4 papers
A Novel First-order Method with Event-driven Objective Evaluations
Christian Varner, Vivak Patel
Arising in semi-parametric statistics, control applications, and as sub-problems in global optimization methods, certain optimization problems can have objective functions requirin…
Recent Advances in Non-convex Smoothness Conditions and Applicability to Deep Linear Neural Networks
Vivak Patel, Christian Varner
The presence of non-convexity in smooth optimization problems arising from deep learning have sparked new smoothness conditions in the literature and corresponding convergence anal…
The Challenges of Optimization For Data Science
Christian Varner, Vivak Patel
Optimization problems arising in data science have given rise to a number of new derivative-based optimization methods. Such methods often use standard smoothness assumptions -- na…
A Novel Gradient Methodology with Economical Objective Function Evaluations for Data Science Applications
Christian Varner, Vivak Patel
Gradient methods are experiencing a growth in methodological and theoretical developments owing to the challenges posed by optimization problems arising in data science. However, s…