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Related papers: On the Consistency of Quick Shift

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Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

Statistics Theory · Mathematics 2024-03-25 Nicholas Waltz

Clustering is one of the most fundamental problems in unsupervised learning with a large number of applications. However, classical clustering algorithms assume that the data is static, thus failing to capture many real-world applications…

Data Structures and Algorithms · Computer Science 2020-02-11 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski , Christian Schulz , Alexander Svozil

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physics and computer science literature. Recently this area has…

Probability · Mathematics 2020-05-05 Gerandy Brito , Ioana Dumitriu , Shirshendu Ganguly , Christopher Hoffman , Linh V. Tran

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

In this work, we consider the problem of mode clustering in Markov jump models. This model class consists of multiple dynamical modes with a switching sequence that determines how the system switches between them over time. Under different…

Systems and Control · Electrical Eng. & Systems 2019-10-08 Zhe Du , Necmiye Ozay , Laura Balzano

We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is based on spatio-temporal clustering of trajectory data. The main…

Dynamical Systems · Mathematics 2015-06-24 Gary Froyland , Kathrin Padberg-Gehle

The problem of quickest change detection (QCD) under transient dynamics is studied, where the change from the initial distribution to the final persistent distribution does not happen instantaneously, but after a series of transient phases.…

Statistics Theory · Mathematics 2018-12-13 Shaofeng Zou , Georgios Fellouris , Venugopal V. Veeravalli

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

Optimization and Control · Mathematics 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

Data clustering is a process of arranging similar data into groups. A clustering algorithm partitions a data set into several groups such that the similarity within a group is better than among groups. In this paper a hybrid clustering…

Databases · Computer Science 2012-05-25 Ravindra Jain

Clustering is a fundamental problem in many areas, which aims to partition a given data set into groups based on some distance measure, such that the data points in the same group are similar while that in different groups are dissimilar.…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Chao Qian

Given their widespread usage in the real world, the fairness of clustering methods has become of major interest. Theoretical results on fair clustering show that fairness enjoys transitivity: given a set of small and fair clusters, a…

Machine Learning · Computer Science 2025-05-13 Mattia Setzu , Riccardo Guidotti

We present two new consensus algorithms for dynamic networks. The first, Fast Raft, is a variation on the Raft consensus algorithm that reduces the number of message rounds in typical operation. Fast Raft is ideal for fast-paced distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-29 Timothy Castiglia , Colin Goldberg , Stacy Patterson

Diffusion probabilistic models have generated high quality image synthesis recently. However, one pain point is the notorious inference to gradually obtain clear images with thousands of steps, which is time consuming compared to other…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Gang Chen

When deploying modern machine learning-enabled robotic systems in high-stakes applications, detecting distribution shift is critical. However, most existing methods for detecting distribution shift are not well-suited to robotics settings,…

This paper provides an overview of recent developments in quickest change detection (QCD) for high-dimensional multi-sensor systems, with an emphasis on settings involving structural constraints and limited sensing resources. Classical QCD…

Statistics Theory · Mathematics 2026-04-21 Topi Halme , Visa Koivunen

We study the following distribution clustering problem: Given a hidden partition of $k$ distributions into two groups, such that the distributions within each group are the same, and the two distributions associated with the two clusters…

Data Structures and Algorithms · Computer Science 2025-12-10 Gunjan Kumar , Yash Pote , Jonathan Scarlett

Enhancing the stability of machine learning algorithms under distributional shifts is at the heart of the Out-of-Distribution (OOD) Generalization problem. Derived from causal learning, recent works of invariant learning pursue strict…

Machine Learning · Computer Science 2024-02-15 Jiashuo Liu , Jiayun Wu , Jie Peng , Xiaoyu Wu , Yang Zheng , Bo Li , Peng Cui

One of the popular measures of central tendency that provides better representation and interesting insights of the data compared to the other measures like mean and median is the metric mode. If the analytical form of the density function…

Machine Learning · Computer Science 2019-06-04 Chandramouli Kamanchi , Raghuram Bharadwaj Diddigi , Prabuchandran K. J. , Shalabh Bhatnagar
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