Code covered by the BSD License  

Highlights from
Submodular Function Optimization

image thumbnail
from Submodular Function Optimization by Andreas Krause
This toolbox provides functions for maximizing and minimizing submodular set functions.

sfo_fn_example 
% The example from the tutorial slides at www.submodularity.org
% Implemented by Andreas Krause (krausea@gmail.com)
% F([]) = 0, F([1])= -1, F([2]) = 2, F([1,2]) = 0
%
% function R = sfo_fn_example(A)
% A: Input set to evaluate, [],[1],[2],[1,2]
% Example: F = sfo_fn_example; F([1,2])

function F = sfo_fn_example
F = sfo_fn_wrapper(@example_fun);

function R = example_fun(A)
a = sum(A==1) > 0;
b = sum(A==2) > 0;
R = 0;
if a && ~b
    R = -1;
elseif ~a && b
    R = 2;
elseif a && b
    R = 0;
end

Contact us