The exact information-based complexity of smooth convex minimization
From MaRDI portal
Publication:511109
DOI10.1016/j.jco.2016.11.001zbMath1357.68072arXiv1606.01424OpenAlexW2963385703MaRDI QIDQ511109
Publication date: 14 February 2017
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.01424
Convex programming (90C25) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)
Related Items (19)
Optimal complexity and certification of Bregman first-order methods ⋮ On the Properties of Convex Functions over Open Sets ⋮ Generalizing the Optimized Gradient Method for Smooth Convex Minimization ⋮ Adaptive restart of the optimized gradient method for convex optimization ⋮ Exact worst-case convergence rates of the proximal gradient method for composite convex minimization ⋮ Potential Function-Based Framework for Minimizing Gradients in Convex and Min-Max Optimization ⋮ An optimal gradient method for smooth strongly convex minimization ⋮ Factor-\(\sqrt{2}\) acceleration of accelerated gradient methods ⋮ Branch-and-bound performance estimation programming: a unified methodology for constructing optimal optimization methods ⋮ Another Look at the Fast Iterative Shrinkage/Thresholding Algorithm (FISTA) ⋮ Efficient first-order methods for convex minimization: a constructive approach ⋮ Operator Splitting Performance Estimation: Tight Contraction Factors and Optimal Parameter Selection ⋮ On the convergence analysis of the optimized gradient method ⋮ Optimizing the efficiency of first-order methods for decreasing the gradient of smooth convex functions ⋮ Some worst-case datasets of deterministic first-order methods for solving binary logistic regression ⋮ On the oracle complexity of smooth strongly convex minimization ⋮ Fully polynomial time \((\Sigma,\Pi)\)-approximation schemes for continuous nonlinear newsvendor and continuous stochastic dynamic programs ⋮ Bilevel Methods for Image Reconstruction ⋮ Exact Worst-Case Performance of First-Order Methods for Composite Convex Optimization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimized first-order methods for smooth convex minimization
- An optimal variant of Kelley's cutting-plane method
- On lower complexity bounds for large-scale smooth convex optimization
- Information-based complexity of linear operator equations
- Introductory lectures on convex optimization. A basic course.
- Performance of first-order methods for smooth convex minimization: a novel approach
- Information-Theoretic Lower Bounds on the Oracle Complexity of Stochastic Convex Optimization
- Information-Based Complexity, Feedback and Dynamics in Convex Programming
This page was built for publication: The exact information-based complexity of smooth convex minimization