2024
EELS: Autonomous snake-like robot with task and motion planning capabilities for ice world exploration.
Sci. Robotics, 2024

Flight Demonstration and Model Validation of a Prototype Variable-Altitude Venus Aerobot.
CoRR, 2024

2023
EELS: Towards Autonomous Mobility in Extreme Terrain with a Versatile Snake Robot with Resilience to Exteroception Failures.
IROS, 2023

2021
Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations.
Neurocomputing, 2021

2020
Non-Dimensional Star-Identification.
Sensors, 2020

Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations.
Mach. Learn. Knowl. Extr., 2020

Motivations and Preliminary Design for Mid-Air Deployment of a Science Rotorcraft on Mars.
CoRR, 2020

The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations.
CoRR, 2020

Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for Solving Parametric Differential Equations.
CoRR, 2020

Random Sampling using k-vector.
CoRR, 2020

The n-dimensional k-vector and its application to orthogonal range searching.
CoRR, 2020

Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections.
CoRR, 2020

The <i>n</i>-dimensional <i>k</i>-vector and its application to orthogonal range searching.
Appl. Math. Comput., 2020

2019
Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines Using the Theory of Functional Connections.
Mach. Learn. Knowl. Extr., 2019

Random Sampling Using $k$k-Vector.
Comput. Sci. Eng., 2019

2018
Deep ToC: A New Method for Estimating the Solutions of PDEs.
CoRR, 2018

Theory of Connections Applied to Support Vector Machines to Solve Differential Equations.
CoRR, 2018