Date: Tue. June 3, 2025 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Optimization-based control for large-scale and complex systems: When and why does it work? Speaker: Prof. Dr. Lars Grüne Affiliation: Universität Bayreuth (Germany) Abstract. […]
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HYCO: The hybrid-collapse strategy for time-independent PDEs This post explores core ideas on a novel hybrid modelling procedure, within the framework of time-independent partial differential equations, drawn from ongoing research in collaboration with Lorenzo Liverani and Enrique Zuazua. GitHub Repository The code to reproduce the experiments can be found at […]
On Wednesday May 28, 2025 our researchers at FAU DCN-AvH, Director Akad. Prof. Martin Gugat and postdoctoral researcher Dr. Michael Schuster participated at the vocatium Fürth 2025 workshop organized by the IfT Institute for Talent Development in Fürth, Germany. There Prof. Gugat and Dr. Schuster did provide information about careers […]
Hybrid parabolic-hyperbolic effect for heat equations with memory 1 Introduction PDEs with memory involve the past values of solutions. In the modeling, one physical quantity induces time-delayed actions on others, and and a large number of such actions form memory (as a time integral). Such models with memory are […]
Date: Mon. June 23, 2025 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: AI for maths and maths for AI Speaker: Dr. François Charton Affiliation: Meta | FAIR | École Nationale des Ponts et Chaussées Abstract. […]
From June 16 – 20, 2025, our FAU MoD, Research Center for Mathematics of Data at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg is co-hosting with the Universidade Federal Fluminense the “Trends in Mathematical Sciences and Data Sciences” workshop with the support of the FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics […]
Boundary and Interior Control in a Diffusive Lotka-volterra Model 1 Introduction 1.1 Problem formulation and main results In this post, we consider a general diffusive Lotka-Volterra Model (LVM) for two competing species. The system, with boundary controls and an interior multiplicative control, is described by where are positive parameters, […]
Date: Fri. – Thu. May 2 – 8, 2025 Event: FAU MoD Course Organizer: FAU MoD, Research Center for Mathematics of Data at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg FAU MoD Course: Towards a Mathematical Foundation of Deep Learning: From Phenomena to Theory Speaker: Prof. Dr. Yaoyu Zhang Affiliation: Institute of Natural Sciences […]
Date: Wed. May 7, 2025 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Mathematics of neural stem cells: Linking data and processes Speaker: Prof. Dr. Ana Martin-Villalba Affiliation: Molecular Neurobiology. DKFZ, German Cancer Research Center (Deutsches […]
Optimal control of Fokker-Planck and transport equations using renormalized solutions 1 Introduction The fundamental general optimal control problem we consider is the following: This is a bilinear optimal control problem for a Fokker-Planck equation (1.1) with time-dependent control . In the objective function to be minimized, with are weighting […]
Date: Fri. May 2, 2025 Event: FAU MoD Lecture Series (double session) May 2025 Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Session 01: 10:00H FAU MoD Lecture: Random Batch Methods for classical and quantum molecular dynamics Speaker: Prof. Dr. Shi Jin Affiliation: […]
Last update: 15.05.2025 Certificates: Thank you for your participation! Your certificate will be sent to the email address specified on your registration by 15.05.2025. On April 28 – 30, 2025, our FAU MoD, Research Center for Mathematics of Data is hosting the “Machine Learning and PDEs” workshop (MLPDES25) supported […]
Mathematics & Philosophy: On the philosophical foundations of mathematics and its role as a structural science When we talk about mathematics today, many people think primarily of numbers, formulas, and calculations. Yet anyone who delves more deeply into the field soon discovers that mathematics is far more than a mere […]
On Wednesday April 9, 2025 Prof. Enrique Zuazua will give a talk as keynote speaker on Modelling, Machine Learning and Control at the HB Conference on Evolution Equations and Control Theory organized in honor of Prof. Hammadi Bouslous by Team of Analysis and Control of Systems and Interactions (TACSI), the […]
On Friday April 4, 2025 Prof. Enrique Zuazua will give a ICMAT Seminar on Machine Learning on Control and Machine Learning organized at ICMAT, Instituto de Ciencias Matemáticas in Madrid, Spain. Abstract. Systems control, or cybernetics—a term first coined by Ampère and later popularized by Norbert Wiener—refers to the science […]
This Summer, from June 30 to July 4, 2025, Prof. Enrique Zuazua (FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg) joint with Prof. Martin Lazar (University of Dubrovnik) will give the M18 DUBROVNIK module on “Control and Machine Learning” at the IEECI-IGSC 2025: International Graduate School on Control 2025 organized by EECI – European Embedded […]
On Tuesday April 1, 2025 Prof. Enrique Zuazua will give a Langtangen Seminar on Control and Machine Learning organized (online) by Marie E. Rognes and Thomas M. Surowiec. Named in honour of Professor Hans Petter Langtangen, the Langtangen Seminar on Scientific Computing series by Simula, is a new online seminar […]
The hidden challenge in heat equation control: Slow decay of gramian eigenvalues 20.03.2025. Rethinking Heat Equation Controllability: The Hidden Limitations of Slow Eigenvalue Decay “New research challenges long-held assumptions about the controllability of heat systems. Professors Lazar and Zuazua reveal that Gramian eigenvalues decay at a slower, polynomial rate rather […]
Federated Learning for Systems Identification Federated learning (FL) operates in a decentralized manner, as shown Figure 1, allowing multiple clients (or devices) to collaboratively train a model while ensuring the privacy of local data. This method is particularly relevant for systems identification, where clients have access to limited and environmentspecific […]
3−wave turbulence kinetics: Numerical approach for energy cascading This post provides an overview of the results presented in the paper “Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory” by Arijit Das and Minh-Binh Tran [1]. 1. Introduction The theory of wave turbulence has been […]
Next Monday March 10, 2025: FAU DCN-AvH Mini-Workshop on Analysis, Numerics, Control and Machine Learning Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Session 01. Title: Model order reduction for parametric dynamical systems Speaker: Giulia Sambataro […]
On Tuesday March 4, 2024 our postdoctoral researchers Michael Schuster will talk at the SIGOPT 2025 International Conference on Optimization in Siegen, Germany. Slides Abstract. In the operation of pipeline networks, compressors play a crucial role in ensuring the network’s functionality for various scenarios. In this contribution we address the […]
On Wednesday February 26, 2025 Prof. Enrique Zuazua will give a Frontiers of Mathematics lecture on Control and Machine Learning organized at The University of Hong Kong (HKU). Abstract. Systems control, or cybernetics—a term first coined by Ampère and later popularized by Norbert Wiener—refers to the science of control and […]
How to steer a fleet of agents by controlling only a few: a mean-field approach 1 Introduction The challenge of controlling large systems of interacting agents has garnered significant attention in recent years. Applications of such problems include crowd evacuations, achieving consensus within a large group, and traffic flow […]
Clustering in discrete-time self-attention Since the article Attention Is All You Need [1] published in 2017, many Deep Learning models adopt the architecture of Transformers, especially for Natural Language Processing and sequence modeling. These Transformers are essentially composed of layers, alternating between self-attention layers and feed forward layers, with normalization […]
Date: Tue. January 28, 2025 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Do you think you understand sex and death? Why predictions about biological processes require more than just intuition Speaker: Prof. Dr. Hanna Kokko […]
On Thursday December 19, 2024 Prof. Enrique Zuazua will give a lecture on “Tracking control” at the Mathematics and Decision conference organized at The UM6P Vanguard Center in Rabat, Morocco. This second edition of the conference is a gathering for mathematicians and young researchers to discuss the latest advancements in […]
On December 10, 2024 Prof. Enrique Zuazua will talk as a plenary speaker on “Control and Machine Learning” at the MathConnect 2024 conference organized at the King Fahd University of Petroleum and Minerals, Dhahran (Saudi Arabia). MathConnect 2024 is a state-of-the-art conference aiming to bring together distinguished mathematicians from around […]
Date: Thu. December 05, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Control Design for Mixing in Incompressible Flows Speaker: Prof. Dr. Weiwei Hu Affiliation: Visiting Professor at FAU DCN-AvH from University of Georgia, Athens […]
Date: Tue. December 03, 2024 Event: FAU MoD Lecture Series (Special double edition. December 2024) Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Session 01: 14:30H FAU MoD Lecture: The implicit bias phenomenon in deep learning Speaker: Prof. Dr. Holger Rauhut Affiliation: Mathematisches […]
On November 20-22, 2024 our FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship led by Prof. Enrique Zuazua was delighted to be part of the Humboldt Network meeting 2024 organized by the Alexander von Humboldt Foundation on November 20 – 22, 2024 at […]
On Wed. November 20, 2024 Prof. Enrique Zuazua will give a plenary lecture on “Control and Machine Learning” at the PGMODAYS 2024 at the FMJH – Fondation Mathématique Jacques Hadamard organized on November 19 – 20, 2024 at University of Paris-Saclay in France. Abstract. Systems control, or cybernetics—a term first […]
Next Thursday November 14, 2024: Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: How to steer a fleet of agents by controlling only a few of them Speaker: Enrico Sartor Affiliation: PhD student at FAU […]
Date: Wed. November 13, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Measuring productivity and fixedness in lexico-syntactic constructions Speaker: Prof. Dr. Stephanie Evert Affiliation: FAU MoD member/vice-spokesperson | CCL – Chair of Computational Corpus […]
On November 6 and November 8, 2024 Prof. Enrique Zuazua will give a minicourse at the XVII ENAMA 2024 annual scientific meeting organized by the Institute of Mathematics of the Federal University of Rio de Janeiro (UFRJ), from November 6 – 8, 2024 at the Brazilian College of Advanced Studies […]
Next Wednesday October 30, 2024 our Senior scientist Prof. Dr. Giovanni Fantuzzi will talk on “Data-driven system analysis: Polynomial optimization meets Koopman” at the IMC Seminar organized by the UC Chile University (Pontificia Universidad Católica de Chile). Abstract. When studying complex systems that evolve over time, it is often not […]
On Tuesday October 29, 2024 Prof. Martin Gugat will talk on “Optimal control problems with probabilistic constraints” at the Research Workshop on Control and Optimization organized (online) by the CMS – Center for Mathematical Sciences in Haifa, Tel Aviv on October 29 – 31, 2024. The topics covered in this […]
On October 28, 2024 Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the IC-AMDS24, “International Conference Applied Mathematics and Data Science” organized (hybrid mode) on October 28 – 29, 2024 by the Department of Mathematics, Little Flower College, Guruvayoor and the Advanced Mathematical Innovation Center for Artificial […]
On Friday October 25, 2024 will be the Distinguished CMAI Colloquium by Prof. Enrique Zuazua on “Control and Machine Learning” organized by the George Mason University (GMU). Abstract. Systems control, or cybernetics—a term first coined by Ampère and later popularized by Norbert Wiener—refers to the science of control and communication […]
Date: Thu. October 24, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: New avenues for the interaction of computational mechanics and machine learning Speaker: Prof. Dr. Paolo Zunino Affiliation: MOX, Politecnico di Milano (Italy) Abstract. […]
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: Wed. October 16, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Discovering and Communicating Excellence Raising awareness and developing competence on the topic of excellence and gender for postdocs and actors in university communication […]
On Friday October 18, 2024 Prof. Enrique Zuazua will talk on “Data Representation by Neural Networks: A control perspective” at the ICMAM 2024, ICMAM Latin America 2024, a hybrid mode conference promoted by the research organisation ICMAM Latin America organized at several universities in Colombia and Mexico from October 14-18, […]
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 […]
Event: CIN-PDE 2024. Conference on Control, Inversion and Numerics for PDEs. Date: Mon.-Thu. October 7 – 10, 2024 Next October, the Fudan University is hosting the 2nd. edition of the CIN-PDE 2024: Conference on Control, Inversion and Numerics for PDEs (CIN-PDE 2024) in collaboration with our our FAU MoD, Research […]
Event: CIN-PDE 2024 • Yongcun Song, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Ziqi Wang, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Fedadmm-insa: an Inexact and Self-adaptive Admm for Federated Learning View this poster
Event: CIN-PDE 2024 • Martín Hernández, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Multilayer Perceptrons: Multiclassification and Universal Approximation View this poster
Event: CIN-PDE 2024 • Albert Alcalde, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Giovanni Fantuzzi, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Clustering in Pure-attention Hardmax Transformers and Its Role in Sentiment Analysis View this poster
Event: CIN-PDE 2024 • Gengsheng Wang, Tianjin University • Yubiao Zhang, Tianjin University / Visiting Professor at FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Hybrid Parabolic-hyperbolic Effect for Heat Equations With Memory View this poster
Event: CIN-PDE 2024 • Antonio Álvarez López, UAM. Autonomous University of Madrid • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Controllability of Neural ODEs for Classification View this poster