arXiv (OAI Expanded)
open access
The Iterates of Nesterov's Accelerated Algorithm Converge in The Critical Regimes
In this paper, we prove that the iterates of the accelerated Nesterov's algorithm in the critical regime do converge in the weak topology to a global minimizer of an $L$-smooth function in a real Hilbert space, hence answering positively a conjecture posed by H. Attouch and co-authors a decade ago.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Stable Density Ridges: Consistency and Convergence of Subspace Constrained Mean Shift#429349
- Convergence Rate Analysis for Monotone Accelerated Proximal Gradient Method#629792
- Convergence Rate Analysis for Monotone Accelerated Proximal Gradient Method#627930
- Higher order pointwise estimates for intermediate derivative#1109249
- Sharp $L^2$-Caffarelli--Kohn--Nirenberg and weighted Poincaré inequalities on half-spaces and orthants and their stability#625356
Record · ID 1108962
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive