Real-time Trajectory Modification based on Bézier Shape Deformation. - Lucia Hilario; Nicolás Montés; Marta C. Mora; Antonio Falcó (IJCCI (ICEC), 2010)

On the Structure of the kneading Space of Bimodal Degree One Circle Maps. - Lluís Alsedà; Antonio Falcó (Int. J. Bifurc. Chaos, 2010)

Real-time Bézier Trajectory Deformation for Potential Fields planning methods. - Lucia Hilario; Nicolás Montés; Marta C. Mora; Antonio Falcó (IROS, 2011)

On Minimal Subspaces in Tensor Representations. - Antonio Falcó; Wolfgang Hackbusch (Found. Comput. Math., 2012)

Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. - Antonio Falcó; Anthony Nouy (Numerische Mathematik, 2012)

Tensor Formats Based on Subspaces are Positively Invariant Sets for Laplacian-Like Dynamical Systems. - Antonio Falcó (ENUMATH, 2013)

Numerical strategies for the Galerkin-proper generalized decomposition method. - Antonio Falcó; Lucia Hilario; Nicolás Montés; Marta C. Mora (Math. Comput. Model., 2013)

Towards a 2.5D geometric model in mold filling simulation. - Luís Domenech; Antonio Falcó; Victor García; Fernando Sánchez (J. Comput. Appl. Math., 2016)

A tensor optimization algorithm for Bézier Shape Deformation. - Lucia Hilario; Antonio Falcó; Nicolás Montés; Marta C. Mora (J. Comput. Appl. Math., 2016)

A direct LU solver for pricing American bond options under Hull-White model. - Antonio Falcó; Lluis Navarro; Carlos Vázquez 002 (J. Comput. Appl. Math., 2017)

A general framework for a class of non-linear approximations with applications to image restoration. - Vicente F. Candela; Antonio Falcó; Pantaleón D. Romero (J. Comput. Appl. Math., 2018)

On the Existence of a Progressive Variational Vademecum based on the Proper Generalized Decomposition for a Class of Elliptic Parameterized Problems. - Antonio Falcó; Nicolás Montés; Francisco Chinesta; Lucia Hilario; Marta C. Mora (J. Comput. Appl. Math., 2018)

A PGD-based Method for Robot Global Path Planning: A Primer. - Nicolás Montés; Francisco Chinesta; Antonio Falcó; Marta C. Mora; Lucia Hilario; Jean-Louis Duval (ICINCO (1), 2019)

On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (Found. Comput. Math., 2019)

A geometry based algorithm for dynamical low-rank approximation. - Marie Billaud Friess; Antonio Falcó; Anthony Nouy (CoRR, 2020)

Geometry of tree-based tensor formats in tensor Banach spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (CoRR, 2020)

A separated representation involving multiple time scales within the Proper Generalized Decomposition framework. - Angelo Pasquale; Amine Ammar; Antonio Falcó; Simona Perotto; Elías Cueto; Jean-Louis Duval; Francisco Chinesta (Adv. Model. Simul. Eng. Sci., 2021)

Monitoring weeder robots and anticipating their functioning by using advanced topological data analysis. - Tarek Frahi; Abel Sancarlos; Matthieu Galle; Xavier Beaulieu; Anne Chambard; Antonio Falcó; Elías Cueto; Francisco Chinesta (CoRR, 2021)

Monitoring Weeder Robots and Anticipating Their Functioning by Using Advanced Topological Data Analysis. - Tarek Frahi; Abel Sancarlos; Mathieu Galle; Xavier Beaulieu; Anne Chambard; Antonio Falcó; Elías Cueto; Francisco Chinesta (Frontiers Artif. Intell., 2021)

Real-Time Path Planning Based on Harmonic Functions under a Proper Generalized Decomposition-Based Framework. - Nicolás Montés; Francisco Chinesta; Marta C. Mora; Antonio Falcó; Lucia Hilario; Nuria Rosillo; Enrique Nadal (Sensors, 2021)

Non-probabilistic Supervised Learning for Non-linear Convex Variational Problems. - Pablo M. Berná; Antonio Falcó (CoRR, 2022)

Structure and approximation properties of Laplacian-like matrices. - J. Alberto Conejero; Antonio Falcó; M. Mora-Jiménez (CoRR, 2022)

An Innovative Approach to Virtual Reality and Game-Based Learning for Primary Schools. - Giorgio Borla; Barbara Bruschi; Fabiola Camandona; Lorenzo Denicolai; Antonio Falcó; Manuela Repetto; Melania Talarico (HELMeTO, 2023)

Computer-aided drug repurposing to tackle antibiotic resistance based on topological data analysis. - Antonio Tarín-Pelló; Beatriz Suay-García; Jaume Forés-Martos; Antonio Falcó; María-Teresa Pérez-Gracia (Comput. Biol. Medicine, 2023)

tramoTDA: A trajectory monitoring system using Topological Data Analysis. - Miriam Esteve; Antonio Falcó (SoftwareX, 2024)

Trajectory Classification Through Topological Data Analysis Perspectives. - Miriam Esteve; Antonio Falcó (IEEE Access, 2025)

GSSTDA: Implementation in an R Package of the Progression of Disease with Survival Analysis (PAD-S) that Integrates Information on Genes Linked to Survival in the Mapper Filter Function. - Miriam Esteve; Raquel Bosch-Romeu; Antonio Falcó; Jaume Forés-Martos; Joan Climent (R J., 2025)

topoEEG: An Python-framework for analyzing EEG data in neurodegeneratives disease through Topological Deep Learning. - Miriam Esteve; Alejandro Martinez-Gracia; Jesús Javier Rodríguez-Sala; Antonio Falcó (SoftwareX, 2025)

A mathematical model for a universal digital quantum computer with an application to the Grover-Rudolph algorithm. - Antonio Falcó; Daniela Falcó-Pomares; Hermann G. Matthies (CoRR, 2025)