engle

Modern data analyses frequently encounter settings where samples of variables are contaminated by measurement error. Ignoring measurement noise can substantially degrade statistical inference, while existing correction techniques are often…

Methodology · Statistics 2026-04-15 Ritwik Vashistha , Jeff M. Phillips , Abhra Sarkar , Arya Farahi

Mirror Descent is a popular algorithm, that extends Gradients Descent (GD) beyond the Euclidean geometry. One of its benefits is to enable strong convergence guarantees through smooth-like analyses, even for objectives with exploding or…

Optimization and Control · Mathematics 2024-04-19 Hadrien Hendrikx

We introduce a method, MMD-B-Fair, to learn fair representations of data via kernel two-sample testing. We find neural features of our data where a maximum mean discrepancy (MMD) test cannot distinguish between representations of different…

Machine Learning · Statistics 2023-04-26 Namrata Deka , Danica J. Sutherland

Overlapping frequently occurs in paired texts in natural language processing tasks like text editing and semantic similarity evaluation. Better evaluation of the semantic distance between the overlapped sentences benefits the language…

Computation and Language · Computer Science 2023-06-14 Letian Peng , Zuchao Li , Hai Zhao

This paper presents a distance-based discriminative framework for learning with probability distributions. Instead of using kernel mean embeddings or generalized radial basis kernels, we introduce embeddings based on dissimilarity of…

Machine Learning · Computer Science 2018-11-16 Alain Rakotomamonjy , Abraham Traoré , Maxime Berar , Rémi Flamary , Nicolas Courty

Machine learning systems are increasingly deployed in high-stakes domains, yet they remain vulnerable to bias systematic disparities that disproportionately impact specific demographic groups. Traditional bias detection methods often depend…

Machine Learning · Computer Science 2025-06-16 Chirudeep Tupakula , Rittika Shamsuddin

We propose and analyze the moving median absolute deviation (MMAD) as a robust depth construction based on the median absolute distance functional with particular emphasis on its local geometry and probabilistic structure. In the univariate…

Methodology · Statistics 2026-05-07 Elsayed Elamir

Optimal Transport (OT) metrics allow for defining discrepancies between two probability measures. Wasserstein distance is for longer the celebrated OT-distance frequently-used in the literature, which seeks probability distributions to be…

Machine Learning · Computer Science 2021-10-14 Mokhtar Z. Alaya , Gilles Gasso , Maxime Berar , Alain Rakotomamonjy

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Deep neural networks (DNNs) are often prone to learn the spurious correlations between target classes and bias attributes, like gender and race, inherent in a major portion of training data (bias-aligned samples), thus showing unfair…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Mei Wang , Weihong Deng , Jiani Hu , Sen Su

Dataset Distillation (DD) aims to generate a compact synthetic dataset that enables models to achieve performance comparable to training on the full large dataset, significantly reducing computational costs. Drawing from optimal transport…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Haoyang Liu , Yijiang Li , Tiancheng Xing , Peiran Wang , Vibhu Dalal , Luwei Li , Jingrui He , Haohan Wang

Bias field, which is caused by imperfect MR devices or imaged objects, introduces intensity inhomogeneity into MR images and degrades the performance of MR image analysis methods. Many retrospective algorithms were developed to facilitate…

Image and Video Processing · Electrical Eng. & Systems 2023-08-01 Dong Liang , Xingyu Qiu , Kuanquan Wang , Gongning Luo , Wei Wang , Yashu Liu

Minimum distance estimation (MDE) gained recent attention as a formulation of (implicit) generative modeling. It considers minimizing, over model parameters, a statistical distance between the empirical data distribution and the model. This…

Statistics Theory · Mathematics 2020-10-21 Ziv Goldfeld , Kristjan Greenewald , Kengo Kato