workshops:workshop0125

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workshops:workshop0125 [2025/01/08 10:34] – Add speaker, remove organizer lkastnerworkshops:workshop0125 [2025/01/24 10:18] (current) – [polymake conference] weis
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 Please fill out the [[workshops:workshop0125:registration|registration form]]! Please fill out the [[workshops:workshop0125:registration|registration form]]!
  
-===Preliminary Schedule===+===Schedule===
 <HTML><div style="width: 100%;"><div style="float: left; padding-right: 10px; width: 800px;"></HTML> <HTML><div style="width: 100%;"><div style="float: left; padding-right: 10px; width: 800px;"></HTML>
 ^ **Friday**                                                                                                                     || ^ **Friday**                                                                                                                     ||
 | 09:00-09:30  | **Registration**                                                    |                                      || | 09:00-09:30  | **Registration**                                                    |                                      ||
-| 09:30-10:30  | **Talk: TBA **                                                            || +| 09:30-10:30  | **Talk: Polyhedral Computations using Linear Optimization Oracles **                                                             || 
-| :::          | // Marc Pfetsch //                                                                                           ||+| :::          | // [[https://www2.mathematik.tu-darmstadt.de/~pfetsch/index.en.html|Marc Pfetsch]] //                                                                                            ||
 | 10:30-11:00  | **Break and Helpdesk**                                                                                   || | 10:30-11:00  | **Break and Helpdesk**                                                                                   ||
-| 11:00-12:00  | **Tut: TBA ** E-N 058                           | **Tut: TBA** E-N 057  || +| 11:00-12:00  | **Tut: polymake basics ** E-N 058                           | **Tut: Oscar-polymake Tips and Tricks** E-N 057  || 
-| :::          | // TBA //                                   | //TBA// ||+| :::          | // [[https://page.math.tu-berlin.de/~makhlin/|Igor Makhlin]]  //                                   | // [[https://antonydellavecchia.github.io/|Antony Della Vecchia]] // ||
 | 12:00-14:00  | **Lunch and Coffee**                                 || | 12:00-14:00  | **Lunch and Coffee**                                 ||
-| 14:00-15:00  | **Tut: TBA**                            | **Tut: TBA**     +| 14:00-15:00  | **Tut: application tropical** E-N 058                 | **Tut: Matroids in Polymake and Oscar**  E-N 057   
-| :::          | // TBA //                                | // TBA //               |+| :::          | // [[https://page.math.tu-berlin.de/~weis/|Lena Weis]] //                                | //[[https://page.math.tu-berlin.de/~wack/|Marcel Wack]] & [[https://sites.google.com/view/dantelubermath/home|Dante Luber]] //              |
 | 15:00-15:30  | **Break and Helpdesk**                                                                                   || | 15:00-15:30  | **Break and Helpdesk**                                                                                   ||
-| 15:30-16:30  | ** TBA ** ||+| 15:30-16:30  | ** Use cases ** || 
 +|   | ** Exploring polytropes through secondary fans ** || 
 +|   | // [[https://kafe.dev/|Kamillo Ferry]] // || 
 +|   | ** Algebraic shifting ** || 
 +|   | // [[https://page.math.tu-berlin.de/~lenzen/|Fabian Lenzen]] // ||
 | 16:30-18:15  | **Helpdesk**                                                                                             || | 16:30-18:15  | **Helpdesk**                                                                                             ||
 | ~18:45       | **Dinner** (self paid, at [[http://cafe-hardenberg.com/|Café Hardenberg]])                                        || | ~18:45       | **Dinner** (self paid, at [[http://cafe-hardenberg.com/|Café Hardenberg]])                                        ||
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 === Abstracts === === Abstracts ===
-TBA+== Marc Pfetsch: Polyhedral Computations using Linear Optimization Oracles == 
 + 
 +This talk will cover two topics in which polyhedral computations are  
 +based on an indirect access to the underlying polyhedron via an oracle  
 +that can solve linear optimization problems. In both cases, the oracle  
 +is given by the (computationally expensive) solution of a mixed-integer  
 +linear optimization problem. 
 + 
 +The first topic deals with the computation of so-called local cuts.  
 +These are inequalities that can be added during a branch-and-cut  
 +algorithm to solve mixed-integer linear problems. The idea is to  
 +generate these inequalities by using small (local) subproblems for which  
 +the oracle is reasonably fast in practice. The inequalities can be  
 +constructed using a so-called Frank-Wolfe algorithm, which computes a  
 +projection onto the polyhedron. 
 + 
 +The second topic is about sensitivity analysis of mixed-integer linear  
 +optimization problems. We would like to compute the normal cone at a  
 +particular vertex. Since the polyhedron is not directly accessible, an  
 +algorithm that iteratively builds the cone is designed. In each main  
 +iteration the cone is possibly extended by a ray that is computed using  
 +the oracle and a beneath-and-beyond step is performed. 
 + 
 +== Igor Makhlin: polymake basics == 
 + 
 +In this tutorial, we will see some basic computations to get acquainted with polymake objects. Download Jupyter notebook [[https://polymake.org/lib/exe/fetch.php/workshops/polymake_basics_2025.ipynb|here]]. 
 + 
 +== Antony Della Vecchia & Benjamin Lorenz == 
 + 
 +An interactive session exposing some of the glue between Oscar and polymake. 
 + 
 +== Lena Weis == 
 + 
 +An interactive session introducing tropical computations in polymake. The notebook can be found {{ :workshops:tropical.ipynb |here}}. 
 + 
 +== Marcel Wack & Dante Luber == 
 + 
 +An interactive session exploring all things matroid in polymake and Oscar.  
 + 
 +==Kamillo Ferry: Exploring polytropes through secondary fans== 
 + 
 +Polytropes are a special class of polyhedra with applications to optimization and statistics.  
 +We explore the combinatorics of polytropes using secondary fans of special point configurations.
  
 =====Hotel recommendations in proximity of the Institute of Mathematics:===== =====Hotel recommendations in proximity of the Institute of Mathematics:=====
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 ===== Local organizers ===== ===== Local organizers =====
-  - [[https://page.math.tu-berlin.de/~wack/|Marcel Wack]] 
   - [[https://page.math.tu-berlin.de/~weis/|Lena Weis]]   - [[https://page.math.tu-berlin.de/~weis/|Lena Weis]]
 Please contact us with any questions about the workshop. To email us, please use ''LASTNAME@math.tu-berlin.de''. Please contact us with any questions about the workshop. To email us, please use ''LASTNAME@math.tu-berlin.de''.
  • workshops/workshop0125.1736332441.txt.gz
  • Last modified: 2025/01/08 10:34
  • by lkastner