Introduction to Control and Machine Learning Master Course – FAU, Friedrich-Alexander-Universität Erlangen–Nürnberg This course explores the deep connections between control theory, dynamical systems, and modern machine learning, highlighting how mathematical tools developed for the analysis of differential equations can help understand and design modern AI systems. Course Overview The course […]
EZuazua Akademy
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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 August 23 – September 04, 2026 will be held the Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design […]
Date: Mon.-Wed. June 22 – 24, 2026 Event: MLPDES26, Machine Learning and PDEs Workshop (2026) Host: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Event type: Hybrid (On-site / Online) Registration form: dcn.nat.fau.eu/registration-mlpdes26 Next Spring, our FAU MoD, Research Center for Mathematics of Data is […]
Master Thesis: “Development of a Modular Multi-Agent System Architecture for Enhanced Flexibility and Scalability” Author: Greshma Shaji Supervisors: Ziqi Wang, Prof. Enrique Zuazua, Prof. Frauke Liers Date: November, 2025 Large Language Models (LLMs) are increasingly used in autonomous systems but face challenges in long-term reasoning, coordination, and scalability. This thesis […]
Event: A workshop in Speinshart: Scientific center for AI and SuperTech Date: Tue.-Sun. November 11 – 16, 2025 Event type: On-site From November 11 – 16, 2025, Kloster Speinshart hosted a workshop bringing together researchers, students, and industry professionals to explore the intersections of mathematics, control theory, machine learning, and […]
Next Thursday September 25, 2025 our team member Martín Hernández will present his PhD Thesis on: “From Optimal Control to Random and Neural Network Approximation” Supervisor: Prof. Enrique Zuazua, FAU – Friedrich Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. This talk presents contributions grounded in control and computation. First, we focus on long-time […]
On October 21-23, 2024 Prof. Enrique Zuazua will give an online course on Introduction to Optimal Control and Machine Learning organized by IMUS, Institute of Mathematics of the University of Seville. VIDEO / RECORDING https://www.youtube.com/watch?v=RihnGJnbqyw&list=PLl-lD4Gje_wDkw6hV7hHBEQ0oZY_3YFl8 In this series of lectures, we will introduce both Control Theory and Machine Learning (ML), […]
Date: October 7, 2024 Event: 100th Session. Seminar in PDEs and Applied Mathematics On October 7th, Prof. Enrique Zuazua did talk as a plenary speaker of the Seminar in PDEs and Applied Mathematics – “Celebration of Session 100th” organized (online) on October 7-10, 2024. Abstract. Systems control, or cybernetics, a […]
Date: July 2024 Course: Control and Machine Learning Lecturer: Prof. Enrique Zuazua Recordings S01: Introduction to Control Theory S02: Introduction: Calculus of Variations, Controllability and Optimal Design S03: Introduction: Optimization and Perpectives S04: Finite-dimensional Control Systems (1) S05: Finite-dimensional Control Systems (2) and Gradient-descent methods (1) S06: Gradient-descent methods (2), […]
Master Thesis: “AI-based Diagnosis of Combustion Anomalies in Hydrogen Engines” Author: Arun Sai Thunga Supervisor: Prof. Enrique Zuazua Date: June 30, 2024 In the field of automobile maintenance, a wide range of sensors are useful for capturing the signals inside the combustion chamber of engines. Addressing the intricacies of anomaly […]
On March 19 – 21, 2024, Prof. Enrique Zuazua will give a lecture Series on Introduction to Optimal Control and Machine Learning at the 5th Edition of the Open Doctoral Lecture Series organized by the UM6P’s VANGUARD Center in collaboration with Université Cadi AYYAD, University Côte d’Azur and GE2MI. Abstract. […]
From February 12 – 15, 2024 Prof. Enrique Zuazua will talk on Inverse design for conservation laws and Hamilton-Jacobi equations at the “Recent advances in Control Theory of PDE systems” program organized on February 12-23, 2024 by Shirshendu Chowdhury (IISER Kolkata, India), Debayan Maity (TIFR CAM, India) and Debanjana Mitra […]
Master Thesis: “Synthetic Training Data Generation for Point Cloud Defects” Author: Nishitha Yedalapalli Supervisor: Prof. Enrique Zuazua Date: January 29, 2024 In the field of aviation maintenance, white light interferometry is useful for detecting submillimeter cracks within combustion chambers. This cutting-edge technology gen- erates high-resolution point cloud data that captures […]
Analysis, control, and singular limits for hyperbolic conservation laws Author: Nicola de Nitti Date: Monday July 24, 2023 PhD Thesis: Analysis, control, and singular limits for hyperbolic conservation laws (July 24, 2023) Abstract. The main focus of this thesis is on the study of singular limits related to scalar conservation […]
Master Thesis: “Machine Learning: Publisher Recommendation Model” Author: Mohammed Quaidjohar Husain Supervisor: Prof. Dr. DhC. Enrique Zuazua Date: July 7, 2023 The exponential rise of digital content in recent years, along with the spread of inter- net platforms, has led to an excessive influx of data from all sources, which […]
Master Thesis: “Gradient Descent on Wide Neural Networks and Federated Learning” Author: Gisele Stephanie Otiobo Supervisor: Prof. Dr. DhC. Enrique Zuazua Date: May 20, 2023 Deep neural networks are very complex and difficult to understand due to their intricate structure and a vast number of parameters. The relationship between parameters […]
CML: Control, Machine Learning and Numerics Professors: Enrique Zuazua, Yongcun Song Period: Summer Semester 2022/2023 Date: April to July 2023 ECTS: 10 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_5073175
Course: Wave Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, , Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Introduction to control and machine learning Professors: Enrique Zuazua, Yongcun Song Period: Winter Semester 2022/2023 Date: November to December 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4724699
Course: Mathematical Modeling in the Life Sciences Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer 2022 (IFAC CPDE 2022 Course) _ This course gives a general introduction and some recent developments on the interface between Control, Numerics, and Machine Learning (Supervised Learning and Universal Approximation). The first part of the course is […]
Course: Control and optimization for non-local and fractional differential equations Period: Summer 2022 (August 1st – August 12nd, 2022) I. Introduction to Control Theory • Lecture 1: Introduction to Control Theory • Lecture 2: Introduction to Control Theory II. Non-local in time models • Lecture 3: ODE and ODE with […]
Modeling, Simulation and Optimization (practical course) Professors: Enrique Zuazua, Daniël Veldman Period: Summer Semester 2021/2022 Date: April 25, 2022 to July 31, 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4366861
Course: Modeling and Analysis in Continuum Mechanics 2 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Control, Machine Learning and Numerics (2022) Lecturers: Enrique Zuazua, Yongcun Song Period: 2021/2022 summer semester Date: April – July 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Modeling and Analysis in Continuum Mechanics 1 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 winter semester Date: October 2021 – March 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2021/2022 winter semester Date: October 2021 – March 2022 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Date: July 9 – 26, 2021 (4 weeks) Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE S01: Introduction to Control Theory (Fri. July 9, 2021) S02: Introduction: […]
Date: July 26th., 2021 WEEK 4 of 4 Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE WEEK 4 (July 26th, 2021) S12: Watch on YouTube Turnpike principle […]
Date: July 19th. to July 24th., 2021 WEEK 3 of 4 Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE WEEK 3 (July 19th – 24th, 2021) S06: […]
Date: July 9th. to July 26th., 2021 WEEK 2 of 4 Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE WEEK 2 (July 14th – 17th, 2021) S03: […]
Date: July 9th. to July 26th., 2021 WEEK 1 of 4 Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China Title: Control, Machine Learning and Numerics Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany TOPICS OF THE COURSE WEEK 1 (July 9th – 10th, 2021) S01: […]
Date: June 28th to July 3rd, 2021 Organized by: CIMPA, UIR, Mines-Rabat, Université Mohammed V de Rabat, Faculté de Droit de Rabat-Agdal, Faculté des Sciences Rabat, CNRST and INSEA Title: Control, Numerics and Machine Learning Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Our Head Enrique Zuazua […]
Date: Mon. May 24, 2021 Organized by: Federal Fluminense University (Brazil) and supported by Rio de Janeiro State Research Support Foundation (FAPERJ). Title: Plenary Talk at the Workshop on Control Theory and Partial Differential Equations Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg (Germany) Recording/Video: Watch on YouTube See more […]
Date: Tue. May 11, 2021 Organized by: FAU Erlangen-Nürnberg Title: FAU StudOn AG Neural Differential Equations, Control and Machine Learning Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg (Germany) Abstract. We discuss Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address some of the main challenges in […]
Date: Mon. April 26, 2021 Organized by: DSAD – Data Science Across Disciplines, a research group within Institute for the Future of Knowledge (IFK) at University of Johannesburg Title: Neural Differential Equations, Control and Machine Learning Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. The seminar is focused […]
Course: Modeling, Simulation and Optimization (practical course) Lecturers: Enrique Zuazua, Daniel Veldman Period: 2020/2021 summer semester Date: April – July 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Modeling and Analysis in Continuum Mechanics 2 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2020/2021 summer semester Date: April – July 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Modeling, Simulation and Optimization (practical course) Professors: Enrique Zuazua, Daniël Veldman Period: Summer Semester 2020/2021 Date: April 12, 2021 to July 16, 2021 ECTS: 5 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_3686764
Date: Thu. March 25, 2021 Organized by: French-speaking Pole at UAM – Autonomous University of Madrid. Title: Hire me, I’m a mathematician Speaker: Our Head Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Our Head Enrique Zuazua talked about ““Hire me, I’m a Mathematician”” at Cafés Scientifique de la Culture. Abstract. In […]
Date: Mon. March 22, 2021 Organized by: Chair Jean-Morlet at CIRM – Centre International de Rencontres Mathématiques, Marseille Luminy, France. Title: Chaire Jean-Morlet 2021: Dynamics and Control of a guiding Model Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. We model, simulate and control the guiding […]
Date: Mon. March 8, 2021 Organized by: Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg Title: Unilateral bounds for nonlinear semigroups and time-inversion Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany On March 8th, our Head Enrique Zuazua talked on the ‘Geometric and […]
Date: Fri. March 5, 2021 Organized by: Department of Mathematics at Federal University of Santa Catarina (UFSC – Universidade Federal de Santa Catarina), Brazil. Title: Coloquio MTM UFSC: Inverse design for conservation laws and Hamilton-Jacobi equations Speaker: Our Head Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany On Friday March […]
Date: Tue. February 2, 2021 Organized by: One World PDE Title: Open World PDE Seminar: Inverse design for conservation laws and Hamilton–Jacobi equations Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU Erlangen-Nürnberg, Germany Abstract. We shall discuss the inverse problem, or inverse design problem, for a time-evolution Hamilton–Jacobi equation and the […]
Master PDE course – Partial Differential Equations, Control and Numerics 01 Introduction Historical Introduction Introduction Control Design 02 Finite-dimensional linear control Finite-dimensional linear control 03 Basic Tools Gradient descent Methods An Algorithm for Density Background on Fourier Analysis Ingham’s inequality Adjoint Methods 04 Waves Waves, history […]
Course: Modeling and Analysis in Continuum Mechanics 1 Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2020/2021 winter semester Date: October 2020 – March 2021 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Partial Differential Equation, Control, and Numerics Lecturer: Enrique Zuazua | Exercise classes: Nicola De Nitti Period: 2019/2020 summer semester Date: April – July 2020 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –