2016/08 Hall, P., Müller, H. G., & Wang, J. L. (2006). Properties of principal component methods for functional and longitudinal data analysis. The annals of statistics, 1493-1517. 今泉
関数データ解析と経時データ解析に対する主成分解析
2016/10 Castillo and Nickl, On the Bernstein–von Mises phenomenon for nonparametric Bayes procedures, 2014 矢野
2016/11 T.L. Lai, Boundary Crossing Problems for Sample Means (1988). 本多
境界通過確率の解析
2017/03 Stephanie van der Pas, Peter Grunwald "Almost the Best of Three Worlds: Risk, Consistency and Optional Stopping for the Switch Criterion in Nested Model Selection" (2016). 小宮山
ネストされたモデル選択における一致性と収束レートのトレードオフ
2017/06 J. A. Hartigan and P. M. Hartigan "The Dip Test of Unimodality". 松田
単峰性のテスト
2017/07 Drton, M. and Plummer, M. A Bayesian information criterion for singular models (2017).南
2017/08 T. Tony Cai and Mark G. Low (2011). Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. 福地
非スムースなあるクラス関数の推定のロスの最適レート
2017/10 Hoffmann, M., Rousseau, J., & Schmidt-Hieber, J. (2015). On adaptive posterior concentration rates. The Annals of Statistics, 43(5), 2259-2295. 今泉
事後分布の集中度の下界の導出
2017/12 Victor Chernozhukov, Denis Chetverikov, and Kengo Kato (2017). Central limit theorems and bootstrap in high dimensions. Ann. Probab Volume 45, Number 4 (2017), 2309-2352. 矢野.
p>>nでのCLT
2018/04 William Fithian, Dennis Sun, Jonathan Taylor (v4, 2017). Optimal Inference After Model Selection. arXiv preprint. 小宮山.
2018/08 A. Dieuleveut and F. Bach. NONPARAMETRIC STOCHASTIC APPROXIMATION WITH LARGE STEP-SIZES (2016). The annals of Statistics. 二反田.
Kernel least square (ERM, SGD)の収束レートを固有値の分布パラメータでバウンド
2018/11 Eddie Aamari and Clément Levrard (2018). Non-Asymptotic Rates for Manifold, Tangent Space, and Curvature Estimation, to appear in Ann. Stats. 今泉
多様体近似のnon-asymptotics
2019/03 François Monard, Richard Nickl, Gabriel P. Paternain (2019). Efficient Nonparametric Bayesian Inference For X-Ray Transforms. Ann. Stats. (2019). 園田
リーマン多様体上でのノンパラメトリック関数推定の最適性
2019/06 Gábor Lugosi and Shahar Mendelson. Sub-Gaussian estimators of the mean of a random vector (2019). 大野.
高次モーメントに対する条件の緩い heavy-tail分布の集中不等式.
2019/07 Vladimir Koltchinski. Local Rademacher Complexities and Oracle Inequalities in Risk Minimization. Ann. Stats (2006). 南.
Local Rademacher complexitiesを抑えるpeeling argumentと分類問題の最適レート.
2020/6 John Duchi et al. Multiclass Classification, Information, Divergence, and Surrogate Risk (2018). 包