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Nonconvex Phase Synchronization

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/11744023_45openalex-snapshot
What Is the Range of Surface Reconstructions from a Gradient Field?
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Reconstruction of Optical Surfaces from Ray Data
inferredcites →https://doi.org/10.1007/s10107-013-0738-9openalex-snapshot
Phase recovery, MaxCut and complex semidefinite programming
inferredcites →https://doi.org/10.1007/s10107-016-0993-7openalex-snapshot
Approximating the little Grothendieck problem over the orthogonal and unitary groups
inferredcites →https://doi.org/10.1007/s10107-016-1059-6openalex-snapshot
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
inferredcites →https://doi.org/10.1007/s10208-005-0179-9openalex-snapshot
Trust-Region Methods on Riemannian Manifolds
inferredcites →https://doi.org/10.1007/s11263-012-0601-0openalex-snapshot
Rotation Averaging
inferredcites →https://doi.org/10.1016/j.acha.2010.02.001openalex-snapshot
Angular synchronization by eigenvectors and semidefinite programming
inferredcites →https://doi.org/10.1016/j.jco.2011.06.001openalex-snapshot
Complexity bounds for second-order optimality in unconstrained optimization
inferredcites →https://doi.org/10.1016/j.sigpro.2012.08.025openalex-snapshot
An analytical solution for the complete sensor network attitude estimation problem
inferredcites →https://doi.org/10.1073/pnas.1523097113openalex-snapshot
Phase transitions in semidefinite relaxations
inferredcites →https://doi.org/10.1093/imaiai/iat005openalex-snapshot
Exact and stable recovery of rotations for robust synchronization
inferredcites →https://doi.org/10.1093/imaiai/iat006openalex-snapshot
Cramer-Rao bounds for synchronization of rotations
inferredcites →https://doi.org/10.1093/imaiai/iau002openalex-snapshot
Phase retrieval from power spectra of masked signals
inferredcites →https://doi.org/10.1093/imaiai/iay020openalex-snapshot
Computational complexity versus statistical performance on sparse recovery problems
inferredcites →https://doi.org/10.1093/imanum/drx080openalex-snapshot
Global rates of convergence for nonconvex optimization on manifolds
inferredcites →https://doi.org/10.1109/cdc.2006.377325openalex-snapshot
Distributed Clock Synchronization over Wireless Networks: Algorithms and Analysis
inferredcites →https://doi.org/10.1109/cvpr.2007.383115openalex-snapshot
Robust Rotation and Translation Estimation in Multiview Reconstruction
inferredcites →https://doi.org/10.1109/cvpr.2011.5995745openalex-snapshot
L1 rotation averaging using the Weiszfeld algorithm
inferredcites →https://doi.org/10.1109/cvpr12085.2007openalex-snapshot
2007 IEEE Conference on Computer Vision and Pattern Recognition
inferredcites →https://doi.org/10.1109/sampta.2015.7148922openalex-snapshot
Complete dictionary recovery over the sphere
inferredcites →https://doi.org/10.1109/tit.2015.2457942openalex-snapshot
Non-Negative Principal Component Analysis: Message Passing Algorithms and Sharp Asymptotics
inferredcites →https://doi.org/10.1109/tit.2017.2745623openalex-snapshot
Non-Convex Phase Retrieval From STFT Measurements
inferredcites →https://doi.org/10.1109/tnse.2016.2523761openalex-snapshot
Sync-Rank: Robust Ranking, Constrained Ranking and Rank Aggregation via Eigenvector and SDP Synchronization
inferredcites →https://doi.org/10.1109/tsp.2013.2296883openalex-snapshot
Designing Unimodular Codes Via Quadratic Optimization
inferredcites →https://doi.org/10.1109/tsp.2015.2448516openalex-snapshot
Phase Retrieval Using Alternating Minimization
inferredcites →https://doi.org/10.1137/04061341xopenalex-snapshot
Complex Quadratic Optimization and Semidefinite Programming
inferredcites →https://doi.org/10.1137/090767777openalex-snapshot
Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming
inferredcites →https://doi.org/10.1137/1.9781611973075.57openalex-snapshot
Probabilistic Analysis of the Semidefinite Relaxation Detector in Digital Communications
inferredcites →https://doi.org/10.1137/110839072openalex-snapshot
Conditional Gradient Algorithmsfor Rank-One Matrix Approximations with a Sparsity Constraint
inferredcites →https://doi.org/10.1137/120875338openalex-snapshot
A Cheeger Inequality for the Graph Connection Laplacian
inferredcites →https://doi.org/10.1137/12089939xopenalex-snapshot
Phase Retrieval with Polarization
inferredcites →https://doi.org/10.1137/16m110109xopenalex-snapshot
On the Estimation Performance and Convergence Rate of the Generalized Power Method for Phase Synchronization
inferredcites →https://doi.org/10.1137/s1052623400382467openalex-snapshot
Rank-Two Relaxation Heuristics for MAX-CUT and Other Binary Quadratic Programs
inferredcites →https://doi.org/10.1515/9781400830244openalex-snapshot
Optimization Algorithms on Matrix Manifolds
inferredcites →https://doi.org/10.21236/ada625017openalex-snapshot
Sync-rank: Robust Ranking, Constrained Ranking and Rank Aggregation via Eigenvector and SDP Synchronization
inferredcites →https://doi.org/10.2307/2153188openalex-snapshot
Nonlinear Optimization: Complexity Issues.
inferredcites →https://doi.org/10.48550/arxiv.0811.4724openalex-snapshot
Generalized power method for sparse principal component analysis
inferredcites →https://doi.org/10.48550/arxiv.1010.2983openalex-snapshot
Estimation and Registration on Graphs
inferredcites →https://doi.org/10.48550/arxiv.1107.1163openalex-snapshot
Conditional Gradient Algorithms for Rank-One Matrix Approximations with a Sparsity Constraint
inferredcites →https://doi.org/10.48550/arxiv.1206.0102openalex-snapshot
Phase Recovery, MaxCut and Complex Semidefinite Programming
inferredcites →https://doi.org/10.48550/arxiv.1308.5200openalex-snapshot
Manopt, a Matlab toolbox for optimization on manifolds
inferredcites →https://doi.org/10.48550/arxiv.1503.02101openalex-snapshot
Escaping From Saddle Points --- Online Stochastic Gradient for Tensor Decomposition
inferredcites →https://doi.org/10.48550/arxiv.1504.01070openalex-snapshot
Sync-Rank: Robust Ranking, Constrained Ranking and Rank Aggregation via Eigenvector and Semidefinite Programming Synchronization
inferredcites →https://doi.org/10.48550/arxiv.1506.00575openalex-snapshot
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints
inferredcites →https://doi.org/10.48550/arxiv.1510.06096openalex-snapshot
When Are Nonconvex Problems Not Scary?
inferredcites →https://doi.org/10.48550/arxiv.1602.04426openalex-snapshot
On the low-rank approach for semidefinite programs arising in synchronization and community detection
inferredcites →https://doi.org/10.48550/arxiv.1606.04970openalex-snapshot
The non-convex Burer-Monteiro approach works on smooth semidefinite programs
inferredcites →https://doi.org/10.5555/1756006.1756021openalex-snapshot
Generalized Power Method for Sparse Principal Component Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Unified Approach to Synchronization Problems Over Subgroups of the Orthogonal Group
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Data‐Driven Discovery of Unconventional Antiferromagnets
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Message‐Passing Algorithms for Synchronization Problems over Compact Groups
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The Projected Power Method: An Efficient Algorithm for Joint Alignment from Pairwise Differences
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Hybrid TH precoding with subarray connection for multi‐user mmWave MIMO systems
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Fourier Phase Retrieval: Uniqueness and Algorithms
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Median-Truncated Gradient Descent: A Robust and Scalable Nonconvex Approach for Signal Estimation
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On Recovery Guarantees for Angular Synchronization
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Power Spectrum Unbiasing for Dilation-Invariant Multi-reference Alignment
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On the geometric analysis of a quartic–quadratic optimization problem under a spherical constraint
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Solving orthogonal group synchronization via convex and low-rank optimization: tightness and landscape analysis
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A Geometric Analysis of Phase Retrieval
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Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization
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Using negative curvature in solving nonlinear programs
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Argument division based branch-and-bound algorithm for unit-modulus constrained complex quadratic programming
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A graphic structure based branch-and-bound algorithm for complex quadratic optimization and applications to magnitude least-square problem
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Adaptive Trust-Region Method on Riemannian Manifold
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Riemannian Trust Region Methods for $$\hbox {SC}^1$$ Minimization
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Subgradient Methods for Sharp Weakly Convex Functions
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Depth Descent Synchronization in $${{\,\mathrm{\text {SO}}\,}}(D)$$
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On connections between Amplitude Flow and Error Reduction for phase retrieval and ptychography
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A Riemannian approach to low-rank tensor learning
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The Noise-sensitivity phase transition in spectral group synchronization over compact groups
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Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods
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Near-optimal bounds for generalized orthogonal Procrustes problem via generalized power method
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A unified approach to synchronization problems over subgroups of the orthogonal group
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Heuristic quality coefficients for interferometric phase linking
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Functional control of oscillator networks
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Orientation estimation of cryo-EM images using projected gradient descent method
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Wavelet invariants for statistically robust multi-reference alignment
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Optimal orthogonal group synchronization and rotation group synchronization
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Minimax optimal clustering of bipartite graphs with a generalized power method
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SE(3) Synchronization by eigenvectors of dual quaternion matrices
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Asymptotic mutual information in quadratic estimation problems over compact groups
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Computational complexity versus statistical performance on sparse recovery problems
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Global rates of convergence for nonconvex optimization on manifolds
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Robust Initialization Estimator and its Application in Solving Quadratic Equations
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An Efficient Method for Non-Convex Blind Deconvolution
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RIS-Assisted MISO Communication: Optimal Beamformers and Performance Analysis
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Phase retrieval from STFT measurements via non-convex optimization
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Phase-only Robust Minimum Dispersion Beamforming
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Extreme-Point Pursuit for Unit-Modulus Optimization
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Cardinality-Constrained Binary Quadratic Optimization via Extreme Point Pursuit, with Application to the Densest K-Subgraph Problem
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Anchored Spectral Estimator for Rigid Motion Synchronization
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Performance Guarantees for Spectral Initialization in Rotation Averaging and Pose-Graph SLAM
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VICAN: Very Efficient Calibration Algorithm for Large Camera Networks
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Efficient and Guaranteed Planar Pose Graph optimization Using the Complex Number Representation
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Adaptive Hybrid Precoding With High Energy Efficiency for Millimeter Wave Communication Systems
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Unrolled Algorithms for Group Synchronization
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Polynomial-Time Methods to Solve Unimodular Quadratic Programs With Performance Guarantees
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Phase Synchronization Error Calibration in Focused Energy Delivery for Precision Electronic Warfare
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Conditions for Exact Convex Relaxation and No Spurious Local Optima
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AFC-TH Hybrid Precoding With High Energy Efficiency for Millimeter Wave Communication Systems
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Complete Dictionary Recovery Over the Sphere II: Recovery by Riemannian Trust-Region Method
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Complete Dictionary Recovery Over the Sphere I: Overview and the Geometric Picture
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Non-Convex Phase Retrieval From STFT Measurements
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Phase Retrieval With Random Gaussian Sensing Vectors by Alternating Projections
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Median-Truncated Nonconvex Approach for Phase Retrieval With Outliers
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Multireference Alignment Is Easier With an Aperiodic Translation Distribution
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Convolutional Phase Retrieval via Gradient Descent
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Toward the Optimal Construction of a Loss Function Without Spurious Local Minima for Solving Quadratic Equations
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Exact Minimax Estimation for Phase Synchronization
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Dihedral Multi-Reference Alignment
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SDP Achieves Exact Minimax Optimality in Phase Synchronization
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CPL-SLAM: Efficient and Certifiably Correct Planar Graph-Based SLAM Using the Complex Number Representation
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Multi-Frequency Joint Community Detection and Phase Synchronization
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Fast Unit-Modulus Least Squares With Applications in Beamforming
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Solving Complex Quadratic Systems With Full-Rank Random Matrices
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Phase-Only Robust Minimum Dispersion Beamforming
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Symbol-Level Precoding Through the Lens of Zero Forcing and Vector Perturbation
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The Generalized Method of Moments for Multi-Reference Alignment
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An Accelerated Expectation-Maximization Algorithm for Multi-Reference Alignment
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Bispectrum Unbiasing for Dilation-Invariant Multi-Reference Alignment
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Projected power iteration for network alignment
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On the Estimation Performance and Convergence Rate of the Generalized Power Method for Phase Synchronization
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Near-Optimal Bounds for Phase Synchronization
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Tightness of a New and Enhanced Semidefinite Relaxation for MIMO Detection
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On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization
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Proximal Gradient Method for Nonsmooth Optimization over the Stiefel Manifold
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A Trust Region Method for Finding Second-Order Stationarity in Linearly Constrained Nonconvex Optimization
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The Condition Number of Riemannian Approximation Problems
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Multi-Reference Alignment in High Dimensions: Sample Complexity and Phase Transition
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Positive Semi-definite Embedding for Dimensionality Reduction and Out-of-Sample Extensions
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Improved Performance Guarantees for Orthogonal Group Synchronization via Generalized Power Method
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Joint Community Detection and Rotational Synchronization via Semidefinite Programming
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Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions
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SISAL Revisited
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The Sample Complexity of Sparse Multireference Alignment and Single-Particle Cryo-Electron Microscopy
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Guarantees for Spontaneous Synchronization on Random Geometric Graphs
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Nonsmooth Optimization over the Stiefel Manifold and Beyond: Proximal Gradient Method and Recent Variants
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Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries
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Ellipsoidal Embeddings of Graphs
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Random Multitype Spanning Forests for Synchronization on Sparse Graphs
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Tightness of SDP and Burer–Monteiro Factorization for Phase Synchronization in a High-Noise Regime
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Optimality and sub-optimality of PCA I: Spiked random matrix models
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Rates of estimation for high-dimensional multireference alignment
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Inference for heteroskedastic PCA with missing data
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Exact minimax optimality of spectral methods in phase synchronization and orthogonal group synchronization
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An Alternating Manifold Proximal Gradient Method for Sparse Principal Component Analysis and Sparse Canonical Correlation Analysis
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A Manifold Proximal Linear Method for Sparse Spectral Clustering with Application to Single-Cell RNA Sequencing Data Analysis
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Geometric Analysis of Noisy Low-Rank Matrix Recovery in the Exact Parametrized and the Overparametrized Regimes
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Lifelong, learning-augmented robot navigation
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Sharp Restricted Isometry Property Bounds for Low-Rank Matrix Recovery Problems with Corrupted Measurements
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Semidefinite Programming versus Burer-Monteiro Factorization for Matrix Sensing
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An extension of the angular synchronization problem to the heterogeneous setting
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Optimal rates of estimation for multi-reference alignment
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On the low-rank approach for semidefinite programs arising in synchronization and community detection
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Reshaped Wirtinger Flow and Incremental Algorithm for Solving Quadratic System of Equations
inferred← citeshttps://doi.org/10.48550/arxiv.1609.05573openalex-snapshot
Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization
inferred← citeshttps://doi.org/10.48550/arxiv.1706.03896openalex-snapshot
A Well-Tempered Landscape for Non-convex Robust Subspace Recovery
inferred← citeshttps://doi.org/10.48550/arxiv.1809.10520openalex-snapshot
Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
inferred← citeshttps://doi.org/10.48550/arxiv.1810.01811openalex-snapshot
McTorch, a manifold optimization library for deep learning
inferred← citeshttps://doi.org/10.48550/arxiv.1810.02024openalex-snapshot
Convergence to Second-Order Stationarity for Constrained Non-Convex Optimization
inferred← citeshttps://doi.org/10.48550/arxiv.1901.08235openalex-snapshot
Multi-Frequency Phase Synchronization
inferred← citeshttps://doi.org/10.48550/arxiv.1903.11576openalex-snapshot
An Alternating Manifold Proximal Gradient Method for Sparse PCA and Sparse CCA
inferred← citeshttps://doi.org/10.48550/arxiv.1911.08700openalex-snapshot
Tightness of the semidefinite relaxation for orthogonal trace-sum maximization
inferred← citeshttps://doi.org/10.48550/arxiv.2001.06970openalex-snapshot
Finding the Sparsest Vectors in a Subspace: Theory, Algorithms, and Applications
inferred← citeshttps://doi.org/10.48550/arxiv.2002.05299openalex-snapshot
Depth Descent Synchronization in $\mathrm{SO}(D)$
inferred← citeshttps://doi.org/10.48550/arxiv.2002.07624openalex-snapshot
Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates
inferred← citeshttps://doi.org/10.48550/arxiv.2002.12795openalex-snapshot
The Landscape of Matrix Factorization Revisited
inferred← citeshttps://doi.org/10.48550/arxiv.2006.06658openalex-snapshot
Robust Multi-object Matching via Iterative Reweighting of the Graph Connection Laplacian
inferred← citeshttps://doi.org/10.48550/arxiv.2007.06753openalex-snapshot
From Symmetry to Geometry: Tractable Nonconvex Problems
inferred← citeshttps://doi.org/10.48550/arxiv.2007.09524openalex-snapshot
A Manifold Proximal Linear Method for Sparse Spectral Clustering with Application to Single-Cell RNA Sequencing Data Analysis
inferred← citeshttps://doi.org/10.48550/arxiv.2104.10356openalex-snapshot
General Low-rank Matrix Optimization: Geometric Analysis and Sharper Bounds
inferred← citeshttps://doi.org/10.48550/arxiv.2105.10318openalex-snapshot
Lecture notes on non-convex algorithms for low-rank matrix recovery
inferred← citeshttps://doi.org/10.48550/arxiv.2106.02111openalex-snapshot
Efficient $\mathbb{Z}_2$ synchronization on $\mathbb{Z}^d$ under symmetry-preserving side information
inferred← citeshttps://doi.org/10.48550/arxiv.2106.05644openalex-snapshot
Optimal Non-Convex Exact Recovery in Stochastic Block Model via Projected Power Method
inferred← citeshttps://doi.org/10.48550/arxiv.2106.08775openalex-snapshot
Momentum-inspired Low-Rank Coordinate Descent for Diagonally Constrained SDPs
inferred← citeshttps://doi.org/10.48550/arxiv.2107.01274openalex-snapshot
Unbiasing Procedures for Scale-invariant Multi-reference Alignment
inferred← citeshttps://doi.org/10.48550/arxiv.2204.04099openalex-snapshot
Seeded graph matching for the correlated Gaussian Wigner model via the projected power method
inferred← citeshttps://doi.org/10.7916/d8251j7hopenalex-snapshot
When Are Nonconvex Optimization Problems Not Scary?
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