Date: Wed. May 15, 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: Using system knowledge for improved sample efficiency in data-driven modeling and control of complex technical systems Speaker: Prof. Dr. Sebastian Peitz Affiliation: Universität […]
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Next June 10 – 14, 2024, our FAU MoD, Researcher Center for Mathematics of Data at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg is hosting the first “Trends in Mathematical Sciences” conference thanks to the support of our FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship and […]
Next Monday April 8, 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: Solving Navier Stokes Equations with Mimetic Operators Speaker: Prof. Dr. José E. Castillo Affiliation: San Diego State University Abstract. We present a […]
Date: Wed. March 20, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the FAU Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Image Reconstruction – The Dialectic of Modelling and Learning Speaker: Prof. Dr. Martin Burger Affiliation: DESY and Universität Hamburg Abstract. In this […]
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. […]
A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty 1 The Deterministic Optimal Control Croblem We consider a deterministic optimal boundary control problem governed by a linear transport equation with source term and the corresponding static optimal problem. We state an integral turnpike result […]
On Friday March 8, 2024 our postdoctoral researcher Michael Schuster, will talk on “Gas Network Modelling and Optimal Locations for Control under Uncertainty” at Nanzan University. 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 […]
On Fri. March 8, 2024 Prof. Enrique Zuazua will talk on Control and Machine Learning at the ANMATH Seminars at EPFL Laussane. Abstract. In this lecture, we will discuss recent results from our group that explore the relationship between control theory and machine learning, specifically supervised learning and universal approximation. […]
On Wednesday March 6, 2024 Prof. Enrique Zuazua will talk on “Dynamics, Control and Numerics” at the “Zurich Colloquium in Applied and Computational Mathematics” organized at ETH Zürich. Abstract. Norbert Wiener defined “Cybernetics” as “the science of control and communication in the animal and the machine”, anticipating some of the […]
On Thursday February 29, 2024, Prof. Enrique Zuazua will talk on Control and Machine Learning at RAMSA 2024, the 7th. International Conference on Recent Advances in Mathematical Sciences and its Applications on February 29 – March 02, 2024 organized by the Department of Mathematics, Jaypee Institute of Information Technology (JIIT […]
Next Thursday February 29, 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: Energy Estimates, Semigroups, and The Weakly Damped Wave Equation Speaker: Lorenzo Liverani Affiliation: FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and […]
On Monday February 26, 2024, Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the winter school Model Order Reduction Methods for Control and Machine Learning, organized at the UM6P, Université Polytechnique Mohammed VI on February 26 – 29, 2024 in Benguerir, Morocco. Abstract. Control theory and Machine […]
On Monday February 19, 2024, Prof. Enrique Zuazua will talk on Control and Machine Learning at the DEDS2024, Differential Equations for Data Science 2024, the international conference organized (online) on February 19 – 21, 2024. Abstract. In this lecture we shall present some recent results on the interplay between control […]
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 […]
On February 15, 2024 Prof. Enrique Zuazua will talk on Contrôle et apprentissage automatique an event organized by the Adria Business & Technology and the moroccan association Math & Maroc. Abstract. La motivation de contrôler les machines remonte à l’antiquité: des machines exécutent automatiquement le travail de l’homme afin que […]
Next Thursday February 08, 2023: 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: Non-convex aggregative optimization problems and their mean-field relaxation Speaker: Kang Liu Affiliation: FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics […]
Next Summer, on Wednesday August 7, 2024 our Akad. Director Prof. Dr. Martin Gugat will talk on “The turnpike property and stabilization” at the TRR 154 Summer School on Optimization, Uncertainty and AI organized on August 7-9, 2024 at Universität Hamburg. Abstract. TBA WHEN Wed. August 7, 2024 at 14:00H […]
Next Thursday January 18, 2023: 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: Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions Speaker: Sebastián Zamorano Aliaga Affiliation: University […]
Date: Thu. January 11, 2024 Event: FAU MoD Lecture Organized by: FAU MoD, the FAU Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: The role of Artificial Intelligence in the future of mathematics Speaker: Prof. Dr. Amaury Hayat Affiliation: École des Ponts ParisTech, France Abstract. […]
On January 9, 2024 Prof. Enrique Zuazua will talk on “Control, Cibernetics and Artificial Intelligence” (Control, Cibernética e Inteligencia Artificial) at the IUI Conference Mathematical Modeling: Theory and Applications (“Jornada IUI Modelización matemática: teoría y aplicaciones”) organized at the University of Zaragoza (Spain). The conference will be dedicated to the […]
On December 24, 2023 Prof. Enrique Zuazua will talk on “Control and Machine Learning” (S3-1) at the Symposium Controllability and Differential Equations of the 89th Annual Conference of Indian Mathematical Society an international meet organized annually by the IMS, Indian Mathematical Society, this year at BITS Pilani (India) on December […]
Control of multi-particle systems, mean-field limits, and applications to deep learning (Steuerung von Mehrteilchensystemen, Mean-Field Limits und Anwendungen für Deep Learning) Project Nº: 530756074 Affiliated Entities: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany), Catholic University of Korea (CUK, South Korea) Supported by DFG (Deutsche Forschungsgemeinschaft/ German Research Foundation) and NRF. Südkorea-NRF-DFG-2023 programme Duration: […]
Next Monday December 11, 2023: Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Randomized POD-Beyn algorithm for nonlinear eigenvalue problems – analysis and perspectives Speaker: Luka Grubišić Affiliation: University of Zagreb (Croatia) Abstract. We present a method […]
On Wednesday December 13, 2023 Prof. Enrique Zuazua will talk on “AI techniques in guidance control problem and space missions – Control and Machine Learning” as part of the Topic 1: Manifold dynamics, trajectory design, and related control aspects of the conference “New trends and challenges in optimisation theory applied […]
Next Tuesday December 12, 2023 our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the MATH-DT, Mathematical Opportunities in Digital Twins Workshop at GMU, George Mason University on December 11-13, 2023. This workshop brings together key experts working in many aspects of mathematics, key application fields, […]
Next Wednesday December 6, 2023 our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the Workshop on recent advances in kinetic theory and related models organized at the Beijing International Center for Mathematical Research, Pekin University on December 4-8, 2023. Abstract. In this lecture we shall […]
PINNs Introductory Code for the Heat Equation This repository provides some basic insights on Physics Informed Neural Networks (PINNs) and their implementation. PINNs are numerical methods based on the universal approximation capacity of neural networks, aiming to approximate solutions of partial differential equations. Recently, extensive focus has been on approximating […]
Next Thursday November 30, 2023 our Visiting Scientist Prof. Ahmet Ozkan Ozer will talk on “Advances in Controlling Magnetizable Piezoelectric Systems: PDE Models, Model Reductions, and Interactive Simulations” organized at FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg. Asbtract. Magnetizable piezoelectric materials, pivotal in various engineering applications, exhibit intricate interactions between mechanical and electromagnetic […]
On Friday December 1, 2023 our postdoctoral researcher Dr. Maria Filipkovska will talk on “Lagrange and Lyapunov stability of degenerate differential equations” at the Dynamical systems and control seminar organized at Julius-Maximilians-Universität Würzburg. Abstract. The development of modern technologies leads to the appearance of various types of nonlinear mathematical models […]
Next Thursday November 30, 2023 our Visiting Scientist Prof. Ahmet Ozkan Ozer will talk on “Advances in Controlling Magnetizable Piezoelectric Systems: PDE Models, Model Reductions, and Interactive Simulations” organized at FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg. Asbtract. Magnetizable piezoelectric materials, pivotal in various engineering applications, exhibit intricate interactions between mechanical and electromagnetic […]
Schöne Mathematik für Künstliche Intelligenz Last month, FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg interviewed our Head Prof. Enrique Zuazua on “Beautiful mathematics for Artificial Intelligence” (Schöne Mathematik für Künstliche Intelligenz) that appeared at the FAU Magazin 2023/2024: This the English version of the original interview (in German) October 30, 2023 Three questions for […]
Date: Wed. November 22, 2023 Event: FAU MoD Lecture Series (Special double session. November 2023) Organized by: FAU MoD, the FAU Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) First session: 13:45H FAU MoD Lecture: Prospects of formalized mathematics Speaker: Prof. Dr. Michael Kohlhase Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg. Carnegie […]
On November 23 – 27, our Head Prof. Enrique Zuazua is giving a historical introduction to Control and Machine Learning and then talking on control of finite dimensional systems and Supervised Learning by Control Methods at the Tutorial lecture series on “Advanced Topics Systems Control” organized (online) from November 23 […]
Next Thursday November 23, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “Hyperbolic approximations in fluid mechanics: Hypocoercivity and hybrid Besov spaces” at the Nanjing University of Aeronautics and Astronautics. Abstract. We investigate the relaxation limits associated with partially dissipative systems in the context of fluid mechanics. As […]
Next Monday November 20, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “A survey on partially dissipative systems: global well-posedness and strong relaxation limit in the critical regularity setting” at the Nanjing University of Aeronautics and Astronautics, China. Abstract. In this talk, we review recent results on so-called […]
On November 17, 2023 our Head Prof. Enrique Zuazua will talk on Control and Machine Learning at the ICMAM Latin America Satellite Conference on Data Science, AI, and Machine Learning organized by ICMAM Latin America. Abstract. In this lecture we shall present some recent results on the interplay between control […]
Next Thursday November 9, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “Hyperbolic Approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces” at the conference “Critical phenomena in nonlinear partial differential equations, harmonic analysis and functional inequalities” in honour of Prof. Takayoshi Ogawa on his 60th birthday. […]
On November 7, 2023 our Head Prof. Enrique Zuazua will talk on “Optimal placement of sensors and actuators” at the “Control of Partial Differential Equations in Hauts-de-France” (CPDEs2023) organized by UPHF, Ulille, ULCO on November 6-8, 2023 in France. Asbtract. In this lecture we shall discuss the problem of sensor […]
On Mon. November 6, 2023 our Visiting Scientist Prof. Ahmet Ozkan Ozer will talk on “Recent progresses and open problems in controlling magnetizable piezoelectric systems” at the “Control of Partial Differential Equations in Hauts-de-France” (CPDEs2023) organized by UPHF, Ulille, ULCO on November 6-8, 2023 in France. Asbtract. Magnetizable piezoelectric materials […]
Limits of the stabilization of a networked hyperbolic system with a circle 1 Introduction In this post, we discuss the exponential stability of a networked hyperbolic system with a circle. In many applications, the graphs of these networks contain cycles, such as pipeline networks for gas transportation (see, for example, […]
Date: Thu. November 02, 2023 Event: FAU DCN-AvH Jr. Seminar Organized by: FAU DCN-AvH at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Hybrid parabolic-hyperbolic property for heat equations with memory Speaker: Prof. Dr. Yubiao Zhang Affiliation: Postdoctoral Researcher at FAU DCN-AvH. Humboldt Research Fellowship for Experienced Researcher Abstract. This talk aims to introduce the hybrid […]
Join us this Saturday October 21, 2023 at the #NdW23! Our FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship will be at the “Lange Nacht der Wissenschaften” (Long Night of Sciences) in Erlangen, Fürth and Nürnberg with: Optimale Steuerung einer Schafherde By our […]
Next Thursday October 19, 2023 our Senior scientist Prof. Dr. Giovanni Fantuzzi will talk on “Data-driven system analysis: Polynomial optimization meets Koopman” at the Aerodynamics & Control Seminars, hosted by the Department of Aeronautics at Imperial College London. Abstract. Questions about stability, long-time behaviour, and the effect of uncertainty are […]
On October 13th, 2023 the Bavarian University Center for Latin America (BAYLAT, Bayerische Hochschulzentrum für Lateinamerika) and our Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship (FAU DCN-AvH) at Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) are hosting a joint virtual-meeting to present potential Bavaria-Latinamerican collaborations in the area […]
Date: Wed. October 11, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Free boundary regularity for the obstacle problem Speaker: Prof. Dr. Alessio Figalli Affiliation: ETH Zürich, Switzerland Abstract. The classical obstacle problem consists of finding […]
Stability of hyperbolic systems with non-symmetric partial dissipation Introduction In this post, we report new results for -components linear hyperbolic systems in of the type The unknown () depends on the time variable and on the space variable , is a symmetric matrix and is a semidefinite positive matrix […]
Date: Tue. September 19, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks Speaker: Prof. Xue-Cheng Tai Affiliation: Norwegian Research Centre Abstract. For problems in image processing and many other fields, a large class of effective neural networks […]
Date: Thursday September 14, 2023 at 16:00H Event: FAU DCN-AvH Seminar 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: Global existence for the 2D Kuramoto-Sivashinsky equation Speaker: Prof. Dr. Anna Mazzucato Affiliation: Penn State University […]
Next Friday September 15, 2023 (at 10:00H local time) our Head Prof. Enrique Zuazua will talk on “Control, Cybernetics and Artificial Intelligence” organized by the Science and Technology Association at Jilin University (China). Abstract. Systems control, or cybernetics, according to the term first coined by Ampère and later popularized by […]
Neural ODEs for interpolation and transport: From tight to shallow Introduction We consider in our work residual neural networks (ResNets) which take the form for some initial input . The states are the output after each layers, with being the final output. The depth of the neural network is the […]