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math.AG2023
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications
Yifan Zhang, Joe Kileel
Covering numbers are a powerful tool used in the development of approximation algorithms, randomized dimension reduction methods, smoothed complexity analysis, and others. In this…
cs.CV2023
Condition numbers in multiview geometry, instability in relative pose estimation, and RANSAC
Hongyi Fan, Joe Kileel, Benjamin Kimia
In this paper, we introduce a general framework for analyzing the numerical conditioning of minimal problems in multiple view geometry, using tools from computational algebra and R…