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Information-Theoretic Lower Bounds for Compressive Sensing with
  Generative Models
v1v2 (latest)

Information-Theoretic Lower Bounds for Compressive Sensing with Generative Models

28 August 2019
Zhaoqiang Liu
Jonathan Scarlett
ArXiv (abs)PDFHTML

Papers citing "Information-Theoretic Lower Bounds for Compressive Sensing with Generative Models"

31 / 31 papers shown
Title
Learning Single Index Models with Diffusion Priors
Learning Single Index Models with Diffusion Priors
Anqi Tang
Youming Chen
Shuchen Xue
Zhaoqiang Liu
DiffM
81
0
0
27 May 2025
Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models
Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models
Yang Zheng
Wen Li
Zhaoqiang Liu
47
0
0
27 May 2025
Chasing Better Deep Image Priors between Over- and
  Under-parameterization
Chasing Better Deep Image Priors between Over- and Under-parameterization
Qiming Wu
Xiaohan Chen
Yi Ding
Zhangyang Wang
105
1
0
31 Oct 2024
A Unified Framework for Uniform Signal Recovery in Nonlinear Generative
  Compressed Sensing
A Unified Framework for Uniform Signal Recovery in Nonlinear Generative Compressed Sensing
Junren Chen
Jonathan Scarlett
Michael K. Ng
Zhaoqiang Liu
FedML
77
8
0
25 Sep 2023
On the Fine-Grained Hardness of Inverting Generative Models
On the Fine-Grained Hardness of Inverting Generative Models
Feyza Duman Keles
Chinmay Hegde
70
1
0
11 Sep 2023
Generalization analysis of an unfolding network for analysis-based Compressed Sensing
Generalization analysis of an unfolding network for analysis-based Compressed Sensing
Vicky Kouni
Yannis Panagakis
MLT
91
0
0
09 Mar 2023
MrSARP: A Hierarchical Deep Generative Prior for SAR Image
  Super-resolution
MrSARP: A Hierarchical Deep Generative Prior for SAR Image Super-resolution
Tushar Agarwal
Nithin Sugavanam
Emre Ertin
GAN
84
2
0
30 Nov 2022
Misspecified Phase Retrieval with Generative Priors
Misspecified Phase Retrieval with Generative Priors
Zhaoqiang Liu
Xinshao Wang
Jiulong Liu
79
6
0
11 Oct 2022
Projected Gradient Descent Algorithms for Solving Nonlinear Inverse
  Problems with Generative Priors
Projected Gradient Descent Algorithms for Solving Nonlinear Inverse Problems with Generative Priors
Zhaoqiang Liu
J. Han
57
7
0
21 Sep 2022
A coherence parameter characterizing generative compressed sensing with
  Fourier measurements
A coherence parameter characterizing generative compressed sensing with Fourier measurements
Aaron Berk
Simone Brugiapaglia
Babhru Joshi
Y. Plan
Matthew Scott
Özgür Yilmaz
97
7
0
19 Jul 2022
Theoretical Perspectives on Deep Learning Methods in Inverse Problems
Theoretical Perspectives on Deep Learning Methods in Inverse Problems
Jonathan Scarlett
Reinhard Heckel
M. Rodrigues
Paul Hand
Yonina C. Eldar
AI4CE
110
32
0
29 Jun 2022
Score-Guided Intermediate Layer Optimization: Fast Langevin Mixing for
  Inverse Problems
Score-Guided Intermediate Layer Optimization: Fast Langevin Mixing for Inverse Problems
Giannis Daras
Y. Dagan
A. Dimakis
C. Daskalakis
BDL
107
15
0
18 Jun 2022
Non-Iterative Recovery from Nonlinear Observations using Generative
  Models
Non-Iterative Recovery from Nonlinear Observations using Generative Models
Jiulong Liu
Zhaoqiang Liu
103
12
0
31 May 2022
Generative Principal Component Analysis
Generative Principal Component Analysis
Zhaoqiang Liu
Jiulong Liu
Subhro Ghosh
Jun Han
Jonathan Scarlett
75
15
0
18 Mar 2022
Just Least Squares: Binary Compressive Sampling with Low Generative
  Intrinsic Dimension
Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension
Yuling Jiao
Dingwei Li
Min Liu
Xiliang Lu
Yuanyuan Yang
102
2
0
29 Nov 2021
Robust 1-bit Compressive Sensing with Partial Gaussian Circulant
  Matrices and Generative Priors
Robust 1-bit Compressive Sensing with Partial Gaussian Circulant Matrices and Generative Priors
Zhaoqiang Liu
Subhro Ghosh
J. Han
Jonathan Scarlett
63
8
0
08 Aug 2021
Robust Compressed Sensing MRI with Deep Generative Priors
Robust Compressed Sensing MRI with Deep Generative Priors
A. Jalal
Marius Arvinte
Giannis Daras
Eric Price
A. Dimakis
Jonathan I. Tamir
MedIm
102
339
0
03 Aug 2021
Towards Sample-Optimal Compressive Phase Retrieval with Sparse and
  Generative Priors
Towards Sample-Optimal Compressive Phase Retrieval with Sparse and Generative Priors
Zhaoqiang Liu
Subhro Ghosh
Jonathan Scarlett
57
18
0
29 Jun 2021
Instance-Optimal Compressed Sensing via Posterior Sampling
Instance-Optimal Compressed Sensing via Posterior Sampling
A. Jalal
Sushrut Karmalkar
A. Dimakis
Eric Price
79
52
0
21 Jun 2021
Learning Generative Prior with Latent Space Sparsity Constraints
Learning Generative Prior with Latent Space Sparsity Constraints
Vinayak Killedar
P. Pokala
C. Seelamantula
38
3
0
25 May 2021
Provable Compressed Sensing with Generative Priors via Langevin Dynamics
Provable Compressed Sensing with Generative Priors via Langevin Dynamics
Thanh V. Nguyen
Gauri Jagatap
Chinmay Hegde
GAN
79
15
0
25 Feb 2021
Intermediate Layer Optimization for Inverse Problems using Deep
  Generative Models
Intermediate Layer Optimization for Inverse Problems using Deep Generative Models
Giannis Daras
Joseph Dean
A. Jalal
A. Dimakis
DRL
230
85
0
15 Feb 2021
Subspace Embeddings Under Nonlinear Transformations
Subspace Embeddings Under Nonlinear Transformations
Aarshvi Gajjar
Cameron Musco
51
5
0
05 Oct 2020
The Generalized Lasso with Nonlinear Observations and Generative Priors
The Generalized Lasso with Nonlinear Observations and Generative Priors
Zhaoqiang Liu
Jonathan Scarlett
61
28
0
22 Jun 2020
Robust Compressed Sensing using Generative Models
Robust Compressed Sensing using Generative Models
A. Jalal
Liu Liu
A. Dimakis
Constantine Caramanis
96
41
0
16 Jun 2020
Spectral DiffuserCam: lensless snapshot hyperspectral imaging with a
  spectral filter array
Spectral DiffuserCam: lensless snapshot hyperspectral imaging with a spectral filter array
Kristina Monakhova
Kyrollos Yanny
Neerja Aggarwal
Laura Waller
66
127
0
15 Jun 2020
Solving Inverse Problems with a Flow-based Noise Model
Solving Inverse Problems with a Flow-based Noise Model
Jay Whang
Qi Lei
A. Dimakis
132
39
0
18 Mar 2020
Composing Normalizing Flows for Inverse Problems
Composing Normalizing Flows for Inverse Problems
Jay Whang
Erik M. Lindgren
A. Dimakis
TPM
116
51
0
26 Feb 2020
Sample Complexity Bounds for 1-bit Compressive Sensing and Binary Stable
  Embeddings with Generative Priors
Sample Complexity Bounds for 1-bit Compressive Sensing and Binary Stable Embeddings with Generative Priors
Zhaoqiang Liu
S. Gomes
Avtansh Tiwari
Jonathan Scarlett
93
28
0
05 Feb 2020
Lower Bounds for Compressed Sensing with Generative Models
Lower Bounds for Compressed Sensing with Generative Models
Akshay Kamath
Sushrut Karmalkar
Eric Price
GAN
76
20
0
06 Dec 2019
Robust One-Bit Recovery via ReLU Generative Networks: Near-Optimal
  Statistical Rate and Global Landscape Analysis
Robust One-Bit Recovery via ReLU Generative Networks: Near-Optimal Statistical Rate and Global Landscape Analysis
Shuang Qiu
Xiaohan Wei
Zhuoran Yang
85
25
0
14 Aug 2019
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