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The large size of nowadays' online multimedia databases makes retrieving their content a difficult and time-consuming task. Users of online sound collections typically submit search queries that express a broad intent, often making the…

Information Retrieval · Computer Science 2020-06-16 Xavier Favory , Frederic Font , Xavier Serra

Source coding is the canonical problem of data compression in information theory. In a locally encodable source coding, each compressed bit depends on only few bits of the input. In this paper, we show that a recently popular model of…

Machine Learning · Statistics 2020-11-10 Arya Mazumdar , Soumyabrata Pal

We extend the single-site coherent potential approximation (CPA) to include the effects of non-local disorder correlations (alloy short-range order) on the electronic structure of random alloy systems. This is achieved by mapping the…

Strongly Correlated Electrons · Physics 2009-11-10 M. S. Laad , L. Craco

This paper gives a k-means approximation algorithm that is efficient in the relational algorithms model. This is an algorithm that operates directly on a relational database without performing a join to convert it to a matrix whose rows…

Data Structures and Algorithms · Computer Science 2021-05-24 Benjamin Moseley , Kirk Pruhs , Alireza Samadian , Yuyan Wang

It is well known that the classical single linkage algorithm usually fails to identify clusters in the presence of outliers. In this paper, we propose a new version of this algorithm, and we study its mathematical performances. In…

Statistics Theory · Mathematics 2022-03-21 Nicolas Klutchnikoff , Audrey Poterie , Laurent Rouviere

Obtaining annotations for complex computer vision tasks such as object detection is an expensive and time-intense endeavor involving a large number of human workers or expert opinions. Reducing the amount of annotations required while…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Marius Schubert , Tobias Riedlinger , Karsten Kahl , Matthias Rottmann

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

We provide a polynomial-time classical algorithm for noisy quantum circuits. The algorithm computes the expectation value of any observable for any circuit, with a small average error over input states drawn from an ensemble (e.g. the…

Quantum Physics · Physics 2024-10-15 Thomas Schuster , Chao Yin , Xun Gao , Norman Y. Yao

In this paper, we formulate a Collaborative Pure Exploration in Kernel Bandit problem (CoPE-KB), which provides a novel model for multi-agent multi-task decision making under limited communication and general reward functions, and is…

Machine Learning · Computer Science 2023-03-17 Yihan Du , Wei Chen , Yuko Kuroki , Longbo Huang

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

This work initiates the study of memory-query tradeoffs for graph problems, with a focus on correlation clustering. Correlation clustering asks for a partition of the vertices that minimizes disagreements: non-edges inside clusters plus…

Computational Complexity · Computer Science 2026-05-25 Sumegha Garg , Songhua He , Periklis A. Papakonstantinou

In this work, we consider multitask learning problems where clusters of nodes are interested in estimating their own parameter vector. Cooperation among clusters is beneficial when the optimal models of adjacent clusters have a good number…

Systems and Control · Computer Science 2016-11-03 Roula Nassif , Cédric Richard , André Ferrari , Ali H. Sayed

We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken. We provide the first efficient algorithm with an optimal…

Machine Learning · Computer Science 2011-06-17 Miroslav Dudik , Daniel Hsu , Satyen Kale , Nikos Karampatziakis , John Langford , Lev Reyzin , Tong Zhang

We propose a new analysis framework for clustering $M$ items into an unknown number of $K$ distinct groups using noisy and actively collected responses. At each time step, an agent is allowed to query pairs of items and observe bandit…

Machine Learning · Computer Science 2026-02-06 Rachel S. Y. Teo , P. N. Karthik , Ramya Korlakai Vinayak , Vincent Y. F. Tan

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

Methodology · Statistics 2026-02-16 Zishi Zhang , Yijie Peng

Correlation Clustering is a fundamental and widely-studied problem in unsupervised learning and data mining. The input is a graph and the goal is to construct a clustering minimizing the number of inter-cluster edges plus the number of…

Data Structures and Algorithms · Computer Science 2025-11-05 Nairen Cao , Vincent Cohen-Addad , Shi Li , Euiwoong Lee , David Rasmussen Lolck , Alantha Newman , Mikkel Thorup , Lukas Vogl , Shuyi Yan , Hanwen Zhang

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

The main promise of quantum computing is to efficiently solve certain problems that are prohibitively expensive for a classical computer. Most problems with a proven quantum advantage involve the repeated use of a black box, or oracle,…

Clustering is a powerful machine learning technique that groups "similar" data points based on their characteristics. Many clustering algorithms work by approximating the minimization of an objective function, namely the sum of…

Quantum Physics · Physics 2018-01-29 Vaibhaw Kumar , Gideon Bass , Casey Tomlin , Joseph Dulny

We consider the basic problem of querying an expert oracle for labeling a dataset in machine learning. This is typically an expensive and time consuming process and therefore, we seek ways to do so efficiently. The conventional approach…

Machine Learning · Computer Science 2021-10-07 Farshad Lahouti , Victoria Kostina , Babak Hassibi