no code implementations • 8 Oct 2015 • Yen-Chi Chen, Daren Wang, Alessandro Rinaldo, Larry Wasserman
Persistence diagrams are two-dimensional plots that summarize the topological features of functions and are an important part of topological data analysis.
1 code implementation • 1 Dec 2020 • Daren Wang, Zifeng Zhao, Yi Yu, Rebecca Willett
We derive finite sample theoretical guarantees and show that the excess prediction risk of our estimator is minimax optimal.
Statistics Theory Methodology Statistics Theory
no code implementations • 14 Jan 2021 • Yi Yu, Oscar Hernan Madrid Padilla, Daren Wang, Alessandro Rinaldo
The goal is to detect the change point as quickly as possible, if it exists, subject to a constraint on the number or probability of false alarms.
no code implementations • 30 Aug 2023 • Carlos Misael Madrid Padilla, Oscar Hernan Madrid Padilla, Daren Wang
In such a context, we study the Trend Filtering, a nonparametric estimator introduced by \cite{mammen1997locally} and \cite{rudin1992nonlinear}.
1 code implementation • 22 Jan 2024 • Yuehaw Khoo, Yifan Peng, Daren Wang
In this paper, we introduce a new framework called Variance-Reduced Sketching (VRS), specifically designed to estimate density functions and nonparametric regression functions in higher dimensions with a reduced curse of dimensionality.