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A group at MIT has improved on the cutting plane method for solving optimization problems.

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Yin Tat Lee, Aaron Sidford, Sam Chiu-wai Wong.
A Faster Cutting Plane Method and its Implications for Combinatorial and Convex Optimization.
56th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2015, Berkeley, CA, USA, October 18-20, 2015.