3 papers
math.CO2021
Periodicity of quantum walks defined by mixed paths and mixed cycles
Sho Kubota, Hiroto Sekido, Harunobu Yata
In this paper, we determine periodicity of quantum walks defined by mixed paths and mixed cycles. By the spectral mapping theorem of quantum walks, consideration of periodicity is…
math.ST2013
An Approximate Approach to E-optimal Designs for Weighted Polynomial Regression by Using Tchebycheff Systems and Orthogonal Polynomials
Takuma Takeuchi, Hiroto Sekido
In statistics, experimental designs are methods for making efficient experiments. E-optimal designs are the multisets of experimental conditions which minimize the maximum axis of…
stat.ME2012
An algorithm for calculating D-optimal designs for polynomial regression with prior information and its appilications
Hiroto Sekido
Optimal designs are required to make efficient statistical experiments. D-optimal designs for some models are calculated by using canonical moments. On the other hand, integrable s…