Abstract Odaka proposed a conjecture predicting that the degrees of CM line bundles for families with fixed general fibers are strictly minimized if the special fibers are K-stable. This conjecture is called CM minimization and a quantitative strengthening of the conjecture of separatedness of moduli spaces of K-stable varieties (K-moduli). This conjecture was already shown for K-ample (Wang-Xu...
课程描述 DescriptionContent: Research results of the Instructor.Topics include : MLE's Bias Pathology, model updated MLE and Wallace's MM method. Artificially augmented samples, shrinkage and MSE reduction.Elegant Nonparametric Estimation of a density and Matching Estimation with convergence rates via Minimum Distance Methods. Tukey's Poly-efficiency. More topics if time permits.预备知识 Prereq...