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ECS 235B Winter Quarter 2022, Lecture 3

Lecture 3, on January 7, 2022 of ECS 235B, Foundations of Computer and Information Security

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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)…

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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)…

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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…

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LP Polyhedra-Lec10

The simplex method

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Lecture168-Algorithms11(last)

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mat168-modeling9.mp4

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mat168-modeling8

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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…

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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…

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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…

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ECS-175: 2020-11-10 11:00

ECS-175 Lecture 2020-11-10 at 11:00

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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…

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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…

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