Global optimization with orthogonality constraints via stochastic diffusion on manifold
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Publication:2316261
DOI10.1007/s10915-019-00971-wzbMath1418.90206arXiv1707.02126OpenAlexW3101059468WikidataQ127871294 ScholiaQ127871294MaRDI QIDQ2316261
Rongjie Lai, Xiaoyi Gu, Honglin Yuan, ZaiWen Wen
Publication date: 26 July 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.02126
global optimizationstochastic differential equationsorthogonality constrained optimizationstochastic diffusion on manifold
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Manifolds and measure-geometric topics (49Q99)
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Cites Work
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- A feasible method for optimization with orthogonality constraints
- Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization
- Global optimization and stochastic differential equations
- Convergence analysis of a global optimization algorithm using stochastic differential equations
- Linearly constrained global optimization and stochastic differential equations
- Global optimization using diffusion perturbations with large noise intensity
- An algorithm for the global optimization of a class of continuous minimax problems
- Global optimization of robust chance constrained problems
- Runge-Kutta methods on Lie groups
- Data-driven tight frame construction and image denoising
- Adaptive Regularized Self-Consistent Field Iteration with Exact Hessian for Electronic Structure Calculation
- Three-Dimensional Structure Determination from Common Lines in Cryo-EM by Eigenvectors and Semidefinite Programming
- A Curvilinear Search Method for p-Harmonic Flows on Spheres
- Sphere-packing bounds in the Grassmann and Stiefel manifolds
- Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations
- Stochastic Lie Group Integrators
- Diffusions for Global Optimization
- Diffusion for Global Optimization in $\mathbb{R}^n $
- Two-Point Step Size Gradient Methods
- Relaxation Methods for Liquid Crystal Problems
- The Geometry of Algorithms with Orthogonality Constraints
- Color image enhancement via chromaticity diffusion
- A Spectral Bundle Method for Semidefinite Programming
- Trust, But Verify: Fast and Accurate Signal Recovery From 1-Bit Compressive Measurements
- $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
- Numerical Methods forp-Harmonic Flows and Applications to Image Processing
- Compressed modes for variational problems in mathematics and physics
- Maxima for Graphs and a New Proof of a Theorem of Turán
- Geometric Numerical Integration
- On the Analysis of the Discretized Kohn--Sham Density Functional Theory
- A New Representation for Stochastic Integrals and Equations
- Optimal Transport
- Stochastic differential equations. An introduction with applications.