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Given $n$ elements, an integer $k$ and a parameter $\varepsilon$, we study to select an element with rank in $(k-n\varepsilon,k+n\varepsilon]$ using unreliable comparisons where the outcome of each comparison is incorrect independently with…

Data Structures and Algorithms · Computer Science 2022-05-04 Shengyu Huang , Chih-Hung Liu , Daniel Rutschman

Several methods of preference modeling, ranking, voting and multi-criteria decision making include pairwise comparisons. It is usually simpler to compare two objects at a time, furthermore, some relations (e.g., the outcome of sports…

Optimization and Control · Mathematics 2025-09-04 László Gyarmati , Éva Orbán-Mihálykó , Csaba Mihálykó , Sándor Bozóki , Zsombor Szádoczki

We consider the problem of recovering the rank of a set of $n$ items based on noisy pairwise comparisons. We assume the SST class as the family of generative models. Our analysis gave sharp information theoretic upper and lower bound for…

Machine Learning · Statistics 2021-11-22 Yihan He

This version is ***superseded*** by a full version that can be found at http://www.itu.dk/people/pagh/papers/mining-jour.pdf, which contains stronger theoretical results and fixes a mistake in the reporting of experiments. Abstract:…

Data Structures and Algorithms · Computer Science 2010-02-17 Andrea Campagna , Rasmus Pagh

We consider the problem of identifying the defectives from a population of items via a non-adaptive group testing framework with a random pooling-matrix design. We analyze the sufficient number of tests needed for approximate set…

Information Theory · Computer Science 2024-12-03 Sameera Bharadwaja H. , Chandra R. Murthy

We give a general unified method that can be used for $L_1$ {\em closeness testing} of a wide range of univariate structured distribution families. More specifically, we design a sample optimal and computationally efficient algorithm for…

Data Structures and Algorithms · Computer Science 2015-08-25 Ilias Diakonikolas , Daniel M. Kane , Vladimir Nikishkin

Most recommender systems recommend a list of items. The user examines the list, from the first item to the last, and often chooses the first attractive item and does not examine the rest. This type of user behavior can be modeled by the…

Machine Learning · Computer Science 2016-07-01 Shi Zong , Hao Ni , Kenny Sung , Nan Rosemary Ke , Zheng Wen , Branislav Kveton

Ranking and selection (R&S) aims to select the best alternative with the largest mean performance from a finite set of alternatives. Recently, considerable attention has turned towards the large-scale R&S problem which involves a large…

Methodology · Statistics 2025-09-09 Zaile Li , Weiwei Fan , L. Jeff Hong

We present an item-based approach for collaborative filtering. We determine a list of recommended items for a user by considering their previous purchases. Additionally other features of the users could be considered such as page views,…

Information Retrieval · Computer Science 2011-01-18 Fabrizio Caruso , Giovanni Giuffrida , Calogero Zarba

We consider the problem of learning the optimal action-value function in the discounted-reward Markov decision processes (MDPs). We prove a new PAC bound on the sample-complexity of model-based value iteration algorithm in the presence of…

Machine Learning · Computer Science 2012-07-03 Mohammad Gheshlaghi Azar , Remi Munos , Bert Kappen

The SHAP framework provides a principled method to explain the predictions of a model by computing feature importance. Motivated by applications in finance, we introduce the Top-k Identification Problem (TkIP), where the objective is to…

Machine Learning · Computer Science 2023-07-12 Sanjay Kariyappa , Leonidas Tsepenekas , Freddy Lécué , Daniele Magazzeni

Conducting pairwise comparisons is a widely used approach in curating human perceptual preference data. Typically raters are instructed to make their choices according to a specific set of rules that address certain dimensions of image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Hossein Talebi , Ehsan Amid , Peyman Milanfar , Manfred K. Warmuth

The challenge of balancing user relevance and content diversity in recommender systems is increasingly critical amid growing concerns about content homogeneity and reduced user engagement. In this work, we propose a novel framework that…

Information Retrieval · Computer Science 2025-06-30 Hiba Bederina , Jill-Jênn Vie

We consider the problem of ranking a set of items from pairwise comparisons in the presence of features associated with the items. Recent works have established that $O(n\log(n))$ samples are needed to rank well when there is no feature…

Machine Learning · Computer Science 2021-02-10 Aadirupa Saha , Arun Rajkumar

Motivated by applications in recommender systems, web search, social choice and crowdsourcing, we consider the problem of identifying the set of top $K$ items from noisy pairwise comparisons. In our setting, we are non-actively given $r$…

Data Structures and Algorithms · Computer Science 2016-05-13 Xi Chen , Sivakanth Gopi , Jieming Mao , Jon Schneider

We consider active learning for binary classification in the agnostic pool-based setting. The vast majority of works in active learning in the agnostic setting are inspired by the CAL algorithm where each query is uniformly sampled from the…

Machine Learning · Computer Science 2021-05-17 Julian Katz-Samuels , Jifan Zhang , Lalit Jain , Kevin Jamieson

We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Although a concept class may be learnt more efficiently using quantum samples as compared with classical samples in certain scenarios, Arunachalam and de Wolf (JMLR, 2018) proved that quantum learners are asymptotically no more efficient…

Quantum Physics · Physics 2024-02-29 Shima Bab Hadiashar , Ashwin Nayak , Pulkit Sinha

$ \newcommand{\eps}{\varepsilon} $In learning theory, the VC dimension of a concept class $C$ is the most common way to measure its "richness." In the PAC model $$ \Theta\Big(\frac{d}{\eps} + \frac{\log(1/\delta)}{\eps}\Big) $$ examples are…

Quantum Physics · Physics 2017-06-08 Srinivasan Arunachalam , Ronald de Wolf

Fairness in ranking models is crucial, as disparities in exposure can disproportionately affect protected groups. Most fairness-aware ranking systems focus on ensuring comparable average exposure for groups across the entire ranked list,…

Machine Learning · Computer Science 2025-09-23 Boyang Zhang , Quanqi Hu , Mingxuan Sun , Qihang Lin , Tianbao Yang