no code implementations • 24 Apr 2023 • Takeyuki Sasai
However, these methods require stronger conditions than those used for Gaussian random vectors to derive the error bounds.
no code implementations • 24 Aug 2022 • Takeyuki Sasai, Hironori Fujisawa
We consider outlier-robust and sparse estimation of linear regression coefficients, when the covariates and the noises are contaminated by adversarial outliers and noises are sampled from a heavy-tailed distribution.
no code implementations • 15 Jun 2022 • Takeyuki Sasai
Robust and sparse estimation of linear regression coefficients is investigated.
no code implementations • 22 Feb 2021 • Takeyuki Sasai, Hironori Fujisawa
We consider a robust estimation of linear regression coefficients.
no code implementations • 25 Oct 2020 • Takeyuki Sasai, Hironori Fujisawa
We deal with matrix compressed sensing, including lasso as a partial problem, and matrix completion, and then we obtain sharp estimation error bounds.
no code implementations • 13 Apr 2020 • Takeyuki Sasai, Hironori Fujisawa
Nguyen and Tran (2012) proposed an extended Lasso for robust parameter estimation and then they showed the convergence rate of the estimation error.