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2021-09-29: LP duality, Carathéodory's theorem

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)…

From  Matthias Koeppe 0 likes 28 plays 0  

abiy.tasissa.5.11

Abstract: Sparse Manifold clustering and embedding (SMCE) is an algorithm to cluster nonlinear manifolds using self-representation in the dictionary of data points and a proximity regularization. A…

From  Stefan Schonsheck 0 likes 16 plays 0  

lastQ&A.mp4

From  Jesus De Loera 0 likes 26 plays 0  

QandA-proj3 finalB

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QandA-proj3 finalA

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LP Polyhedra-Lec13

perturbation method, complexity of simplex method, primal and dual dictionaries.

From  Jesus De Loera 0 likes 16 plays 0  

LP Polyhedra-Lec12

Dealing with initialization and degeneracy

From  Jesus De Loera 0 likes 17 plays 0  

LP Polyhedra-Lec11

more on simplex method

From  Jesus De Loera 0 likes 26 plays 0  

MHI 289I, Fall 2020, Lecture #16

This is a recording of the sixteenth lecture, recorded by Zoom

From  Matt Bishop 0 likes 16 plays 0  

2020-11-23: Cutting plane algorithms (MAT 168 Optimization)

Separation of constraints within a cutting-plane algorithm for solving an LP with exponentially many constraints. Warm starts: Adding a valid inequality to a dictionary by rewriting it in the…

From  Matthias Koeppe 0 likes 23 plays 0  

2020-11-16: LP duality, complementarity (MAT 168 Optimization)

Dual (complementary) basis; dual dictionary, negative transpose property of the dictionary pair; complementarity of primal and basic dual solutions; dual simplex method; complementary slackness…

From  Matthias Koeppe 0 likes 31 plays 0  

MHI 289I, Fall 2020, Lecture #12

This is a recording of the twelfth lecture, made by Zoom.

From  Matt Bishop 0 likes 14 plays 0  

MHI 289I, Fall 2020, Lecture #11

This is a recording of the eleventh lecture, made by Zoom.

From  Matt Bishop 0 likes 19 plays 0  

2020-10-28: LP pivot rules, fundamental theorem (MAT 168 Optimization)

Pivot rules. Unboundedness. The simplex method with lexicographic perturbation and a deterministic pivot rule as an algorithm. Fundamental theorem of linear optimization. Preview of LP development…

From  Matthias Koeppe 0 likes 27 plays 0  

2020-10-26: Simplex method with perturbations (MAT 168 Optimization)

Resolving degeneracy using lexicographic perturbations. Finite termination of the simplex method with lexicographic perturbations. notes-2020-10-26.pdf Videos and all other materials are copyright…

From  Matthias Koeppe 0 likes 27 plays 0  

2020-10-23: Extreme points, degeneracy, finiteness (MAT 168 Optimization)

Going from an LP in standard equation form to the (primal) dictionary in matrix form for an arbitrary basis. Extreme points as vertices (= 0-dimensional faces) of the polyhedron of feasible points.…

From  Matthias Koeppe 0 likes 40 plays 0