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The Convex Geometry of Linear Inverse Problems
v1v2v3 (latest)

The Convex Geometry of Linear Inverse Problems

3 December 2010
V. Chandrasekaran
Benjamin Recht
P. Parrilo
A. Willsky
ArXiv (abs)PDFHTML

Papers citing "The Convex Geometry of Linear Inverse Problems"

50 / 296 papers shown
Optimal Regularization Under Uncertainty: Distributional Robustness and Convexity Constraints
Optimal Regularization Under Uncertainty: Distributional Robustness and Convexity Constraints
Oscar Leong
Eliza O'Reilly
Yong Sheng Soh
OOD
233
0
0
03 Oct 2025
Closed-form $\ell_r$ norm scaling with data for overparameterized linear regression and diagonal linear networks under $\ell_p$ bias
Closed-form ℓr\ell_rℓr​ norm scaling with data for overparameterized linear regression and diagonal linear networks under ℓp\ell_pℓp​ bias
Shuofeng Zhang
A. Louis
254
0
0
25 Sep 2025
FraPPE: Fast and Efficient Preference-based Pure Exploration
FraPPE: Fast and Efficient Preference-based Pure Exploration
Udvas Das
Apurv Shukla
Debabrota Basu
225
1
0
22 Aug 2025
Optimal Implicit Bias in Linear Regression
Optimal Implicit Bias in Linear Regression
K. N. Varma
Babak Hassibi
216
1
0
20 Jun 2025
Tractable downfall of basis pursuit in structured sparse optimization
Tractable downfall of basis pursuit in structured sparse optimization
Maya V. Marmary
Christian Grussler
366
3
0
24 Mar 2025
Test-Time Training Provably Improves Transformers as In-context Learners
Test-Time Training Provably Improves Transformers as In-context Learners
Halil Alperen Gozeten
M. E. Ildiz
Xuechen Zhang
Mahdi Soltanolkotabi
Marco Mondelli
Samet Oymak
409
8
0
14 Mar 2025
GROOT: Effective Design of Biological Sequences with Limited Experimental Data
Thanh V. T. Tran
Nhat-Khang Ngô
V. Nguyen
Truong-Son Hy
281
1
0
18 Nov 2024
The Star Geometry of Critic-Based Regularizer Learning
The Star Geometry of Critic-Based Regularizer LearningNeural Information Processing Systems (NeurIPS), 2024
Oscar Leong
Eliza O'Reilly
Yong Sheng Soh
AAML
413
2
0
29 Aug 2024
Low Complexity Regularized Phase Retrieval
Low Complexity Regularized Phase Retrieval
Jean-Jacques-Narcisse Godeme
M. Fadili
285
0
0
23 Jul 2024
CoSIGN: Few-Step Guidance of ConSIstency Model to Solve General INverse
  Problems
CoSIGN: Few-Step Guidance of ConSIstency Model to Solve General INverse Problems
Jiankun Zhao
Bowen Song
Liyue Shen
DiffM
266
13
0
17 Jul 2024
UFID: A Unified Framework for Input-level Backdoor Detection on Diffusion Models
UFID: A Unified Framework for Input-level Backdoor Detection on Diffusion Models
Zihan Guan
Mengxuan Hu
Sheng Li
Anil Vullikanti
DiffMAAML
395
3
0
01 Apr 2024
Rethinking The Uniformity Metric in Self-Supervised Learning
Rethinking The Uniformity Metric in Self-Supervised Learning
Xianghong Fang
Jian Li
Qiang Sun
Benyou Wang
SSL
327
2
0
01 Mar 2024
Tensor Completion via Integer Optimization
Tensor Completion via Integer Optimization
Xin Chen
S. Kudva
Yongzheng Dai
Anil Aswani
Chen Chen
257
0
0
06 Feb 2024
Characterizing the minimax rate of nonparametric regression under
  bounded convex constraints
Characterizing the minimax rate of nonparametric regression under bounded convex constraintsElectronic Journal of Statistics (EJS), 2024
Akshay Prasadan
Matey Neykov
322
1
0
15 Jan 2024
Hierarchical Bayesian Inverse Problems: A High-Dimensional Statistics
  Viewpoint
Hierarchical Bayesian Inverse Problems: A High-Dimensional Statistics Viewpoint
D. Sanz-Alonso
Nathan Waniorek
223
2
0
05 Jan 2024
Exact threshold for approximate ellipsoid fitting of random points
Exact threshold for approximate ellipsoid fitting of random pointsElectronic Journal of Probability (EJP), 2023
Antoine Maillard
Afonso S. Bandeira
298
6
0
09 Oct 2023
Convergence and Recovery Guarantees of Unsupervised Neural Networks for
  Inverse Problems
Convergence and Recovery Guarantees of Unsupervised Neural Networks for Inverse ProblemsJournal of Mathematical Imaging and Vision (JMIV), 2023
Nathan Buskulic
M. Fadili
Yvain Quéau
496
8
0
21 Sep 2023
Any-dimensional equivariant neural networks
Any-dimensional equivariant neural networksInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Eitan Levin
Mateo Díaz
243
10
0
10 Jun 2023
Spectral gap-based deterministic tensor completion
Spectral gap-based deterministic tensor completionInternational Conference on Sampling Theory and Applications (SampTA), 2023
K. Harris
Oscar López
A. Read
Yizhe Zhu
173
3
0
09 Jun 2023
How Sparse Can We Prune A Deep Network: A Fundamental Limit Perspective
How Sparse Can We Prune A Deep Network: A Fundamental Limit PerspectiveNeural Information Processing Systems (NeurIPS), 2023
Qiaozhe Zhang
Rui-qi Zhang
Jun Sun
Yingzhuang Liu
417
0
0
09 Jun 2023
Recovering Simultaneously Structured Data via Non-Convex Iteratively
  Reweighted Least Squares
Recovering Simultaneously Structured Data via Non-Convex Iteratively Reweighted Least SquaresNeural Information Processing Systems (NeurIPS), 2023
C. Kümmerle
J. Maly
336
3
0
08 Jun 2023
In-Context Learning through the Bayesian Prism
In-Context Learning through the Bayesian PrismInternational Conference on Learning Representations (ICLR), 2023
Madhuri Panwar
Kabir Ahuja
Navin Goyal
BDL
432
78
0
08 Jun 2023
Dictionary Learning under Symmetries via Group Representations
Dictionary Learning under Symmetries via Group Representations
Subhro Ghosh
A. R. Low
Yong Sheng Soh
Zhuohang Feng
Brendan K. Y. Tan
OOD
252
1
0
31 May 2023
Computationally Efficient and Statistically Optimal Robust
  High-Dimensional Linear Regression
Computationally Efficient and Statistically Optimal Robust High-Dimensional Linear Regression
Yinan Shen
Jingyang Li
Jian-Feng Cai
Dong Xia
350
2
0
10 May 2023
Plug-and-Play split Gibbs sampler: embedding deep generative priors in
  Bayesian inference
Plug-and-Play split Gibbs sampler: embedding deep generative priors in Bayesian inferenceIEEE Transactions on Image Processing (IEEE TIP), 2023
Florentin Coeurdoux
N. Dobigeon
P. Chainais
304
34
0
21 Apr 2023
Learning linear dynamical systems under convex constraints
Learning linear dynamical systems under convex constraints
Hemant Tyagi
D. Efimov
396
3
0
27 Mar 2023
Sparse Recovery with Shuffled Labels: Statistical Limits and Practical
  Estimators
Sparse Recovery with Shuffled Labels: Statistical Limits and Practical EstimatorsInternational Symposium on Information Theory (ISIT), 2021
Hang Zhang
Ping Li
273
6
0
20 Mar 2023
How robust is randomized blind deconvolution via nuclear norm
  minimization against adversarial noise?
How robust is randomized blind deconvolution via nuclear norm minimization against adversarial noise?Applied and Computational Harmonic Analysis (ACHA), 2023
Julia Kostin
Felix Krahmer
Dominik Stöger
255
1
0
17 Mar 2023
Precise Asymptotic Analysis of Deep Random Feature Models
Precise Asymptotic Analysis of Deep Random Feature ModelsAnnual Conference Computational Learning Theory (COLT), 2023
David Bosch
Ashkan Panahi
B. Hassibi
388
21
0
13 Feb 2023
Deep networks for system identification: a Survey
Deep networks for system identification: a Survey
G. Pillonetto
Aleksandr Aravkin
Daniel Gedon
L. Ljung
Antônio H. Ribeiro
Thomas B. Schon
OOD
372
102
0
30 Jan 2023
Optimal Regularization for a Data Source
Optimal Regularization for a Data SourceFoundations of Computational Mathematics (FoCM), 2022
Oscar Leong
Eliza O'Reilly
Yong Sheng Soh
V. Chandrasekaran
305
7
0
27 Dec 2022
Gaussian random projections of convex cones: approximate kinematic
  formulae and applications
Gaussian random projections of convex cones: approximate kinematic formulae and applications
Q. Han
Hua Ren
285
3
0
11 Dec 2022
Fast Algorithm for Constrained Linear Inverse Problems
Fast Algorithm for Constrained Linear Inverse Problems
Mohammed Rayyan Sheriff
Floor Fenne Redel
Peyman Mohajerin Esfahani
425
0
0
02 Dec 2022
Accelerated Nonnegative Tensor Completion via Integer Programming
Accelerated Nonnegative Tensor Completion via Integer Programming
Wenhao Pan
A. Aswani
Chen Chen
287
1
0
28 Nov 2022
Robust Estimation of Sparse, High Dimensional Time Series with
  Polynomial Tails
Robust Estimation of Sparse, High Dimensional Time Series with Polynomial Tails
Sagnik Halder
George Michailidis
234
0
0
14 Nov 2022
Blind Asynchronous Over-the-Air Federated Edge Learning
Blind Asynchronous Over-the-Air Federated Edge Learning
Saeed Razavikia
Jaume Anguera Peris
J. M. B. D. Silva
Carlo Fischione
FedML
303
17
0
31 Oct 2022
Optimal Sparse Estimation of High Dimensional Heavy-tailed Time Series
Optimal Sparse Estimation of High Dimensional Heavy-tailed Time Series
Sagnik Halder
George Michailidis
AI4TS
274
0
0
19 Sep 2022
Approximation Theory of Total Variation Minimization for Data Completion
Approximation Theory of Total Variation Minimization for Data CompletionSocial Science Research Network (SSRN), 2022
Jiong Cai
Jae Kyu Choi
Ke Wei
183
0
0
15 Jul 2022
Signal Decomposition Using Masked Proximal Operators
Signal Decomposition Using Masked Proximal OperatorsFoundations and Trends® in Signal Processing (FTSP), 2022
Bennet E. Meyers
Stephen P. Boyd
487
15
0
18 Feb 2022
Zero-Truncated Poisson Regression for Sparse Multiway Count Data
  Corrupted by False Zeros
Zero-Truncated Poisson Regression for Sparse Multiway Count Data Corrupted by False ZerosInformation and Inference A Journal of the IMA (JIII), 2022
Oscar López
Daniel M. Dunlavy
R. Lehoucq
317
6
0
25 Jan 2022
Noisy linear inverse problems under convex constraints: Exact risk
  asymptotics in high dimensions
Noisy linear inverse problems under convex constraints: Exact risk asymptotics in high dimensionsAnnals of Statistics (Ann. Stat.), 2022
Q. Han
272
6
0
20 Jan 2022
Optimistic Rates: A Unifying Theory for Interpolation Learning and
  Regularization in Linear Regression
Optimistic Rates: A Unifying Theory for Interpolation Learning and Regularization in Linear Regression
Lijia Zhou
Frederic Koehler
Danica J. Sutherland
Nathan Srebro
321
28
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
268
9
0
08 Nov 2021
Nonnegative Tensor Completion via Integer Optimization
Nonnegative Tensor Completion via Integer Optimization
C. Bugg
Chen Chen
A. Aswani
352
8
0
08 Nov 2021
Beyond Independent Measurements: General Compressed Sensing with GNN
  Application
Beyond Independent Measurements: General Compressed Sensing with GNN Application
Alireza Naderi
Y. Plan
331
4
0
30 Oct 2021
WARPd: A linearly convergent first-order method for inverse problems
  with approximate sharpness conditions
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions
Matthew J. Colbrook
350
2
0
24 Oct 2021
Stochastic Primal-Dual Deep Unrolling
Stochastic Primal-Dual Deep Unrolling
Junqi Tang
Subhadip Mukherjee
Carola-Bibiane Schönlieb
422
5
0
19 Oct 2021
High-Dimensional Quantile Regression: Convolution Smoothing and Concave
  Regularization
High-Dimensional Quantile Regression: Convolution Smoothing and Concave Regularization
Kean Ming Tan
Lan Wang
Wen-Xin Zhou
250
86
0
12 Sep 2021
Convex Iteration for Distance-Geometric Inverse Kinematics
Convex Iteration for Distance-Geometric Inverse KinematicsIEEE Robotics and Automation Letters (RA-L), 2021
Matthew Giamou
Filip Marić
David M. Rosen
Valentin Peretroukhin
Nicholas Roy
Ivan Petrović
Jonathan Kelly
488
31
0
08 Sep 2021
Exclusive Group Lasso for Structured Variable Selection
Exclusive Group Lasso for Structured Variable Selection
D. Gregoratti
Xavier Mestre
Carlos Buelga
336
4
0
23 Aug 2021
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