Anisotropic Diffusion in Consensus-Based Optimization on the Sphere
DOI10.1137/21M140941XWikidataQ114074068 ScholiaQ114074068MaRDI QIDQ5097020
Hui Huang, Philippe Sünnen, Massimo Fornasier, Lorenzo Pareschi
Publication date: 19 August 2022
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.00420
Fokker-Planck equationssignal processingmachine learninggeometric optimizationderivative-free optimizationhigh-dimensional optimizationconsensus-based optimizationanisotropic stochastic Kuramoto-Vicsek model
Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10) Fokker-Planck equations (35Q84) PDEs in connection with mathematical programming (35Q90)
Related Items (5)
Cites Work
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- A literature survey of benchmark functions for global optimisation problems
- Sobolev seminorm of quadratic functions with applications to derivative-free optimization
- Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization
- Optimal location on a sphere
- Elliptic partial differential equations of second order
- Mean field control hierarchy
- UOBYQA: unconstrained optimization by quadratic approximation
- Convergence and error estimates for time-discrete consensus-based optimization algorithms
- Consensus-based global optimization with personal best
- Random batch methods (RBM) for interacting particle systems
- A collection of nonsmooth Riemannian optimization problems
- Robust computation of linear models by convex relaxation
- Propagation of chaos for the Keller-Segel equation over bounded domains
- Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval
- Eigenvalues of a real supersymmetric tensor
- Ant colony optimization theory: a survey
- Dynamics in a Kinetic Model of Oriented Particles with Phase Transition
- A consensus-based model for global optimization and its mean-field limit
- Phase Retrieval via Wirtinger Flow: Theory and Algorithms
- A note on a method for generating points uniformly on n -dimensional spheres
- Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- Introduction to Derivative-Free Optimization
- An analytical framework for consensus-based global optimization method
- Super-Resolution on the Sphere Using Convex Optimization
- A Well-Tempered Landscape for Non-convex Robust Subspace Recovery
- Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Stochastic Calculus
- A consensus-based global optimization method for high dimensional machine learning problems
- Zero-Inertia Limit: From Particle Swarm Optimization to Consensus-Based Optimization
- From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit
- Derivative-free optimization methods
- Fast, robust and non-convex subspace recovery
- Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
- A Simplex Method for Function Minimization
- Choosing a Point from the Surface of a Sphere
- Phase Retrieval via Matrix Completion
- Wedge trust region method for derivative free optimization.
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