Lecture 10 | Generalized Geometric Programs (GGP) | Convex Optimization by Dr. Ahmad Bazzi
25.4 هزار بار بازدید -
5 سال پیش
-
Let's reach 100K subscribers 👉🏻
Let's reach 100K subscribers 👉🏻 https://www.seevid.ir/c/AhmadBazzi?...
In Lecture 10 of this course on convex optimization, we will cover Generalized Geometric Programs, i.e. GPs. The outline of the lecture is as follows:
00:00 Intro
01:16 Generalized Posynomials
08:46 Generalized Geometric Program (GGP)
09:45 GGP as a GP
17:40 Example 1: Floor Planning (GGP)
23:48 Example 2: Power Control (GP)
33:00 Example 3: Digital Circuit Design (GGP)
37:26 Mixed-Integer Geometric Program
39:27 Outro
---------------------------------------------------------------------------------------------------------
Lecture 1 | Introduction to Convex Optimization: Lecture 1 | Convex Optimization | Int...
Lecture 2 | Convex Sets: Lecture 2 | Convex Sets | Convex Opti...
Lecture 3 | Convex Functions: Lecture 3 | Convex Functions | Convex...
Lecture 4 | Convex Optimization Principles : Lecture 4 | Convex Optimization Princ...
Lecture 5 | Linear Programming & SIMPLEX algorithm w MATLAB: Lecture 5 | Linear Programming & SIMP...
Lecture 6 | Quadratic Programs: Lecture 6 | Quadratic Programs | Conv...
Lecture 7 | Quadratically Constrained Quadratic Programs: Lecture 7 | Quadratically Constrained...
Lecture 8 | Second Order Cone Programming: Lecture 8 | Second Order Cone Program...
Lecture 9 | Geometric Programs: Lecture 9 | Geometric Programs (GP) |...
---------------------------------------------------------------------------------------------------------
References:
[1] Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.
[2] Nesterov, Yurii. Introductory lectures on convex optimization: A basic course. Vol. 87. Springer Science & Business Media, 2013.
Reference no. 3:
[3] Ben-Tal, Ahron, and Arkadi Nemirovski. Lectures on modern convex optimization: analysis, algorithms, and engineering applications. Vol. 2. Siam, 2001.
---------------------------------------------------------------------------------------------------------
Instructor: Dr. Ahmad Bazzi
IG: Instagram: drahmadbazzi
FB: https://www.facebook.com/profile.php?...
RG: https://www.researchgate.net/profile/...
MSE: https://math.stackexchange.com/users/...
YT: ahmadbazzi
---------------------------------------------------------------------------------------------------------
Credits :
Microsoft OneNote: https://products.office.com/en-gb/one...
#ConvexOptimization #GGO #Geometric
In Lecture 10 of this course on convex optimization, we will cover Generalized Geometric Programs, i.e. GPs. The outline of the lecture is as follows:
00:00 Intro
01:16 Generalized Posynomials
08:46 Generalized Geometric Program (GGP)
09:45 GGP as a GP
17:40 Example 1: Floor Planning (GGP)
23:48 Example 2: Power Control (GP)
33:00 Example 3: Digital Circuit Design (GGP)
37:26 Mixed-Integer Geometric Program
39:27 Outro
---------------------------------------------------------------------------------------------------------
Lecture 1 | Introduction to Convex Optimization: Lecture 1 | Convex Optimization | Int...
Lecture 2 | Convex Sets: Lecture 2 | Convex Sets | Convex Opti...
Lecture 3 | Convex Functions: Lecture 3 | Convex Functions | Convex...
Lecture 4 | Convex Optimization Principles : Lecture 4 | Convex Optimization Princ...
Lecture 5 | Linear Programming & SIMPLEX algorithm w MATLAB: Lecture 5 | Linear Programming & SIMP...
Lecture 6 | Quadratic Programs: Lecture 6 | Quadratic Programs | Conv...
Lecture 7 | Quadratically Constrained Quadratic Programs: Lecture 7 | Quadratically Constrained...
Lecture 8 | Second Order Cone Programming: Lecture 8 | Second Order Cone Program...
Lecture 9 | Geometric Programs: Lecture 9 | Geometric Programs (GP) |...
---------------------------------------------------------------------------------------------------------
References:
[1] Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.
[2] Nesterov, Yurii. Introductory lectures on convex optimization: A basic course. Vol. 87. Springer Science & Business Media, 2013.
Reference no. 3:
[3] Ben-Tal, Ahron, and Arkadi Nemirovski. Lectures on modern convex optimization: analysis, algorithms, and engineering applications. Vol. 2. Siam, 2001.
---------------------------------------------------------------------------------------------------------
Instructor: Dr. Ahmad Bazzi
IG: Instagram: drahmadbazzi
FB: https://www.facebook.com/profile.php?...
RG: https://www.researchgate.net/profile/...
MSE: https://math.stackexchange.com/users/...
YT: ahmadbazzi
---------------------------------------------------------------------------------------------------------
Credits :
Microsoft OneNote: https://products.office.com/en-gb/one...
#ConvexOptimization #GGO #Geometric
5 سال پیش
در تاریخ 1398/06/23 منتشر شده
است.
25,465
بـار بازدید شده