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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20191118T120000
DTEND;TZID=Europe/Berlin:20191206T120000
DTSTAMP:20191010T093502Z
CREATED:20191009T124453Z
LAST-MODIFIED:20191010T093502Z
UID:3062-1574078400-1575633600@alop.uni-trier.de
SUMMARY:Short Course on Tensor Numerical Methods in Scientific Computing
DESCRIPTION:Prof. Dr. Boris Khoromskij   with the assistance of Dr. Venera Khoromskaia is offering a short course on Tensor Numerical Methods in Scientific Computing at Trier University on behalf of the Research Training Group on Algorithmic Optimization.  \nThe course will consist of several two hour lectures as follows: \nMonday\,                           18 Nov 2019                   12:00 – 14:00                                                E 52 \nTuesday\,                          19 Nov 2019                   10:00 – 12:00                                                E 45 \nWednesday\,                     20 Nov 2019                   14:00 – 16:00                                              HS 10 \nThursday\,                         21 Nov 2019                   14:00 – 16:00                                                E 10 \nFriday\,                               22 Nov 2019                  10:00 – 12:00                                                E 44 \nMonday\,                              2 Dec 2019                   12:00 – 14:00                                                E 52 \nTuesday\,                             3 Dec 2019                   10:00 – 12:00                                                E 45 \nWednesday\,                       4 Dec 2019                    14:00 – 16:00                                              HS 10 \nThursday\,                           5 Dec 2019                   12:00 – 14:00                                                E 10 \nFriday\,                                 6 Dec 2019                   10:00 – 12:00                                                E 44 \nCourse Abstract:\nSolution of multi-dimensional problems by traditional numerical methods suffer from the so-called “curse of dimensionality”\, that cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a “smart” rank-structured tensor   representation of the multivariate functions and operators\, thus reducing solution of multidimensional integral-differential equations to 1D   calculations. We show how the canonical\, Tucker\, tensor train (TT)\, quantized-TT (QTT) and range-separated tensor approximations  provide the way to solve the multi-dimensional equations on  low-parametric rank-structured manifolds. We consider tensor methods for the elliptic optimal control problems\, for elliptic PDEs with oscillating coefficients and for some quantum chemical  models. Matlab exercises for the tensor decomposition algorithms will be provided. \nFor a printout of this information\, please click here. \n 
URL:https://alop.uni-trier.de/event/short-course-on-tensor-numerical-methods-in-scientific-computing/
CATEGORIES:Short Course
ORGANIZER;CN="RTG ALOP at Trier University":MAILTO:ALOP@uni-trier.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20191202T090000
DTEND;TZID=Europe/Berlin:20191202T100000
DTSTAMP:20191104T134817Z
CREATED:20191016T114357Z
LAST-MODIFIED:20191104T134817Z
UID:3120-1575277200-1575280800@alop.uni-trier.de
SUMMARY:ALOP Colloquium with Timm Faulwasser
DESCRIPTION:On Monday\, December 2 2019 at 9:00 c.t.  Prof. Dr. -Ing. Timm Faulwasser\, TU Dortmund will present his recent work entitled \nDissipativity and Turnpike Properties in Optimal Control – Insights and Open Problems\nIn many engineering disciplines and beyond (economics\, physics\, …) performance optimization under explicit consideration of dynamics and operational constraints\, i.e. optimal control\, plays a pivotal role. The last 60 years have seen tremendous progress in terms of optimality conditions and PMP formulations\, and in terms of powerful computational tools. In other words\, as such optimal control theory of finite dimensional systems is a mature subject. \nInspired by physical notions of dissipative and passive systems\, Jan Willems introduced a formal dissipativity notion in 1972\, which can be regarded as an extension of Lyapunov stability notions to systems with inputs [6\,7]. Yet\, triggered by recent developments on so-called economic Model Predictive Control (MPC) [1\,2]\, a system-theoretic notion of dissipativity of Optimal Control Problems (OCPs) has been subject to considerable recent research interest [3\,4\,5]. \nParallel to Willems´ work\, the 1970s also saw manifold contributions\, especially in economics\, to what is commonly called turnpike theorems of OCPs [8]. The term turnpike was coined in a seminal contribution by Dorfman\, Samuelson and Solow in 1958 [9]. It refers to a phenomenon of parametric OCPs\, whereby for varying initial conditions and horizon length\, the time the optimal solutions spend outside of a neighborhood of the turnpike steady state is bounded independent of the horizon length. Early observations of this phenomenon can be traced back to works of John von Neumann from the 1930s/40s. Recently\, turnpike properties have also been studied in time-varying and infinite-dimensional settings [10\,11]. \nThe main focus of this seminar is to provide insights into the link between turnpike and dissipativity properties of OCPs. Motivated by examples we will propose a formal definition of turnpike properties\, which enables the derivation of converse turnpike results.  To this end\, we recap the dissipativity notion of Willems and show how it can be applied to OCPs. Moreover\, we will also provide insights into different viewpoints on turnpikes (primal vs. primal-dual)\, which link the phenomenon with the stability of a specific equilibrium of the Hamiltonian optimality system. Finally\, we will provide an outlook on time-varying and periodic turnpikes and on turnpikes in mixed-integer problems \n  \nReferences \n\nAngeli\, David\, Rishi Amrit\, and James B. Rawlings. “On average performance and stability of economic model predictive control.” IEEE transactions on automatic control 57.7 (2011): 1615-1626.\nFaulwasser\, Timm\, Lars Grüne\, and Matthias A. Müller. “Economic nonlinear model predictive control.” Foundations and Trends® in Systems and Control 5.1 (2018): 1-98.\nFaulwasser\, T.\, Korda\, M.\, Jones\, C. N.\, & Bonvin\, D. (2017). On turnpike and dissipativity properties of continuous-time optimal control problems. Automatica\, 81\, 297-304.\nMüller\, Matthias A.\, David Angeli\, and Frank Allgöwer. “On necessity and robustness of dissipativity in economic model predictive control.” IEEE Transactions on Automatic Control 60.6 (2014): 1671-1676.\nGrüne\, Lars\, and Matthias A. Müller. “On the relation between strict dissipativity and turnpike properties.” Systems & Control Letters 90 (2016): 45-53.\nWillems\, Jan C. “Dissipative dynamical systems part I: General theory.” Archive for rational mechanics and analysis 45.5 (1972): 321-351.\nWillems\, Jan C. “Dissipative dynamical systems.” European Journal of Control 13.2-3 (2007): 134-151.\nMcKenzie\, Lionel W. “Turnpike theory.” Econometrica: Journal of the Econometric Society (1976): 841-865.\nDorfman\, R.\, Samuelson\, P. A.\, and RM Solow. Linear Programming and Economic Analysis (1958).\nGugat\, M.\, Trélat\, E.\, & Zuazua\, E. (2016). Optimal Neumann control for the 1D wave equation: Finite horizon\, infinite horizon\, boundary tracking terms and the turnpike property. Systems & Control Letters\, 90\, 61-70.\nGrüne\, L.\, Pirkelmann\, S.\, & Stieler\, M. (2018). Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. In Control Systems and Mathematical Methods in Economics (pp. 195-218). Springer\, Cham.\n\n  \nBio Sketch \nTimm Faulwasser has studied Engineering Cybernetics at the University Stuttgart\, with majors in systems and control and philosophy. He completed his PhD at the Otto-von-Guericke University Magdeburg\, Germany\, where he was also a member of the International Max Planck Research School for Analysis\, Design and Optimization in Chemical and Biochemical Process Engineering Magdeburg. 2013-2016 he was with the Laboratoire d’Automatique\, École Polytechnique Fédérale de Lausanne\, Switzerland. During 2015-2019 he led the Optimization and Control Group at the Institute for Automation and Applied Informatics\, Karlsruhe Institute for Technology. Since November 2019 he holds the Chair for Energy Efficiency at the Department of Electrical Engineering and Information Technology of TU Dortmund. \nHis main research interests are optimization-based and predictive control of networks of nonlinear systems with applications in energy systems\, process systems engineering and climate economics. \n  \nThe presentation will take place in E 51.  Coffee will be served. \n 
URL:https://alop.uni-trier.de/event/alop-colloquium-with-dr-timm-faulwasser/
CATEGORIES:Colloquium
ORGANIZER;CN="RTG ALOP at Trier University":MAILTO:ALOP@uni-trier.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20191204T120000
DTEND;TZID=Europe/Berlin:20191204T140000
DTSTAMP:20191128T141658Z
CREATED:20191128T141618Z
LAST-MODIFIED:20191128T141658Z
UID:3258-1575460800-1575468000@alop.uni-trier.de
SUMMARY:ALOP Colloquium with Stefan Weltge
DESCRIPTION:On Wednesday\, December 4\, 2019 at 12:00 c.t.\, Prof. Dr. Stefan Weltge\, Assistant Professor at Technical University Munich (TUM) will present his recent work entitled \nPersistency of Linear Programming Relaxations for Stable Set \nAbstract: \n  \nThe Nemhauser-Trotter theorem states that the standard linear programming (LP) relaxation for the stable set problem has a remarkable property\, also known as the (weak) persistency property:  for every optimal LP solution that assigns integer values to some variables\, there exists an optimal integer solution in which these variables retain the same values. \nWhile the standard LP is defined by only non-negativity and edge constraints\, a variety of stronger LP relaxations have been studied and one may wonder whether any of them is persistent as well. We show that any stronger family of LP relaxations that satisfies mild conditions cannot be persistent on all graphs\, unless it is always equal to the stable-set polytope. \nThis is recent joint work with Elisabeth Rodríguez-Heck\, Karl Stickler and Matthias Walter.   \n  \nThe presentation will take place in E 51. \nCoffee will be served.
URL:https://alop.uni-trier.de/event/alop-colloquium-with-stefan-weltge/
LOCATION:Trier University E Building\, Universitätsring 15\, Trier\, 54296\, Germany
CATEGORIES:Colloquium
ORGANIZER;CN="RTG ALOP at Trier University":MAILTO:ALOP@uni-trier.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20191211T120000
DTEND;TZID=Europe/Berlin:20191211T130000
DTSTAMP:20191115T102505Z
CREATED:20191114T131921Z
LAST-MODIFIED:20191115T102505Z
UID:3230-1576065600-1576069200@alop.uni-trier.de
SUMMARY:Research Seminar Talk by Lukas Winkel
DESCRIPTION:Lukas Winkel is scheduled to speak about his research entitled \n“A Soft Branch & Bound Algorithm for Mixed Integer Linear Complementarity Problems” \nin the Research Seminar on Wednesday\, December 11\,  2019 at noon in E 51.
URL:https://alop.uni-trier.de/event/research-seminar-talk-by-lukas-winkel/
LOCATION:Trier University\, E Building\, Universitätsring 15\, Trier\, Germany
CATEGORIES:Presentation
ORGANIZER;CN="RTG ALOP at Trier University":MAILTO:ALOP@uni-trier.de
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20191219T160000
DTEND;TZID=Europe/Berlin:20191219T170000
DTSTAMP:20191105T131541Z
CREATED:20191105T130829Z
LAST-MODIFIED:20191105T131541Z
UID:3179-1576771200-1576774800@alop.uni-trier.de
SUMMARY:ALOP Colloquium with Martine Labbé
DESCRIPTION:On Thursday\, December 19 2019 at 16:00 c.t.  Dr. Martine Labbé\, Université Libre de Bruxelles  will present her recent work \nTitle and Abstract will follow. \n  \nThe presentation will take place in HS 9. \nPlease join us for coffee at 15:45 in E10.
URL:https://alop.uni-trier.de/event/alop-colloquium-with-martine-labbe/
LOCATION:Trier University – E-Building – HS 9\, Universität Trier Gebäude E\, Trier\, Rhineland-Palatinate\, 54296\, Germany
CATEGORIES:Colloquium
ORGANIZER;CN="RTG ALOP at Trier University":MAILTO:ALOP@uni-trier.de
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