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 […]
darlis.dcn
440 posts
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 […]
Next Friday August 25, 2023 our postdoctoral researcher Michael Schuster, will talk on “Optimal Boundary Control for the semilinear Transport Equation under Uncertainty: A Turnpike Result” at ICIAM 2023 TOKYO, the 10th International Congress on Industrial and Applied Mathematics on August 20-25th, 2023. Abstract. We show an integral turnpike result […]
Date: Tue. August 1 – Fri. August 4, 2023 Event: CIN-PDE 2023 Erlangen-Shanghai. Workshop on Control, Inversion and Numerics for PDEs. Organized by: FAU MoD, Research Center for Mathematics of Data and the FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) and the […]
Combined convection and diffusion in a network. A numerical analysis. The problem: a contaminant in a network of water pipes Imagine that there is a network of pipes full of water. The water is flowing from some source nodes (say, some water plants) to some destination nodes (say, people’s homes). […]
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 […]
Next July 27, 2023 our postdoctoral researcher Michael Schuster, will talk on “Probabilistic Constrained Optimization on Gas Networks” at ICSP 2023, the XVI International Conference Stochastic Programming on July 24-28th, 2023, at University of California Davis (USA). Abstract. Uncertainty often plays an important role in gas transport and probabilistic constraints […]
Next Monday, July 17, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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) 11:00H Title: Stability and genericity in affine optimal control Abstract. For some applications is better […]
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach Motivation This post shows the source code from the paper “The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach”. (See reference below) We study the combination of the alternating direction method of multipliers (ADMM) with […]
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 […]
Date: Mon. July 10, 2023 at 14:00H 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: Large Data Solutions to 1-D Hyperbolic Systems, Ill-Posedness, and Convex Integration Speaker: Dr. Sam Krupa Affiliation: Max Planck Institute for […]
Date: Thu. July 6, 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: Physics-Based and Data-Driven-Based Algorithms for the Simulation of the Heart Function Speaker: Prof. Dr. Alfio Quarteroni Affiliation: Politecnico di Milano, Milan, Italy and Ecole […]
Reinforcement learning as a new perspective into controlling physical systems Introduction Optimal control addresses the problem of bringing a system from an initial state to a target state, like a satellite that we want to send into orbit using the least possible amount of fuel. Since the last century, mathematics […]
Date: Fri. June 30, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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) 11:35H Title: Stability of Elastic Systems with Local Damping Speaker: Prof. Dr. Qiong Zhang Affiliation: […]
Null controllability for population dynamics with age, size structuring and diffusion 1. Motivation and description of age, size structured model 1.1. Motivation Knowing the mechanisms of tumor growth can be useful for developing treatments. To mathematically describe its evolution from a global point of view, we can use a so-called […]
Date: Wed. June 21, 2023 at 16:00H 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: Differentiable Physics Simulations for Deep Learning Speaker: Prof. Dr. Nils Thürey Affiliation: TUM, Technical University of Munich Abstract.This talk focuses […]
Date: Wed. June 14, 2023 at 15:45H 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: Understanding the Role of Network Structure in Controlling Complex Networks Speaker: Prof. Dr. Jorge Cortes Affiliation: UC San Diego Abstract. […]
Date: Mon. June 5, 2023 at 11:00H 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: Learning of Dynamic Processes Speaker: Prof. Dr. Juan-Pablo Ortega Affiliation: Nanyang Technological University (Singapore) Abstract. The last decade has seen […]
The FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) is looking for several PhD and PostDocs on the topics: -Machine Learning and Control Theory -Long-time asymptotics of partial differential equations (PDE) -Numerical analysis of PDE -Control and Optimal Design -PDEs in networks Join […]
Math Crash Course FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: 2023 _ The math final exams are coming up and you’re still unsure? Don’t worry, with our Math Abi Crash Course, we can support you in mastering the Math Abi! In this course, we will work together on past year’s […]
Next May 31, 2023 our Head Prof. Enrique Zuazua will talk on “Control, Cibernética e Inteligencia Artificial” at the Coloquio Virtual Latinoamericano: Control, Cibernética e Inteligencia Artificial organized by CRC, Computational Science Research at San Diego State University (USA). Abstract. El control de sistemas, o la cibernética, según el término […]
Date: Tue. May 30, 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: From Physics-Informed Machine Learning to Physics-Informed Machine Intelligence: Quo Vadimus? Speaker: Prof. Dr. George Em Karniadakis (GS h-index 129) The Charles Pitts Robinson and […]
Date: Fri. May 26, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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: Convex functions and its applications Speaker: Prof. Dr. Çetin Yildiz Affiliation: Visiting Scientist […]
On May 22, 2023 our Head Prof. Enrique Zuazua will talk on “Controllability of Neural Differential Equations” at the 4th AFOSR Monterey Training Workshop on Computational Issues in Nonlinear Control-Topics organized on May 22-24, 2023 in California thanks to Air Force Office of Scientific Research (AFOSR) and University of California, […]
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 […]
Next Wed. May 17, 2023 at 19:00H our Head Prof. Enrique Zuazua will talk on “Numerics, Dynamics, Control and Machine Learning” at the Seminario de EDP e Matematica Aplicada organized by UFF, UFRJ, LNCC, U. Sevilla, UdeC and UEM (Brazil, Portugal, Spain, Peru, Chile). Abstract. In this lecture we shall […]
Inria International Chairs holder In May 2023, Prof. Enrique Zuazua has been awarded as a Holder of Inria International Chair to set up/reinforce an existing collaboration with the Inria teams. Topic: Control and Scientific Machine Learning Years: 2023-2027 • Check the the holders (2023) of Inria International Chairs. _ Don’t […]
Date: Thursday, May 11, 2023: Event: FAU DCN-AvH mini-workshop: Analysis, Numerics and Control 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: Optimal control for suppression of singularity in chemotaxis Speaker: Prof. Dr. Weiwei Hu […]
Next May 11, 2023 at 10:10H our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the conference Optimization and Control in Burgundy that aims to gather mathematicians from the two fields Optimization and Control to promote new exchanges and collaborations organized from May 9th-11st, 2023 at […]
On Tuesday May 9, 2023 our postdoctoral researcher Michael Schuster, will talk on “Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks” at Kolloqium Mathematik organized by the Department Mathematik at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany). Abstract. Uncertainty often plays an important role in gas transport and probabilistic […]
Breaking the symmetry with Robin boundary conditions Introduction Establishing symmetry properties of solutions to differential equations is a very important task in mathematical analysis, both from the theoretical point of view and for applications. Indeed, partial differential equations arise in modeling many phenomena in physics, mechanics, and so on. A […]
Date: Wed. May 03, 2023: 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: Inviscid limits of the compressible Navier-stokes equation to small BV solutions to Euler Speaker: Prof. Dr. Alexis Vasseur […]
Date: Thu. April 27, 2023 Time: 09:45H (11:45H GST) Where? On-site On April 27, 2023 our Head Prof. Enrique Zuazua will talk as keynote speaker on “Control and Machine Learning” at the ICMSAO’23, a venue for engineers and scientists from all over the world to share their latest research results […]
On Wednesday April 26, 2023, Prof. Dr. Joachim Hornegger, President of FAU and Prof. Dr. Veronica Grimm, member at FAU MoD will open the #FAUinsights lectures organised by FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg and EnCN, Energie Campus Nürnberg to discuss on hydrogen and its possible applications: • FAU’s hydrogen strategy (“Die Wasserstoffstrategie der FAU”) By […]
Date: Thu. April 20, 2023 at 11:00H 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: Error bounds for physics-informed (and) operator learning for PDEs Speaker: Tim De Ryck Affiliation: PhD Student […]
Date: Wed. April 19, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: From Alan Turing to contact geometry: Towards a “Fluid computer” Speaker: Prof. Dr. Eva Miranda Affiliation: UPC, Universitat Politècnica de Catalunya · BarcelonaTech Abstract. Is hydrodynamics […]
Date: Mon. April 17, 2023 Time: 16:00H Where? On-site / Online (zoom link below) On April 17, 2023 our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the Workshop Geometric Aspects of Evolution and Control organized on April 17-21, 2023 at the FernUniversität Hagen, Germany. Abstract. […]
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: –
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: […]
Convolutional autoencoders for very low-dimensional parametrizations of nonlinear fluid flow 1. Introduction The control of large-dimensional nonlinear dynamical systems is a challenging task because of the 1. system’s size that means a high demand in computational resources 2. and the nonlinearity that adds model inherent complexity to be resolved by […]
Millions in funding for Humboldt Professor Enrique Zuazua Another FAU researcher has prevailed in the competitive process for the Advanced Grants of the European Research Council (ERC): The mathematician and Humboldt Professor Dr. Enrique Zuazua will receive up to 2.5 million euros for his project “Control for Deep and Federated […]
Date: Wed. March 29, 2023: 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: Event-Triggered Control Using a Positive Systems Approach Speaker: Prof. Dr. Michael Malisoff Affiliation: LSU, Louisiana State University (USA) […]
Date: Mon. March 27, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) 11:00H Title: Null Controllability for Population Dynamics with age, size Structuring and Diffusion Speaker: Prof. Dr. Yacouba […]
Date: Thursday March 16, 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: Shape optimization problems in thermal insulation with thin insulating layers Speaker: Paolo Acampora Affiliation: PhD Student from Università degli Studi di Napoli Federico II […]
Date: Wednesday March 15, 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: Parabolic trajectories and the Harnack inequality Speaker: Lukas Niebel Affiliation: Ulm University Abstract. In this talk, we will study the Harnack inequality for weak […]