63 citations · 78 across the 8 of their papers we have counts for
5 papers · 1 filter
High-Dimensional Statistics
Philippe Rigollet, Jan-Christian Hütter
These lecture notes were written for the course 18.657, High Dimensional Statistics at MIT. They build on a set of notes that was prepared at Princeton University in 2013-14 that w…
Positivity in Linear Gaussian Structural Equation Models
Asad Lodhia, Jan-Christian Hütter, Caroline Uhler +1
We study a notion of positivity of Gaussian directed acyclic graphical models corresponding to a non-negativity constraint on the coefficients of the associated structural equation…
Optimal Rates for Estimation of Two-Dimensional Totally Positive Distributions
Jan-Christian Hütter, Cheng Mao, Philippe Rigollet +1
We study minimax estimation of two-dimensional totally positive distributions. Such distributions pertain to pairs of strongly positively dependent random variables and appear freq…
Minimax estimation of smooth optimal transport maps
Jan-Christian Hütter, Philippe Rigollet
Brenier's theorem is a cornerstone of optimal transport that guarantees the existence of an optimal transport map between two probability distributions and over $\mathb…
Optimal rates for total variation denoising
Jan-Christian Hütter, Philippe Rigollet
Motivated by its practical success, we show that the two-dimensional total variation denoiser satisfies a sharp oracle inequality that leads to near optimal rates of estimation for…