3 papers
cs.RO2026
Solving Geodesic Equations with Composite Bernstein Polynomials for Trajectory Planning
Nick Gorman, Gage MacLin, Maxwell Hammond +1
This work presents a trajectory planning method based on composite Bernstein polynomials for autonomous systems navigating complex environments. The method is implemented in a symb…
math.OC2025
Real-Time Optimal Control via Transformer Networks and Bernstein Polynomials
Gage MacLin, Venanzio Cichella, Andrew Patterson +1
In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal contr…
math.OC2025
Solutions to Differential Algebraic Inequalities with Composite Bernstein Polynomials
Maxwell Hammond, Gage MacLin, Laurent Jay +1
The Bernstein polynomial basis sees significant use owing to its unique properties, particularly in the field of optimal control. However, the basis is known to have a slow rate of…