Timezone: »
Poster
Maxing and Ranking with Few Assumptions
Moein Falahatgar · Yi Hao · Alon Orlitsky · Venkatadheeraj Pichapati · Vaishakh Ravindrakumar
PAC maximum selection (maxing) and ranking of $n$ elements via random pairwise comparisons have diverse applications and have been studied under many models and assumptions. With just one simple natural assumption: strong stochastic transitivity, we show that maxing can be performed with linearly many comparisons yet ranking requires quadratically many. With no assumptions at all, we show that for the Borda-score metric, maximum selection can be performed with linearly many comparisons and ranking can be performed with $\mathcal{O}(n\log n)$ comparisons.
Author Information
Moein Falahatgar (UCSD)
Yi Hao (UCSD)
Alon Orlitsky (University of California, San Diego)
Venkatadheeraj Pichapati (UC San Diego)
Vaishakh Ravindrakumar (UC San Diego)
More from the Same Authors
-
2020 Poster: Linear-Sample Learning of Low-Rank Distributions »
Ayush Jain · Alon Orlitsky -
2020 Poster: A General Method for Robust Learning from Batches »
Ayush Jain · Alon Orlitsky -
2020 Poster: SURF: A Simple, Universal, Robust, Fast Distribution Learning Algorithm »
Yi Hao · Ayush Jain · Alon Orlitsky · Vaishakh Ravindrakumar -
2020 Poster: Profile Entropy: A Fundamental Measure for the Learnability and Compressibility of Distributions »
Yi Hao · Alon Orlitsky -
2019 Poster: Unified Sample-Optimal Property Estimation in Near-Linear Time »
Yi Hao · Alon Orlitsky -
2019 Poster: The Broad Optimality of Profile Maximum Likelihood »
Yi Hao · Alon Orlitsky -
2019 Spotlight: The Broad Optimality of Profile Maximum Likelihood »
Yi Hao · Alon Orlitsky -
2018 Poster: On Learning Markov Chains »
Yi Hao · Alon Orlitsky · Venkatadheeraj Pichapati -
2018 Poster: Data Amplification: A Unified and Competitive Approach to Property Estimation »
Yi Hao · Alon Orlitsky · Ananda Theertha Suresh · Yihong Wu -
2017 Poster: The power of absolute discounting: all-dimensional distribution estimation »
Moein Falahatgar · Mesrob Ohannessian · Alon Orlitsky · Venkatadheeraj Pichapati -
2016 Poster: Near-Optimal Smoothing of Structured Conditional Probability Matrices »
Moein Falahatgar · Mesrob Ohannessian · Alon Orlitsky -
2015 Poster: Competitive Distribution Estimation: Why is Good-Turing Good »
Alon Orlitsky · Ananda Theertha Suresh -
2015 Oral: Competitive Distribution Estimation: Why is Good-Turing Good »
Alon Orlitsky · Ananda Theertha Suresh -
2014 Poster: Near-Optimal-Sample Estimators for Spherical Gaussian Mixtures »
Ananda Theertha Suresh · Alon Orlitsky · Jayadev Acharya · Ashkan Jafarpour -
2012 Poster: Tight Bounds on Redundancy and Distinguishability of Label-Invariant Distributions »
Jayadev Acharya · Hirakendu Das · Alon Orlitsky