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44:23 MAT 168 Optimization lecture-2023-03-17 MAT 168 Optimization lecture-2023-03-17	MAT 168 Optimization lecture-2023-03-17 integer problem variables optimization solutions sum half linear argument thing problems formulation solution convex cycle vertices function symmetry middle inequalities From Matthias Koeppe 0 likes 19 plays 0
01:25:00 ECS20 - W23 - Lecture 19 (10T): Graphs ECS20 - W23 - Lecture 19 (10T): Graphs	ECS20 - W23 - Lecture 19 (10T): Graphs Lecture of 2022-03-08. Example of graphs. Informal description of isomorphism. Formal definition of isomorphic graphs. Status of deciding GRAPH ISOMORPHISM and of proving that two graphs are… graph vertices edges vertex graphs edge degree cycle degrees problem algorithm sum matrix clique bipartite From Phil Rogaway 0 likes 86 plays 0
53:12 ECS 235B Winter Quarter 2022, Lecture 3 ECS 235B Winter Quarter 2022, Lecture 3	ECS 235B Winter Quarter 2022, Lecture 3 Lecture 3, on January 7, 2022 of ECS 235B, Foundations of Computer and Information Security grant graph edge object edges subjects vertex vertices rules ticket tickets alpha buffer island rule things domain filter function types From Matthew Bishop 0 likes 19 plays 0
52:40 2021-10-11: Stable set: Integer programming… 2021-10-11: Stable set: Integer programming formulations, polyhedral combinatorics	2021-10-11: Stable set: Integer programming formulations, polyhedral combinatorics Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)… problem inequalities solution stab convex inequality linear formulation hull vertex solutions subset graph edge encoding step constraints integer function vertices From Matthias Koeppe 0 likes 12 plays 0
48:58 2021-10-27: Disjunctive, logic modeling,… 2021-10-27: Disjunctive, logic modeling, matching, TSP	2021-10-27: Disjunctive, logic modeling, matching, TSP Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)… problem inequalities formulation variables flow edges problems matching vertex optimization cycles edge vertices hull inequality formulations network lambda convex space From Matthias Koeppe 0 likes 6 plays 0
59:56 braxton.osting.4.20 braxton.osting.4.20	braxton.osting.4.20 Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed k, the method finds a convex polytope with k vertices, called archetype… points problem triangle analysis archetype convex vertices polytope consistency distance method point rate bit distribution result solution space dimension matrix From Stefan Schonsheck 0 likes 15 plays 0
39:38 LP Polyhedra-Lec10 LP Polyhedra-Lec10	LP Polyhedra-Lec10 The simplex method polyhedra variables solution equation function matrix x2 x1 solutions s3 method increment x3 s1 left halves problem times variable rank vertices From Jesus De Loera 0 likes 49 plays 0
42:40 Lecture168-Algorithms11(last) Lecture168-Algorithms11(last)	Lecture168-Algorithms11(last) optimization algorithms edges algorithm problem tree cut vertices walk graph edge approximation size s. cost homework degree tour matching probability sum solution From Jesus De Loera 0 likes 25 plays 0
13:09 mat168-modeling9.mp4 mat168-modeling9.mp4	mat168-modeling9.mp4 cities edges equations problem function sum subset salesman question parameters constraints s. vertices solutions triangle highways bit cardinality cost constraint From Jesus De Loera 0 likes 72 plays 0
27:08 mat168-modeling8 mat168-modeling8	mat168-modeling8 edges cycle cities problem equations edge subset sum variables solution cycles length cost equation graph vertex tour function vertices variable From Jesus De Loera 0 likes 136 plays 0
33:22 2020-12-07: Stable set problem, induced face… 2020-12-07: Stable set problem, induced face dimension (MAT 168 Optimization)	2020-12-07: Stable set problem, induced face dimension (MAT 168 Optimization) Determining the dimension of the face induced by a valid inequality for the stable set problem: Cycle inequality, lifted cycle inequality, clique inequality, edge inequality. notes-2020-12-07.pdfThe… dimension solutions inequality solution vectors rank matrix minus vector vertices point cycle inequalities problem convex vertex question facet linear x1 From Matthias Koeppe 0 likes 24 plays 0
46:53 2020-12-04: Stable set problem, formulations/cuts… 2020-12-04: Stable set problem, formulations/cuts (MAT 168 Optimization)	2020-12-04: Stable set problem, formulations/cuts (MAT 168 Optimization) The stable set (independent set) problem: Integer programming formulations, Chvátal–Gomory cuts. notes-2020-12-04.pdf Videos and all other materials are copyright 2020 Matthias… solutions inequalities inequality problem solution formulation integer vertices edge triangle optimization vertex cycle graph x2 edges gap x1 left half From Matthias Koeppe 0 likes 26 plays 0
51:27 2020-11-18: Traveling salesperson problem (TSP) 2020-11-18: Traveling salesperson problem (TSP)	2020-11-18: Traveling salesperson problem (TSP) Back to modeling: The (symmetric, metric) traveling salesperson problem (TSP) in the natural IP formulation. Subtour elimination constraints. Modeling with exponentially many constraints. Constraint… edges problem constraints tour vertex solution constraint formulation graph vertices degree things distances subset optimization s. variables cycle thing bit From Matthias Koeppe 0 likes 31 plays 0
01:25:45 ECS-175: 2020-11-10 11:00 ECS-175: 2020-11-10 11:00	ECS-175: 2020-11-10 11:00 ECS-175 Lecture 2020-11-10 at 11:00 color point triangles intensity values triangle distance screen pixels points times vector space light geometry k. model vertices level algorithm From Bernd Hamann 0 likes 129 plays 0
49:30 2020-10-30: Directed graphs, transportation… 2020-10-30: Directed graphs, transportation models (MAT 168 Optimization)	2020-10-30: Directed graphs, transportation models (MAT 168 Optimization) Directed simple graphs. Generalizing the assignment model to transportation models. notes-2020-10-30.pdf Videos and all other materials are copyright 2020 Matthias Köppe and shared as Open… supply demand graph model problem transportation arc side flow unit things drivers constraints variables node arcs vertices matrix driver suppliers From Matthias Koeppe 0 likes 30 plays 0
55:52 berkeley-combinatoricsseminar-April2020 berkeley-combinatoricsseminar-April2020	berkeley-combinatoricsseminar-April2020 I gave the following lecture in Zoom (COVID 19 era): Combinatorics in the Space of Monotone Paths of a Convex PolytopeAbstract Using a linear functional f on a convex polytope P induces an… mathematical sciences geometry (mathematics) graph theory and combinatorial geometry optimization combinatorics monotone polytope graph paths path vertex polytopes function simplex point method questions linear pivot vertices rule essences numbers question rules From Jesus De Loera 0 likes 29 plays 0