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We improve recently introduced consensus-based optimization method, proposed in [R.
A theorem on the asymptotic behavior of a multiple integral
L. C. Hsu · 1948
Earlier work this paper cites.
A stochastic approximation method
Herbert Robbins and Sutton Monro · 1951
Earlier work this paper cites.
A simplex method for function minimization
John A Nelder and Roger Mead · 1965
Earlier work this paper cites.
Advanced Mathematical Methods for Scientists and Engineers
Carl M. Bender and Steven A. Orszag · 1978
Earlier work this paper cites.
Optimization by simulated annealing
Scott Kirkpatrick, C Daniel Gelatt and Mario P Vecchi · 1983
Earlier work this paper cites.
Error bounds for multidimensional Laplace approximation
J. P. McClure and R. Wong · 1983
Earlier work this paper cites.
Simulated annealing: theory and applications
Peter J. M. van Laarhoven and Emile H. L. Aarts · 1987
Earlier work this paper cites.
Asymptotics of the spectral gap with applications to the theory of simulated annealing
Richard A. Holley, Shigeo Kusuoka, and Daniel W. Stroock · 1989
Earlier work this paper cites.
Large-time behavior of perturbed diffusion Markov processes with applications to the second eigenvalue problem for Fokker-Planck operators and simulated annealing
Chii-Ruey Hwang and Shuenn-Jyi Sheu · 1990
Earlier work this paper cites.
Genetic algorithms
John H. Holland · 1992
Earlier work this paper cites.
Learning long-term dependencies with gradient descent is difficult
Yoshua Bengio, Patrice Simard and Paolo Frasconi · 1994
Earlier work this paper cites.
Particle swarm optimization
Russell Eberhart and James Kennedy · 1995
Earlier work this paper cites.
Online learning and stochastic approximations
Léon Bottou · 1998
Earlier work this paper cites.
Swarm intelligence, handbook of nature-inspired and innovative computing
James Kennedy · 2006
Earlier work this paper cites.
Applied asymptotic analysis
Peter D. Miller · 2006
Earlier work this paper cites.
Kinetic models of opinion formation
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On the mathematics of emergence
Felipe Cucker and Steve Smale · 2007
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N N -particles approximation of the Vlasov equations with singular potential
Maxime Hauray and Pierre-Emmanuel Jabin · 2007
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From particle to kinetic and hydrodynamic descriptions of flocking
Seung-Yeal Ha and Eitan Tadmor · 2008
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Large deviations techniques and applications, volume 38
Amir Dembo and Ofer Zeitouni · 2009
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Asymptotic flocking dynamics for the kinetic cucker-smale model
José A. Carrillo, Massimo Fornasier, Jesús Rosado, and Giuseppe Toscani · 2010
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Heterophilious dynamics enhances consensus
Sebastien Motsch and Eitan Tadmor · 2014
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Contagion shocks in one dimension
Andrea L. Bertozzi, Jesús Rosado, Martin B. Short, and Li Wang · 2015
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Convex optimization: algorithms and complexity
Sébastien Bubeck · 2015
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Three factors influencing minima in SGD
Stanislaw Jastrzebski, Zachary Kenton, Devansh Arpit, Nicolas Ballas, Asja Fischer, Yoshua Bengio and Amos Storkey · 2017
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On large-batch training for deep learning: generalization gap and sharp minima
Nitish S. Keskar, Dheevatsa Mudigere, Jorge Nocedal, Mikhail Smelyanskiy and Ping T.P. Tang · 2017
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A consensus-based model for global optimization and its mean-field limit
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José A. Carrillo, Massimo Fornasier, Giuseppe Toscani, and Francesco Vecil · 2010
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Stochastic mean-field limit: non-Lipschitz forces and swarming
François Bolley, José A. Cañizo, and José A. Carrillo · 2011
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Introduction to Multidisciplinary Design Optimization
Juan J. Alonso and Jason Hicken · 2012
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Binary interaction algorithms for the simulation of flocking and swarming dynamics
Giacomo Albi and Lorenzo Pareschi · 2013
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From the microscale to collective crowd dynamics
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Emergent behaviour in multi-particle systems with non-local interactions [Editorial]
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René Pinnau, Claudia Totzeck, Oliver Tse and Stephan Martin · 2017
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An analytical framework for consensus-based global optimization method
José A Carrillo, Young-Pil Choi, Claudia Totzeck and Oliver Tse · 2018
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Particle based gPC methods for mean-field models of swarming with uncertainty
José A. Carrillo, Lorenzo Pareschi, and Mattia Zanella · 2018
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Towards theoretical understanding of large batch training in stochastic gradient descent
Xiaowu Dai and Yuhua Zhu · 2018
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Which neural net architectures give rise to exploding and vanishing gradients?
Boris Hanin · 2018
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Quantitative estimates of propagation of chaos for stochastic systems with
Pierre-Emmanuel Jabin and Zhenfu Wang · 2018
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A numerical comparison of consensus-based global optimization to other particle-based global optimization schemes
Claudia Totzeck, René Pinnau, Sebastian Blauth, and Steffen Schotthófer · 2018
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Convergence of a first-order consensus-based global optimization algorithm
Seung-Yeal Ha, Shi Jin, and Doheon Kim · 2019
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Bad global minima exist and SGD can reach them
Shengchao Liu, Dimitris Papailiopoulos and Dimitris Achlioptas · 2019
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Random batch methods (RBM) for interacting particle systems
Shi Jin, Lei Li and Jian-Guo Liu · 2020
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