Year: 2022
Type: preprint
Abstract: Motivated by crowd-sourcing applications, we consider a model where we have partial observations from a bivariate isotonic n x d matrix with an unknown permutation $π$ * acting on its rows. Focusing on the twin problems of recovering the permutation $π$ * and estimating the unknown matrix, we introduce a polynomial-time procedure achieving the minimax risk for these two problems, this for all possible values of n, d, and all possible sampling efforts. Along the way, we establish that, in some regimes, recovering the unknown permutation $π$ * is considerably simpler than estimating the matrix.
Source: arXiv (Cornell University)
Language: English
Subfield: Computer Science Applications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4308670488