35 citations · 176 across the 22 of their papers we have counts for
4 papers · 1 filter
Robust and sparse Gaussian graphical modeling under cell-wise contamination
Shota Katayama, Hironori Fujisawa, Mathias Drton
Graphical modeling explores dependences among a collection of variables by inferring a graph that encodes pairwise conditional independences. For jointly Gaussian variables, this t…
Robust and Sparse Regression via -divergence
Takayuki Kawashima, Hironori Fujisawa
In high-dimensional data, many sparse regression methods have been proposed. However, they may not be robust against outliers. Recently, the use of density power weight has been st…
Robust sparse Gaussian graphical modeling
Kei Hirose, Hironori Fujisawa, Jun Sese
Gaussian graphical modeling has been widely used to explore various network structures, such as gene regulatory networks and social networks. We often use a penalized maximum likel…
Approximate tail probabilities of the maximum of a chi-square field on multi-dimensional lattice points and their applications to detection of loci interactions
Satoshi Kuriki, Yoshiaki Harushima, Hironori Fujisawa +1
Define a chi-square random field on a multi-dimensional lattice points index set with a direct-product covariance structure, and consider the distribution of the maximum of this ra…