8 citations
4 papers
The tube method for the moment index in projection pursuit
Satoshi Kuriki, Akimichi Takemura
The projection pursuit index defined by a sum of squares of the third and the fourth sample cumulants is known as the moment index proposed by Jones and Sibson. Limiting distributi…
Bayesian shrinkage prediction for the regression problem
Kei Kobayashi, Fumiyasu Komaki
We consider Bayesian shrinkage predictions for the Normal regression problem under the frequentist Kullback-Leibler risk function. Firstly, we consider the multivariate Normal mode…
Goodness of fit test for ergodic diffusion processes
Ilia Negri, Yoichi Nishiyama
A goodness of fit test for the drift coefficient of an ergodic diffusion process is presented. The test is based on the score marked empirical process. The weak convergence of the…
Multiresolution Kernels
Marco Cuturi, Kenji Fukumizu
We present in this work a new methodology to design kernels on data which is structured with smaller components, such as text, images or sequences. This methodology is a template p…