平方格拉斯曼的似然几何

Hannah Friedman
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引用次数: 0

摘要

我们研究了投影行列式点过程及其与平方格拉斯曼的联系。我们证明了这一统计模型的对数似然函数有 $(n - 1)!/2$ 个临界点,所有临界点都是实数和正数,从而解决了 Devriendt、Friedman、Reinke 和 Sturmfels 的一个猜想。
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Likelihood Geometry of the Squared Grassmannian
We study projection determinantal point processes and their connection to the squared Grassmannian. We prove that the log-likelihood function of this statistical model has $(n - 1)!/2$ critical points, all of which are real and positive, thereby settling a conjecture of Devriendt, Friedman, Reinke, and Sturmfels.
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