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 […]
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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
Date: Fri. September 20, 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: Thoughts on Machine Learning Speaker: Prof. Dr. Rupert Klein Affiliation: Mathematik & Informatik, Freie Universität Berlin (Germany) Abstract. Techniques of machine learning (ML) […]
Low-rank balanced truncation of bilinear systems via Laguerre functions 1 Introduction Bilinear systems are an important class of nonlinear systems which typically arise from approximating more involved nonlinearities by using the Carleman linearization approach or by imposing certain boundary conditions to discretized partial differential equations (PDEs). They can be […]
On September 11, 2024 Prof. Enrique Zuazua will talk on “Control and Machine Learning” as part of the colloquium organized at Nanyang Technological University (NTU) in Singapore. 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 […]
This Summer, on August 18 – 30, 2024 will be held the Benasque X Workshop-Summer School 2024: Partial differential equations, optimal design and numerics at the Benasque Center for Science in the Spanish Pyrenees (300Kms. northwest from Barcelona). The main purpose of this X Workshop-Summer School is to build an […]
On November 24 – 29, 2024, Prof. Enrique Zuazua joint with Borjan Geshkovski (Cambridge) and Domènec Ruiz-Balet (London) are organizing the Oberwolfach Seminar: Control and Machine Learning (2448b) at the Mathematisches Forschungsinstitut Oberwolfach (Germany). This week-long seminar (2448b) will provide an overview of the recent developments and new horizons of […]
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), […]
Generalization bounds for neural ODEs: A user-friendly guide Once a neural network is trained, how can one measure its performance on new, unseen data? This concept is known as generalization. While many theoretical models exist, practical models often lack comprehensive generalization results. This post introduces a probabilistic approach to quantify […]
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 […]
This summer, Prof. Enrique Zuazua (Friedrich-Alexander-Universität Erlangen-Nürnberg) joint with Prof. Giuseppe M. Coclite (Politecnico di Bari) are organizing the “PDEs, Control and Deep Learning” Summer School on July 22-26, 2024 in Cetraro (Cosenza, Italy), supported by our Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship […]
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) and DeustoCCM (Deusto University, Spain) Duration: 5 years (2024 – 2029) Machine Learning (ML) is forging a new era in […]
Next Thursday July 18, 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: Generalization bounds for neural ODEs and Clustering in discrete-time self-attention Speaker: Lucas Versini Affiliation: Visiting student at FAU DCN-AvH from École Polytechnique […]
Clustering in pure-attention hardmax transformers and its role in sentiment analysis This post provides an overview of the results in the paper Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis by Albert Alcalde, Giovanni Fantuzzi, and Enrique Zuazua [1]. Codes used to reproduce the simulations can be […]
Next Thursday July 11, 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: Enriched Finite Elements for Wave Propagation and Heat Diffusion using the Partition of Unity Method Speaker: M. Shadi Mohamed Affiliation: Visiting Scientist […]
Next Friday June 28, 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) 14:00H Title: RBM-SVRG: A random-sampling based solver for optimal control problems with variance reduction Speaker: Prof. Byungjoon Lee Affiliation: The Catholic University of […]
Hybrid Control and Estimation of Semi-Dissipative Systems: Analysis, Computation, and Machine Learning Project/grant agreement No.: FA8655-24-1-7027 Principal Investigators (PI): Prof. Enrique Zuazua Host Institution: European Office of Aerospace Research and Development (EOARD), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany) Duration: 3 years (June 15, 2024 – June 14, 2027) Description The proposed research […]
On June 18, 2024 Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the FGS Conference on Optimization 2024 on its 21st edition of the series of French-German conferences which initiated in Oberwolfach, Germany, in 1980. This year it is organized by the Department of Mathematics at University […]