research
∙
06/27/2023
Approximate Message Passing for the Matrix Tensor Product Model
We propose and analyze an approximate message passing (AMP) algorithm fo...
share
research
∙
05/12/2023
Achieving Capacity on Non-Binary Channels with Generalized Reed-Muller Codes
Recently, the authors showed that Reed-Muller (RM) codes achieve capacit...
research
∙
06/17/2022
k-Sliced Mutual Information: A Quantitative Study of Scalability with Dimension
Sliced mutual information (SMI) is defined as an average of mutual infor...
research
∙
10/27/2021
Reed-Muller Codes Achieve Capacity on BMS Channels
This paper considers the performance of long Reed-Muller (RM) codes tran...
research
∙
06/22/2021
Rank-one matrix estimation with groupwise heteroskedasticity
We study the problem of estimating a rank-one matrix from Gaussian obser...
research
∙
02/28/2021
Convergence of Gaussian-smoothed optimal transport distance with sub-gamma distributions and dependent samples
The Gaussian-smoothed optimal transport (GOT) framework, recently propos...
research
∙
06/25/2020
The Gaussian equivalence of generative models for learning with two-layer neural networks
Understanding the impact of data structure on learning in neural network...
research
∙
05/22/2020
Information-Theoretic Limits for the Matrix Tensor Product
This paper studies a high-dimensional inference problem involving the ma...
research
∙
05/16/2020
Information-theoretic limits of a multiview low-rank symmetric spiked matrix model
We consider a generalization of an important class of high-dimensional i...
research
∙
01/09/2020
Gaussian Approximation of Quantization Error for Estimation from Compressed Data
We consider the distributional connection between the lossy compressed r...
research
∙
12/30/2019
All-or-Nothing Phenomena: From Single-Letter to High Dimensions
We consider the linear regression problem of estimating a p-dimensional ...
research
∙
12/11/2019
Mutual Information in Community Detection with Covariate Information and Correlated Networks
We study the problem of community detection when there is covariate info...
research
∙
11/05/2019
Gaussian Mixture Models for Stochastic Block Models with Non-Vanishing Noise
Community detection tasks have received a lot of attention across statis...
research
∙
09/15/2019
Approximating posteriors with high-dimensional nuisance parameters via integrated rotated Gaussian approximation
Posterior computation for high-dimensional data with many parameters can...
research
∙
07/04/2019
The Geometry of Community Detection via the MMSE Matrix
The information-theoretic limits of community detection have been studie...
research
∙
07/03/2019
Understanding Phase Transitions via Mutual Information and MMSE
The ability to understand and solve high-dimensional inference problems ...
research
∙
03/12/2019
The All-or-Nothing Phenomenon in Sparse Linear Regression
We study the problem of recovering a hidden binary k-sparse p-dimensiona...
research
∙
10/12/2017
Additivity of Information in Multilayer Networks via Additive Gaussian Noise Transforms
Multilayer (or deep) networks are powerful probabilistic models based on...
research
∙
12/01/2014