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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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2 results for “M-NAG”

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithmsmath.OC

This paper analyzes and improves monotonic accelerated algorithms like M-NAG and M-FISTA.

problem Establishing linear convergence of M-NAG and M-FISTA under strong convexity.

method Lyapunov analysis and modified Lyapunov functions.

result Linear convergence of M-NAG and M-FISTA is guaranteed without full NAG iterates.

Lyapunov analysis Monotonic algorithms Accelerated gradient methods M-NAG M-FISTA

2024-12-18abs ↗pdf ↗

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithmsmath.OC

A new family of momentum coefficients improves the convergence rate of accelerated algorithms.

problem Improving the convergence rate of accelerated gradient methods for strongly convex functions.

method Introducing a family of controllable momentum coefficients for forward-backward accelerated methods.

result Established a controllable $O\left(1/k^{2α} ight)$ convergence rate for the NAG-

α

method.

accelerated gradient methods momentum coefficients forward-backward methods convergence rates strongly convex functions

2025-01-17abs ↗pdf ↗