Ranking and selection for pairwise comparison

H Xiao, Y Zhang, G Kou, S Zhang… - Naval Research …, 2023 - Wiley Online Library
In many real‐world applications, designs can only be evaluated pairwise, relative to each
other. Nevertheless, in the simulation literature, almost all the ranking and selection …

[HTML][HTML] Spectral method and regularized MLE are both optimal for top-K ranking

Y Chen, J Fan, C Ma, K Wang - Annals of statistics, 2019 - ncbi.nlm.nih.gov
This paper is concerned with the problem of top-K ranking from pairwise comparisons. Given
a collection of n items and a few pairwise comparisons across them, one wishes to identify …

Active ranking from pairwise comparisons and when parametric assumptions do not help

R Heckel, NB Shah, K Ramchandran, MJ Wainwright - 2019 - projecteuclid.org
Active ranking from pairwise comparisons and when parametric assumptions do not help Page
1 The Annals of Statistics 2019, Vol. 47, No. 6, 3099–3126 https://doi.org/10.1214/18-AOS1772 …

Double or nothing: Multiplicative incentive mechanisms for crowdsourcing

NB Shah, D Zhou - Journal of Machine Learning Research, 2016 - jmlr.org
Crowdsourcing has gained immense popularity in machine learning applications for
obtaining large amounts of labeled data. Crowdsourcing is cheap and fast, but suffers from …

Partial recovery for top-k ranking: Optimality of MLE and SubOptimality of the spectral method

P Chen, C Gao, AY Zhang - The Annals of Statistics, 2022 - projecteuclid.org
The supplement [5] includes all the technical proofs. In Appendix A, we first give proofs for all
the results established in Section 4: Theorem 4.1, Theorem 4.2 and Theorem 4.3. After that …

Optimal full ranking from pairwise comparisons

P Chen, C Gao, AY Zhang - The Annals of Statistics, 2022 - projecteuclid.org
The supplement [10] includes all the technical proofs. In Appendix A, we first give the proof
of Theorem 3.1. In Appendix B, we give the proof of Theorem 4.1. After that, we prove …

A Nearly Instance Optimal Algorithm for Top-k Ranking under the Multinomial Logit Model

X Chen, Y Li, J Mao - Proceedings of the Twenty-Ninth Annual ACM-SIAM …, 2018 - SIAM
We study the active learning problem of top-k ranking from multi-wise comparisons under
the popular multinomial logit model. Our goal is to identify the top-k items with high …

PAC battling bandits in the plackett-luce model

A Saha, A Gopalan - Algorithmic Learning Theory, 2019 - proceedings.mlr.press
We introduce the probably approximately correct (PAC)\emph {Battling-Bandit} problem with
the Plackett-Luce (PL) subset choice model–an online learning framework where at each …

Faster Convergence with Multiway Preferences

A Saha, V Feldman, Y Mansour… - … Conference on Artificial …, 2024 - proceedings.mlr.press
We address the problem of convex optimization with preference feedback, where the goal is
to minimize a convex function given a weaker form of comparison queries. Each query …

Exploration with limited memory: streaming algorithms for coin tossing, noisy comparisons, and multi-armed bandits

S Assadi, C Wang - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
Consider the following abstract coin tossing problem: Given a set of n coins with unknown
biases, find the most biased coin using a minimal number of coin tosses. This is a common …