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
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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 […]
From June 10 – 14, 2024, our FAU MoD, Research Center for Mathematics of Data at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg is hosting the first “Trends in Mathematical Sciences” conference (in hybrid mode: on-site/online). This event is made possible thanks to the support of our FAU DCN-AvH, Chair for Dynamics, Control, Machine […]
Date: Mon. June 3, 2024 Event: FAU MoD Lecture Event type: On-site / Online Organized by: FAU MoD, the Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Promoting Gender Equity in Mathematics: Strategies and Solutions Speaker: Prof. Dr. Jaqueline Godoy Mesquita Affiliation: UnB, University of […]
On May 29-30, 2024, Prof. Enrique Zuazua is giving a course on “Control and Machine Learning” at the ML&OC24 summer school “Machine Learning and Optimal Control” on May 27-31, 2024 at Gaeta (Italy). Abstract. In this course we shall present some recent results on the interplay between control and Machine […]
Humboldt network meeting • Henriette Herz Scouting Programme Berlin, May 2024. On May 13-14, 2024 Prof. Enrique Zuazua has the honor to be part of the network meeting of the Henriette Herz Scouting Programme by Alexander von Humboldt Stiftung/Foundation, where 60 Humboldt Scouts exchanged ideas on how to increase excellence […]
On Friday May 17, 2024 Prof. Enrique Zuazua will talk as keynote speaker on “Optimal placement of sensors and actuators” at the ICOP 24, International Conference on Optimization, on May 16 – 18, 2024 at Sidi Mohamed Ben Abdellah University at Fez, Morocco. Abstract. Most of applications addressed in the […]
Date: Wed. May 15, 2024 Event: FAU MoD Lecture Event type: On-site / Online 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. […]
Next Thursday May 16, 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) 12:00H Title: Exploring the Dynamics of Phase Transitions: A Journey into Gamma-Convergence Speaker: Christopher Sorg Affiliation: PhD student at FAU DCN-AvH – Chair […]
Next Wednesday May 15, 2024: Event: FAU MoD Seminar Organized by: FAU MoD, Research Center for Mathematics of Data and FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Verifying Deep Reinforcement Learning Systems Speaker: Guy Amir Affiliation: […]
Next May 13, 2024 our Senior scientist Prof. Dr. Giovanni Fantuzzi will talk on “Moment-Sum-of-Squares relaxations for variational problems” organized within the research seminars “Nečas Seminar on Continuum Mechanics” at the Faculty of Mathematics and Physics of the Charles University (MFF UK). Abstract. Moment-Sum-of-Squares (moment-SOS) relaxations are an established technique […]
On May 7, 2024 Prof. Enrique Zuazua will talk on “Optimal placement of sensors and actuators” at the Matemáticas y memoria, an online seminar on Analysis and Partial Differential Equations organized by Uptc – Pedagogical and Technological University of Colombia, UNAM – University of Atlántico and GAPC – Ghent Analysis […]
Next Thursday May 2, 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: Clustering in Pure-Attention Hardmax Transformers Speaker: Albert Alcalde Affiliation: PhD student at FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics […]
Partially dissipative hyperbolic systems without Fourier analysis 1 Models We study the large-time behavior of the one-dimensional partially dissipative hyperbolic system where () is the vector-valued unknown, is a smooth matrix-valued symmetric function and is a positive semidefinite symmetric matrix. System (1.1) models non-equilibrium processes in physics for media […]
On April 30, 2024 Prof. Enrique Zuazua will talk on “Optimal placement and design of sensors and actuators” at the Variational Analysis, Models and Methods in Measure Spaces workshop organized at CIRM on April 29 to May 3, 2024. The goal of this workshop is to bring together international experts […]
Next Monday April 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: A shape optimization problem for improving the computational capability of the twin vortex computer Speaker: John Sebastian Simon Affiliation: Johann Radon Institute […]
Next Thursday April 25, 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: Efficient federated learning via the alternating direction method of multipliers Speaker: Ziqi Wang Affiliation: PhD student at FAU DCN-AvH Chair for Dynamics, […]
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 Event type: On-site / online 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, German […]
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, 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: 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 […]
Master Thesis: “Synthetic Training Data Generation for Point Cloud Defects” Author: Nishitha Yedalapalli Supervisor: Prof. Enrique Zuazua Date: January 29, 2024 In the field of aviation maintenance, white light interferometry is useful for detecting submillimeter cracks within combustion chambers. This cutting-edge technology gen- erates high-resolution point cloud data that captures […]