论文标题
对数线性模型中最大似然估计的曲折不变理论
Toric invariant theory for maximum likelihood estimation in log-linear models
论文作者
论文摘要
我们在离散统计模型的不变理论与最大似然估计之间建立了联系。我们表明，在圆环轨道上的规范最小化等效于对数线性模型中的最大似然估计。我们在圆环动作下使用稳定性的概念来表征最大似然估计的存在，并讨论与缩放算法的连接。
We establish connections between invariant theory and maximum likelihood estimation for discrete statistical models. We show that norm minimization over a torus orbit is equivalent to maximum likelihood estimation in log-linear models. We use notions of stability under a torus action to characterize the existence of the maximum likelihood estimate, and discuss connections to scaling algorithms.
