Visiting research stay from BIT, Beijing Institute of Technology
Kaijing Lyu is a PhD candidate at the BIT- Beijing Institute of Technology in China and recently concluded a one-year visiting research stay at the Deusto CCM - Chair of…
Enrique Zuazua invited to deliver a Special Section Lecture at ICM 2026
Date: July 23 – 30, 2026 Event: ICM 2026. Philadelphia, Pennsylvania (USA) Lecture: Machine Learning and Control: Foundations, Advances, and Perspectives Speaker: Prof. Enrique Zuazua, FAU - Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)…
DeustoCCM Seminar: Computational implementation and statistical analysis of non-standard cosmological models
Date: Fri. February 06, 2026 (15:30H) Event: DeustoCCM Seminar General Colloquium / Research-Oriented Title: Computational implementation and statistical analysis of non-standard cosmological models Speaker: Francisco Xavier Linares Cedeño Affiliation: Visiting…
DeustoCCM Seminar: Dark Matter: A Glimpse into the Invisible
Date: Thu. February 05, 2026 (15:00H) Event: DeustoCCM Seminar General Colloquium / Student-Oriented Title: Dark Matter: A Glimpse into the Invisible Speaker: Francisco Xavier Linares Cedeño Affiliation: Visiting scientist. Michoacan…
Working meeting DeustoCCM (January, 2026)
Date: January 2026 Event: Working meeting DeustoCCM First working meeting of 2026 at DeustoCCM, the Chair of Computational Mathematics at University of Deusto, led by Prof. Enrique Zuazua. The team…
Kick-off meeting DeustoCCM (January, 2026)
Date: January 2026 Event: Kick-off meeting DeustoCCM DeustoCCM, the Chair of Computational Mathematics at University of Deusto, led by Prof. Enrique Zuazua, has kicked off 2026 with its first strategic…
Spiking Neural Networks: theoretical framework for universal approximation and training – 3rd. meeting of the COPI2A network
Date: December 1 - 2, 2025 Event: Control, Inverse Problems and Machine Learning - Third meeting of the COPI2A network Talk: Spiking Neural Networks: theoretical framework for universal approximation and…
A multi-objective optimization framework for decentralized learning with coordination constraints – 3rd. meeting of the COPI2A network
Date: December 1 - 2, 2025 Event: Control, Inverse Problems and Machine Learning - Third meeting of the COPI2A network Talk: A multi-objective optimization framework for decentralized learning with coordination…
Enrique Zuazua | News
bio | News Seventh workshop on thin structures Date: September 10 - 12, 2026 See more: https://dcn.nat.fau.eu/events/thinstructures7/ Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design and numerics Date:…
Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design and numerics
Event: Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design and numerics Date: Sun.-Fri. August 23 - September 04, 2026 Event type: On-site (Benasque) Registration: https://benasque.org/2026pde/cgi-bin/appl.pl Next Summer, on…
The Mathematics of Scientific Machine Learning and Digital Twins
Date: November 19 - 25, 2025 Event: Workshop The Mathematics of Scientific Machine Learning and Digital Twins Talk: Deep Operator Networks in Control Theory: Concepts and Applications Speaker: Umberto Biccari.…
Enrique Zuazua | Academy
bio | Academy • WS 2026/27: Modeling and Analysis in Continuum Mechanics 1 Date: Winter Semester 2026/27 Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) See more: https://www.studon.fau.de/studon/ilias.php?baseClass=ilrepositorygui&cmd=infoScreenGoto&ref_id=4724699 • Benasque XI Workshop-Summer School 2026:…
Matemáticas y progreso – El epicentro de todas las ciencias. Matemáticas de lo cotidiano
Matemáticas y progreso – El epicentro de todas las ciencias Matemáticas de lo cotidiano. Del caos al orden: los principios que rigen nuestra realidad Colección de Divulgación Científica. Pinolia (240…
SHAP values through General Fourier Representations: Theory and Applications
R. Morales (2025) SHAP values through General Fourier Representations: Theory and Applications Abstract. This article establishes a rigorous spectral framework for the mathematical analysis of SHAP values. We show that…
Spiking Neural Networks: a theoretical framework for Universal Approximation and training
U. Biccari (2025) Spiking Neural Networks: a theoretical framework for Universal Approximation and training Abstract. Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical…
Enrique Zuazua | Publications
bio | Publications
DeustoCCM Seminar: Research on Control Problems of Several Types of Infinite-Dimensional Systems
Date: Thu. September 25, 2025 (15:15H) Event: DeustoCCM Seminar Title: Research on Control Problems of Several Types of Infinite-Dimensional Systems Speaker: Jun Chen Affiliation: PhD Student at DeustoCCM Slides Abstract.…
DeustoCCM Seminar: Developing Mathematical and Physical Tools for Multiscale Dynamical Systems. Applications to Neurophysiological Data
Date: Mon. September 22, 2025 (15:30H) Event: DeustoCCM Seminar Title: Developing Mathematical and Physical Tools for Multiscale Dynamical Systems. Applications to Neurophysiological Data Speaker: Diego Martín Mateos Affiliation: Achucarro Basque…
Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels
K. Lyu, U. Biccari, J. Wang (2025) Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels Abstract. This paper investigates the mean square exponential stabilization problem for a…
A Multi-Objective Optimization framework for Decentralized Learning with coordination constraints
Roberto Morales, U. Biccari (2025) A Multi-Objective Optimization framework for Decentralized Learning with coordination constraints, Abstract. This article introduces a generalized framework for Decentralized Learning formulated as a Multi-Objective Optimization…
Sharp numerical approximation of the Hardy constant
L. Ignat, E. Zuazua (2025) Sharp numerical approximation of the Hardy constant Abstract. We study the P1 finite element approximation of the best constant in the classical Hardy inequality over…
Collaboration meeting (July 11, 2025)
Date: July 11, 2025 Event: Collaboration meeting Collaborative meeting to joint efforts with Rodrigo Lecarós, Universidad Técnica Federico Santa María (Chile), Juan Carlos López, Universidad Industrial de Santander (Colombia) and…
Joint meeting (July 10, 2025)
Date: July 10, 2025 Event: Joint meeting UAM/DeustoCCM Joint meeting with Rafael Orive and Antonio Álvarez, UAM - University Autonomous of Madrid and DeustoCCM - Chair of Computational Mathematics personnel…
Collaboration meeting (July 7, 2025)
Date: July 7, 2025 Event: Collaboration meeting Collaborative meeting with Prof. Kang Liu, Université Bourgogne Europe (France) and DeustoCCM - Chair of Computational Mathematics personnel to explore overlapping research areas…
DeustoCCM Seminar by R. Orive and A. Alvarez
Date: Wed. July 9, 2025 (11:30H) Event: DeustoCCM Seminar Project: DASEL Project reference: TED2021-131390B-I00 AEI: TED2021-131390B-I00/ AEI/10.13039/501100011033 DASEL 11:30H. Session 01 Title: Robustness with neural ordinary differential equations Speaker: Prof.…
DeustoCCM Seminar by R. Lecaros and J. Lopez
Date: Fri. July 4, 2025 Event: DeustoCCM Seminar Project: DASEL Project reference: TED2021-131390B-I00 AEI: TED2021-131390B-I00/ AEI/10.13039/501100011033 DASEL Session 01 (11:30H) Title: Lipschitz stability in inverse problems for semi-discrete parabolic operators…
Meeting Prof. Manfredi, Pitt. (June 27, 2025)
Date: June 27, 2025 Event: Meeting with Prof. Manfredi (Pitt, USA) Collaborative meeting with Prof. Juan Jose Manfredi, University of Pittsburgh (USA) and DeustoCCM - Chair of Computational Mathematics staff…
DeustoCCM Seminar: Universal approximation and convexified training in neural networks
Date: Tue. July 1, 2025 (12:30H) Event: DeustoCCM Seminar Project: DASEL Project reference: TED2021-131390B-I00 AEI: TED2021-131390B-I00/ AEI/10.13039/501100011033 DASEL Title: Universal approximation and convexified training in neural networks Speaker: Prof. Dr.…
Collaboration meeting with CIC bioGUNE (June 9, 2025)
Date: June 9, 2025 Event: Collaboration meeting with CIC bioGUNE Topic: Open discussion about AI applications to aging and healthcare Image (left to right): Researchers Umberto Biccari, Gonzalo Jiménez-Osés, Roberto…
Visit by Prof. Rafael Orive Illera (June 4-5, 2025)
Date: June 4-5, 2025 Event: Visit by Prof. Dr. Rafael Orive Illera Research collaboration DeustoCCM / UAM In the pictures: Researchers Rafael Orive Illera, Umberto Biccari, Roberto Morales Ponce WHERE…
Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
A. Alcalde Zafra, G. Fantuzzi, E. Zuazua (2025) Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis, SIAM Mathematics of Data Science, SIMODS, arxiv: 2407.01602 Abstract. Transformers are…
DeustoCCM Seminar: Soluciones de viscosidad: Teoría y aplicaciones
Date: Fri. June 27, 2025 (11:00H) Event: DeustoCCM Seminar Title: Soluciones de viscosidad: Teoría y aplicaciones Speaker: Prof. Juan J. Manfredi Affiliation: University of Pittsburgh Slides Abstract. Comenzaremos presentando las…
A potential game perspective in Federated Learning
K. Liu, Z. Wang, E. Zuazua (2025) A potential game perspective in Federated Learning, arxiv:2411.11793 Abstract. Federated learning (FL) is an emerging paradigm for training machine learning models across distributed…
DeustoCCM Seminar by R. Morales and K. Lyu
Date: Fri. May 16, 2025 - 15:30H Event: DeustoCCM Seminar 15:30H. Session 01 Title: Controllability on some PDEs with dynamic boundary conditions Speaker: Prof. Roberto Morales Affiliation: DeustoCCM, University of…
Regional and Partial Observability and Control of Waves
B. Dehman, S. Ervedoza, E. Zuazua (2025) Regional and Partial Observability and Control of Waves Abstract.We establish sharp regional observability results for solutions of the wave equation in a bounded…
Cluster-based classification with neural ODEs via control
A. Alvarez-Lopez, R. Orive-Illera, E. Zuazua (2025) Optimized classification with neural odes via separability, J. Mach. Learn., arXiv:2312.13807v2 Abstract.We address binary classification using neural ordinary differential equations from the perspective…
Optimal convergence rates for the finite element approximation of the Sobolev constant
L. Ignat, E. Zuazua (2025) Optimal convergence rates for the finite element approximation of the Sobolev constant Abstract. We establish optimal convergence rates for the P1 finite element approximation of…
Boundary observation and control for fractional heat and wave equations
U. Biccari, E. Zuazua (2025) Boundary observation and control for fractional heat and wave equations, https://doi.org/10.48550/arXiv.2504.17413 Abstract. We establish boundary observability and control for the fractional heat equation over arbitrary…
Control Theory and applications (April 4, 2025)
Date: April 4, 2025 Event: Meeting of the Computational Mathematics Research Group Topic: Open discussion on Control Theory and applications Slides Participants Umberto Biccari Damián Knopoff Sebastián Zamorano Carolina Mosquera…
DeustoCCM seminar: Approximations of the best constants
Date: Mon. April 14, 2025 Event: DeustoCCM Seminar Project: DASEL Project reference: TED2021-131390B-I00 AEI: TED2021-131390B-I00/ AEI/10.13039/501100011033 DASEL Session 01 Title: Approximations of the best constants Speaker: Prof. Liviu Ignat Affiliation:…
Almost periodic turnpike phenomenon for time-dependent systems
S. Zamorano (2025)Almost periodic turnpike phenomenon for time-dependent systems Systems and Control Letters, Vol. 199, pp. 106069, https://doi.org/10.1016/j.sysconle.2025.106069 Abstract. This paper explores the turnpike behavior of a controlled system with…
Turnpike in optimal control and beyond: A survey
E. Trélat, E. Zuazua (2025)Turnpike in optimal control and beyond: A survey https://hal.science/hal-05002039 Abstract. The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide…
Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach
T. Crin-Barat, L. Liverani, Ly Shou, E. Zuazua (2025)Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach, arXiv:2503.00236 Abstract. We study the stability of one-dimensional linear hyperbolic systems…
Pointwise constraints for scalar conservation laws with positive wave velocity
N. De Nitti, D. Serre, E. Zuazua (2025) Pointwise constraints for scalar conservation laws with positive wave velocity Abstract. We consider a conservation law with strictly positive wave velocity and…
Gaussian Beam ansatz for finite difference wave equations
U. Biccari, E. Zuazua (2025) Gaussian Beam ansatz for finite difference wave equations, Found Comput Math. , Vol. 25, pp. 1–54, https://doi.org/10.1007/s10208-023-09632-9 Abstract. This work is concerned with the construction…
Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics
K. Liu, E. Zuazua (2025) Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics, Math. Models Methods Appl. Sci., Vol. 35, No. 6, pp. 1471-1521, arXiv:2412.01619v1, https://doi.org/10.1142/S0218202525500228 Abstract. In…
Exact Sequence Classification with Hardmax Transformers
A. Alcalde Zafra, G. Fantuzzi, E. Zuazua (2025) Exact Sequence Classification with Hardmax Transformers, arxiv: 2502.02270 Abstract. We prove that hardmax attention transformers perfectly classify datasets of $N$ labeled sequences…
On the decay of one-dimensional locally and partially dissipated and hyperbolic systems
T. Crin-Barat, N. De Nitti, E. Zuazua (2025) On the decay of one-dimensional locally and partially dissipated and hyperbolic systems, ESAIM:COCV, https://arxiv.org/abs/2206.00555 Abstract. We study the time-asymptotic behavior of linear…
Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, E. Zuazua (2025) Control of Hyperbolic and Parabolic Equations on Networks and Singular limits, MCRF, Vol. 15, No. 1, March 2025,…
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
Y. Song, Z. Wang, E. Zuazua (2025) FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning, Neural Networks, pp. 106-772, ISSN 0893-6080, https://doi.org/10.1016/j.neunet.2024.106772 Abstract. Federated learning (FL) is a promising…
Optimal L^p-approximation of convex sets by convex subsets
F. Zakaria, I. Ftouhi, E. Zuazua (2025) Optimal L^p-approximation of convex sets by convex subsets Abstract. Given a convex set Ω of R n, we consider the shape optimization problem…
Tracking controllability for the heat equation
J.A. Barcena-Petisco, E. Zuazua (2025) Tracking controllability for the heat equation, IEEE Trans. Autom. Control Abstract. We study the tracking or sidewise control- lability of the heat equation. More precisely,…
Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications
Z. Li, K. Liu, L. Liverani, E. Zuazua (2025)Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications, arXiv: 2407.17092 Abstract. In this paper, we introduce semi-autonomous neural ordinary…
Boundary sidewise observability of the wave equation
B. Dehman, E. Zuazua (2025) Boundary sidewise observability of the wave equation J. Eur. Math. Soc. (JEMS) Abstract. The wave equation on a bounded domain of Rn with non homogeneous…
Pattern control via diffusion interaction
D. Ruiz-Balet, E. Zuazua (2025) Pattern control via diffusion interaction Abstract. We analyse a dynamic control problem for scalar reaction-diffusion equations, focusing on the emulation of pattern formation through the…
Local Stability and Convergence of Unconstrained Model Predictive Control
D. Veldman, E. Zuazua (2025) Local Stability and Convergence of Unconstrained Model Predictive Control Abstract. The local stability and convergence for Model Predictive Control (MPC) of unconstrained nonlinear dynamics based…
Deep Neural Networks: Multi-Classification and Universal Approximation
M. Hernandez, E. Zuazua (2025)Deep Neural Networks: Multi-Classification and Universal Approximation arXiv:2409.06555 Abstract. We demonstrate that a ReLU deep neural network with a width of 2 and a depth of…
Digital Twins (March 21, 2025)
Date: March 21, 2025 Event: Meeting of the Computational Mathematics Research Group Topic: Open discussion on Digital Twins Slides Participants Umberto Biccari Damián Knopoff Sebastián Zamorano Carolina Mosquera Lidia Serrano…
Approximate and Weighted Data Reconstruction Attack in Federated Learning
Z. Wang, Y. Song, E. Zuazua (2025) Approximate and Weighted Data Reconstruction Attack in Federated Learning arXiv:2308.06822 Abstract. Federated Learning (FL) is a distributed learning paradigm that enables multiple clients…
A note on the eigenvalues of a Sylvester-Kac matrix with off-diagonal biperiodic perturbations
Z. Du, C.M. da Fonseca (2025) A note on the eigenvalues of a Sylvester-Kac matrix with off-diagonal biperiodic perturbations, Journal of Computational and Applied Mathematics 461 (2025) 116429, 10.1016/j.cam.2024.116429 Abstract.…
Observability for heat equations with time-dependent analytic memory
G. Wang, Y. Zhang, E. Zuazua (2024) Observability for heat equations with time-dependent analytic memory Arch Rational Mech Anal, Vol. 248, No. 115, https://doi.org/10.1007/s00205-024-02058-9 Abstract. This paper presents a complete…
Progress and future directions in machine learning through control theory
E. Zuazua (2024) Progress and future directions in machine learning through control theory Proceedings book FGS 2024, pp. 116, https://hdl.handle.net/10651/74677 Abstract. This paper presents our recent advancements at the intersection…
Optimized classification with neural odes via separability
A. Alvarez-Lopez, R. Orive-Illera, E. Zuazua (2024)Optimized classification with neural odes via separability Neural Networks, Vol. 180, 106640, arXiv:2312.13807 Abstract. Classification of N points becomes a simultaneous control problem when…
Stability and Convergence of a Randomized Model Predictive Control Strategy
D.W.M. Veldman, A. Borkowski, E. Zuazua (2024) Stability and Convergence of a Randomized Model Predictive Control Strategy , IEEE Trans. Automat., Vol. 69, No. 9, pp. 6253-6260 Abstract. This paper is…
Exact Controllability and Stabilization of the Wave Equation
E. Zuazua. Exact Controllability and Stabilization of the Wave Equation (2024) UNITEXT (La Matematica per il 3+2, UNITEXTMAT) - Springer Cham, Vol. 162, No. 1, eBook ISBN 978-3-031-58857-0, https://link.springer.com/book/10.1007/978-3-031-58857-0, arxiv:2402.17894…
Control and Machine Learning
E. Zuazua (2024) Control and Machine Learning Proceedings of the 9th. International Conference on Control and Optimization with Industrial Applications, August 27-29, 2024, Istanbul, Turkey Abstract. In this talk, we…
Eigenvalue bounds for the Gramian operator of the heat equation
M. Lazar, E. Zuazua. Eigenvalue bounds for the Gramian operator of the heat equation (2024) Automatica, Vol. 164, pp. 111-653, https://doi.org/10.1016/j.automatica.2024.111653 Abstract. This paper is concerned with the eigenvalue decay…
Finite element approximation of the Hardy constant
F. Della Pietra, G. Fantuzzi, LI Ignat, AL Masiello, G. Paoli, E. Zuazua (2024)Finite element approximation of the Hardy constant J. Convex Anal. Special Issue Giuseppe Buttazzo 70 Abstract. We…
Control of neural transport for normalising flows
D. Ruiz-Balet, E. Zuazua (2024)Control of neural transport for normalising flows J. Math. Pures Appl., Vol. 181, pp. 58-90, ISSN 0021-7824. https://doi.org/10.1016/j.matpur.2023.10.005 Abstract. Inspired by normalizing flows, we analyze the…
Tracking controllability for finite-dimensional linear systems
S. Zamorano, E. Zuazua (2025)Tracking controllability for finite-dimensional linear systems arXiv:2407.18641v2 Abstract. In this work, we present a functional analytic framework for tracking controllability in finite-dimensional linear systems. By leveraging…
Averaged observations and turnpike phenomenon for parameter-dependent systems
M. Hernandez, M. Lazar, S. Zamorano (2024) Averaged observations and turnpike phenomenon for parameter-dependent systems arXiv:2404.17455 Abstract. Our main contribution in this article is the achievement of the turnpike property…
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
GM. Coclite, N. De Nitti, F. Maddalena, G. Orlando, E. Zuazua (2025) Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings, Mathematical Models and Methods…
The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries,
C.M. da Fonseca, C. Kızılateş, N. (2024) The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries, Logic Journal of the IGPL, jzae065, 10.1093/jigpal/jzae065…
Revisiting some r-Fibonacci sequences and Hessenberg matrices
C.M. da Fonseca, P. Saraiva, A.G. Shannon (2024) Revisiting some -Fibonacci sequences and Hessenberg matrices, Notes on Number Theory and Discrete Mathematics, Vol. 30, pp. 704-715, 10.7546/nntdm.2024.30.4.704-715 Abstract. The relationship…
A new generalization of min and max matrices and their reciprocals counterparts
C.M. da Fonseca, C. Kızılateş, N. (2024) A new generalization of min and max matrices and their reciprocals counterparts, Filomat, Vol. 38, pp. 421-435, 10.2298/FIL2402421F Abstract. In this paper, we…
Equitable partitions and spectra of symmetric trees: Revisiting Heilbronner’s composition principle
M. Anđelić, C.M. da Fonseca (2024) Equitable partitions and spectra of symmetric trees: Revisiting Heilbronner's composition principle, Discrete Mathematics Letters, Vol. 14, pp. 108-117, 10.47443/dml.2024.160 Abstract. The notion of equitable…
On Chebyshev polynomials and the inertia of certain matrices
K. Castillo, C.M. da Fonseca, J. Petronilho (2024) On Chebyshev polynomials and the inertia of certain matrices, Applied Mathematics and Computation, Vol. 467, pp. 128-497, 10.1016/j.amc.2023.128497 Abstract. It was first…
Optimal Placement and Shape Design of Sensors via Geometric Criteria
I. Ftouhi, E. Zuazua (2024) Optimal Placement and Shape Design of Sensors via Geometric Criteria, 2024 European Control Conference (ECC), Stockholm, Sweden, 2024, pp. 834-837, doi: 10.23919/ECC64448.2024.10591236 Abstract. The optimal…
Control of a Lotka-Volterra System with Weak Competition
M. Sonego, E. Zuazua (2024)Control of a Lotka-Volterra System with Weak Competition, arXiv:2409.20279 Abstract. The Lotka-Volterra model reflects real ecological interactions where species com- pete for limited resources, potentially leading…
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
H. Antil, U. Biccari, R. Ponce, M. Warma, S. Zamorano (2024) Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation, Vol. 13, pp. 893-924, https://doi.org/10.3934/eect.2024010…
Random Batch Method (RBM) and Model Predictive Control (MPC) for Converter-Dominated Power Systems
C. Vázquez. Random Batch Method (RBM) and Model Predictive Control (MPC) for Converter-Dominated Power Systems (2024) Abstract. This paper investigates the application of Data-based Reduced Order Models, the Random Batch…
DyCMaMod
DyCMaMod. Dinámica y control para el aprendizaje automático y la Modelización Project reference. PID2023-146872OB-I00 Funded by: MINECO. Ministerio de Economía, Comercio y Empresa Principal Investigator (PI): Prof. Enrique Zuazua, Prof.…
CoDeFeL. Control for Deep and Federated Learning
CoDeFeL. Control for Deep and Federated Learning ERC Advanced Grant 2022. Control for Deep and Federated Learning (CoDeFeL) Principal Investigator (PI): Prof. Enrique Zuazua Host Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany)…
A formal operator involving Fermatian numbers
C.M. da Fonseca, A.G. Shannon (2024) A formal operator involving Fermatian numbers, Notes on Number Theory and Discrete Mathematics, Vol. 30, pp. 491-498, 10.7546/nntdm.2024.30.3.491-498 Abstract. In this note, old and…
The generating function of a bi-periodic Leonardo sequence
C.M. da Fonseca (2024) The generating function of a bi-periodic Leonardo sequence, Armenian Journal of Mathematics, Vol. 16, pp. 1-8, 10.52737/18291163-2024.16.07-1-8 Abstract. In "A note on bi-periodic Leonardo sequence", the…
The determinants of certain double banded (0,1) Toeplitz matrices
Z. Du, C.M. da Fonseca (2023) The determinants of certain double banded (0,1) Toeplitz matrices, Miskolc Mathematical Notes, Vol. 24, pp.1307-1315, 10.18514/MMN.2023.4053 Abstract. We prove a conjecture proposed recently in…
On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence
C.M. da Fonseca, A.G. Shannon (2023) On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence, Notes on Number Theory and Discrete Mathematics, Vol.…
The number of P-vertices for acyclic matrices with given nullity
Z. Du, C.M. da Fonseca (2023) The number of P-vertices for acyclic matrices with given nullity, Discrete Mathematics, Vol. 346, pp.113-592, 10.1016/j.disc.2023.113592 Abstract. In this paper, we completely characterize those…
The characterization of the minimal weighted acyclic graphs
Z. Du, C.M. da Fonseca (2023) The characterization of the minimal weighted acyclic graphs, Linear Algebra and its Applications, Vol. 672, pp.75-92, 10.1016/j.laa.2023.04.019 Abstract. In this paper, we completely characterize…
Further developments of basic trigonometric power sums
Z. Du, C.M. da Fonseca, V. Kowalenko (2023) Further developments of basic trigonometric power sums, RACSAM Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas,…
Chain graph sequences and Laplacian spectra of chain graphs
A. Alazemi, M. Anđelić, K. Chandra, Carlos M. da Fonseca (2023) Chain graph sequences and Laplacian spectra of chain graphs, Linear and Multilinear Algebra, Vol. 74, pp.569-585, 10.1080/03081087.2022.2036672 Abstract. A…
Root location for the characteristic polynomial of a Fibonacci type sequence
Z. Du, C.M. da Fonseca (2023) Root location for the characteristic polynomial of a Fibonacci type sequence, Czechoslovak Mathematical Journal, Vol. 73, pp. 189-195, 10.21136/CMJ.2022.0043-22 Abstract. We analyse the roots…
A second-order difference equation with sign-alternating coefficients
M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) A second-order difference equation with sign-alternating coefficients, Kuwait Journal of Science, Vol. 50, No. 1, 10.48129/kjs.20425 Abstract. We provide an…
An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs
M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs, Journal of Applied Mathematics and Computing 69 (2023) 491-503,…
A periodic determinantal property for (0,1) double banded matrices
Z. Du, C.M. da Fonseca (2022) A periodic determinantal property for (0,1) double banded matrices, Linear and Multilinear Algebra, Vol. 70, pp. 5316-5328, 10.1080/03081087.2021.1913980 Abstract. In this paper, we extend…
An identity involving derangement numbers and Bell numbers
Z. Du, C.M. da Fonseca (2022) An identity involving derangement numbers and Bell numbers, Applicable Analysis and Discrete Mathematics, Vol. 16, pp.485-494, 10.2298/AADM200705018D Abstract. The aim of this paper is…
On tridiagonal matrices associated with Jordan blocks
C.M. da Fonseca, V. Kowalenko (2022) On tridiagonal matrices associated with Jordan blocks, Acta Universitatis Sapientiae, Mathematica, Vol. 14, pp.61-74, 10.2478/ausm-2022-0004 Abstract. This paper aims to show how some standard…
A Sylvester-Kac matrix type and the Laplacian controllability of half graphs
M. Anđelić, C.M. da Fonseca, E. Kılıç, Z. Stanic (2022) New strong divisibility sequences, Electronic Journal of Linear Algebra, Vol. 38, pp. 559-571, 10.13001/ela.2022.6947 Abstract. In this paper, we provide…
New strong divisibility sequences
Z. Du, C.M. da Fonseca, D. Dimitrov (2022) New strong divisibility sequences, Ars Mathematica Contemporanea, Vol. 22, P1.08, 10.26493/1855-3974.2473.f2e Abstract. We provide new families of divisibility and strong divisibility sequences…
The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
Milica Anđelić, C.M. da Fonseca, Fatih Yılmaz (2022) Determinantal representations for the number of subsequences without isolated odd terms, Heliyon, Vol. 8, E08863, 10.1016/j.heliyon.2022.e08863 Abstract. In this note we consider…