This julia package accompanies the paper "The Alternating Descent Conditional Gradient Method for Sparse Inverse Problems", which should be available on the arxiv. A copy of the paper is included in this repository.
Install with Pkg.clone("git@github.com:nboyd/SparseInverseProblems.jl.git").
In the directory ~/.julia/v0.4/SparseInverseProblems/examples you will find three simple examples.