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math.OC2021
An Inexact Projected Gradient Method with Rounding and Lifting by Nonlinear Programming for Solving Rank-One Semidefinite Relaxation of Polynomial Optimization
Heng Yang, Ling Liang, Luca Carlone +1
We consider solving high-order semidefinite programming (SDP) relaxations of nonconvex polynomial optimization problems (POPs) that often admit degenerate rank-one optimal solution…
math.OC2020
One Ring to Rule Them All: Certifiably Robust Geometric Perception with Outliers
Heng Yang, Luca Carlone
We propose the first general and practical framework to design certifiable algorithms for robust geometric perception in the presence of a large amount of outliers. We investigate…
math.OC2019
A Quaternion-based Certifiably Optimal Solution to the Wahba Problem with Outliers
Heng Yang, Luca Carlone
The Wahba problem, also known as rotation search, seeks to find the best rotation to align two sets of vector observations given putative correspondences, and is a fundamental rout…