Anisotropic Diffusion in Consensus-Based Optimization on the Sphere
暂无分享,去创建一个
Lorenzo Pareschi | Massimo Fornasier | Philippe Sunnen | Hui Huang | M. Fornasier | L. Pareschi | Hui-Lin Huang | Philippe Sünnen
[1] Marie-Therese Wolfram,et al. Consensus-based global optimization with personal best. , 2020, Mathematical biosciences and engineering : MBE.
[2] Levent Tunçel,et al. Optimization algorithms on matrix manifolds , 2009, Math. Comput..
[3] John L. Nazareth,et al. Introduction to derivative-free optimization , 2010, Math. Comput..
[4] Shi Jin,et al. A consensus-based global optimization method for high dimensional machine learning problems , 2019 .
[5] I. Couzin,et al. Collective memory and spatial sorting in animal groups. , 2002, Journal of theoretical biology.
[6] M. Fornasier,et al. Consensus-based optimization on hypersurfaces: Well-posedness and mean-field limit , 2020, Mathematical Models and Methods in Applied Sciences.
[7] Jos'e A. Carrillo,et al. An analytical framework for a consensus-based global optimization method , 2016, 1602.00220.
[8] Lei Li,et al. Random Batch Methods (RBM) for interacting particle systems , 2018, J. Comput. Phys..
[9] Massimo Fornasier,et al. Stable Recovery of Entangled Weights: Towards Robust Identification of Deep Neural Networks from Minimal Samples , 2021, Applied and Computational Harmonic Analysis.
[10] B Y Gu,et al. Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a comparison. , 1994, Applied optics.
[11] Marco Dorigo,et al. Ant colony optimization theory: A survey , 2005, Theor. Comput. Sci..
[12] Gilad Lerman,et al. A Well-Tempered Landscape for Non-convex Robust Subspace Recovery , 2017, J. Mach. Learn. Res..
[13] Jorge Nocedal,et al. Wedge trust region methods for derivative free optimization , 2002, Math. Program..
[14] E. Platen. An introduction to numerical methods for stochastic differential equations , 1999, Acta Numerica.
[15] Flagot Yohannes. Derivative free optimization methods , 2012 .
[16] M. J. D. Powell,et al. UOBYQA: unconstrained optimization by quadratic approximation , 2002, Math. Program..
[17] Riccardo Poli,et al. Particle swarm optimization , 1995, Swarm Intelligence.
[18] D. Stroock,et al. Simulated annealing via Sobolev inequalities , 1988 .
[19] Xiaodong Li,et al. Phase Retrieval via Wirtinger Flow: Theory and Algorithms , 2014, IEEE Transactions on Information Theory.
[20] Vicsek,et al. Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.
[21] Seung-Yeal Ha,et al. A Stochastic Consensus Method for Nonconvex Optimization on the Stiefel Manifold , 2020, 2020 59th IEEE Conference on Decision and Control (CDC).
[22] Gilad Lerman,et al. Fast, Robust and Non-convex Subspace Recovery , 2014, 1406.6145.
[23] Pierre Degond,et al. Continuum limit of self-driven particles with orientation interaction , 2007, 0710.0293.
[24] Zaikun Zhang,et al. Sobolev seminorm of quadratic functions with applications to derivative-free optimization , 2011, Math. Program..
[25] Pierre-Antoine Absil,et al. A Collection of Nonsmooth Riemannian Optimization Problems , 2019, Nonsmooth Optimization and Its Applications.
[26] Xiaojun Chen,et al. Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere , 2018, SIAM J. Imaging Sci..
[27] Yonina C. Eldar,et al. Phase Retrieval via Matrix Completion , 2011, SIAM Rev..
[28] R. Fetecau,et al. Propagation of chaos for the Keller–Segel equation over bounded domains , 2018, Journal of Differential Equations.
[29] Lorenzo Pareschi,et al. From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit , 2020, Mathematical Models and Methods in Applied Sciences.
[30] Jian-Guo Liu,et al. Dynamics in a Kinetic Model of Oriented Particles with Phase Transition , 2011, SIAM J. Math. Anal..
[31] Doheon Kim,et al. Convergence and error estimates for time-discrete consensus-based optimization algorithms , 2020, Numerische Mathematik.
[32] Joel A. Tropp,et al. Robust Computation of Linear Models by Convex Relaxation , 2012, Foundations of Computational Mathematics.
[33] J R Fienup,et al. Phase retrieval algorithms: a comparison. , 1982, Applied optics.
[34] Joao M. Pereira,et al. Subspace power method for symmetric tensor decomposition and generalized PCA , 2019, ArXiv.
[35] R. Pinnau,et al. A consensus-based model for global optimization and its mean-field limit , 2016, 1604.05648.
[36] Katya Scheinberg,et al. Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization , 2012, Mathematical Programming.
[37] Lorenzo Pareschi,et al. Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics , 2012, Multiscale Model. Simul..
[38] G. Marsaglia. Choosing a Point from the Surface of a Sphere , 1972 .
[39] A. Sznitman. Topics in propagation of chaos , 1991 .
[40] John A. Nelder,et al. A Simplex Method for Function Minimization , 1965, Comput. J..
[41] Andrew M. Stuart,et al. Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations , 2002, SIAM J. Numer. Anal..
[42] Shai Dekel,et al. Super-Resolution on the Sphere Using Convex Optimization , 2014, IEEE Transactions on Signal Processing.
[43] R. Durrett. Stochastic Calculus: A Practical Introduction , 1996 .
[44] Mervin E. Muller,et al. A note on a method for generating points uniformly on n-dimensional spheres , 1959, CACM.
[45] Yuxin Chen,et al. Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval , 2018, Mathematical Programming.
[46] Xin-She Yang,et al. A literature survey of benchmark functions for global optimisation problems , 2013, Int. J. Math. Model. Numer. Optimisation.
[47] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[48] R. Gerchberg. A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .
[49] L. Cooper,et al. Optimal location on a sphere , 1980 .
[50] Liqun Qi,et al. Eigenvalues of a real supersymmetric tensor , 2005, J. Symb. Comput..
[51] Wilma A. Bainbridge,et al. The intrinsic memorability of face photographs. , 2013, Journal of experimental psychology. General.