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  • ?天元讲堂(6.4)Euclidean distance degree and the multiview conjecture
  • 浏览量:122 发布人: 十博体育官网:2019-06-04
  • 天元讲堂(6.4)L.-G.Maxim

    报告题目Euclidean distance degree and the multiview conjecture

    报告人:Prof. Laurentiu-George Maxim (University of Wisconsin, Madison)

    时间201964日(星期二)14:45—15:45

    地点:10bet国际官方网站本部精正楼(数学楼)307

      

    摘要The Euclidean distance degree of an algebraic variety is a well-studied topic in applied algebra and geometry. It has direct applications in geometric modeling, computer vision, and statistics. I will first describe a new topological interpretation of the Euclidean distance degree of an affine variety in terms of weighted Euler characteristics. As a concrete application, I will present a solution to the open problem in computer vision of determining the Euclidean distance degree of the affine multiview variety. Secondly, I will present a solution to a conjecture of Aluffi-Harris concerning the Euclidean distance degree of projective varieties. Projective varieties appear naturally in low rank matrix approximation, formation shape control, and all across algebraic statistics. (Joint work with J. Rodriguez and B. Wang.)

      

    报告人主页 https://www.math.wisc.edu/~maxim/

      

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