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Using Neural Networks to Detect Line Outages from PMU Data
Ching-pei Lee, Stephen J. Wright
We propose an approach based on neural networks and the AC power flow equations to identify single- and double-line outages in a power grid using the information from phasor measur…
Behavior of Accelerated Gradient Methods Near Critical Points of Nonconvex Functions
Michael O'Neill, Stephen J. Wright
We examine the behavior of accelerated gradient methods in smooth nonconvex unconstrained optimization, focusing in particular on their behavior near strict saddle points. Accelera…
Complexity analysis of second-order line-search algorithms for smooth nonconvex optimization
Clément W. Royer, Stephen J. Wright
There has been much recent interest in finding unconstrained local minima of smooth functions, due in part of the prevalence of such problems in machine learning and robust statist…
Analyzing Random Permutations for Cyclic Coordinate Descent
Stephen J. Wright, Ching-Pei Lee
We consider coordinate descent methods on convex quadratic problems, in which exact line searches are performed at each iteration. (This algorithm is identical to Gauss-Seidel on t…