Multiscale Analysis of Accelerated Gradient Methods

DOI10.1137/18M1203997zbMath1450.90027arXiv1807.11354OpenAlexW3080145849MaRDI QIDQ5124000

Mohammad Farazmand

Publication date: 17 September 2020

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11354

zbMATH Keywords

convex optimizationinvariant manifoldssingular perturbation theoryaccelerated gradient methods

Mathematics Subject Classification ID

Convex programming (90C25) Methods of reduced gradient type (90C52)

Cites Work

• Attractors for infinite-dimensional non-autonomous dynamical systems
• Multiple time scale dynamics
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• Geometric singular perturbation theory for ordinary differential equations
• Normally hyperbolic invariant manifolds in dynamical systems
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• A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
• An adjoint-based approach for finding invariant solutions of Navier–Stokes equations
• Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints
• The fundamental theorem of algebra and complexity theory
• A variational perspective on accelerated methods in optimization
• Some methods of speeding up the convergence of iteration methods
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