The Peterson comparison formula proved by Woodward relates the three-pointed Gromov-Witten invariants for quantum cohomology of partial flag varieties to those complete flag. Another such can be obtained composing a combinatorial version isomorphism with result Lapointe and Morse relating Littlewood-Richardson coefficients Grassmannian k-Schur analogs in homology affine adding rim hooks. We sho...

This paper reports the robustness of the PrenticeWilliams-Peterson-gap time (PWP-GT) model, for right-censored failure data. The results are beneficial to practitioners in anticipating the more favorable application domains for using the PWP-GT model. At sample size of 60, PWP-GT proves to perform well when 80% of the units have some censoring.

Peterson varieties are a special class of Hessenberg varieties that have been extensively studied e.g. by Peterson, Kostant, and Rietsch, in connection with the quantum cohomology of the flag variety. In this manuscript, we develop a generalized Schubert calculus, and in particular a positive Chevalley-Monk formula, for the ordinary and Borel-equivariant cohomology of the Peterson variety Y in ...

A Peterson variety is a subvariety of the flag variety G/B defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows. Each Peterson variety has a one-dimensional torus S acting on it. We give a basis of Peterson Schubert classes for H∗ S1(Pet) and identify the ring generators. In ...

This paper regards the query keywords selection problem in source retrieval as learning a ranking model to choose the method of keywords extraction over suspicious document segments. Four basic methods are used in our ranking function: BM25, TFIDF, TF and EW. Then, a ranking model based on Ranking SVM is proposed to rank the query keywords group which is contributed to get the higher evaluation...