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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

Clustering high-dimensional data, such as images or biological measurements, is a long-standingproblem and has been studied extensively. Recently, Deep Clustering has gained popularity due toits flexibility in fitting the specific…

Machine Learning · Computer Science 2020-12-21 Andreas Kopf , Vincent Fortuin , Vignesh Ram Somnath , Manfred Claassen

We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean discrepancy (MMD). This optimized MMD…

We propose an effective regularization strategy (CW-TaLaR) for solving continual learning problems. It uses a penalizing term expressed by the Cramer-Wold distance between two probability distributions defined on a target layer of an…

Machine Learning · Computer Science 2021-11-16 Marcin Mazur , Łukasz Pustelnik , Szymon Knop , Patryk Pagacz , Przemysław Spurek

There has been a growing interest in statistical inference from data satisfying the so-called manifold hypothesis, assuming data points in the high-dimensional ambient space to lie in close vicinity of a submanifold of much lower dimension.…

Methodology · Statistics 2023-01-04 Rong Tang , Yun Yang

Feature selection poses a challenge in small-sample high-dimensional datasets, where the number of features exceeds the number of observations, as seen in microarray, gene expression, and medical datasets. There isn't a universally optimal…

Machine Learning · Computer Science 2024-07-23 Hossein Nematzadeh , Joseph Mani , Zahra Nematzadeh , Ebrahim Akbari , Radziah Mohamad

In many practical transfer learning scenarios, the feature distribution is different across the source and target domains (i.e. non-i.i.d.). Maximum mean discrepancy (MMD), as a domain discrepancy metric, has achieved promising performance…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Lei Zhang , Shanshan Wang , Guang-Bin Huang , Wangmeng Zuo , Jian Yang , David Zhang

We propose a semi-supervised generative model, SeGMA, which learns a joint probability distribution of data and their classes and which is implemented in a typical Wasserstein auto-encoder framework. We choose a mixture of Gaussians as a…

Machine Learning · Computer Science 2020-08-28 Marek Śmieja , Maciej Wołczyk , Jacek Tabor , Bernhard C. Geiger

Evaluating the realism of generated images remains a fundamental challenge in generative modeling. Existing distributional metrics such as the Frechet Inception Distance (FID) and CLIP-MMD (CMMD) compare feature distributions at a semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Joé Napolitano , Pascal Nguyen

The new wave of successful generative models in machine learning has increased the interest in deep learning driven de novo drug design. However, assessing the performance of such generative models is notoriously difficult. Metrics that are…

Machine Learning · Computer Science 2018-08-02 Kristina Preuer , Philipp Renz , Thomas Unterthiner , Sepp Hochreiter , Günter Klambauer

Comparing conditional distributions is a fundamental challenge in statistics and machine learning, with applications across a wide range of domains. While proposed methods for measuring discrepancies using kernel embeddings of distributions…

Machine Learning · Statistics 2026-05-05 Peter Moskvichev , Siu Lun Chau , Dino Sejdinovic

Jointly identifying a mixture of discrete and continuous factors of variability without supervision is a key problem in unraveling complex phenomena. Variational inference has emerged as a promising method to learn interpretable mixture…

Machine Learning · Computer Science 2021-04-14 Yeganeh M. Marghi , Rohan Gala , Uygar Sümbül

This paper tackles the emerging challenge of training generative models within a self-consuming loop, wherein successive generations of models are recursively trained on mixtures of real and synthetic data from previous generations. We…

Machine Learning · Computer Science 2024-06-25 Shi Fu , Sen Zhang , Yingjie Wang , Xinmei Tian , Dacheng Tao

Detecting changes is of fundamental importance when analyzing data streams and has many applications, e.g., in predictive maintenance, fraud detection, or medicine. A principled approach to detect changes is to compare the distributions of…

Machine Learning · Computer Science 2025-02-13 Florian Kalinke , Marco Heyden , Georg Gntuni , Edouard Fouché , Klemens Böhm

Multimodal data are prevalent across various domains, and learning robust representations of such data is paramount to enhancing generation quality and downstream task performance. To handle heterogeneity and interconnections among…

Machine Learning · Computer Science 2025-09-30 Yijie Zhang , Yiyang Shen , Weiran Wang

Advances in generative modeling have recently been adapted to tabular data containing discrete and continuous features. However, generating mixed-type features that combine discrete states with an otherwise continuous distribution in a…

Machine Learning · Computer Science 2026-05-14 Markus Mueller , Kathrin Gruber , Dennis Fok

Multi-View Clustering (MVC) has gained significant attention for its ability to leverage complementary information across diverse views. However, existing deep MVC methods often struggle with view-distribution entanglement during cross-view…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Xin Zou , Ruimeng Liu , Chang Tang , Zhenglai Li , Xinwang Liu , Kunlun He , Wanqing Li

Biclustering algorithms partition data and covariates simultaneously, providing new insights in several domains, such as analyzing gene expression to discover new biological functions. This paper develops a new model-free biclustering…

Methodology · Statistics 2022-08-09 Marcos Matabuena , J. C Vidal , Oscar Hernan Madrid Padilla , Dino Sejdinovic

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

We propose a novel method to learn intractable distributions from their samples. The main idea is to use a parametric distribution model, such as a Gaussian Mixture Model (GMM), to approximate intractable distributions by minimizing the…

Machine Learning · Computer Science 2023-08-15 Chenqiu Zhao , Guanfang Dong , Anup Basu