Point separation

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Linear Programming
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MATH340
Section: 921
Instructor: Tali Pinksky
Email: tali@math.ubc.ca
Office: Math 229a
Office Hours: Wed 1-2 pm
or by appointment
Class Schedule: Tue-Thu-Fri 2-4 pm,
Wed 2-3 pm
Classroom: Math Annex 1100
Important Course Pages
Resources
Assignments
Discussion
Projects

Given a set of points in a plane, what is the best way to separate them into two groups using a line? Using a circle? How about an annulus?

These all can be formed as LP problems, and all have important applications to data analysis.

Try looking at this chapter from a computational geometry course in ETH, and choose your favourite separation problem. Show how this can be written as an LP problem. See also this paper.