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Convex clustering is a convex relaxation of the $k$-means and hierarchical clustering. It involves solving a convex optimization problem with the objective function being a squared error loss plus a fusion penalty that encourages the…

Methodology · Statistics 2024-10-10 Qiang Sun , Archer Gong Zhang , Chenyu Liu , Kean Ming Tan

We benchmark the robustness of maximum likelihood based uncertainty estimation methods to outliers in training data for regression tasks. Outliers or noisy labels in training data results in degraded performances as well as incorrect…

Machine Learning · Computer Science 2022-02-09 Deebul S. Nair , Nico Hochgeschwender , Miguel A. Olivares-Mendez

Missing values frequently arise in modern biomedical studies due to various reasons, including missing tests or complex profiling technologies for different omics measurements. Missing values can complicate the application of clustering…

Machine Learning · Statistics 2019-02-27 Shahin Boluki , Siamak Zamani Dadaneh , Xiaoning Qian , Edward R. Dougherty

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

Machine Learning · Computer Science 2017-09-15 John Lipor , Laura Balzano

Clustering is one of the fundamental problems in unsupervised learning. Recent deep learning based methods focus on learning clustering oriented representations. Among those methods, Variational Deep Embedding achieves great success in…

Machine Learning · Computer Science 2021-03-12 Ruixuan Luo , Wei Li , Zhiyuan Zhang , Ruihan Bao , Keiko Harimoto , Xu Sun

Clustering algorithms play a fundamental role as tools in decision-making and sensible automation processes. Due to the widespread use of these applications, a robustness analysis of this family of algorithms against adversarial noise has…

Machine Learning · Computer Science 2021-11-11 Antonio Emanuele Cinà , Alessandro Torcinovich , Marcello Pelillo

Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

Machine Learning · Computer Science 2024-07-30 Ryosuke Motegi , Yoichi Seki

We show how to turn any classifier that classifies well under Gaussian noise into a new classifier that is certifiably robust to adversarial perturbations under the $\ell_2$ norm. This "randomized smoothing" technique has been proposed…

Machine Learning · Computer Science 2019-06-18 Jeremy M Cohen , Elan Rosenfeld , J. Zico Kolter

In many situations where the interest lies in identifying clusters one might expect that not all available variables carry information about these groups. Furthermore, data quality (e.g. outliers or missing entries) might present a serious…

Machine Learning · Statistics 2012-01-31 Yumi Kondo , Matias Salibian-Barrera , Ruben Zamar

Do expert-defined or diagnostically-labeled data groups align with clusters inferred through statistical modeling? If not, where do discrepancies between predefined labels and model-based groupings occur and why? In this work, we introduce…

Methodology · Statistics 2026-03-18 Patricia Puchhammer , Ines Wilms , Peter Filzmoser

Unsupervised image clustering methods often introduce alternative objectives to indirectly train the model and are subject to faulty predictions and overconfident results. To overcome these challenges, the current research proposes an…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Sungwon Park , Sungwon Han , Sundong Kim , Danu Kim , Sungkyu Park , Seunghoon Hong , Meeyoung Cha

We propose a new clustering algorithm that is robust to the presence of outliers in the dataset. We perform Lloyd-type iterations with robust estimates of the centroids. More precisely, we build on the idea of median-of-means statistics to…

Methodology · Statistics 2020-08-20 Camille Brunet-Saumard , Edouard Genetay , Adrien Saumard

We propose a clustering-based iterative algorithm to solve certain optimization problems in machine learning, where we start the algorithm by aggregating the original data, solving the problem on aggregated data, and then in subsequent…

Machine Learning · Statistics 2017-01-23 Young Woong Park , Diego Klabjan

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

Methodology · Statistics 2021-04-27 Matteo Farnè , Angelos Vouldis

Despite significant advancements in out-of-distribution (OOD) detection, existing methods still struggle to maintain robustness against adversarial attacks, compromising their reliability in critical real-world applications. Previous…

Machine Learning · Computer Science 2025-04-22 Hossein Mirzaei , Mackenzie W. Mathis

We consider the problem of Gaussian mixture clustering in the high-dimensional limit where the data consists of $m$ points in $n$ dimensions, $n,m \rightarrow \infty$ and $\alpha = m/n$ stays finite. Using exact but non-rigorous methods…

Machine Learning · Statistics 2017-03-24 Thibault Lesieur , Caterina De Bacco , Jess Banks , Florent Krzakala , Cris Moore , Lenka Zdeborová

Bayesian Optimization is critically vulnerable to extreme outliers. Existing provably robust methods typically assume a bounded cumulative corruption budget, which makes them defenseless against even a single corruption of sufficient…

Machine Learning · Statistics 2026-02-17 Abdelhamid Ezzerg , Ilija Bogunovic , Jeremias Knoblauch

This short communication addresses the problem of elliptic localization with outlier measurements. Outliers are prevalent in various location-enabled applications, and can significantly compromise the positioning performance if not…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Wenxin Xiong , Yuming Chen , Jiajun He , Zhang-Lei Shi , Keyuan Hu , Hing Cheung So , Chi-Sing Leung
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