Theory of Connections Applied to Support Vector Machines to Solve Differential Equations. - Carl Leake; Hunter Johnston; Lidia Smith; Daniele Mortari (CoRR, 2018)

Deep ToC: A New Method for Estimating the Solutions of PDEs. - Carl Leake (CoRR, 2018)

Random Sampling Using $k$k-Vector. - David Arnas; Carl Leake; Daniele Mortari (Comput. Sci. Eng., 2019)

Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines Using the Theory of Functional Connections. - Carl Leake; Hunter Johnston; Lidia Smith; Daniele Mortari (Mach. Learn. Knowl. Extr., 2019)

The n-dimensional k-vector and its application to orthogonal range searching. - David Arnas; Carl Leake; Daniele Mortari (Appl. Math. Comput., 2020)

Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections. - Hunter Johnston; Carl Leake; Daniele Mortari (CoRR, 2020)

The n-dimensional k-vector and its application to orthogonal range searching. - David Arnas; Carl Leake; Daniele Mortari (CoRR, 2020)

Random Sampling using k-vector. - David Arnas; Carl Leake; Daniele Mortari (CoRR, 2020)

Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for Solving Parametric Differential Equations. - Enrico Schiassi; Carl Leake; Mario De Florio; Hunter Johnston; Roberto Furfaro; Daniele Mortari (CoRR, 2020)

The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations. - Carl Leake; Hunter Johnston; Daniele Mortari (CoRR, 2020)

Motivations and Preliminary Design for Mid-Air Deployment of a Science Rotorcraft on Mars. - Jeff Delaune; Jacob S. Izraelevitz; Larry A. Young; William Rapin; Evgeniy Sklyanskiy; Wayne Johnson; Aaron Schutte; Abigail Fraeman; Valerie Scott; Carl Leake; Erik Ballesteros; Shannah Withrow; et al. (CoRR, 2020)

Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations. - Carl Leake; Daniele Mortari (Mach. Learn. Knowl. Extr., 2020)

Non-Dimensional Star-Identification. - Carl Leake; David Arnas; Daniele Mortari (Sensors, 2020)

Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations. - Enrico Schiassi; Roberto Furfaro; Carl Leake; Mario De Florio; Hunter Johnston; Daniele Mortari (Neurocomputing, 2021)

EELS: Towards Autonomous Mobility in Extreme Terrain with a Versatile Snake Robot with Resilience to Exteroception Failures. - Rohan Thakker; Michael Paton; Marlin P. Strub; R. Michael Swan; Guglielmo Daddi; Rob Royce; L. Phillipe Tosi; Matthew Gildner; Tiago Vaquero; Marcel Veismann; Peter V. Gavrilov; Eloise Marteau; et al. (IROS, 2023)

Flight Demonstration and Model Validation of a Prototype Variable-Altitude Venus Aerobot. - Jacob S. Izraelevitz; Siddharth Krishnamoorthy; Ashish Goel; Caleb Turner; Carolina Aiazzi; Michael T. Pauken; Kevin Carlson; Gerald Walsh; Carl Leake; Carlos Quintana; Christopher Lim; Abhinandan Jain; et al. (CoRR, 2024)

EELS: Autonomous snake-like robot with task and motion planning capabilities for ice world exploration. - Tiago Stegun Vaquero; Guglielmo Daddi; Rohan Thakker; Michael Paton; Ashkan Jasour; Marlin P. Strub; R. Michael Swan; Rob Royce; Matthew Gildner; L. Phillipe Tosi; Marcel Veismann; Peter V. Gavrilov; et al. (Sci. Robotics, 2024)