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We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the…

Data Structures and Algorithms · Computer Science 2015-05-18 Jaroslaw Byrka , Aravind Srinivasan , Chaitanya Swamy

The performance of coverage-based fault localization greatly depends on the quality of test cases being executed. These test cases execute some lines of the given program and determine whether the underlying tests are passed or failed. In…

Software Engineering · Computer Science 2020-06-17 Shuvalaxmi Dass , Xiaozhen Xue , Akbar Siami Namin

We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

Information Theory · Computer Science 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

Maximum likelihood estimation is a fundamental optimization problem in statistics. We study this problem on manifolds of matrices with bounded rank. These represent mixtures of distributions of two independent discrete random variables. We…

Algebraic Geometry · Mathematics 2013-03-19 Jonathan Hauenstein , Jose Rodriguez , Bernd Sturmfels

This paper develops an accurate, efficient filter (called the `TT filter') for tracking multiple targets using a spatially-distributed network of amplitude sensors that estimate distance but not direction. Several innovations are included…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Christopher Thron , Khoi Tran , Joseph Raquepas

Particularly in genomics, but also in other fields, it has become commonplace to undertake highly multiple Student's $t$-tests based on relatively small sample sizes. The literature on this topic is continually expanding, but the main…

Statistics Theory · Mathematics 2010-10-11 Peter Hall , Qiying Wang

Learning from Label Proportions (LLP) is a weakly supervised learning method that aims to perform instance classification from training data consisting of pairs of bags containing multiple instances and the class label proportions within…

Machine Learning · Computer Science 2023-02-22 Ryoma Kobayashi , Yusuke Mukuta , Tatsuya Harada

We consider fits to two or more datasets for which results from the sa me experiment share a common systematic uncertainty in addition to their individ ual statistical errors. This is important in extracting the maximum information from a…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Roger John Barlow

Machine learning algorithms have grown in sophistication over the years and are increasingly deployed for real-life applications. However, when using machine learning techniques in practical settings, particularly in high-risk applications…

Machine Learning · Computer Science 2023-10-06 Sukrita Singh , Neeraj Sarna , Yuanyuan Li , Yang Li , Agni Orfanoudaki , Michael Berger

Parameter estimation, statistical tests and confidence sets are the cornerstones of classical statistics that allow scientists to make inferences about the underlying process that generated the observed data. A key question is whether one…

Methodology · Statistics 2020-12-11 Niccolò Dalmasso , Rafael Izbicki , Ann B. Lee

In the uniformity testing task, an algorithm is provided with samples from an unknown probability distribution over a (known) finite domain, and must decide whether it is the uniform distribution, or, alternatively, if its total variation…

Data Structures and Algorithms · Computer Science 2025-08-05 Guy Blanc , Clément L. Canonne , Erik Waingarten

Recently, there has been tremendous progress in developing each individual module of the standard perception-planning robot autonomy pipeline, including detection, tracking, prediction of other agents' trajectories, and ego-agent trajectory…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Xinshuo Weng , Boris Ivanovic , Marco Pavone

We study the problem of linear feature selection when features are highly correlated. Such settings pose two fundamental challenges. First, how should model similarity be defined? Simply counting features in common can be misleading: two…

Methodology · Statistics 2026-03-24 Xiaozhu Zhang , Jacob Bien , Armeen Taeb

The relationship between statistical dependency and causality lies at the heart of all statistical approaches to causal inference. Recent results in the ChaLearn cause-effect pair challenge have shown that causal directionality can be…

Machine Learning · Computer Science 2014-12-22 Gianluca Bontempi , Maxime Flauder

Multi-label text classification (MLTC) is the task of assigning multiple labels to a given text, and has a wide range of application domains. Most existing approaches require an enormous amount of annotated data to learn a classifier and/or…

Computation and Language · Computer Science 2023-09-26 Muberra Ozmen , Joseph Cotnareanu , Mark Coates

Probabilistic finite mixture models are widely used for unsupervised clustering. These models can often be improved by adapting them to the topology of the data. For instance, in order to classify spatially adjacent data points similarly,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Jonathan Vacher , Claire Launay , Ruben Coen-Cagli

With the recent advances in the object detection research field, tracking-by-detection has become the leading paradigm adopted by multi-object tracking algorithms. By extracting different features from detected objects, those algorithms can…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Michel Meneses , Leonardo Matos , Bruno Prado , André de Carvalho , Hendrik Macedo

Multi-object tracking in videos requires to solve a fundamental problem of one-to-one assignment between objects in adjacent frames. Most methods address the problem by first discarding impossible pairs whose feature distances are larger…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yifu Zhang , Chunyu Wang , Xinggang Wang , Wenjun Zeng , Wenyu Liu

Competitive methods for multi-label classification typically invest in learning labels together. To do so in a beneficial way, analysis of label dependence is often seen as a fundamental step, separate and prior to constructing a…

Machine Learning · Statistics 2017-07-19 Jesse Read , Jaakko Hollmén

We address the general task of learning with a set of candidate models that is too large to have a uniform convergence of empirical estimates to true losses. While the common approach to such challenges is SRM (or regularization) based…

Machine Learning · Computer Science 2025-11-14 Alireza F. Pour , Shai Ben-David
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