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09/16/2023
Solving Quadratic Systems with Full-Rank Matrices Using Sparse or Generative Priors
The problem of recovering a signal x∈ℝ^n from a quadratic system {y_i=x^...
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08/30/2023
A Parameter-Free Two-Bit Covariance Estimator with Improved Operator Norm Error Rate
A covariance matrix estimator using two bits per entry was recently deve...
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02/22/2023
Quantized Low-Rank Multivariate Regression with Random Dithering
Low-rank multivariate regression (LRMR) is an important statistical lear...
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12/30/2022
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery
This paper studies the quantization of heavy-tailed data in some fundame...
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09/26/2022
Uniform Exact Reconstruction of Sparse Signals and Low-rank Matrices from Phase-Only Measurements
The reconstruction of low-complexity, particularly sparse signal from ph...
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05/27/2022
Error Bound of Empirical ℓ_2 Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems
A noisy generalized phase retrieval (NGPR) problem refers to a problem o...
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02/26/2022
High Dimensional Statistical Estimation under One-bit Quantization
Compared with data with high precision, one-bit (binary) data are prefer...
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02/04/2022