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Overview

The advent of the control theoretic perspective on learning with deep residual neural networks has recently been shown to be not only a reliable computational tool, but also a fruitful avenue for providing original theoretical results to a multitude of problems. These include adversarial robustness, generative modelling and generalisation bounds, to name a few. Similarly, dynamic Bayesian networks, which are the central paradigm in statistical ML, can be analysed with the help of classical CT tools like Kalman filters. The aim is to explore these connections and contribute to the mathematics of reliable ML.

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Tasks

1. Obtaining error estimates for ML surrogates
2. Theoretical guarantees for physics-informed neural networks
3. Application of Game Theory to ML
4. Kalman filters in statistical ML
5. Analysis of high-dimensional deep neural networks and transformers using CT tools

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Working group leaders

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Working group members (119)

• Agnieszka Wiszniewska-Matyszkiel — University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
• Albert Alcalde — Friedrich-alexander-universitaet Erlangen-nuernberg, Germany
• Alessandro Pierro — Ludwig-Maximilians-Universität München, Germany
• Alex Viguerie — Universita degli Studi di Urbino Carlo Bo, Italy
• Ali Kalyon — Yalova University, Türkiye
• Aljoša Peperko — Institute of Mathematics, Physics and Mechanics, Jadranska ulica 19, 1000 Ljubljana, Slovenia
• Alpay Özcan — Bogazici University, Electrical and Electronics Eng., Türkiye
• Amine Othmane — Universitat Des Saarlandes, Germany
• Amy Nejati — University of Newcastle upon Tyne, United Kingdom
• Ana Radulovic — The Institute for Public Health of Montenegro, Montenegro
• Anand Subramoney — Royal Holloway And Bedford New College, United Kingdom
• Anna Doubova — Universidad de Sevilla, Spain
• Antonio Di Maio — ETH Zurich, Switzerland
• Antonio Silveti-Falls — CentraleSupélec, France
• Aviv Gibali — Holon Institute of Technology, Golomb Street 52, 58102 Holon, Israel
• Aybala Sevde Özkapu — Selcuk Universitesi, Türkiye
• Benjamin Schäfer — Karlsruhe Institute of Technology, Germany
• Benjamin Unger — Karlsruhe Institute of Technology, Germany
• Birgit Hillebrecht — Karlsruhe Institute of Technology, Germany
• Bojan Srdjevic — University of Novi Sad, Serbia
• Boumediene Hamzi — California Institute of Technology, East California Boulevard 1200, 91125 Pasadena, United States
• Brynjulf Owren — Norges teknisk-naturvitenskapelige universitet, Norway
• Casim Yazici — Agri Ibrahim Cecen University, Türkiye
• Celaleddin Yeroglu — Iskenderun Technical University, Türkiye
• Cesare Molinari — Universita Degli Studi Di Genova, Via Dodecaneso 35, 16146 Genova, Italy
• Cristina Trombetti — Università degli Studi di Napoli Federico II, Corso Umberto I 40, 80138 Napoli, Italy
• Dante Kalise — Imperial College Of Science Technology And Medicine, United Kingdom
• Delphine Bresch-Pietri — MINES ParisTech, Paris, France
• Deniz Kaya — Dokuz Eylul University, Türkiye
• Dennis Gramlich — RWTH Aachen Universiy, Germany
• Dilara Kilinc — Budapest University of Technology and Economics, Hungary
• Dilek Erdogan — Selcuk Universitesi, Türkiye
• Dragana Dudic — ALFA BK University, Serbia
• Edoardo Caldarelli — Fondazione Istituto Italiano Di Tecnologia, via San Quirico 19D, 16163 Genova, Italy
• Elena Celledoni — Norges teknisk-naturvitenskapelige universitet, Norway
• Eloi Martinet — Julius-Maximilians-Universität Würzburg, Germany
• Emilia Fridman — Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
• Enrique Zuazua — Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
• Enver Tatlicioglu — Ege University, Türkiye
• Erdem Ciftci — GAZI UNIVERSITESI, Türkiye
• Erjon Duka — University Aleksander Moisiu Durres, Currila, 2001 Durres, Albania
• Erlend Grong — University of Bergen, Realfagbygget, Bergen, Norway
• Eşref Erdoğan — Selcuk Universitesi, Türkiye
• Federica Gazzelloni — Independent Researcher, Italy
• Francisco Periago — Universidad Politecnica De Cartagena, Plaza Del Cronista Isidoro Valverde Edificio La Milagrosa, 30202 Cartagena, Spain
• Genni Fragnelli — Università degli studi di Siena, Italy
• Giovanni Fantuzzi — Friedrich-alexander-universitaet Erlangen-nuernberg, Germany
• Gökhan Çetin — Gumushane University, Türkiye
• Haitong Xu — Associacao Do Instituto Superior Tecnico Para A Investigacao E Desenvolvimento, Portugal
• Halil Ibrahim Dokuyucu — Karadeniz Teknik Universitesi, Türkiye
• Hasibe Candan Kadem — Bursa Technical University, Türkiye
• Ioan Liviu Ignat — Institute of Mathematics Simion Stoilow of the Romanian Academy, Calea Grivitei 21, 10702 Bucharest, Romania
• Ion Necoara — National University of Science and Technology POLITEHNICA Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania
• James Kennedy — Universidade de Aveiro, Aveiro, Portugal
• Jan Saro — Czech University of Life Sciences Prague, Czech Republic
• Jasmin Velagic — University of Sarajevo, Obala Kulina Bana 7, 71000 Sarajevo, Bosnia and Herzegovina
• Jongrae Kim — University of Leeds, United Kingdom
• Josef Teichmann — ETH Zürich, IFW D 49.2, Zürich, Switzerland
• Juan Ricardo Munoz — Sveuciliste U Dubrovniku, Croatia
• Juri Belikov — Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia
• Jurij Ruzejnikov — Ustav Teorie Informace A Automatizace Av Cr Vvi, Czech Republic
• Jérôme Lohéac — Université de Lorraine, CNRS, CRAN, Avenue de la forêt de Haye, F-54518 Vandoeuvre-lès-Nancy, France
• Klaudio Peqini — University of Tirana, Albania
• Konstantin Riedl — University of Oxford, United Kingdom
• Konstantinos Karatzas — Aristotle University of Thessaloniki, University Campus, 54124 Thessaloniki, Greece
• Krzysztof Rykaczewski — The Nicolaus Copernicus University in Toruń, Chopina 12/18, 87-100 Toruń, Poland
• Lars Grüne — Universität Bayreuth, Universitätsstrasse 30, 95447 Bayreuth, Germany
• Lorenzo Liverani — Friedrich-alexander-universitaet Erlangen-nuernberg, Germany
• Luana Chetcuti Zammit — University of Malta, Malta
• Lucas Schmitt — Julius-Maximilians-Universität Würzburg, Germany
• Lukas Gonon — Universität St. Gallen, Dufourstrasse 50, 9000 St. Gallen, Switzerland
• Maja Jolić — University of Novi Sad Faculty of Sciences, Serbia
• Marko Ruman — Institute of Information Theory and Automation of the Czech Academy of Sciences, Czech Republic
• Markus Abel — Ambrosys GmbH, Marlene-Dietrich-Allee 16, 14482 Potsdam, Germany
• Martin Lazar — Sveuciliste U Dubrovniku, Branitelja Dubrovnika 41, 20000 Dubrovnik, Croatia
• Matteo Santacesaria — Universita degli Studi di Genova, Italy
• Matthias Ehrhardt — University of Bath, United Kingdom
• Md Noor-A-Rahim — University College Cork, Western Road, T12 XF62 Cork, Ireland
• Meryem Deniz — Izmir Katip Celebi Universitesi, Türkiye
• Metin Turgay — Selcuk Universitesi, Türkiye
• Miroslav Karny — Institute of Information Theory and Automation of the Czech Academy of Sciences, Czech Republic
• Muhammed Emre Bayrakci — Selcuk Universitesi, Türkiye
• Muhammed Mevlüt Geneci — Selcuk Universitesi, Türkiye
• Nadezda Kunicina — Riga Technical University, Latvia
• Nesli Erdoğmuş — Izmir Institute Of Technology, Türkiye
• Nicola De Nitti — Universita Di Pisa, Italy
• Nurhan Gürsel Özmen — Karadeniz Teknik Universitesi, Türkiye
• Nurullah Yilmaz — Suleyman Demirel University, Türkiye
• Onur Kadem — Bursa Technical University, Türkiye
• Patricia Pauli — Eindhoven University of Technology, Netherlands
• Petros Stefaneas — National Technical University of Athens, Zografou Campus, 9 Iroon Polytechniou Str., 15772 Zografou, Athens, Greece
• Radmila Koleva — Ss. Cyril and Methodius University in Skopje, Rugjer Boshkovikj 18, 1000 Skopje, North Macedonia
• Rajani Singh — Copenhagen Business School, Howitzvej 60, 4th floor, 2000 Frederiksberg, Denmark
• Rasa Smidtaite — Kaunas University of Technology, Studentų g. 50, 51368 Kaunas, Lithuania
• Regaip Barkan Ugurlu — Ozyegin Universitesi, Türkiye
• Riccardo Bonalli — Université Paris-Saclay, France
• Roberto Morales — Universidad de Deusto, Spain
• Rıdvan Keskin — Mugla Sitki Kocman University, Türkiye
• Sadettin Kursun — İzmir Katip Çelebi University, Türkiye
• Samet Guler — Abdullah Gül University, Türkiye
• Sanja Konjik — University of Novi Sad, Novi Sad, Serbia
• Santiago Velasco-Forero — Ecole Nationale Superieure Des Mines De Paris, France
• Sara-Viola Kuntz — Technical University of Munich, Germany
• Sarah Ismail — Università degli Studi di Bari Aldo Moro, Italy
• Sebastian Scott — Julius-Maximilians-Universität Würzburg, Germany
• Seda Postalcioglu — Izmir Demokrasi Unversitesi, Türkiye
• Selin Büyüktaş — Baskent University, Türkiye
• Seyed Ali Sadegh Zadeh — Staffordshire University, United Kingdom
• Siavash Fakhimi Derakhshan — Ustav Teorie Informace A Automatizace Av Cr Vvi, Czech Republic
• Sule Taskingollu — Ege University, Türkiye
• Tim Roith — Deutsches Elektronen-synchrotron Desy, Germany
• Tuncer Acar — Selcuk University, Alaaddin Keykubat Yerleskesi, 42130 Selcuklu Konya, Türkiye
• Turgay Yalcin — Istanbul Gelisim University, Türkiye
• Vladimir Jaćimović — University of Montenegro, Cetinjski put 2, 81000 Podgorica, Montenegro
• Yahya Danayiyen — Karadeniz Teknik Universitesi, Türkiye
• Yannick Lunk — Julius-Maximilians-Universität Würzburg, Germany
• Yury Korolev — University of Bath, United Kingdom
• Özkan Öztürk — Giresun University, Türkiye
• İbrahim Kilic — Selcuk Universitesi, Türkiye

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