63 citations · 78 across the 8 of their papers we have counts for
10 papers
AssayBench: An Assay-Level Virtual Cell Benchmark for LLMs and Agents
Edward De Brouwer, Carl Edwards, Alexander Wu +9
Recent advances in machine learning and large-scale biological data collections have revived the prospect of building a virtual cell, a computational model of cellular behavior tha…
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…
NODAGS-Flow: Nonlinear Cyclic Causal Structure Learning
Muralikrishnna G. Sethuraman, Romain Lopez, Rahul Mohan +3
Learning causal relationships between variables is a well-studied problem in statistics, with many important applications in science. However, modeling real-world systems remain ch…
Large-Scale Differentiable Causal Discovery of Factor Graphs
Romain Lopez, Jan-Christian Hütter, Jonathan K. Pritchard +1
A common theme in causal inference is learning causal relationships between observed variables, also known as causal discovery. This is usually a daunting task, given the large num…
Maximum Likelihood Estimation for Brownian Motion Tree Models Based on One Sample
Michael Truell, Jan-Christian Hütter, Chandler Squires +2
We study the problem of maximum likelihood estimation given one data sample () over Brownian Motion Tree Models (BMTMs), a class of Gaussian models on trees. BMTMs are often u…
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…
Minimizers and Gradient Flows of Attraction-Repulsion Functionals with Power Kernels and Their Total Variation Regularization
Jan-Christian Hütter
We study properties of an attractive-repulsive energy functional based on power-kernels, which can be used for halftoning of images. In the first part of this work, using a variati…