
Finding stationary points on boundedrank matrices: A geometric hurdle and a smooth remedy
We consider the problem of provably finding a stationary point of a smoo...
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Random Conical Tilt Reconstruction without Particle Picking in Cryoelectron Microscopy
We propose a method to reconstruct the 3D molecular structure from micr...
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Generalization of QuasiNewton Methods: Application to Robust Symmetric Multisecant Updates
QuasiNewton techniques approximate the Newton step by estimating the He...
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An accelerated firstorder method for nonconvex optimization on manifolds
We describe the first gradient methods on Riemannian manifolds to achiev...
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The generalized orthogonal Procrustes problem in the high noise regime
We consider the problem of estimating a cloud of points from numerous no...
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Efficiently escaping saddle points on manifolds
Smooth, nonconvex optimization problems on Riemannian manifolds occur i...
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Multitarget Detection with an Arbitrary Spacing Distribution
Motivated by the structure reconstruction problem in cryoelectron micro...
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Multitarget detection with application to cryoelectron microscopy
We consider the multitarget detection problem of recovering a set of si...
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Toward single particle reconstruction without particle picking: Breaking the detection limit
Singleparticle cryoelectron microscopy (cryoEM) has recently joined X...
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Smoothed analysis of the lowrank approach for smooth semidefinite programs
We consider semidefinite programs (SDPs) of size n with equality constra...
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Smoothed analysis for lowrank solutions to semidefinite programs in quadratic penalty form
Semidefinite programs (SDP) are important in learning and combinatorial ...
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3D ab initio modeling in cryoEM by autocorrelation analysis
SingleParticle Reconstruction (SPR) in CryoElectron Microscopy (cryoE...
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A Riemannian lowrank method for optimization over semidefinite matrices with blockdiagonal constraints
We propose a new algorithm to solve optimization problems of the form f...
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Manopt, a Matlab toolbox for optimization on manifolds
Optimization on manifolds is a rapidly developing branch of nonlinear op...
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Nicolas Boumal
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