Message Passing Least Squares Framework and Its Application to Rotation Synchronization
Abstract
We propose an efficient algorithm for solving group synchronization under high levels of corruption and noise, while we focus on rotation synchronization. We first describe our recent theoretically guaranteed message passing algorithm that estimates the corruption levels of the measured group ratios. We then propose a novel reweighted least squares method to estimate the group elements, where the weights are initialized and iteratively updated using the estimated corruption levels. We demonstrate the superior performance of our algorithm over state-of-the-art methods for rotation synchronization using both synthetic and real data.
Cite
Text
Shi and Lerman. "Message Passing Least Squares Framework and Its Application to Rotation Synchronization." International Conference on Machine Learning, 2020.Markdown
[Shi and Lerman. "Message Passing Least Squares Framework and Its Application to Rotation Synchronization." International Conference on Machine Learning, 2020.](https://mlanthology.org/icml/2020/shi2020icml-message/)BibTeX
@inproceedings{shi2020icml-message,
title = {{Message Passing Least Squares Framework and Its Application to Rotation Synchronization}},
author = {Shi, Yunpeng and Lerman, Gilad},
booktitle = {International Conference on Machine Learning},
year = {2020},
pages = {8796-8806},
volume = {119},
url = {https://mlanthology.org/icml/2020/shi2020icml-message/}
}