Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient
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Publication:1711864
DOI10.3934/eect.2018018zbMath1407.37125OpenAlexW2774919904MaRDI QIDQ1711864
Alexandre Cabot, Hassan Riahi, Zaki Chbani, Hedy Attouch
Publication date: 18 January 2019
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2018018
convex optimizationasymptotic stabilizationLyapunov analysisfast gradient methodinertial gradient dynamicstime-dependent viscosity
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Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- Asymptotic for the perturbed heavy ball system with vanishing damping term
- Asymptotics for some semilinear hyperbolic equations with non-autonomous damping
- Introductory lectures on convex optimization. A basic course.
- Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
- Performance of first-order methods for smooth convex minimization: a novel approach
- Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS*
- The Remarkable Effectiveness of Time-Dependent Damping Terms for Second Order Evolution Equations
- Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
- The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Accelerated and Inexact Forward-Backward Algorithms
- Stability of Over-Relaxations for the Forward-Backward Algorithm, Application to FISTA
- On the Long Time Behavior of Second Order Differential Equations with Asymptotically Small Dissipation
- On the long time behavior of second order differential equations with asymptotically small dissipation
- The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$
- Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
- Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
- Asymptotics for a second-order differential equation with nonautonomous damping and an integrable source term
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