Luís Miguel Faustino Machado
Name: Luís Miguel Faustino Machado, Ph.D.
Position: Assistant Professor
Website: http://home.utad.pt/~lmiguel
Journals
L. Machado,
Knut Huper, Krzysztof Krakowski, F. Silva Leite,
Spherical triangular configurations with invariant geometric mean, Linear Algebra and its Applications, 2024
https://doi.org/10.1016/j.laa.2024.06.017
https://doi.org/10.1016/j.laa.2024.06.017
Conferences
L. Machado,
Margarida Camarinha, F. Silva Leite,
Swelling effect along Riemannian polynomials on SPD manifolds, "CONTROLO 2024: Proceedings of the 16th APCA International Conference on Automatic Control and Soft Computing, Porto, Portugal, 2024
https://link.springer.com/book/9783031817236
https://link.springer.com/book/9783031817236
Book Sections
Camarinha, L. Machado,
F. Silva Leite,
K-Splines on SPD Manifolds. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information, GSI 2023. Lecture Notes in Computer Science, vol 14072, Springer, Cham, 2023
https://doi.org/10.1007/978-3-031-38299-4_64
https://doi.org/10.1007/978-3-031-38299-4_64
Conferences
M. Camarinha, L. Machado,
F. Silva Leite,
K-splines on SPD manifolds, In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14072, Springer, Cham, 2023
https://doi.org/10.1007/978-3-031-38299-4_64
https://doi.org/10.1007/978-3-031-38299-4_64
M. Camarinha, L. Machado,
F. Silva Leite,
Generalizing Euclidean Splines to SPD manifolds (Best Poster Award), XXXI International Fall Workshop on Geometry and Physics, 2023
Conferences
L. Machado,
F. Silva Leite,
Best fitting geodesic going through the Riemannian mean, In: Brito Palma, L., Neves-Silva, R., Gomes, L. (eds) CONTROLO 2022. Lecture Notes in Electrical Engineering, vol 930, Springer, Cham, 2022
https://doi.org/10.1007/978-3-031-10047-5_35
https://doi.org/10.1007/978-3-031-10047-5_35
Journals
K. Krakowski, L. Machado,
F. Silva Leite,
A unifying approach for rolling symmetric spaces, Journal of Geometric Mechanics , 13(1), 145-166 , 2021
https://doi.org/10.3934/jgm.2020016
https://doi.org/10.3934/jgm.2020016
Conferences
L. Machado,
F. Silva Leite,
E. Batzies,
Geometric algorithm to generate interpolating splines on Grassmann and Stiefel manifolds (Best Scientific Paper Award), Proc. International Conference on Automatic Control and Soft Computing Computing (CONTROLO'2020), Volume 695, pp. 180-189, Springer Lecture Notes in Electrical Engineering, 2020
https://doi.org/10.1007/978-3-030-58653-9_17
https://doi.org/10.1007/978-3-030-58653-9_17
Journals
E. Girejko,
L. Machado,
A. Malinowska,
N. Martins,
On consensus in the Cucker–Smale type model on isolated time scales, Discrete and Continuous Dynamical Systems Series S, 11, no. 1, pp. 77-89, 2018
http://dx.doi.org/10.3934/dcdss.2018005
http://dx.doi.org/10.3934/dcdss.2018005
Conferences
L. Machado,
F. Silva Leite,
M. Monteiro,
Path planning trajectories in fluid environments, In Proc. International Conference on Automatic Control and Soft Computing, 219 - 223, IEEE Xplorer, Açores - Portugal, 2018
https://doi.org/10.1109/CONTROLO.2018.8514278
https://doi.org/10.1109/CONTROLO.2018.8514278
Journals
L. Machado,
M. Monteiro,
A numerical optimization approach to generate smoothing spherical splines, Journal of Geometry and Physics, 111, pp. 71-81, 2017
http://dx.doi.org/10.1016/j.geomphys.2016.10.007
http://dx.doi.org/10.1016/j.geomphys.2016.10.007
K. Krakowski,
L. Machado,
F. Silva Leite,
J. Batista,
A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds, Journal of Computational and Applied Mathematics, Volume 311, Pages 84–99, 2017
http://dx.doi.org/10.1016/j.cam.2016.07.018
http://dx.doi.org/10.1016/j.cam.2016.07.018
Conferences
L. Machado,
Minimum energy interpolating curves in fluid environments, , International conference on Mathematical Modeling in Applied Sciences (ICMMAS’17), São Petersburgo, Russia, 2017
L. Machado,
Lie Theory Approach in the Geometry of Rolling Motions, V Iberoamerican meeting on Geometry, Mechanics and Control, 16-20 , Tenerife, Canary Islands, Spain, 2017
Conferences
J. Batista,
K. Krakowski,
L. Machado,
P. Dias Martins,
F. Silva Leite,
Multi-source domain adaptation using C1-smooth subspaces interpolation, In 2016 Proceedings of IEEE International Conference on Image Processing (ICIP), Phoenix, USA, 2016
Journals
E. Batzies,
K. Hüper,
L. Machado,
F. Silva Leite,
Geometric mean and geodesic regression on Grassmannians, Linear Algebra and its Applications, Volume 466, Pages 83-101, 2015
http://dx.doi.org/10.1016/j.laa.2014.10.003
http://dx.doi.org/10.1016/j.laa.2014.10.003
K. Krakowski,
L. Machado,
F. Silva Leite,
J. Batista,
Solving Interpolation Problems on Stiefel Manifolds using Quasi-Geodesics, Pré-Publicações do Departamento de Matemática, 15-36, Universidade de Coimbra, 2015
E. Batzies,
K. Hüper,
L. Machado,
F. Silva Leite,
Geometric mean and geodesic regression on Grassmannians, Linear Algebra and its Applications, Volume 466, Pages 83-101, 2015
http://dx.doi.org/10.1016/j.laa.2014.10.003
http://dx.doi.org/10.1016/j.laa.2014.10.003
Book Sections
L. Machado,
F. Pina,
F. Silva Leite,
Rolling maps for the Essential Manifold, In CIM Series in Mathematical Sciences I - Dynamics, Games and Science, J.-P., Jeltsch, R., Pinto, A.A., Viana, M. (Eds.), Chapter 21, Springer, Bourguignon, 2015
Conferences
K. Krakowski,
L. Machado,
F. Silva Leite,
Rolling Symmetric Spaces, Proc. 2nd Conference on Geometric Science of Information (GSI'15) (accepted for publication), Ecole Polytechnique in Paris-Saclay (France), 2015
Conferences
L. Machado,
F. Silva Leite,
Interpolation and polynomial fitting in the SPD manifold, Proc. IEEE-CDC 2013, Florence – Italy, 2013
L. Machado,
F. Silva Leite,
Approximating SPD matrices by geodesics. , Conference Papers in Mathematics, Volume 2013, Article ID 243621, 9 pages (CVIM13), 2013
L. Machado,
F. Silva Leite,
Approximating Sets of Symmetric and Positive-Definite Matrices by Geodesics, Conference Papers in Mathematics , vol. 2013, Article ID 425608, 7 pages, 2013
http://dx.doi.org/10.1155/2013/425608
http://dx.doi.org/10.1155/2013/425608
L. Machado,
F. Silva Leite,
K. Hüper,
Generalized Least Squares Problems on Riemannian Manifolds, Proc. Workshop on Robotics and Mathematics, Coimbra, Portugal, 2013
L. Machado,
M. Monteiro,
Geodesic regression on spheres: a numerical optimization approach, Proc. of the 2013 International Conference on Computational and Mathematical Methods in Science and Engineering, Volume: III, Pages: 994-1000, Almería, Spain, 2013
Conferences
L. Machado,
A variational approach for Riemannian curve fitting, 5th Podlasie Conference on Mathematics, Bialystok University of Technoloy, Biaylstok, Poland, 2012
http://katmat.pb.bialystok.pl/pcm12
http://katmat.pb.bialystok.pl/pcm12
L. Machado,
Means and medians of SPD matrices, The International Meeting on Applied Mathematics in Errachidia, Morocco, 2012
https://sites.google.com/site/mpappliedmathematics2012
https://sites.google.com/site/mpappliedmathematics2012
Book Sections
L. Machado,
R. Sepulchre,
A locally quadratic convergent method to compute the Karcher mean of SPD matrices, Mathematical Papers in Honour of Fátima Silva Leite, Knut Hüper, João Cardoso e Paulo Saraiva (eds.), vol.43, p.57-69, Department of Mathematics, University of Coimbra, 2011
Conferences
L. Machado,
R. Sepulchre,
On the Geometric Averaging of Positive Definite Matrices, in Book of Abstracts of Optimization 2011 Conference, Faculty of Sciences and Technology of the New University of Lisbon, 2011
Journals
L. Machado,
F. Silva Leite,
K. Krakowski,
Higher-order smoothing splines versus least squares problems on Riemannian manifolds, Journal of Dynamical and Control Systems, vol.16, n.1, p.121-148, 2010
http://dx.doi.org/10.1007/s10883-010-9080-1
http://dx.doi.org/10.1007/s10883-010-9080-1
Conferences
L. Machado,
R. Sepulchre,
Computing the Riemannian Mean of Positive Definite Matrices, Proc. 9th Portuguese Conference on Automatic Control, 2010
Conferences
L. Machado,
F. Silva Leite,
K. Krakowski,
A Variational Approach for High Order Least Squares Problems on Riemannian Manifolds, Proc. 18th International Symposium on Mathematical Theory of Network and Systems, Virginia Tech, Blacksbourg, Virginia, USA, 2008
L. Machado,
F. Silva Leite,
K. Krakowski,
Riemannian Means as a Limiting Process, Proc. 8th Portuguese Conference on Automatic Control, University of Trás-os-Montes e Alto Douro, Portugal, 2008
Journals
L. Machado,
F. Silva Leite,
Fitting Smooth Paths on Riemannian Manifolds, International Journal of Applied Mathematics & Statistics, vol.43, n.J06, p.25-53, 2006
L. Machado,
F. Silva Leite,
K. Hüper,
Riemannian Means as Solutions of Variational Problems, LMS Journal of Computation and Mathematics, n.8, p.86-103, 2006
L. Machado,
F. Silva Leite,
K. Hüper,
Riemannian means as solutions of variational problems, LMS Journal of Computational Mathematics, n.9, p.86-103, 2006
L. Machado,
F. Silva Leite,
Fitting smooth paths on Riemannian manifolds, International Journal of Applied Mathematics & Statistics, vol.4, n.J06 , p.25-53, 2006
Conferences
L. Machado,
F. Silva Leite,
K. Hüper,
An Extension of the Classical Least Squares Problem to Non-Euclidean Spaces, Proc. 17th International Symposium on Mathematical Theory of Network and Systems, Kyoto, Japan, 2006
Thesis
L. Machado,
Least Squares Problems on Riemannian Manifolds, Ph.D. Thesis, University of Coimbra, Portugal, 2006, Supervised by