Message Passing Least Squares Framework and Its Applications to Rotation Synchronization

Jul 12, 2020

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We propose an efficient algorithm for solving robust group synchronization given adversarially corrupted group ratios. We first present a theoretically guaranteed message passing algorithm that estimates the corruption levels of the group ratios. We then propose a novel weighted least squares method to estimate the group elements, where the weights are initialized using the estimated corruption levels and are iteratively updated by incorporating cycle consistency information. We demonstrate the superior performance of our algorithm over state-of-the-art methods for SO(3) synchronization using both synthetic and real data.

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The International Conference on Machine Learning (ICML) is the premier gathering of professionals dedicated to the advancement of the branch of artificial intelligence known as machine learning. ICML is globally renowned for presenting and publishing cutting-edge research on all aspects of machine learning used in closely related areas like artificial intelligence, statistics and data science, as well as important application areas such as machine vision, computational biology, speech recognition, and robotics. ICML is one of the fastest growing artificial intelligence conferences in the world. Participants at ICML span a wide range of backgrounds, from academic and industrial researchers, to entrepreneurs and engineers, to graduate students and postdocs.

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