414 citations
- University of California, Santa CruzUS13 papers
- Western Norway University of Applied SciencesNO12 papers
- Lawrence Livermore National LaboratoryUS8 papers
- Stanford UniversityUS8 papers
- Indian Institute of Technology JammuIN7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- University of VirginiaUS6 papers
- Imperial College LondonGB5 papers
- The University of Texas at AustinUS5 papers
- University of MichiganUS5 papers
- American UniversityUS4 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR4 papers
35 papers · 1 filter
Nechvile-Transformed Spacecraft Dynamics and Propellant Computation in the 3-Body Problem
Michael J. Dixon, Isaac M. Ross
The uncontrolled equations of motion in the Nechvile frame for the restricted three-body problem have been well-known since at least the 1960s. It would seem that adding an externa…
On The Mathematics of the Natural Physics of Optimization
I. M. Ross
A number of optimization algorithms have been inspired by the physics of Newtonian motion. Here, we ask the question: do algorithms themselves obey some ``natural laws of motion,''…
Saddle Point Evasion via Curvature-Regularized Gradient Dynamics
Liraz Mudrik, Isaac Kaminer, Sean Kragelund +1
Nonconvex optimization underlies many modern machine learning and control tasks, where saddle points pose the dominant obstacle to reliable convergence in high-dimensional settings…
A Review of Pseudospectral Optimal Control: From Theory to Flight
I. M. Ross, M. Karpenko
The home space for optimal control is a Sobolev space. The home space for pseudospectral theory is also a Sobolev space. It thus seems natural to combine pseudospectral theory with…
Hessians in Birkhoff-Theoretic Trajectory Optimization
I. M. Ross
This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the ei…
Tropical Fréchet Means: a polyhedral approach to exact optimization
Kamillo Ferry, Bo Lin, Carlos Améndola +2
The Fréchet mean is a fundamental notion of central tendency defined as a minimizer of a sum of squared distances in a general metric space. In this paper, we study Fréchet means i…