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09/15/2023
Bayes-Optimal Estimation in Generalized Linear Models via Spatial Coupling
We consider the problem of signal estimation in a generalized linear mod...
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08/28/2023
Spectral Estimators for Structured Generalized Linear Models via Approximate Message Passing
We consider the problem of parameter estimation from observations given ...
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04/05/2023
Mixed Regression via Approximate Message Passing
We study the problem of regression in a generalized linear model (GLM) w...
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03/03/2023
Statistical-Computational Tradeoffs in Mixed Sparse Linear Regression
We consider the problem of mixed sparse linear regression with two compo...
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11/21/2022
Precise Asymptotics for Spectral Methods in Mixed Generalized Linear Models
In a mixed generalized linear model, the objective is to learn multiple ...
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05/12/2022
Sketching sparse low-rank matrices with near-optimal sample- and time-complexity
We consider the problem of recovering an n_1 × n_2 low-rank matrix with ...
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12/08/2021
Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing
We consider the problem of signal estimation in generalized linear model...
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06/04/2021
PCA Initialization for Approximate Message Passing in Rotationally Invariant Models
We study the problem of estimating a rank-1 signal in the presence of ro...
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05/05/2021
A unifying tutorial on Approximate Message Passing
Over the last decade or so, Approximate Message Passing (AMP) algorithms...
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02/09/2021
Near-Optimal Coding for Massive Multiple Access
We study the Gaussian multiple access channel (MAC) in the asymptotic re...
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10/07/2020
Approximate Message Passing with Spectral Initialization for Generalized Linear Models
We consider the problem of estimating a signal from measurements obtaine...
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08/07/2020
Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models
We study the problem of recovering an unknown signal x given measurement...
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04/20/2020
Modulated Sparse Superposition Codes for the Complex AWGN Channel
This paper studies a generalization of sparse superposition codes (SPARC...
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02/18/2020
Capacity-achieving Spatially Coupled Sparse Superposition Codes with AMP Decoding
Sparse superposition codes (SPARCs) are a class of codes for efficient c...
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11/02/2019
Sparse Regression Codes
Developing computationally-efficient codes that approach the Shannon-the...
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05/20/2019
Coding for Deletion Channels with Multiple Traces
Motivated by the sequence reconstruction problem from traces in DNA-base...
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01/29/2019
Boolean Functions with Biased Inputs: Approximation and Noise Sensitivity
This paper considers the problem of approximating a Boolean function f u...
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01/05/2018
Spatially Coupled Sparse Regression Codes: Design and State Evolution Analysis
We consider the design and analysis of spatially coupled sparse regressi...
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12/19/2017
The Error Probability of Sparse Superposition Codes with Approximate Message Passing Decoding
Sparse superposition codes, or sparse regression codes (SPARCs), are a r...
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11/06/2017
Estimation of Low-Rank Matrices via Approximate Message Passing
Consider the problem of estimating a low-rank symmetric matrix when its ...
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07/28/2017
Empirical Bayes Estimators for High-Dimensional Sparse Vectors
The problem of estimating a high-dimensional sparse vector θ∈R^n from an...
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06/14/2017
Strong converse bounds for high-dimensional estimation
In statistical inference problems, we wish to obtain lower bounds on the...
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06/06/2016
Finite Sample Analysis of Approximate Message Passing Algorithms
Approximate message passing (AMP) refers to a class of efficient algorit...
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02/01/2016
Cluster-Seeking James-Stein Estimators
This paper considers the problem of estimating a high-dimensional vector...
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01/23/2015
Capacity-achieving Sparse Superposition Codes via Approximate Message Passing Decoding
Sparse superposition codes were recently introduced by Barron and Joseph...
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12/07/2012
Lossy Compression via Sparse Linear Regression: Computationally Efficient Encoding and Decoding
We propose computationally efficient encoders and decoders for lossy com...
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02/03/2012