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Phase Retrieval via Wirtinger Flow: Theory and Algorithms

Phase Retrieval via Wirtinger Flow: Theory and Algorithms

3 July 2014
Emmanuel Candes
Xiaodong Li
Mahdi Soltanolkotabi
ArXivPDFHTML

Papers citing "Phase Retrieval via Wirtinger Flow: Theory and Algorithms"

50 / 119 papers shown
Title
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Yicheng Li
Xinghua Sun
39
0
0
28 Apr 2025
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
Namrata Vaswani
44
0
0
20 Apr 2025
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
G. Zhang
S. Fattahi
Richard Y. Zhang
45
36
0
13 Apr 2025
Computational and Statistical Guarantees for Tensor-on-Tensor Regression with Tensor Train Decomposition
Computational and Statistical Guarantees for Tensor-on-Tensor Regression with Tensor Train Decomposition
Zhen Qin
Zhihui Zhu
74
4
0
10 Jun 2024
Classifying Overlapping Gaussian Mixtures in High Dimensions: From
  Optimal Classifiers to Neural Nets
Classifying Overlapping Gaussian Mixtures in High Dimensions: From Optimal Classifiers to Neural Nets
Khen Cohen
Noam Levi
Yaron Oz
BDL
31
1
0
28 May 2024
Adversarial Phase Retrieval via Nonlinear Least Absolute Deviation
Adversarial Phase Retrieval via Nonlinear Least Absolute Deviation
Gao Huang
Song Li
Hang Xu
30
0
0
11 Dec 2023
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled
  Gradient Descent, Even with Overparameterization
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled Gradient Descent, Even with Overparameterization
Cong Ma
Xingyu Xu
Tian Tong
Yuejie Chi
18
9
0
09 Oct 2023
Moreau Envelope ADMM for Decentralized Weakly Convex Optimization
Moreau Envelope ADMM for Decentralized Weakly Convex Optimization
Reza Mirzaeifard
Naveen K. D. Venkategowda
A. Jung
Stefan Werner
24
0
0
31 Aug 2023
Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample
  Complexity for Learning Single Index Models
Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample Complexity for Learning Single Index Models
Alexandru Damian
Eshaan Nichani
Rong Ge
Jason D. Lee
MLT
42
33
0
18 May 2023
Poisson-Gaussian Holographic Phase Retrieval with Score-based Image
  Prior
Poisson-Gaussian Holographic Phase Retrieval with Score-based Image Prior
Zongyu Li
Jason Hu
Xiaojian Xu
Liyue Shen
Jeffrey A. Fessler
DiffM
24
3
0
12 May 2023
Synthetic Principal Component Design: Fast Covariate Balancing with
  Synthetic Controls
Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls
Yiping Lu
Jiajin Li
Lexing Ying
Jose H. Blanchet
19
2
0
28 Nov 2022
DAD vision: opto-electronic co-designed computer vision with division
  adjoint method
DAD vision: opto-electronic co-designed computer vision with division adjoint method
Zihan Zang
Hao Wang
Yunpeng Xu
27
0
0
04 Nov 2022
Provable Phase Retrieval with Mirror Descent
Provable Phase Retrieval with Mirror Descent
Jean-Jacques-Narcisse Godeme
M. Fadili
Xavier Buet
M. Zerrad
M. Lequime
C. Amra
23
4
0
17 Oct 2022
From Gradient Flow on Population Loss to Learning with Stochastic
  Gradient Descent
From Gradient Flow on Population Loss to Learning with Stochastic Gradient Descent
Satyen Kale
Jason D. Lee
Chris De Sa
Ayush Sekhari
Karthik Sridharan
27
4
0
13 Oct 2022
Misspecified Phase Retrieval with Generative Priors
Misspecified Phase Retrieval with Generative Priors
Zhaoqiang Liu
Xinshao Wang
Jiulong Liu
46
4
0
11 Oct 2022
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape
  Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective
Yuetian Luo
Nicolas García Trillos
24
6
0
29 Sep 2022
Compressing Sign Information in DCT-based Image Coding via Deep Sign
  Retrieval
Compressing Sign Information in DCT-based Image Coding via Deep Sign Retrieval
Kei Suzuki
Chihiro Tsutake
Keita Takahashi
T. Fujii
26
3
0
21 Sep 2022
Accelerating SGD for Highly Ill-Conditioned Huge-Scale Online Matrix
  Completion
Accelerating SGD for Highly Ill-Conditioned Huge-Scale Online Matrix Completion
G. Zhang
Hong-Ming Chiu
Richard Y. Zhang
27
10
0
24 Aug 2022
Sudakov-Fernique post-AMP, and a new proof of the local convexity of the
  TAP free energy
Sudakov-Fernique post-AMP, and a new proof of the local convexity of the TAP free energy
Michael Celentano
46
20
0
19 Aug 2022
SPIRAL: A superlinearly convergent incremental proximal algorithm for
  nonconvex finite sum minimization
SPIRAL: A superlinearly convergent incremental proximal algorithm for nonconvex finite sum minimization
Pourya Behmandpoor
P. Latafat
Andreas Themelis
Marc Moonen
Panagiotis Patrinos
29
2
0
17 Jul 2022
Subspace Phase Retrieval
Subspace Phase Retrieval
Meng Xu
Dekuan Dong
J. Wang
21
2
0
06 Jun 2022
Non-Iterative Recovery from Nonlinear Observations using Generative
  Models
Non-Iterative Recovery from Nonlinear Observations using Generative Models
Jiulong Liu
Zhaoqiang Liu
42
11
0
31 May 2022
Optimizing Intermediate Representations of Generative Models for Phase
  Retrieval
Optimizing Intermediate Representations of Generative Models for Phase Retrieval
Tobias Uelwer
S. Konietzny
Stefan Harmeling
26
1
0
31 May 2022
Group-invariant max filtering
Group-invariant max filtering
Jameson Cahill
Joseph W. Iverson
D. Mixon
Dan Packer
30
21
0
27 May 2022
SiSPRNet: End-to-End Learning for Single-Shot Phase Retrieval
SiSPRNet: End-to-End Learning for Single-Shot Phase Retrieval
Qiuliang Ye
Li-Wen Wang
D. Lun
13
14
0
23 May 2022
Randomly Initialized Alternating Least Squares: Fast Convergence for
  Matrix Sensing
Randomly Initialized Alternating Least Squares: Fast Convergence for Matrix Sensing
Kiryung Lee
Dominik Stöger
31
11
0
25 Apr 2022
Convex Augmentation for Total Variation Based Phase Retrieval
Convex Augmentation for Total Variation Based Phase Retrieval
Jian-qiang Niu
Hok Shing Wong
T. Zeng
18
0
0
21 Apr 2022
Randomized Policy Optimization for Optimal Stopping
Randomized Policy Optimization for Optimal Stopping
Xinyi Guan
V. Mišić
19
2
0
25 Mar 2022
Bayesian Inversion for Nonlinear Imaging Models using Deep Generative
  Priors
Bayesian Inversion for Nonlinear Imaging Models using Deep Generative Priors
Pakshal Bohra
Thanh-an Michel Pham
Jonathan Dong
M. Unser
MedIm
23
11
0
18 Mar 2022
Restarted Nonconvex Accelerated Gradient Descent: No More
  Polylogarithmic Factor in the $O(ε^{-7/4})$ Complexity
Restarted Nonconvex Accelerated Gradient Descent: No More Polylogarithmic Factor in the O(ε−7/4)O(ε^{-7/4})O(ε−7/4) Complexity
Huan Li
Zhouchen Lin
42
21
0
27 Jan 2022
Matrix Completion with Hierarchical Graph Side Information
Matrix Completion with Hierarchical Graph Side Information
Adel M. Elmahdy
Junhyung Ahn
Changho Suh
S. Mohajer
23
15
0
02 Jan 2022
Estimation in Rotationally Invariant Generalized Linear Models via
  Approximate Message Passing
Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing
R. Venkataramanan
Kevin Kögler
Marco Mondelli
27
32
0
08 Dec 2021
Optimal convex lifted sparse phase retrieval and PCA with an atomic
  matrix norm regularizer
Optimal convex lifted sparse phase retrieval and PCA with an atomic matrix norm regularizer
Andrew D. McRae
Justin Romberg
Mark A. Davenport
35
8
0
08 Nov 2021
Large Learning Rate Tames Homogeneity: Convergence and Balancing Effect
Large Learning Rate Tames Homogeneity: Convergence and Balancing Effect
Yuqing Wang
Minshuo Chen
T. Zhao
Molei Tao
AI4CE
57
40
0
07 Oct 2021
Coordinate Descent Methods for DC Minimization: Optimality Conditions
  and Global Convergence
Coordinate Descent Methods for DC Minimization: Optimality Conditions and Global Convergence
Ganzhao Yuan
33
3
0
09 Sep 2021
Nonconvex Factorization and Manifold Formulations are Almost Equivalent
  in Low-rank Matrix Optimization
Nonconvex Factorization and Manifold Formulations are Almost Equivalent in Low-rank Matrix Optimization
Yuetian Luo
Xudong Li
Anru R. Zhang
33
9
0
03 Aug 2021
Small random initialization is akin to spectral learning: Optimization
  and generalization guarantees for overparameterized low-rank matrix
  reconstruction
Small random initialization is akin to spectral learning: Optimization and generalization guarantees for overparameterized low-rank matrix reconstruction
Dominik Stöger
Mahdi Soltanolkotabi
ODL
42
75
0
28 Jun 2021
Sharp Global Guarantees for Nonconvex Low-rank Recovery in the Noisy Overparameterized Regime
Sharp Global Guarantees for Nonconvex Low-rank Recovery in the Noisy Overparameterized Regime
Richard Y. Zhang
47
25
0
21 Apr 2021
Phase Retrieval using Expectation Consistent Signal Recovery Algorithm
  based on Hypernetwork
Phase Retrieval using Expectation Consistent Signal Recovery Algorithm based on Hypernetwork
Chang-Jen Wang
Chao-Kai Wen
Shang-Ho
S. Tsai
Shi Jin
Geoffrey Ye Li
27
5
0
12 Jan 2021
Global Convergence of Model Function Based Bregman Proximal Minimization
  Algorithms
Global Convergence of Model Function Based Bregman Proximal Minimization Algorithms
Mahesh Chandra Mukkamala
M. Fadili
Peter Ochs
22
8
0
24 Dec 2020
Spectral Methods for Data Science: A Statistical Perspective
Spectral Methods for Data Science: A Statistical Perspective
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
42
165
0
15 Dec 2020
On InstaHide, Phase Retrieval, and Sparse Matrix Factorization
On InstaHide, Phase Retrieval, and Sparse Matrix Factorization
Sitan Chen
Xiaoxiao Li
Zhao Song
Danyang Zhuo
27
13
0
23 Nov 2020
Recursive Importance Sketching for Rank Constrained Least Squares:
  Algorithms and High-order Convergence
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence
Yuetian Luo
Wen Huang
Xudong Li
Anru R. Zhang
23
15
0
17 Nov 2020
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and
  Robust Convergence Without the Condition Number
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and Robust Convergence Without the Condition Number
Tian Tong
Cong Ma
Yuejie Chi
21
55
0
26 Oct 2020
Quickly Finding a Benign Region via Heavy Ball Momentum in Non-Convex
  Optimization
Quickly Finding a Benign Region via Heavy Ball Momentum in Non-Convex Optimization
Jun-Kun Wang
Jacob D. Abernethy
11
7
0
04 Oct 2020
Phase retrieval with Bregman divergences and application to audio signal
  recovery
Phase retrieval with Bregman divergences and application to audio signal recovery
Pierre-Hugo Vial
P. Magron
Thomas Oberlin
Cédric Févotte
13
18
0
01 Oct 2020
Solving Phase Retrieval with a Learned Reference
Solving Phase Retrieval with a Learned Reference
Rakib Hyder
Zikui Cai
Ulugbek S. Kamilov
13
24
0
29 Jul 2020
Positive Semidefinite Matrix Factorization: A Connection with Phase
  Retrieval and Affine Rank Minimization
Positive Semidefinite Matrix Factorization: A Connection with Phase Retrieval and Affine Rank Minimization
D. Lahat
Yanbin Lang
Vincent Y. F. Tan
Cédric Févotte
20
3
0
24 Jul 2020
DeepInit Phase Retrieval
DeepInit Phase Retrieval
M. Reiche
P. Jung
27
3
0
16 Jul 2020
Uncertainty quantification for nonconvex tensor completion: Confidence
  intervals, heteroscedasticity and optimality
Uncertainty quantification for nonconvex tensor completion: Confidence intervals, heteroscedasticity and optimality
Changxiao Cai
H. Vincent Poor
Yuxin Chen
13
23
0
15 Jun 2020
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