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math.NT2022
Fractional dimension related to badly approximable matrices associated with higher successive minima
Hao Xing
In this article we introduce the notion of badly approximable matrices of higher order using higher sucessive minima in . We prove that for order less than , they h…
math.NT2022
Some measure-theoretical and dynamical properties of successive minima on the space of unimodular lattices
Hao Xing
In this article, we study the relation between lattice basis and successive minima and give an estimate for the measure-theoretical distribution of successive minima. As consequenc…
cs.CV2022★ 9 cited
Joint Prediction of Monocular Depth and Structure using Planar and Parallax Geometry
Hao Xing, Yifan Cao, Maximilian Biber +2
Supervised learning depth estimation methods can achieve good performance when trained on high-quality ground-truth, like LiDAR data. However, LiDAR can only generate sparse 3D map…