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High-Dimensional Estimation of Structured Signals from Non-Linear
  Observations with General Convex Loss Functions
v1v2v3 (latest)

High-Dimensional Estimation of Structured Signals from Non-Linear Observations with General Convex Loss Functions

10 February 2016
Martin Genzel
ArXiv (abs)PDFHTML

Papers citing "High-Dimensional Estimation of Structured Signals from Non-Linear Observations with General Convex Loss Functions"

49 / 49 papers shown
A Unified Framework for Uniform Signal Recovery in Nonlinear Generative
  Compressed Sensing
A Unified Framework for Uniform Signal Recovery in Nonlinear Generative Compressed SensingNeural Information Processing Systems (NeurIPS), 2023
Junren Chen
Jonathan Scarlett
Michael K. Ng
Zhaoqiang Liu
FedML
415
11
0
25 Sep 2023
Misspecified Phase Retrieval with Generative Priors
Misspecified Phase Retrieval with Generative PriorsNeural Information Processing Systems (NeurIPS), 2022
Zhaoqiang Liu
Xinshao Wang
Jiulong Liu
252
7
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 PriorsInternational Joint Conference on Artificial Intelligence (IJCAI), 2022
Zhaoqiang Liu
J. Han
261
9
0
21 Sep 2022
Non-Iterative Recovery from Nonlinear Observations using Generative
  Models
Non-Iterative Recovery from Nonlinear Observations using Generative ModelsComputer Vision and Pattern Recognition (CVPR), 2022
Jiulong Liu
Zhaoqiang Liu
371
13
0
31 May 2022
On Model Selection Consistency of Lasso for High-Dimensional Ising
  Models
On Model Selection Consistency of Lasso for High-Dimensional Ising Models
Xiangming Meng
T. Obuchi
Y. Kabashima
519
1
0
16 Oct 2021
Ising Model Selection Using $\ell_{1}$-Regularized Linear Regression: A
  Statistical Mechanics Analysis
Ising Model Selection Using ℓ1\ell_{1}ℓ1​-Regularized Linear Regression: A Statistical Mechanics AnalysisNeural Information Processing Systems (NeurIPS), 2021
Xiangming Meng
T. Obuchi
Y. Kabashima
483
5
0
08 Feb 2021
A Unified Approach to Uniform Signal Recovery From Non-Linear
  Observations
A Unified Approach to Uniform Signal Recovery From Non-Linear ObservationsFoundations of Computational Mathematics (FoCM), 2020
Martin Genzel
A. Stollenwerk
253
7
0
19 Sep 2020
Optimal Combination of Linear and Spectral Estimators for Generalized
  Linear Models
Optimal Combination of Linear and Spectral Estimators for Generalized Linear ModelsFoundations of Computational Mathematics (FoCM), 2020
Marco Mondelli
Christos Thrampoulidis
R. Venkataramanan
428
18
0
07 Aug 2020
Understanding Implicit Regularization in Over-Parameterized Single Index
  Model
Understanding Implicit Regularization in Over-Parameterized Single Index ModelJournal of the American Statistical Association (JASA), 2020
Jianqing Fan
Zhuoran Yang
Mengxin Yu
344
23
0
16 Jul 2020
The Generalized Lasso with Nonlinear Observations and Generative Priors
The Generalized Lasso with Nonlinear Observations and Generative Priors
Zhaoqiang Liu
Jonathan Scarlett
358
29
0
22 Jun 2020
Fundamental Limits of Ridge-Regularized Empirical Risk Minimization in
  High Dimensions
Fundamental Limits of Ridge-Regularized Empirical Risk Minimization in High Dimensions
Hossein Taheri
Ramtin Pedarsani
Christos Thrampoulidis
332
29
0
16 Jun 2020
Generic Error Bounds for the Generalized Lasso with Sub-Exponential Data
Generic Error Bounds for the Generalized Lasso with Sub-Exponential DataSampling Theory, Signal Processing, and Data Analysis (TSPDA), 2020
Martin Genzel
Christian Kipp
400
10
0
11 Apr 2020
II. High Dimensional Estimation under Weak Moment Assumptions:
  Structured Recovery and Matrix Estimation
II. High Dimensional Estimation under Weak Moment Assumptions: Structured Recovery and Matrix Estimation
Xiaohan Wei
319
0
0
05 Mar 2020
Sharp Asymptotics and Optimal Performance for Inference in Binary Models
Sharp Asymptotics and Optimal Performance for Inference in Binary ModelsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Hossein Taheri
Ramtin Pedarsani
Christos Thrampoulidis
292
29
0
17 Feb 2020
High Dimensional M-Estimation with Missing Outcomes: A Semi-Parametric
  Framework
High Dimensional M-Estimation with Missing Outcomes: A Semi-Parametric Framework
Abhishek Chakrabortty
Jiarui Lu
T. Tony Cai
Hongzhe Li
231
8
0
26 Nov 2019
A Model of Double Descent for High-dimensional Binary Linear
  Classification
A Model of Double Descent for High-dimensional Binary Linear ClassificationInformation and Inference A Journal of the IMA (JIII), 2019
Zeyu Deng
A. Kammoun
Christos Thrampoulidis
391
159
0
13 Nov 2019
Sharp Guarantees for Solving Random Equations with One-Bit Information
Sharp Guarantees for Solving Random Equations with One-Bit InformationAllerton Conference on Communication, Control, and Computing (Allerton), 2019
Hossein Taheri
Ramtin Pedarsani
Christos Thrampoulidis
300
7
0
12 Aug 2019
Quickly Finding the Best Linear Model in High Dimensions
Quickly Finding the Best Linear Model in High DimensionsIEEE Transactions on Signal Processing (IEEE Trans. Signal Process.), 2019
Yahya Sattar
Samet Oymak
224
8
0
03 Jul 2019
The Mismatch Principle: The Generalized Lasso Under Large Model
  Uncertainties
The Mismatch Principle: The Generalized Lasso Under Large Model Uncertainties
Martin Genzel
Gitta Kutyniok
264
2
0
20 Aug 2018
The Generalized Lasso for Sub-gaussian Measurements with Dithered
  Quantization
The Generalized Lasso for Sub-gaussian Measurements with Dithered QuantizationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2018
Christos Thrampoulidis
A. S. Rawat
MQ
222
35
0
18 Jul 2018
Robust 1-Bit Compressed Sensing via Hinge Loss Minimization
Robust 1-Bit Compressed Sensing via Hinge Loss Minimization
Martin Genzel
A. Stollenwerk
197
7
0
13 Apr 2018
Misspecified Nonconvex Statistical Optimization for Phase Retrieval
Misspecified Nonconvex Statistical Optimization for Phase Retrieval
Zhuoran Yang
Lin F. Yang
Ethan X. Fang
T. Zhao
Zhaoran Wang
Matey Neykov
189
15
0
18 Dec 2017
Lifting high-dimensional nonlinear models with Gaussian regressors
Lifting high-dimensional nonlinear models with Gaussian regressors
Christos Thrampoulidis
A. S. Rawat
297
8
0
11 Dec 2017
Surrogate Aided Unsupervised Recovery of Sparse Signals in Single Index
  Models for Binary Outcomes
Surrogate Aided Unsupervised Recovery of Sparse Signals in Single Index Models for Binary Outcomes
Abhishek Chakrabortty
Matey Neykov
Ray Carroll
Tianxi Cai
308
2
0
18 Jan 2017
Structured signal recovery from non-linear and heavy-tailed measurements
Structured signal recovery from non-linear and heavy-tailed measurements
L. Goldstein
Stanislav Minsker
Xiaohan Wei
287
47
0
05 Sep 2016
A Mathematical Framework for Feature Selection from Real-World Data with
  Non-Linear Observations
A Mathematical Framework for Feature Selection from Real-World Data with Non-Linear Observations
Martin Genzel
Gitta Kutyniok
231
14
0
31 Aug 2016
Non-asymptotic Analysis of $\ell_1$-norm Support Vector Machines
Non-asymptotic Analysis of ℓ1\ell_1ℓ1​-norm Support Vector Machines
A. Kolleck
J. Vybíral
245
5
0
27 Sep 2015
The LASSO with Non-linear Measurements is Equivalent to One With Linear
  Measurements
The LASSO with Non-linear Measurements is Equivalent to One With Linear Measurements
Christos Thrampoulidis
Ehsan Abbasi
B. Hassibi
248
120
0
06 Jun 2015
The generalized Lasso with non-linear observations
The generalized Lasso with non-linear observations
Y. Plan
Roman Vershynin
432
210
0
13 Feb 2015
Learning without Concentration for General Loss Functions
Learning without Concentration for General Loss FunctionsProbability theory and related fields (PTRF), 2014
S. Mendelson
295
67
0
13 Oct 2014
Sparse Estimation with Strongly Correlated Variables using Ordered
  Weighted L1 Regularization
Sparse Estimation with Strongly Correlated Variables using Ordered Weighted L1 Regularization
Mário A. T. Figueiredo
Robert D. Nowak
376
31
0
14 Sep 2014
Estimation in high dimensions: a geometric perspective
Estimation in high dimensions: a geometric perspective
Roman Vershynin
456
137
0
20 May 2014
Convex recovery of a structured signal from independent random linear
  measurements
Convex recovery of a structured signal from independent random linear measurements
J. Tropp
479
182
0
05 May 2014
High-dimensional estimation with geometric constraints
High-dimensional estimation with geometric constraints
Y. Plan
Roman Vershynin
E. Yudovina
445
147
0
14 Apr 2014
Simple Error Bounds for Regularized Noisy Linear Inverse Problems
Simple Error Bounds for Regularized Noisy Linear Inverse Problems
Christos Thrampoulidis
Samet Oymak
B. Hassibi
315
22
0
25 Jan 2014
Sparse recovery under weak moment assumptions
Sparse recovery under weak moment assumptions
Guillaume Lecué
S. Mendelson
462
98
0
09 Jan 2014
Learning without Concentration
Learning without ConcentrationAnnual Conference Computational Learning Theory (COLT), 2014
S. Mendelson
701
343
0
01 Jan 2014
Simple Bounds for Noisy Linear Inverse Problems with Exact Side
  Information
Simple Bounds for Noisy Linear Inverse Problems with Exact Side Information
Samet Oymak
Christos Thrampoulidis
B. Hassibi
343
25
0
02 Dec 2013
The Squared-Error of Generalized LASSO: A Precise Analysis
The Squared-Error of Generalized LASSO: A Precise AnalysisAllerton Conference on Communication, Control, and Computing (Allerton), 2013
Samet Oymak
Christos Thrampoulidis
B. Hassibi
537
133
0
04 Nov 2013
Learning subgaussian classes : Upper and minimax bounds
Learning subgaussian classes : Upper and minimax bounds
Guillaume Lecué
S. Mendelson
344
87
0
21 May 2013
The Lasso Problem and Uniqueness
The Lasso Problem and Uniqueness
Robert Tibshirani
665
582
0
01 Jun 2012
Robust 1-bit compressed sensing and sparse logistic regression: A convex
  programming approach
Robust 1-bit compressed sensing and sparse logistic regression: A convex programming approachIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2012
Y. Plan
Roman Vershynin
730
469
0
06 Feb 2012
The Convex Geometry of Linear Inverse Problems
The Convex Geometry of Linear Inverse Problems
V. Chandrasekaran
Benjamin Recht
P. Parrilo
A. Willsky
696
1,369
0
03 Dec 2010
A Unified Framework for High-Dimensional Analysis of M-Estimators with
  Decomposable Regularizers
A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers
S. Negahban
Pradeep Ravikumar
Martin J. Wainwright
Bin Yu
1.0K
1,444
0
13 Oct 2010
Learning Functions of Few Arbitrary Linear Parameters in High Dimensions
Learning Functions of Few Arbitrary Linear Parameters in High Dimensions
M. Fornasier
Karin Schnass
J. Vybíral
344
103
0
18 Aug 2010
The solution path of the generalized lasso
The solution path of the generalized lasso
Robert Tibshirani
Jonathan E. Taylor
718
908
0
11 May 2010
Self-concordant analysis for logistic regression
Self-concordant analysis for logistic regression
Francis R. Bach
507
226
0
24 Oct 2009
On the conditions used to prove oracle results for the Lasso
On the conditions used to prove oracle results for the Lasso
Sara van de Geer
Peter Buhlmann
715
747
0
05 Oct 2009
Piecewise linear regularized solution paths
Piecewise linear regularized solution paths
Saharon Rosset
Ji Zhu
958
526
0
16 Aug 2007
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