Working Papers

R. C. Sabi Gninkou, A. F. López-Lopera, F. Massa, and R. Le Riche, Multitask Gaussian processes for scalable modeling of complex systems with functional covariates, work in progress
M. Castaño-Aguirre, A. F. López-Lopera, N. Bartoli, F. Massa, and T. Lefebvre, Scalable sparse co-Kriging for multi-fidelity data fusion: An application to aerodynamics, work submitted in a journal
M. Deronzier, A. F. López-Lopera, F. Bachoc, and O. Roustant, Block-additive Gaussian processes under monotonicity constraints, under major revision in Statistics and Computing [arXiv]
A. Arous, A. F. Lopez-Lopera, Nael Abu-Ghazaleh and Ihsen Alouani, May the noise be with you: Adversarial training without adversarial examples [arXiv]
E. A. Valencia, C. K. Valencia, A. F. López-Lopera and M. A. Alvarez, Distance measures for hidden Markov models based on Hilbert space embeddings for time series classification

Publications in International Journals

L. Grammont, F. Bachoc, and A. F. López-Lopera, Error bounds for a kernel-based constrained optimal smoothing approximation, SIAM/ASA Journal on Uncertainty Quantification 13(3): 1145-1173, 2025 [doi] [HAL]
L. Reding, A. F. López-Lopera and F. Bachoc, Covariance parameter estimation of Gaussian processes with approximated functional inputs, Journal of Multivariate Analysis 205: 105380, 2025 [doi] [arXiv] [github]
H. Valayer, N. Bartoli, M. Castaño-Aguirre, R. Lafage, T. Lefebvre, A. F. López-Lopera, and S. Mouton, A Python toolbox for data-driven aerodynamic modeling using sparse Gaussian processes, Aerospace 11(4): 260, 2024 [doi] [github]
F. Bachoc, A. F. López-Lopera and O. Roustant, Sequential construction and dimension reduction of Gaussian processes under inequality constraints, SIAM Journal on Mathematics of Data Science 4(2): 772-800, 2022 [doi] [arXiv] [github] [talk]
A. F. López-Lopera, D. Idier, J. Rohmer and F. Bachoc, Multioutput Gaussian processes with functional data: A study on coastal flood hazard assessment, Reliability Engineering and System Safety 218: 108139, 2022 [doi] [arXiv] [github]
D. Idier, A. F. López-Lopera et al., A user-oriented local coastal flooding forecast and early warning system using metamodeling techniques, Journal of Marine Science and Engineering 9(11): 1191, 2021 [doi]
A. F. López-Lopera, N. Durrande and M. A. Alvarez, Physically-inspired Gaussian process models for post-transcriptional regulation in Drosophila, IEEE/ACM Transaction on Computational Biology and Bioinformatics, 18(2):656-666, 2021 [doi] [arXiv] [github]
F. Bachoc, A. Lagnoux and A. F. López-Lopera, Maximum likelihood estimation for Gaussian processes under inequality constraints, Electronic Journal of Statistics, 13(2): 2921–2969, 2019 [doi] [arXiv]
A. F. López-Lopera, N. Durrande, F. Bachoc and O. Roustant, Finite-dimensional Gaussian approximation with linear inequality constraints, SIAM/ASA Journal on Uncertainty Quantification, 6(3): 1224–1255, 2018 [doi] [arXiv] [cran] [github]
A. F. López-Lopera and M. A. Alvarez, Switched latent force models for reverse-engineering transcriptional regulation in gene expression data, IEEE/ACM Transaction on Computational Biology and Bioinformatics, 16(1): 322–335, 2017 [doi] [arXiv] [github]

Proceedings in International Conférences

L. F. Torres-Torres, J. Arias-García, H. F. García, A. F. López-Lopera and J. F. Vargas-Bonilla, Gaussian process-driven hidden Markov models for early diagnosis of infant gait anomalies, IEEE EMBC 2025, Copenhagen, Denmark [HAL]
A. F. López-Lopera, F. Bachoc and O. Roustant, High-dimensional additive Gaussian processes under monotonicity constraints, NeurIPS 2022, New Orleans, USA [url] [arXiv]
A. F. López-Lopera, F. Massa, I. Turpin and N. Leconte, Modeling complex mechanical computer codes with functional input via Gaussian processes, in CILAMCE 2022, Foz do Iguaçu, Paraná, Brazil [url] [HAL]
R. Conde-Arenzana, A. F. López-Lopera, S. Mouton, N. Bartoli and T. Lefebvre, Multi-fidelity Gaussian process model for CFD and wind tunnel data fusion, Aerobest 2021, Lisbon, Portugal (online) [url] [HAL]
A. F. López-Lopera, F. Bachoc, N. Durrande, J. Rohmer, D. Idier and O. Roustant, Approximating Gaussian process emulators with linear inequality constraints and noisy observations via MC and MCMC, MCQMC 2019, Rennes, France [doi] [arXiv]
A. F. López-Lopera, S. John and N. Durrande, Gaussian process modulated Cox processes under linear inequality constraints, AISTATS 2019, Okinawa, Japan [url] [arXiv]
A. F. López-Lopera, M. A. Álvarez and A. A. Orozco, Sparse linear models applied to power quality disturbance classification, CIARP 2016, Lima, Peru [doi] [arXiv]
H. D. Cardona, A. F. López-Lopera, A. A. Orozco, M. A. Alvarez, J. A. Tamames and N. Malpica, Gaussian processes for slice-based super-resolution MR images, ISVC 2015, Las Vegas, Nevada, USA [doi]
A. F. López-Lopera, M. A. Alvarez and A. A. Orozco, Improving diffusion tensor estimation using adaptive and optimized filtering based on local similarity, IbPRIA 2017, Santiago de Compostela, Spain [doi]
A. F. López-Lopera, H. D. Vargas, G. Daza-Santacoloma, M. A. Alvarez and A. A. Orozco, Comparison of preprocessing methods for diffusion tensor estimation in brain imaging, STSIVA 2014, Armenia, Colombia [doi]

Proceedings in French Conferences

D. Idier, A. Aurouet, F. Bachoc, A. Baills, J. Betancourt, F. Gamboa, T. Klein, S. Le Roy, A. F. López-Lopera, J. Louisor, R. Pedreros, J. Rohmer, and A. Thibault, Un système local de prévision et alerte des submersions côtières centré sur les besoins des utilisateurs et utilisant des techniques de métamodélisation, Journées Nationales Génie Côtier - Génie Civil, France. [doi] [HAL]

Other Conferences and Workshops

A. F. López-Lopera, F. Bachoc and O. Roustant, High-dimensional additive Gaussian processes under monotonicity constraints, Seminar - Journées Scientifiques CIROQUO, Saclay, France [slides]
A. F. López-Lopera, F. Bachoc and O. Roustant, High-dimensional additive Gaussian processes under monotonicity constraints, Seminar - GAP project, Toulouse, France [slides]
A. F. López-Lopera, N. Durrande and M. A. Alvarez, Physically-inspired Gaussian processes: Application in biology, SIAM-UQ 2022, Atlanta, Georgia, USA [slides]
A. F. López-Lopera, D. Idier, J. Rohmer and F. Bachoc, Fast prediction of coastal flood hazard assessment: A multi-output Gaussian process metamodelling approach, RISCOPE ANR project: Final workshop 2022, Orléans, France [slides]
A. F. López-Lopera, N. Bartoli, T. Lefebvre and S. Mouton, Data fusion with multifidelity Gaussian processes for aerodynamic experimental and numerical databases, SIAM-CSE 2021 (online) [slides]
F. Bachoc, A. F. López-Lopera, and O. Roustant, Gaussian processes under inequality constraints: Sequential construction and dimension reduction, Workshop IMT (France) & University of Bern (Swiss), 2020 [slides]
A. F. López-Lopera, lineqGPR: An R package for Gaussian process regression modelling with linear inequality constraints, UseR! 2019, Toulouse, France [poster]
A. F. López-Lopera, F. Bachoc, N. Durrande and O. Roustant, Efficiently approximating Gaussian process emulators with inequality constraints using MC/MCMC, MCQMC 2018, Rennes, France [slides]
A. F. López-Lopera, F. Bachoc, N. Durrande and O. Roustant, Finite-dimensional Gaussian approximation with linear inequality constraints, SIAM-UQ 2018, Garden Grove, California, USA [slides]
A. F. López-Lopera, F. Bachoc, N. Durrande and O. Roustant, Gaussian process regression models under linear inequality conditions, Mascot-Num 2018, Nantes, France [poster]

Thesis

A. F. López-Lopera, Gaussian process modelling under inequality constraints, PhD in Applied Mathematics, Mines Saint-Etienne, 2019 [url] [slides]
A. F. López-Lopera, Switched dynamical latent force models for transcriptional regulation, Master’s thesis, Electrical Engineering Program, Universidad Tecnológica de Pereira, 2015 [pdf]
A. F. López-Lopera, “Selección de la mejor base para la caracterización de perturbaciones en señales de calidad de potencia usando transformaciones tiempo/frecuencia” (in Spanish), Bachelor’s thesis, Electrical Engineering Program, Universidad Tecnológica de Pereira, 2013 [pdf]