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[1] Michael I. Jordan,et al. Understanding the acceleration phenomenon via high-resolution differential equations , 2018, Mathematical Programming.
[2] C. Botsaris. Differential gradient methods , 1978 .
[3] M. Bartholomew-Biggs,et al. Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations , 1989 .
[4] Antonio Orvieto,et al. Shadowing Properties of Optimization Algorithms , 2019, NeurIPS.
[5] Andre Wibisono,et al. A variational perspective on accelerated methods in optimization , 2016, Proceedings of the National Academy of Sciences.
[6] Michael I. Jordan,et al. A Dynamical Systems Perspective on Nesterov Acceleration , 2019, ICML.
[7] Andrew Zisserman,et al. Very Deep Convolutional Networks for Large-Scale Image Recognition , 2014, ICLR.
[8] Aleksej F. Filippov,et al. Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.
[9] Benjamin Recht,et al. Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints , 2014, SIAM J. Optim..
[10] C. Botsaris,et al. A class of methods for unconstrained minimization based on stable numerical integration techniques , 1978 .
[11] The use of differential equations in optimization , 1981 .
[12] Alexandre d'Aspremont,et al. Integration Methods and Optimization Algorithms , 2017, NIPS.
[13] Jian Sun,et al. Deep Residual Learning for Image Recognition , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).
[14] Sanjay P. Bhat,et al. Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria , 2009, IEEE Transactions on Automatic Control.
[15] Daniel P. Robinson,et al. A Dynamical Systems Perspective on Nonsmooth Constrained Optimization , 2018 .
[16] Jorge Cortés,et al. Finite-time convergent gradient flows with applications to network consensus , 2006, Autom..
[17] Daniel P. Robinson,et al. Conformal symplectic and relativistic optimization , 2019, NeurIPS.
[18] Francesco Bullo,et al. Coordination and Geometric Optimization via Distributed Dynamical Systems , 2003, SIAM J. Control. Optim..
[19] Ashia Wilson,et al. Lyapunov Arguments in Optimization , 2018 .
[20] J. Snyman. A new and dynamic method for unconstrained minimization , 1982 .
[21] F. Clarke. Generalized gradients of Lipschitz functionals , 1981 .
[22] Alejandro Ribeiro,et al. Analysis of Optimization Algorithms via Integral Quadratic Constraints: Nonstrongly Convex Problems , 2017, SIAM J. Optim..
[23] Manfred Morari,et al. Design of First-Order Optimization Algorithms via Sum-of-Squares Programming , 2018, 2018 IEEE Conference on Decision and Control (CDC).
[24] A. Bacciotti,et al. Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions , 1999 .
[25] Andre Wibisono,et al. Accelerating Rescaled Gradient Descent: Fast Optimization of Smooth Functions , 2019, NeurIPS.
[26] Jan A. Snyman. An improved version of the original leap-frog dynamic method for unconstrained minimization: LFOP1(b) , 1983 .
[27] Jimmy Ba,et al. Adam: A Method for Stochastic Optimization , 2014, ICLR.
[28] U. Helmke,et al. Optimization and Dynamical Systems , 1994, Proceedings of the IEEE.
[29] Ricardo G. Sanfelice,et al. Dynamical properties of hybrid systems simulators , 2010, Autom..
[30] Shankar Sastry,et al. A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators , 1986, 1986 25th IEEE Conference on Decision and Control.
[31] Mouhacine Benosman,et al. Finite-Time Convergence in Continuous-Time Optimization , 2020, ICML.
[32] Sérgio Pequito,et al. Convergence of the Expectation-Maximization Algorithm Through Discrete-Time Lyapunov Stability Theory , 2018, 2019 American Control Conference (ACC).
[33] J. Cortés. Discontinuous dynamical systems , 2008, IEEE Control Systems.
[34] Aryan Mokhtari,et al. Direct Runge-Kutta Discretization Achieves Acceleration , 2018, NeurIPS.
[35] Daniel P. Robinson,et al. ADMM and Accelerated ADMM as Continuous Dynamical Systems , 2018, ICML.
[36] Alejandro Ribeiro,et al. A variational approach to dual methods for constrained convex optimization , 2017, 2017 American Control Conference (ACC).
[37] A. Bountis. Dynamical Systems And Numerical Analysis , 1997, IEEE Computational Science and Engineering.
[38] Johannes Schropp,et al. Using dynamical systems methods to solve minimization problems , 1995 .
[39] Stephen P. Boyd,et al. A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights , 2014, J. Mach. Learn. Res..
[40] Bryan Van Scoy,et al. Lyapunov Functions for First-Order Methods: Tight Automated Convergence Guarantees , 2018, ICML.
[41] R. Brockett,et al. Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[42] Jing Wang,et al. A control perspective for centralized and distributed convex optimization , 2011, IEEE Conference on Decision and Control and European Control Conference.
[43] J. Schropp,et al. A dynamical systems approach to constrained minimization , 2000 .