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01:37:02

Nature-inspired optimization methods SS 2022 : Chapter: Representation

Nature-inspired optimization methods SS 2022 : Chapter: Representation

Pradyumn Shukla

01:01:02

Nature-inspired optimization methods SS 2022 : Problem Solving and Basic Concepts II. Basic Concepts

Nature-inspired optimization methods SS 2022 : Problem Solving and Basic Concepts II. Basic Concepts

Pradyumn Shukla

01:30:07

Nature-inspired optimization methods SS 2022 : Chapter: Escaping Local Minima

Nature-inspired optimization methods SS 2022 : Chapter: Escaping Local Minima

Pradyumn Shukla

01:22:07

Nature-inspired optimization methods SS 2022 : Chapter 1: Problem Solving and Basic Concepts

Nature-inspired optimization methods SS 2022 : Chapter 1: Problem Solving and Basic Concepts

Pradyumn Shukla

01:41:21

Nature-inspired optimization methods SS 2022 : Chapter: Escaping Local Minima II. Tabu Search

Nature-inspired optimization methods SS 2022 : Chapter: Escaping Local Minima II. Tabu Search

Pradyumn Shukla

00:24:42

Nature-inspired optimization methods SS 2022 : Introductory lecture

Nature-inspired optimization methods SS 2022 : Introductory lecture

Pradyumn Shukla

01:06:05

Seminar on IPCC Assessment Report

Seminar on IPCC Assessment Report

Joaquim Pinto, Patrick Ludwig

01:10:15

Climate Modelling and Dynamics with ICON

Climate Modelling and Dynamics with ICON

Joaquim G. Pinto, Patrick Ludwig, Aiko Voigt

00:40:21

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 1

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 1

Oliver Stein

00:32:15

Global Optimization I, Section 1.2.1 (Definition of solvability)

Global Optimization I, Section 1.2.1 (Definition of solvability)

Oliver Stein

00:20:20

Global Optimization I, Section 2.7.1 (Lagrange- and Wolfe-duality), part 3

Global Optimization I, Section 2.7.1 (Lagrange- and Wolfe-duality), part 3

Oliver Stein

00:34:43

Global Optimization I, Section 1.2.4 (Unbounded feasible sets), part 2

Global Optimization I, Section 1.2.4 (Unbounded feasible sets), part 2

Oliver Stein

00:58:05

Parametric Optimization, Section 1.1 (Shadow prices and three key questions), Section 1.2 (Hotelling's lemma and the same questions)

Parametric Optimization, Section 1.1 (Shadow prices and three key questions), Section 1.2 (Hotelling's lemma and the same questions)

Oliver Stein

01:00:14

Parametric Optimization, Section 1.3 (Algorithms and a fourth key question), Section 1.4 (Decomposition methods), Section 1.5 (Robust and semi-infinite optimization)

Parametric Optimization, Section 1.3 (Algorithms and a fourth key question), Section 1.4 (Decomposition methods), Section 1.5 (Robust and semi-infinite optimization)

Oliver Stein

00:55:20

Global Optimization I, Section 2.1 (Convexity), part 2

Global Optimization I, Section 2.1 (Convexity), part 2

Oliver Stein

00:51:34

Parametric Optimization, Section 2.2.3 (Quadratic indices), Section 2.2.4 (Stability of nondegenerate minimal points)

Parametric Optimization, Section 2.2.3 (Quadratic indices), Section 2.2.4 (Stability of nondegenerate minimal points)

Oliver Stein

00:29:18

Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 1

Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 1

Oliver Stein

00:22:20

Parametric Optimization, Section 2.3.1 (Criticality notions for constrained problems)

Parametric Optimization, Section 2.3.1 (Criticality notions for constrained problems)

Oliver Stein

00:45:58

Parametric Optimization, Section 2.3.5 (Stability of nondegenerate minimal points)

Parametric Optimization, Section 2.3.5 (Stability of nondegenerate minimal points)

Oliver Stein

01:22:49

Parametric Optimization, Section 2.3.2 (Three regularity conditions)

Parametric Optimization, Section 2.3.2 (Three regularity conditions)

Oliver Stein

00:19:39

Parametric Optimization, Section 4.1.4 (Reduction Ansatz)

Parametric Optimization, Section 4.1.4 (Reduction Ansatz)

Oliver Stein

00:48:13

Parametric Optimization, Section 1.9 (Counter examples)

Parametric Optimization, Section 1.9 (Counter examples)

Oliver Stein

00:19:46

Global Optimization I, Section 2.8.4 (Kelley's cutting plane method), part 2

Global Optimization I, Section 2.8.4 (Kelley's cutting plane method), part 2

Oliver Stein

00:25:56

Global Optimization I, Section 2.7.2 (The KKT conditions)

Global Optimization I, Section 2.7.2 (The KKT conditions)

Oliver Stein

00:29:26

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 2

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 2

Oliver Stein

00:17:44

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 3

Global Optimization I, Section 2.8.5 (Frank-Wolfe method), part 3

Oliver Stein

00:39:21

Parametric Optimization, Section 3.2.2 (Applications and characterizations for semicontinuity properties of functions)

Parametric Optimization, Section 3.2.2 (Applications and characterizations for semicontinuity properties of functions)

Oliver Stein

00:25:07

Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 2

Parametric Optimization, Section 2.3.7 (Sensitivity of nondegenerate minimal values), part 2

Oliver Stein

00:33:58

Parametric Optimization

Parametric Optimization

Oliver Stein

00:32:46

Parametric Optimization, Section 3.7 (Directional sensitivity of minimal values)

Parametric Optimization, Section 3.7 (Directional sensitivity of minimal values)

Oliver Stein

01:21:10

Global Optimization I, Section 2.7.1 (Lagrange- and Wolfe-duality), part 2

Global Optimization I, Section 2.7.1 (Lagrange- and Wolfe-duality), part 2

Oliver Stein

00:44:35

Global Optimization I, Section 2.2.1 (Higher-dimensional first derivatives)

Global Optimization I, Section 2.2.1 (Higher-dimensional first derivatives)

Oliver Stein

00:32:10

Parametric Optimization, Section 4.1.3 (Optimality conditions)

Parametric Optimization, Section 4.1.3 (Optimality conditions)

Oliver Stein

01:04:25

Global Optimization I, Section 2.8.4 (Kelley's cutting plane method), part 1

Global Optimization I, Section 2.8.4 (Kelley's cutting plane method), part 1

Oliver Stein

00:31:03

Global Optimization I, Section 2.8 (Numerical methods); Section 2.8.1 (Basic idea of the gradient method)

Global Optimization I, Section 2.8 (Numerical methods); Section 2.8.1 (Basic idea of the gradient method)

Oliver Stein

00:51:26

Global Optimization I, Section 2.5.1 (Higher-dimensional second derivatives)

Global Optimization I, Section 2.5.1 (Higher-dimensional second derivatives)

Oliver Stein

00:40:30

Global Optimization I, Section 2.3 (Solvability of convex optimization problems)

Global Optimization I, Section 2.3 (Solvability of convex optimization problems)

Oliver Stein

00:23:10

Global Optimization I, Section 2.8.3 (Basic idea of cutting plane methods)

Global Optimization I, Section 2.8.3 (Basic idea of cutting plane methods)

Oliver Stein

00:16:52

Parametric Optimization, Section 2.3.6 (Sensitivity of nondegenerate minimal points)

Parametric Optimization, Section 2.3.6 (Sensitivity of nondegenerate minimal points)

Oliver Stein

00:42:19

Parametric Optimization, Section 3.4 (Continuity properties of the feasible set mapping)

Parametric Optimization, Section 3.4 (Continuity properties of the feasible set mapping)

Oliver Stein

00:28:15

Parametric Optimization, Section 3.5 (Continuity properties of constrained minimal values), Section 3.6 (Continuity properties of constrained minimal points)

Parametric Optimization, Section 3.5 (Continuity properties of constrained minimal values), Section 3.6 (Continuity properties of constrained minimal points)

Oliver Stein

00:42:08

Global Optimization I, Section 1.1 (Examples and notions), part 2

Global Optimization I, Section 1.1 (Examples and notions), part 2

Oliver Stein

00:52:35

Global Optimization I, Section 1.1 (Examples and notions), part 3

Global Optimization I, Section 1.1 (Examples and notions), part 3

Oliver Stein

00:49:42

Global Optimization I, Section 1.1 (Examples and notions), part 1

Global Optimization I, Section 1.1 (Examples and notions), part 1

Oliver Stein

00:52:11

Global Optimization I, Section 1.2.2 (Types of unsolvability)

Global Optimization I, Section 1.2.2 (Types of unsolvability)

Oliver Stein

00:35:04

Global Optimization I, Section 1.2.3 (Weierstrass theorem)

Global Optimization I, Section 1.2.3 (Weierstrass theorem)

Oliver Stein

00:09:54

Parametric Optimization, Introduction

Parametric Optimization, Introduction

Oliver Stein

00:49:46

Global Optimization I, Section 2.7 (Optimality conditions for constrained convex problems); Section 2.7.1 (Lagrange- and Wolfe-duality), part 1

Global Optimization I, Section 2.7 (Optimality conditions for constrained convex problems); Section 2.7.1 (Lagrange- and Wolfe-duality), part 1

Oliver Stein

00:38:17

Global Optimization I, Section 2.8.2 (Basic idea of Newton's method)

Global Optimization I, Section 2.8.2 (Basic idea of Newton's method)

Oliver Stein

01:02:20

Global Optimization I, Section 1.2.4 (Unbounded feasible sets), part 1

Global Optimization I, Section 1.2.4 (Unbounded feasible sets), part 1

Oliver Stein

00:47:05

Global Optimization I, Section 2.1 (Convexity), part 1

Global Optimization I, Section 2.1 (Convexity), part 1

Oliver Stein

00:34:19

Global Optimization I, Section 2.2.2 (C1-characterization)

Global Optimization I, Section 2.2.2 (C1-characterization)

Oliver Stein

00:33:32

Parametric Optimization, Section 3.1 (Preliminary thoughts)

Parametric Optimization, Section 3.1 (Preliminary thoughts)

Oliver Stein

00:08:47

Global Optimization I, Section 2.6 (Monotonicity characterization of convexity)

Global Optimization I, Section 2.6 (Monotonicity characterization of convexity)

Oliver Stein

00:24:16

Parametric Optimization, Section 2.3.3 (Nondegenerate critical points), Section 2.3.4 (Linear and quadratic indices)

Parametric Optimization, Section 2.3.3 (Nondegenerate critical points), Section 2.3.4 (Linear and quadratic indices)

Oliver Stein

00:44:33

Parametric Optimization, Section 1.6 (Bilevel optimization), Section 1.7 (Nash games), Section 1.8 (Multiobjective optimization)

Parametric Optimization, Section 1.6 (Bilevel optimization), Section 1.7 (Nash games), Section 1.8 (Multiobjective optimization)

Oliver Stein

00:44:38

Global Optimization I, Section 2.4 (Optimality conditions for unconstrained convex problems)

Global Optimization I, Section 2.4 (Optimality conditions for unconstrained convex problems)

Oliver Stein

00:24:21

Parametric Optimization, Section 2.2.5 (Sensitivity of nondegenerate minimal points)

Parametric Optimization, Section 2.2.5 (Sensitivity of nondegenerate minimal points)

Oliver Stein

00:32:36

Parametric Optimization, Section 3.2.1 (Semicontinuity of functions)

Parametric Optimization, Section 3.2.1 (Semicontinuity of functions)

Oliver Stein

00:24:06

Parametric Optimization, Section 3.2.4 (Lower semicontinuity of minimal values), part 3

Parametric Optimization, Section 3.2.4 (Lower semicontinuity of minimal values), part 3

Oliver Stein

00:45:17

Parametric Optimization, Section 3.3.1 (Basic concepts for setvalued mappings)

Parametric Optimization, Section 3.3.1 (Basic concepts for setvalued mappings)

Oliver Stein

00:22:23

Parametric Optimization, Section 3.3.2 (Closedness and local boundedness of unconstrained minimal points)

Parametric Optimization, Section 3.3.2 (Closedness and local boundedness of unconstrained minimal points)

Oliver Stein

00:20:30

Global Optimization I, Section 2.7.3 (Complementarity)

Global Optimization I, Section 2.7.3 (Complementarity)

Oliver Stein

00:27:05

Mixed-Integer Optimization I, Section 2 (Mixed-integer linear optimization), Introduction

Mixed-Integer Optimization I, Section 2 (Mixed-integer linear optimization), Introduction

Oliver Stein

00:39:50

Parametric Optimization, Section 4.2.1 (Nash game definitions and examples)

Parametric Optimization, Section 4.2.1 (Nash game definitions and examples)

Oliver Stein

00:24:34

Parametric Optimization, Section 4.2.2 (The combined KKT system)

Parametric Optimization, Section 4.2.2 (The combined KKT system)

Oliver Stein

01:08:19

Global Optimization I, Section 2.5.2 (C2-characterizations)

Global Optimization I, Section 2.5.2 (C2-characterizations)

Oliver Stein

01:02:02

Mixed-Integer Optimization I, Section 2.5.2 (The purely integer case), part 1

Mixed-Integer Optimization I, Section 2.5.2 (The purely integer case), part 1

Oliver Stein

00:31:11

Parametric Optimization, Section 3.2.3 (Upper semicontinuity of unconstrained minimal values)

Parametric Optimization, Section 3.2.3 (Upper semicontinuity of unconstrained minimal values)

Oliver Stein

00:21:29

Parametric Optimization, Section 3.2.4 (Lower semicontinuity of unconstrained minimal values), part 1

Parametric Optimization, Section 3.2.4 (Lower semicontinuity of unconstrained minimal values), part 1

Oliver Stein

00:49:19

Parametric Optimization, Section 3.3.3 (Semicontinuity properties of setvalued mappings)

Parametric Optimization, Section 3.3.3 (Semicontinuity properties of setvalued mappings)

Oliver Stein

00:45:02

Parametric Optimization, Section 2.2.6 (Sensitivity of nondegenerate minimal values)

Parametric Optimization, Section 2.2.6 (Sensitivity of nondegenerate minimal values)

Oliver Stein

00:08:43

Parametric Optimization, Section 3.2.5 (Continuity of unconstrained minimal values)

Parametric Optimization, Section 3.2.5 (Continuity of unconstrained minimal values)

Oliver Stein

00:26:28

Parametric Optimization, Section 2.1 (Basic terminology and notation)

Parametric Optimization, Section 2.1 (Basic terminology and notation)

Oliver Stein

00:47:12

Parametric Optimization, Section 2.2.2 (Nondegenerate critical points)

Parametric Optimization, Section 2.2.2 (Nondegenerate critical points)

Oliver Stein

00:47:36

Parametric Optimization, Section 2.2.1 (Preliminary thoughts)

Parametric Optimization, Section 2.2.1 (Preliminary thoughts)

Oliver Stein

00:47:52

Parametric Optimization, Section 4.2.4 (An equivalent optimization problem), Section 4.2.5 (Regularization of the gap function), Section 4.2.6 (Continuity of the gap fct.), Section 4.2.7 (Differentiability of the gap fct.)

Parametric Optimization, Section 4.2.4 (An equivalent optimization problem), Section 4.2.5 (Regularization of the gap function), Section 4.2.6 (Continuity of the gap fct.), Section 4.2.7 (Differentiability of the gap fct.)

Oliver Stein

00:37:09

Parametric Optimization, Section 4.1.1 (SIP examples)

Parametric Optimization, Section 4.1.1 (SIP examples)

Oliver Stein

00:20:13

Parametric Optimization, Section 4.1.2 (Topological properties of the feasible set)

Parametric Optimization, Section 4.1.2 (Topological properties of the feasible set)

Oliver Stein

00:42:55

Global Optimization I, Section 2.7.4 (Geometric interpretation of the KKT conditions)

Global Optimization I, Section 2.7.4 (Geometric interpretation of the KKT conditions)

Oliver Stein

00:58:25

Global Optimization I, Section 1.2.5 (Non-closed feasible sets)

Global Optimization I, Section 1.2.5 (Non-closed feasible sets)

Oliver Stein

00:52:06

Global Optimization I, Section 2.7.5 (Constraint Qualifications)

Global Optimization I, Section 2.7.5 (Constraint Qualifications)

Oliver Stein

00:23:55

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 3

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 3

Oliver Stein

00:54:29

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 1

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 1

Oliver Stein

00:30:39

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 2

Global Optimization I, Section 2.8.6 (Basic idea of primal-dual IPMs), part 2

Oliver Stein

00:48:55

Mixed-Integer Optimization I, Section 2.2 (Solvability)

Mixed-Integer Optimization I, Section 2.2 (Solvability)

Oliver Stein

00:25:58

Global Optimization II, Section 3.9.1 (Properties of Lipschitz continuous functions), part 2

Global Optimization II, Section 3.9.1 (Properties of Lipschitz continuous functions), part 2

Oliver Stein

00:45:48

Mixed-Integer Optimization I, Section 2.6.1 (Benders decomposition / general decomposition)

Mixed-Integer Optimization I, Section 2.6.1 (Benders decomposition / general decomposition)

Oliver Stein

00:20:45

Mixed-Integer Optimization I, Section 2.3.2 (Rounding), part 1

Mixed-Integer Optimization I, Section 2.3.2 (Rounding), part 1

Oliver Stein

00:36:48

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 3

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 3

Oliver Stein

01:03:32

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 4

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 4

Oliver Stein

00:49:00

Global Optimization II, Section 3.1 (Examples and a conceptual algorithm)

Global Optimization II, Section 3.1 (Examples and a conceptual algorithm)

Oliver Stein

00:11:51

Global Optimization I, Introduction

Global Optimization I, Introduction

Oliver Stein

00:36:11

Global Optimization II, Section 3.9.3 (A variation of Alg. 3.5)

Global Optimization II, Section 3.9.3 (A variation of Alg. 3.5)

Oliver Stein

00:15:25

Convex Analysis, Section 5.5 (Monotonicity of the convex subdifferential)

Convex Analysis, Section 5.5 (Monotonicity of the convex subdifferential)

Oliver Stein

00:41:16

Convex Analysis, Section 5.6 (A choice of the parameter r)

Convex Analysis, Section 5.6 (A choice of the parameter r)

Oliver Stein

01:00:41

Mixed-Integer Optimization I, Section 2.4.4 (Iterative Branching), Section 2.4.5 (Construction of the subdivision), Section 2.4.6 (Initialization), Section 2.4.7 (Termination), Section 2.4.8 (Tuning), Section 2.4.9 (Unboundedness)

Mixed-Integer Optimization I, Section 2.4.4 (Iterative Branching), Section 2.4.5 (Construction of the subdivision), Section 2.4.6 (Initialization), Section 2.4.7 (Termination), Section 2.4.8 (Tuning), Section 2.4.9 (Unboundedness)

Oliver Stein

01:04:03

Mixed-Integer Optimization I, Section 2.5.2 (The purely integer case), part 2

Mixed-Integer Optimization I, Section 2.5.2 (The purely integer case), part 2

Oliver Stein

00:33:08

Mixed-Integer Optimization I, Section 1.1 (Examples and terminology), part 2

Mixed-Integer Optimization I, Section 1.1 (Examples and terminology), part 2

Oliver Stein

01:06:51

Mixed-Integer Optimization I, Section 1.1 (Examples and terminology), part 3

Mixed-Integer Optimization I, Section 1.1 (Examples and terminology), part 3

Oliver Stein

00:17:50

Mixed-Integer Optimization I, Section 2.5 (Gomory Cuts - Introduction)

Mixed-Integer Optimization I, Section 2.5 (Gomory Cuts - Introduction)

Oliver Stein

00:41:03

Mixed-Integer Optimization I, Section 2.5.4 (The mixed-integer case)

Mixed-Integer Optimization I, Section 2.5.4 (The mixed-integer case)

Oliver Stein

00:41:50

Mixed-Integer Optimization I, Section 2.5.1 (General cuts)

Mixed-Integer Optimization I, Section 2.5.1 (General cuts)

Oliver Stein

00:53:15

Mixed-Integer Optimization I, Section 2.6.10 (Iterative solution by a cutting plane method), part 2

Mixed-Integer Optimization I, Section 2.6.10 (Iterative solution by a cutting plane method), part 2

Oliver Stein

00:19:18

Global Optimization II, Section 3.2 (Convex relaxation), part 2

Global Optimization II, Section 3.2 (Convex relaxation), part 2

Oliver Stein

00:32:40

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 2

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 2

Oliver Stein

00:19:43

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 3

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 3

Oliver Stein

00:17:51

Mixed-Integer Optimization I, Section 2.6.4 (Unsolvability and connections between the inner problems)

Mixed-Integer Optimization I, Section 2.6.4 (Unsolvability and connections between the inner problems)

Oliver Stein

00:37:02

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 1

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 1

Oliver Stein

00:44:11

Mixed-Integer Optimization I, Section 2.5.6 (Gomory's split cut), part 2

Mixed-Integer Optimization I, Section 2.5.6 (Gomory's split cut), part 2

Oliver Stein

00:23:16

Mixed-Integer Optimization I, Section 2.5.5 (Split inequalities)

Mixed-Integer Optimization I, Section 2.5.5 (Split inequalities)

Oliver Stein

00:17:17

Global Optimization II, Section 3.3.6 (Taylor models)

Global Optimization II, Section 3.3.6 (Taylor models)

Oliver Stein

00:31:13

Convex Analysis, Section 2.3 (Normal cones), part 1

Convex Analysis, Section 2.3 (Normal cones), part 1

Oliver Stein

00:48:49

Global Optimization II, Section 3.5 (Uniformly refined grids), part 2

Global Optimization II, Section 3.5 (Uniformly refined grids), part 2

Oliver Stein

00:27:35

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 1

Global Optimization II, Section 3.6 (Branch-and-bound for box-constrained problems), part 1

Oliver Stein

00:51:37

Convex Analysis, Section 3.2 (One-sided directional differentiability of convex functions)

Convex Analysis, Section 3.2 (One-sided directional differentiability of convex functions)

Oliver Stein

00:30:19

Convex Analysis, Section 2.3 (Normal cones), part 3

Convex Analysis, Section 2.3 (Normal cones), part 3

Oliver Stein

01:01:07

Convex Analysis, Section 3 (Smoothness properties of convex functions); Section 3.1 (Local Lipschitz continuity of convex functions)

Convex Analysis, Section 3 (Smoothness properties of convex functions); Section 3.1 (Local Lipschitz continuity of convex functions)

Oliver Stein

00:07:39

Convex Analysis, Section 3.3 (The Theorem of Lewis and Pang for general convex functions)

Convex Analysis, Section 3.3 (The Theorem of Lewis and Pang for general convex functions)

Oliver Stein

00:24:59

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 5

Global Optimization II, Section 3.4 (Convex relaxation for the alphaBB method), part 5

Oliver Stein