Date: Mon. September 19, 2022 Event: FAU MoD Lecture Series Organized by: FAU MoD, Research Center for Mathematics of Data at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU MoD Lecture “Learning-Based Optimization and PDE Control in User-Assignable Finite Time” Speaker: Prof. Dr. Miroslav Krstic Affiliation: University of California San Diego (USA) […]
FAU MoD Lecture: Learning-Based Optimization and PDE Control in User-Assignable Finite Time
388 posts
Start with tutorials to get familiar with the code Tutorial 1: Train a neural ODE based network on point cloud data set and generating a gif of the resulting time evolution of the neural ODE Code: Code is based on GitHub: borjanG : 2021-dynamical-systems that uses the torchdiffeq package GitHub […]
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 […]
Date: Tue. September 6, 2022 Event: M4CSA, Mathematics for Computer Science and Applications. Title: Control and Machine Learning Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Our Head Enrique Zuazua talked about “Control and Machine Learning” at the M4CSA, Mathematics for Computer Science and Applications.. The conference focused […]
• Gloria Paoli, Friedrich-Alexander-Universität Erlangen–Nürnberg • Ilias Ftouhi, Friedrich-Alexander-Universität Erlangen–Nürnberg • Alba Lia Masiello, Università degli Studi di Napoli Federico II Sharp estimates for the cheeger constant in the planar case View this poster
Event: CIN-PDE 2024 • Ilias Ftouhi, FAU DCN-AvH. Friedrich-Alexander-Universität Erlangen–Nürnberg • Enrique Zuazua, FAU DCN-AvH/FAU MoD. Friedrich-Alexander-Universität Erlangen–Nürnberg Optimal shape design of sensors via a geometric approach View this poster
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 […]
Author: Daniël Veldman, FAU DCN-AvH Code: A sheep herding game in MATLAB developed for the Long Night of Science #NdW22 (Lange Nacht der Wissenschaft) Erlangen-Furth-Nuernberg 2022. Main rules • The dog should drive sheep to the target (red). • You can steer the dog with the arrow keys. • The […]
Author: Martín Hernández, FAU DCN-AvH Code: In this repository, we show a code for Lloyd’s algorithm. Also called Voronoid iteration, this is an iterative algorithm finding for equispaced convex cells in euclidean space. Lloyd’s algorithm finds the distribution of the cells computing their center of mass and iteratively applying the […]
Date: July 13, 2022 Enrique Zuazua, 2022 W.T. and Idalia Reid Prize Laureate: Prof. Dr. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Award: Enrique Zuazua: 2022 W.T. and Idalia Reid Prize By: SIAM – Society for Industrial and Applied Mathematics Location: Room “Spirit of Pittsburgh A”. SIAMAN22, SIAM Annual Meeting. Pittsburgh, […]
Using the support function for optimal shape design 1 Motivation Led by problems of optimal placement and design of sensors, we are interested in considering the following shape optimization problem where is the Hausdorff distance between and defined as follows with is the distance from to the set . […]
Date: Fri. July 08, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Quantitative rapid stabilization of some PDE models Speaker: Prof. Dr. Shengquan Xiang Affiliation: Mathematical Institute for Data Science at Johns Hopkins University (USA) Abstract. […]
Date: Tue. July 05, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship Title: Quasi-reversibility methods of optimal control for ill-posed final value diffusion equations Speaker: Visitor scientist Prof. Dr. Mahamadi Warma Affiliation: George Mason University (USA) Abstract. We consider optimal control problems […]
Date: Fri. July 1, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Recent Advances in Analysis and Control” 10:00H Alejandro Aceves, Southern Methodist University “Optics with fractional diffraction” Slides Abstract. Advances in optics many times rely […]
Date: Wed. June 22, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Physics-inspired equivariant machine learning Speaker: Prof. Dr. Soledad Villar Affiliation: Mathematical Institute for Data Science at Johns Hopkins University (USA) Abstract. There has been enormous […]
Date: Mon. June 20, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Recent Advances in Analysis and Control” *Hybrid event (online & on-site) Recording/Video: (available soon) […]
The code implements the gradient regularization method of robust training in the setting of neural ODEs. Various jupyter notebooks are included that generate plots comparing standard to robust training for 2d point clouds. Code: A good starting point is robustness_plots.ipynb Code is based on GitHub: borjanG : 2021-dynamical-systems that uses […]
Date: Tue. June 14, 2022 Organized by: CIRM, Centre International de Rencontres Mathématiques (Marseille, France) Title: Optimal design of sensors and actuators Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Our Head Enrique Zuazua talked about “Optimal design of sensors and actuators” at the Theoretical and Numerical Trends […]
Practical course: Modeling, simulation, optimization FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer semester 2021 This course provides a practical introduction to some of the most commonly used discretization methods for PDEs (finite differences and finite elements) and their implementation in MATLAB. It also covers some of the basics of […]
Date: Fri. June 10, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Deep redatuming for PDE and inverse problems Speaker: Prof. Dr. Laurent Demanet Affiliation: MIT – Massachusetts Institute of Technology (USA) Abstract. Neural networks have been […]
Doctoral School of Information and Biomedical Technologies Polish Academy of Sciences: Modeling, Robust Design and Control of Gas Networks Institutions: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Systems Research Institute of the Polish Academy of Sciences (Warsaw, Poland) Duration: 2022 – now Simulation and Optimization on Finite Graphs is considered for the example of […]
Date: Wed. May 25, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Calculus of Variations and Functional Inequalities” 10:30H Tobias König, Institut de Mathématiques de Jussieu, Paris […]
Date: Tue. May 24, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop ““Model Reduction and Control” 15:00H Sebastian Peitz, Paderborn University (Universität Paderborn) “Efficient data-driven prediction […]
Date: Sat. May 21, 2022 18:00H – 00:00H Title: #NdW22 Long Night of Sciences (Lange Nacht der Wissenschaft) On Saturday May 21th, 2022 the #NdW22 “Lange Nacht der Wissenschaften” (Long Night of Sciences) took place in Erlangen, Fürth, and Nürnberg and our FAU DCN-AvH, Chair for Dynamics, Control, and Numerics […]
Date: Thu. May 19, 2022 Organized by: Durham University, Seminars in Mathematical Sciences Title: Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop Speaker: Visitor scientist Prof. Dr. Weiwei Hu Affiliation: University of Georgia (USA) Abstract. The question of what velocity fields effectively enhance or prevent transport and mixing, […]
Date: Wed. May 11, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Some observations on the turnpike property and optimal actuator design Speaker: Dr. Borjan Geshkovski Affiliation: MIT – Massachusetts Institute of Technology (USA) Abstract. The turnpike […]
Uniform Turnpike Property 1 Introduction In this post, we analyze a heat equation with rapidly oscillating coefficients dependent on a parameter , with a distributed control. We show that the uniform null controllability implies the uniform turnpike property, i.e., the turnpike property with constants independent of the -parameter. The main […]
Date: Mon. April 25, 2022 Organized by: BAYLAT, Bayerisches Hochschulzentrum für Lateinamerika Title: “Visit of the Embassy of Uruguay in Erlangen, Bavaria (Germany)” On Monday April 25, our Head Prof. Enrique Zuazua presented an overview on our FAU DCN-AvH Chair for Dynamics, Control and Numerics at Friedrich-Alexander-Universität Erlangen-Nürnberg during the […]
Date: Fri. April 29, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Robust Protection against Uncertainties in Discrete-Continuous Optimization Speaker: Prof. Dr. Frauke Liers Affiliation: FAU MoD Research Center for Mathematics of Data. Department of Data Science […]
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: –
Author: Borjan Geshkovski, MIT The interplay of control and Deep Learning By Borjan Geshkovski It is superfluous to state the impact deep (machine) learning has had on modern technology, as it powers many tools of modern society, ranging from web searches to content filtering on social networks. It is […]
Date: Fri. April 1, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Quantum algorithms for computing observables of nonlinear partial differential equations Speaker: Prof. Dr. Shi Jin Affiliation: Shanghai Jiao Tong University (China) Abstract. Nonlinear partial differential […]
Date: March, 2022 Book: Optimization and Control for Partial Differential Equations DOI: https://doi.org/10.1515/9783110695984 Chapter 3 Limits of stabilizability for a semilinear model for gas pipeline flow • Martin Gugat, Chair for Dynamics Control and Numerics – Alexander von Humboldt Prof. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) • Michael Herty, RWTH Aachen […]
Analysis and Control of Nonlinear Hyperbolic Systems with Degeneration on Networks DFG WA5144/1-1: Modellierung, Analysis und Steuerung degenerierter nichtlinearer hyperbolischer Systeme auf Netzwerken Project/grant No.: 504042427 Supported by DFG – Deutsche Forschungsgemeinschaft Individual Research Grant Duration: 2022 – 2024 Control for degenerate partial differential equations (PDEs) is needed many applications, […]
Date: March 10, 2022 (4 weeks) Organized by: Institut Élie Cartan de Lorraine Cycle “Science and Society” Title: Contrôle et apprentissage automatique (Control and Machine Learning) Speaker: Prof. Dr. Enrique Zuazua Affiliation: Affiliation: FAU DCN-AvH, Chair for Dynamics Control and Numerics – Alexander von Humboldt Prof., Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. La […]
Date: Fri. March 4, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Numerical algorithms as a tool that binds science disciplines with particular emphasis on matrix algorithms Speaker: Prof. Dr. Hab. Eng. Jerzy Respondek Affiliation: Department of […]
Nonlinear hyperbolic systems: Modeling, controllabiliy and applications The control theory of hyperbolic systems is an important topic in continuum and fluid mechanics. Networks of nonlinear hyperbolic systems arise in real world applications, e.g. planar or out-of-plane networks of vibrating strings, shearable beams, gas networks and shallow water systems. On these […]
Date: Wed. February 16, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: On adversarial training and perimeter minimization problems Speaker: Prof. Dr. Nicolas Garcia Trillos Affiliation: Department of Statistics, University of Wisconsin-Madison (USA) Abstract. SAdversarial training is […]
Date: Fri. February 11, 2022 Organized by: Durham University, Seminars in Mathematical Sciences Title: Explicit decay rates for discrete velocity BGK models Speaker: Dr. Tobias Wöhrer Affiliation: FAU DCn-AvH – Chair for Dynamics, Control and Numerics – Alexander von Humboldt Prof. (Germany) Abstract. In this talk we analyse the long-time […]
Date: Fri. February 4, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Modeling, simulation and control of multi-physical systems: A change of paradigm Speaker: Prof. Dr. Christian Kühn Affiliation: TU München (Germany) Abstract. Systems with multiple time […]
Date: Wed. February 2, 2022 Organized by: Laboratoire de Modélisation Mathématique et Numérique pour les Sciences de l’Ingénieur-LAMSIN, Université de Tunis El Manar (Tunisia) Title: LAMSIN Seminar: Control and Machine Learning Speaker: Prof. Dr. Enrique Zuazua Affiliation: FAU DCN-AvH, Chair for Dynamics Control and Numerics – Alexander von Humboldt Prof., […]
Date: Fri. January 21, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Modeling, simulation and control of multi-physical systems: A change of paradigm Speaker: Prof. Dr. Volker Mehrmann Affiliation: Technische Universität Berlin (Germany) Abstract. Most real world […]
Kinetic theory of Bose Einstein Condensates If a dilute gas of bosons, about one-hundred-thousandth the density of normal air, is cooled to a temperature very close to absolute zero (0 K or -273.15C), the gas will be changed into a new state of matter, called Bose-Einstein condensate (BEC). This state […]
Date: Fri. January 14, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-Workshop “Recent Advances in Analysis and Control” 13:00H Martin Lazar, -AvH Visiting Scientist at FAU, University of Dubrovnik “Optimal control of parabolic equations – a […]
Author: Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code: [HINT] To run the software on your computer, you may have to install additional standard software packages (like cmake and a c++ compiler) and additional libraries (lapack, PETSc). In order to optimize the operation of gas transportation networks, […]
Author: Carlos Esteve, Deusto CCM Code: In a previous post “Inverse Design For Hamilton-Jacobi Equations“, described all the possible initial states that agree with the given observation of the system at time on the reconstruction of the initial state in many evolution models. Our goal here is to study the […]
Author: Daniel Veldman, FAU DCN-AvH Code: || Also available @Daniël’s GitHub In a previous post “Randomized time-splitting in linear-quadratic optimal control“, it was proposed to use the Random Batch Method (RBM) to solve classical Linear-Quadratic (LQ) optimal control problems. This contribution is concerned with the corresponding numerical implementation. We thus […]