'Integer points' presentation slideshows

Transference Theorems in the Geometry of Numbers

Transference Theorems in the Geometry of Numbers. Daniel Dadush New York University. Convex Bodies. Convex body . (convex, full dimensional and bounded). Convexity: Line between and in . Equivalently . Non convex set. Integer Programming Problem (IP). Input:

1.65k views • 138 slides

3D Transformations

CS 234 Day 5 Jeff Parker. 3D Transformations. Objectives. Representing 2D translations with matrix multiplication Representing 3D translations Build some 3D examples Move the camera Parametric form for the equation of a line. Translation.

636 views • 47 slides

Lecture 19 Discrete Optimization Methods

Lecture 19 Discrete Optimization Methods. Branch-And-Bound Algorithm Also called Divide-And-Conquer 12.16 A linear inequality is a valid inequality for an ILP if it holds for all integer solutions. Valid inequalities are also called cutting planes. Example #1.

411 views • 24 slides

Cutting Plane Technique for Solving Integer Programs

Cutting Plane Technique for Solving Integer Programs. Motivating Example for Cutting Planes. Recall the bad-case example for the LP-rounding algorithm: Integer Program LP relaxation max x 1 + 5x 2 max x 1 + 5x 2 s.t. x 1 +10x 2 ? 20 s.t. x 1 +10x 2 ? 20

406 views • 10 slides

Periods of Degree-2 Ehrhart Quasipolynomials

154 views • 7 slides