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We consider the problem of hypothesis testing for discrete distributions. In the standard model, where we have sample access to an underlying distribution $p$, extensive research has established optimal bounds for uniformity testing,…

Machine Learning · Computer Science 2024-12-03 Maryam Aliakbarpour , Piotr Indyk , Ronitt Rubinfeld , Sandeep Silwal

In this paper, we study a sequential decision-making problem, called Adaptive Sampling for Discovery (ASD). Starting with a large unlabeled dataset, algorithms for ASD adaptively label the points with the goal to maximize the sum of…

Machine Learning · Statistics 2023-01-04 Ziping Xu , Eunjae Shim , Ambuj Tewari , Paul Zimmerman

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar

In this paper we consider the problem of exact recovery of a fixed sparse vector with the measurement matrices sequentially arriving along with corresponding measurements. We propose an extension of the iterative hard thresholding (IHT)…

Information Theory · Computer Science 2021-03-02 Samrat Mukhopadhyay

We study the problem of scheduling sensors in a resource-constrained linear dynamical system, where the objective is to select a small subset of sensors from a large network to perform the state estimation task. We formulate this problem as…

Systems and Control · Computer Science 2018-04-05 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

This letter studies the problem of minimizing increasing set functions, or equivalently, maximizing decreasing set functions, over the base of a matroid. This setting has received great interest, since it generalizes several applied…

Optimization and Control · Mathematics 2021-03-02 Orcun Karaca , Daniel Tihanyi , Maryam Kamgarpour

We study the problem of selecting a subset of vectors from a large set, to obtain the best signal representation over a family of functions. Although greedy methods have been widely used for tackling this problem and many of those have been…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Ehsan Tohidi , Mario Coutino , David Gesbert

In large-scale hypothesis testing, computing exact $p$-values or $e$-values is often resource-intensive, creating a need for budget-aware inferential methods. We propose a general framework for active hypothesis testing that leverages…

Methodology · Statistics 2026-04-09 Qi Kuang , Bowen Gang , Yin Xia

We consider the Bayesian active learning and experimental design problem, where the goal is to learn the value of some unknown target variable through a sequence of informative, noisy tests. In contrast to prior work, we focus on the…

Machine Learning · Computer Science 2016-07-12 Yuxin Chen , S. Hamed Hassani , Andreas Krause

The priority model was introduced to capture "greedy-like" algorithms. Motivated by the success of advice complexity in the area of online algorithms, the fixed priority model was extended to include advice, and a reduction-based framework…

Data Structures and Algorithms · Computer Science 2022-01-27 Joan Boyar , Kim S. Larsen , Denis Pankratov

Pure exploration (aka active testing) is the fundamental task of sequentially gathering information to answer a query about a stochastic environment. Good algorithms make few mistakes and take few samples. Lower bounds (for multi-armed…

Machine Learning · Statistics 2019-06-26 Rémy Degenne , Wouter M. Koolen , Pierre Ménard

Recent work by Rauhut and Ward developed a notion of weighted sparsity and a corresponding notion of Restricted Isometry Property for the space of weighted sparse signals. Using these notions, we pose a best weighted sparse approximation…

Information Theory · Computer Science 2015-01-08 Jason Jo

We explore the problems of classification of composite object (images, speech signals) with low number of models per class. We study the question of improving recognition performance for medium-sized database (thousands of classes). The key…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Andrey Savchenko

We study the problem of causal structure learning when the experimenter is limited to perform at most $k$ non-adaptive experiments of size $1$. We formulate the problem of finding the best intervention target set as an optimization problem,…

Machine Learning · Computer Science 2018-08-03 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Elias Bareinboim

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

Information Theory · Computer Science 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

Model interpretation, or explanation of a machine learning classifier, aims to extract generalizable knowledge from a trained classifier into a human-understandable format, for various purposes such as model assessment, debugging and trust.…

Machine Learning · Computer Science 2019-10-29 Jialin Lu , Martin Ester

Programming-by-example technologies are being deployed in industrial products for real-time synthesis of various kinds of data transformations. These technologies rely on the user to provide few representative examples of the transformation…

Programming Languages · Computer Science 2020-06-24 Ashish Tiwari , Arjun Radhakrishna , Sumit Gulwani , Daniel Perelman

We describe an extensive study of search in GSAT, an approximation procedure for propositional satisfiability. GSAT performs greedy hill-climbing on the number of satisfied clauses in a truth assignment. Our experiments provide a more…

Artificial Intelligence · Computer Science 2008-02-03 I. P. Gent , T. Walsh

Adaptive data analysis has posed a challenge to science due to its ability to generate false hypotheses on moderately large data sets. In general, with non-adaptive data analyses (where queries to the data are generated without being…

Methodology · Statistics 2018-09-18 Preetum Nakkiran , Jarosław Błasiok

Test set with redundancy is one of the focuses in recent bioinformatics research. Set cover greedy algorithm (SGA for short) is a commonly used algorithm for test set with redundancy. This paper proves that the approximation ratio of SGA…

Data Structures and Algorithms · Computer Science 2007-09-27 Peng Cui