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A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad, Shampoo and Muon
Serge Gratton
,
Philippe Toint
Namur Institute for Complex Systems
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Dive into the research topics of 'A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad, Shampoo and Muon'. Together they form a unique fingerprint.
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Keyphrases
Non-convexity
100%
Convergence Theory
100%
First-order Methods
100%
Convergence Analysis
100%
Adagrad
100%
Muon
100%
Popular
50%
Nonconvex Optimization
50%
Unified Framework
50%
Heterogeneous Geometry
50%
Global Rate of Convergence
50%
Oracle
50%
First-order Optimization Method
50%
Stochastic Gradient
50%
Preconditioned Gradient
50%
Mathematics
Convergence Analysis
100%
Diagonal
100%
Stochastics
100%
Nonconvex Case
100%
Unconstrained Optimization
50%
Rate of Convergence
50%
INIS
convergence
100%
muons
100%
optimization
66%
stochastic processes
66%
algorithms
33%
geometry
33%