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In this note, we investigate how well we can reconstruct the best rank-$r$ approximation of a large matrix from a small number of its entries. We show that even if a data matrix is of full rank and cannot be approximated well by a low-rank…

Methodology · Statistics 2021-11-12 Shun Xu , Ming Yuan

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

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

The task of expert finding has been getting increasing attention in information retrieval literature. However, the current state-of-the-art is still lacking in principled approaches for combining different sources of evidence. This paper…

Information Retrieval · Computer Science 2020-10-28 Catarina Moreira , Bruno Martins , Pável Calado

In the construction of low-rank matrix approximation and maximum element search it is effective to use maxvol algorithm. Nevertheless, even in the case of rank 1 approximation the algorithm does not always converge to the maximum matrix…

Numerical Analysis · Mathematics 2023-09-04 Alexander Osinsky

Given pairwise comparisons between multiple items, how to rank them so that the ranking matches the observations? This problem, known as rank aggregation, has found many applications in sports, recommendation systems, and other web…

Machine Learning · Statistics 2023-09-12 Ziliang Samuel Zhong , Shuyang Ling

The Kemeny method is one of the popular tools for rank aggregation. However, computing an optimal Kemeny ranking is NP-hard. Consequently, the computational task of finding a Kemeny ranking has been studied under the lens of parameterized…

Data Structures and Algorithms · Computer Science 2023-09-08 Koustav De , Harshil Mittal , Palash Dey , Neeldhara Misra

In statistical decision theory, a model is said to be Pareto optimal (or admissible) if no other model carries less risk for at least one state of nature while presenting no more risk for others. How can you rationally aggregate/combine a…

Theoretical Economics · Economics 2021-12-13 Hamed Hamze Bajgiran , Houman Owhadi

In social choice theory, (Kemeny) rank aggregation is a well-studied problem where the goal is to combine rankings from multiple voters into a single ranking on the same set of items. Since rankings can reveal preferences of voters (which a…

Data Structures and Algorithms · Computer Science 2021-12-30 Daniel Alabi , Badih Ghazi , Ravi Kumar , Pasin Manurangsi

At the present time, sequential item recommendation models are compared by calculating metrics on a small item subset (target set) to speed up computation. The target set contains the relevant item and a set of negative items that are…

Information Retrieval · Computer Science 2021-07-29 Alexander Dallmann , Daniel Zoller , Andreas Hotho

One of the simplest metalearning methods is the average ranking method. This method uses metadata in the form of test results of a given set of algorithms on given set of datasets and calculates an average rank for each algorithm. The ranks…

Artificial Intelligence · Computer Science 2016-10-03 Salisu Mamman Abdulrahman , Pavel Brazdil

This paper presents a graph bundling algorithm that agglomerates edges taking into account both spatial proximity as well as user-defined criteria in order to reveal patterns that were not perceivable with previous bundling techniques. Each…

Graphics · Computer Science 2015-04-13 Daniel C. Moura

A sequential design problem for rank aggregation is commonly encountered in psychology, politics, marketing, sports, etc. In this problem, a decision maker is responsible for ranking $K$ items by sequentially collecting pairwise noisy…

Methodology · Statistics 2017-10-18 Xi Chen , Yunxiao Chen , Xiaoou Li

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Human annotations are vital to supervised learning, yet annotators often disagree on the correct label, especially as annotation tasks increase in complexity. A strategy to improve label quality is to ask multiple annotators to label the…

Machine Learning · Computer Science 2023-12-22 Alexander Braylan , Madalyn Marabella , Omar Alonso , Matthew Lease

Proportional ranking rules aggregate approval-style preferences of agents into a collective ranking such that groups of agents with similar preferences are adequately represented. Motivated by the application of live Q&A platforms, where…

Computer Science and Game Theory · Computer Science 2021-05-18 Jonas Israel , Markus Brill

Merging $T$ sorted, non-redundant lists containing $M$ elements into a single sorted, non-redundant result of size $N \ge M/T$ is a classic problem typically solved practically in $O(M \log T)$ time with a priority-queue data structure the…

Data Structures and Algorithms · Computer Science 2022-08-22 Gene Myers

Projection and ranking are frequently used analysis techniques in multi-attribute data exploration. Both families of techniques help analysts with tasks such as identifying similarities between observations and determining ordered…

Databases · Computer Science 2022-08-03 Qiangqiang Liu , Yukun Ren , Zhihua Zhu , Dai Li , Xiaojuan Ma , Quan Li

Value-based argumentation enhances a classical abstract argumentation graph - in which arguments are modelled as nodes connected by directed arrows called attacks - with labels on arguments, called values, and an ordering on values, called…

Multiagent Systems · Computer Science 2019-07-23 Grzegorz Lisowski , Sylvie Doutre , Umberto Grandi

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