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50:11 2021-09-29: LP duality,… 2021-09-29: LP duality, Carathéodory's theorem	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)… convex lambda theorem bar dimension basis dictionary lp points space linear variables point transpose hull sum vector solution combinations geometry From Matthias Koeppe 0 likes 19 plays 0
47:29 abiy.tasissa.5.11 abiy.tasissa.5.11	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… points point problem atoms clustering coefficients dictionary reconstruction subspace algorithm graph sparsity coefficient network matrix representations linear representation manifold triangulation From Stefan Schonsheck 0 likes 11 plays 0
01:00:41 lastQ&A.mp4 lastQ&A.mp4	lastQ&A.mp4 polyhedron question solution problem points variables dictionary point direction vectors side vector matrix equation equations problems fact b. screen questions From Jesus De Loera 0 likes 23 plays 0
45:10 QandA-proj3 finalB QandA-proj3 finalB	QandA-proj3 finalB matrix question questions problem dictionary equation variables transpose problems inverse polar equations class optimization conditions slackness feasibility hint plane cone From Jesus De Loera 0 likes 30 plays 0
53:05 QandA-proj3 finalA QandA-proj3 finalA	QandA-proj3 finalA variables problem matrix dictionary function minus problems notation questions polyhedron inverse dimension solution column cost thing direction hint guys side From Jesus De Loera 0 likes 33 plays 0
32:54 LP Polyhedra-Lec13 LP Polyhedra-Lec13	LP Polyhedra-Lec13 perturbation method, complexity of simplex method, primal and dual dictionaries. polyhedra matrix variables dictionary method simplex function basis epsilon solution numbers slack problem variable algorithm algorithms linear expression rule inverse expressions From Jesus De Loera 0 likes 15 plays 0
38:23 LP Polyhedra-Lec12 LP Polyhedra-Lec12	LP Polyhedra-Lec12 Dealing with initialization and degeneracy polyhedra epsilon dictionary variables rule numbers basis variable function point problem solution choice rank choices letter cycle coefficient basics equation candidates From Jesus De Loera 0 likes 16 plays 0
43:34 LP Polyhedra-Lec11 LP Polyhedra-Lec11	LP Polyhedra-Lec11 more on simplex method polyhedra solution dictionary variable variables equation basics method problem simplex increment function x3 process values x1 pivot moment situation column phase From Jesus De Loera 0 likes 25 plays 0
57:27 MHI 289I, Fall 2020, Lecture #16 MHI 289I, Fall 2020, Lecture #16	MHI 289I, Fall 2020, Lecture #16 This is a recording of the sixteenth lecture, recorded by Zoom dictionary function abbreviations things thing words word spaces key numbers loop questions tab element couple input text lines abbreviation keys From Matt Bishop 0 likes 16 plays 0
49:05 2020-11-23: Cutting plane algorithms (MAT 168… 2020-11-23: Cutting plane algorithms (MAT 168 Optimization)	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… solution problem variables dictionary formulation inequality method solver lp relaxation constraint solutions simplex sum constraints cut tilde optimization inequalities bar From Matthias Koeppe 0 likes 20 plays 0
59:53 2020-11-16: LP duality, complementarity (MAT 168… 2020-11-16: LP duality, complementarity (MAT 168 Optimization)	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… dictionary variables basis bar method simplex solution solutions coefficients theorem problem complementarity thing slack optimality sum side fact feasibility function From Matthias Koeppe 0 likes 27 plays 0
01:02:01 MHI 289I, Fall 2020, Lecture #12 MHI 289I, Fall 2020, Lecture #12	MHI 289I, Fall 2020, Lecture #12 This is a recording of the twelfth lecture, made by Zoom. dictionary word words things key goodbye element thing keys values dot pair elements pairs ways lowercase computer reason x. notice From Matt Bishop 0 likes 14 plays 0
01:02:24 MHI 289I, Fall 2020, Lecture #11 MHI 289I, Fall 2020, Lecture #11	MHI 289I, Fall 2020, Lecture #11 This is a recording of the eleventh lecture, made by Zoom. dictionary word key thing things distance input function keys words end goodbye bit questions times blanks loop functions lines ground From Matt Bishop 0 likes 19 plays 0
50:18 2020-10-28: LP pivot rules, fundamental theorem… 2020-10-28: LP pivot rules, fundamental theorem (MAT 168 Optimization)	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… phase problem solution optimality basis dictionary method simplex rules rule theorem bit pivot point ratio variables thing variable choices algorithm From Matthias Koeppe 0 likes 24 plays 0
48:49 2020-10-26: Simplex method with perturbations… 2020-10-26: Simplex method with perturbations (MAT 168 Optimization)	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… step method basis simplex epsilon things numbers dictionary function problem bar solutions length problems times hand steps degeneracy side degenerate From Matthias Koeppe 0 likes 26 plays 0
50:23 2020-10-23: Extreme points, degeneracy,… 2020-10-23: Extreme points, degeneracy, finiteness (MAT 168 Optimization)	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.… inequalities equations constraints form n. dictionary point bit inverse basis variables bfs b. geometry degeneracy bar points transpose space vector From Matthias Koeppe 0 likes 37 plays 0