论文标题
对角线线性浓度模型的相互最大似然度
Reciprocal maximum likelihood degrees of diagonal linear concentration models
论文作者
论文摘要
我们表明，对角线线性浓度模型$ \ Mathcal l \ subseteq \ Mathbb {C}^n $等于$（-2）^rχ_m（\ textStyLele \ frac \ frac {$ frac {$ n of termiate）与$ \ Mathcal l $相关的Matroid $ m $。特别是，这为一般对角线线性浓度模型建立了RMLD的多项式性，积极回答了Sturmfels，Timme和Zwiernik的问题。
We show that the reciprocal maximal likelihood degree (rmld) of a diagonal linear concentration model $\mathcal L \subseteq \mathbb{C}^n$ of dimension $r$ is equal to $(-2)^rχ_M( \textstyle\frac{1}{2})$, where $χ_M$ is the characteristic polynomial of the matroid $M$ associated to $\mathcal L$. In particular, this establishes the polynomiality of the rmld for general diagonal linear concentration models, positively answering a question of Sturmfels, Timme, and Zwiernik.
