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Cutting plane methods can be extended into nonconvex optimization

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Egor Gladin - 'Vaidya's cutting plane method for stochastic optimization in small dimension'

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Cutting-plane method | Wikipedia audio article

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Example | Gomory's cut Method for IPP

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Timo Berthold - The Fundamental Algorithms for Mathematical Optimization

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Yin Tat Lee & Aaron Sidford: Faster Cutting Plane Methods and Improved Running Times for Submodular