Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations E Schiassi, R Furfaro, C Leake, M De Florio, H Johnston, D Mortari Neurocomputing 457, 334-356, 2021 | 148* | 2021 |
Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations C Leake, D Mortari Machine Learning and Knowledge Extraction 2 (1), 37-55, 2020 | 81 | 2020 |
The Multivariate Theory of Connections D Mortari, C Leake Mathematics 7 (3), 296, 2019 | 47 | 2019 |
The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations C Leake, H Johnston, D Mortari Mathematics 8 (8), 1303, 2020 | 44 | 2020 |
Analytically Embedding Differential Equation Constraints into Least Squares Support Vector Machines Using the Theory of Functional Connections C Leake, H Johnston, L Smith, D Mortari Machine Learning and Knowledge Extraction 1 (4), 1058-1083, 2019 | 29 | 2019 |
The Theory of Functional Connections: A Functional Interpolation Framework with Applications C Leake, H Johnson, D Mortari Lulu. com, 2022 | 22* | 2022 |
Analysis of Timoshenko–Ehrenfest beam problems using the Theory of Functional Connections C Yassopoulos, C Leake, JN Reddy, D Mortari Engineering Analysis with Boundary Elements 132, 271-280, 2021 | 18 | 2021 |
Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding H Johnston, C Leake, Y Efendiev, D Mortari Mathematics 7 (6), 537, 2019 | 17 | 2019 |
Fast 2-impulse non-Keplerian orbit transfer using the Theory of Functional Connections AK de Almeida Junior, H Johnston, C Leake, D Mortari The European Physical Journal Plus 136 (2), 1-21, 2021 | 16 | 2021 |
The Multivariate Theory of Functional Connections: An N-Dimensional Constraint Embedding Technique Applied to Partial Differential Equations CD Leake Texas A&M University, 2021 | 16 | 2021 |
Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections H Johnston, C Leake, D Mortari Mathematics 8 (3), 397, 2020 | 16 | 2020 |
TFC: A functional interpolation framework C Leake, H Johnston https://github.com/leakec/tfc, 2020 | 16* | 2020 |
An Explanation and Implementation of Multivariate Theory of Functional Connections via Examples C Leake, D Mortari AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, USA 19 (734 …, 2019 | 16 | 2019 |
Non-dimensional Star-Identification C Leake, D Arnas, D Mortari Sensors 20 (9), 2697, 2020 | 7 | 2020 |
EELS: Towards Autonomous Mobility in Extreme Terrain with a Versatile Snake Robot with Resilience to Exteroception Failures R Thakker, M Paton, MP Strub, M Swan, G Daddi, R Royce, P Tosi, ... 2023 IEEE/RSJ International Conference on Intelligent Robots and Systems …, 2023 | 6 | 2023 |
The n-dimensional k-vector and its application to orthogonal range searching D Arnas, C Leake, D Mortari Applied Mathematics and Computation 372, 125010, 2020 | 6 | 2020 |
Random Sampling Using k-Vector D Arnas, C Leake, D Mortari Computing in Science & Engineering 21 (1), 94-107, 2019 | 5 | 2019 |
EELS: Autonomous snake-like robot with task and motion planning capabilities for ice world exploration TS Vaquero, G Daddi, R Thakker, M Paton, A Jasour, MP Strub, RM Swan, ... Science Robotics 9 (88), eadh8332, 2024 | 4 | 2024 |
Motivations and Preliminary Design for Mid-Air Deployment of a Science Rotorcraft on Mars J Delaune, J Izraelevitz, LA Young, W Rapin, E Sklyanskiy, W Johnson, ... arXiv preprint arXiv:2010.06630, 2020 | 4 | 2020 |
Evaluation of Transfer Costs in the Earth-Moon System Using the Theory of Functional Connections AK de Almeida Junior, H Johnston, C Leake, D Mortari AAS/AIAA Astrodynamics Specialist Conference, South Lake Tahoe, CA, USA, 2020 | 3 | 2020 |