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Given a random variable $O \in \mathbb{R}$ and a set of experts $E$, we describe a method for finding a subset of experts $S \subseteq E$ whose aggregated opinion best predicts the outcome of $O$. Therefore, the problem can be regarded as a…

Data Structures and Algorithms · Computer Science 2015-04-28 MohammadAmin Fazli , Azin Ghazimatin , Jafar Habibi , Hamid Haghshenas

Peer reviews, evaluations, and selections are a fundamental aspect of modern science. Funding bodies the world over employ experts to review and select the best proposals from those submitted for funding. The problem of peer selection,…

Computer Science and Game Theory · Computer Science 2019-05-01 Haris Aziz , Omer Lev , Nicholas Mattei , Jeffrey S. Rosenschein , Toby Walsh

We consider the predictive problem of supervised ranking, where the task is to rank sets of candidate items returned in response to queries. Although there exist statistical procedures that come with guarantees of consistency in this…

Statistics Theory · Mathematics 2013-11-27 John C. Duchi , Lester Mackey , Michael I. Jordan

There is a striking relationship between a three hundred years old Political Science theorem named "Condorcet's jury theorem" (1785), which states that majorities are more likely to choose correctly when individual votes are often correct…

Machine Learning · Computer Science 2020-02-17 Hanan Shteingart , Eran Marom , Igor Itkin , Gil Shabat , Michael Kolomenkin , Moshe Salhov , Liran Katzir

Crowdsourcing is becoming increasingly important in entity resolution tasks due to their inherent complexity such as clustering of images and natural language processing. Humans can provide more insightful information for these difficult…

Databases · Computer Science 2017-08-28 Vijaya Krishna Yalavarthi , Xiangyu Ke , Arijit Khan

The well-known Condorcet's Jury theorem posits that the majority rule selects the best alternative among two available options with probability one, as the population size increases to infinity. We study this result under an asymmetric…

Computer Science and Game Theory · Computer Science 2024-08-02 Ganesh Ghalme , Reshef Meir

Condorcet's Jury Theorem has been invoked for ensemble classifiers to indicate that the combination of many classifiers can have better predictive performance than a single classifier. Such a theoretical underpinning is unknown for…

Machine Learning · Statistics 2016-10-11 Brijnesh J. Jain

We propose a semidefinite programming (SDP) algorithm for community detection in the stochastic block model, a popular model for networks with latent community structure. We prove that our algorithm achieves exact recovery of the latent…

Data Structures and Algorithms · Computer Science 2016-12-05 Amelia Perry , Alexander S. Wein

In many settings, an effective way of evaluating objects of interest is to collect evaluations from dispersed individuals and to aggregate these evaluations together. Some examples are categorizing online content and evaluating student…

Computer Science and Game Theory · Computer Science 2016-06-23 Alice Gao , James R. Wright , Kevin Leyton-Brown

The clustering of data is one of the most important and challenging topics in data science. The minimum sum-of-squares clustering (MSSC) problem asks to cluster the data points into $k$ clusters such that the sum of squared distances…

Optimization and Control · Mathematics 2023-05-23 Lucia Absalom Bautista , Timotej Hrga , Janez Povh , Shudian Zhao

Lu and Boutilier proposed a novel approach based on "minimax regret" to use classical score based voting rules in the setting where preferences can be any partial (instead of complete) orders over the set of alternatives. We show here that…

Multiagent Systems · Computer Science 2017-11-13 Palash Dey

In this paper, we advocate the use of setwise contests for aggregating a set of input rankings into an output ranking. We propose a generalization of the Kemeny rule where one minimizes the number of k-wise disagreements instead of pairwise…

Artificial Intelligence · Computer Science 2022-02-10 Hugo Gilbert , Tom Portoleau , Olivier Spanjaard

Intuitively, an ideal collaborative filtering (CF) model should learn from users' full rankings over all items to make optimal top-K recommendations. Due to the absence of such full rankings in practice, most CF models rely on pairwise loss…

Information Retrieval · Computer Science 2024-12-25 Yuhan Zhao , Rui Chen , Li Chen , Shuang Zhang , Qilong Han , Hongtao Song

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

We study the sparse phase retrieval problem, which seeks to recover a sparse signal from a limited set of magnitude-only measurements. In contrast to prevalent sparse phase retrieval algorithms that primarily use first-order methods, we…

Information Theory · Computer Science 2024-03-20 Jian-Feng Cai , Yu Long , Ruixue Wen , Jiaxi Ying

Crowds can often make better decisions than individuals or small groups of experts by leveraging their ability to aggregate diverse information. Question answering sites, such as Stack Exchange, rely on the "wisdom of crowds" effect to…

Human-Computer Interaction · Computer Science 2017-04-04 Keith Burghardt , Emanuel F. Alsina , Michelle Girvan , William Rand , Kristina Lerman

This paper presents a new annotation method called Sparse Annotation (SA) for crowd counting, which reduces human labeling efforts by sparsely labeling individuals in an image. We argue that sparse labeling can reduce the redundancy of full…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Shiwei Zhang , Zhengzheng Wang , Qing Liu , Fei Wang , Wei Ke , Tong Zhang

Algorithms for resolving majority cycles in preference aggregation have been studied extensively in computational social choice. Several sophisticated cycle-resolving methods, including Tideman's Ranked Pairs, Schulze's Beat Path, and…

Computer Science and Game Theory · Computer Science 2025-12-30 Wesley H. Holliday , Milan Mossé , Chase Norman , Eric Pacuit , Cynthia Wang

We propose a new single-winner election method ("Schulze method") and prove that it satisfies many academic criteria (e.g. monotonicity, reversal symmetry, resolvability, independence of clones, Condorcet criterion, k-consistency,…

Computer Science and Game Theory · Computer Science 2025-10-28 Markus Schulze

Aggregating responses from crowd workers is a fundamental task in the process of crowdsourcing. In cases where a few experts are overwhelmed by a large number of non-experts, most answer aggregation algorithms such as the majority voting…

Social and Information Networks · Computer Science 2021-11-10 Yasushi Kawase , Yuko Kuroki , Atsushi Miyauchi