research
∙
05/19/2022
The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics
Many high-dimensional statistical inference problems are believed to pos...
share
research
∙
03/10/2022
Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization
We consider the Sherrington-Kirkpatrick model of spin glasses at high-te...
research
∙
11/12/2021
Local algorithms for Maximum Cut and Minimum Bisection on locally treelike regular graphs of large degree
Given a graph G of degree k over n vertices, we consider the problem of ...
research
∙
09/02/2021
An Information-Theoretic View of Stochastic Localization
Given a probability measure μ over ℝ^n, it is often useful to approximat...
research
∙
06/03/2021
Efficient ℤ_2 synchronization on ℤ^d under symmetry-preserving side information
We consider ℤ_2-synchronization on the Euclidean lattice. Every vertex o...
research
∙
10/29/2020
Algorithmic pure states for the negative spherical perceptron
We consider the spherical perceptron with Gaussian disorder. This is the...
research
∙
01/24/2020
Imputation for High-Dimensional Linear Regression
We study high-dimensional regression with missing entries in the covaria...
research
∙
04/08/2019
The Kikuchi Hierarchy and Tensor PCA
For the tensor PCA (principal component analysis) problem, we propose a ...
research
∙
04/05/2019
On the computational tractability of statistical estimation on amenable graphs
We consider the problem of estimating a vector of discrete variables (θ_...
research
∙
06/25/2018
Fundamental limits of detection in the spiked Wigner model
We study the fundamental limits of detecting the presence of an additive...
research
∙
04/04/2018
Tight Query Complexity Lower Bounds for PCA via Finite Sample Deformed Wigner Law
We prove a query complexity lower bound for approximating the top r dime...
research
∙
02/20/2018
Detection limits in the high-dimensional spiked rectangular model
We study the problem of detecting the presence of a single unknown spike...
research
∙
01/05/2018
Estimation in the Spiked Wigner Model: A Short Proof of the Replica Formula
We consider the problem of estimating the rank-one perturbation of a Wig...
research
∙
04/14/2017
On the Gap Between Strict-Saddles and True Convexity: An Omega(log d) Lower Bound for Eigenvector Approximation
We prove a query complexity lower bound on rank-one principal component ...
research
∙
03/02/2016
Asymptotic behavior of ℓ_p-based Laplacian regularization in semi-supervised learning
Given a weighted graph with N vertices, consider a real-valued regressio...
research
∙
11/02/2014