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the lattice cutting plane method is used for milp ; for the relationship between milp and machine learning, you could read

http://www.litislab.fr/wp-content/uploads/2015/12/Canu-S.pdf

which gives some examples of machine learning tasks which can be expressed as milps

now,milps in machine learning are usually far larger than 3D ...

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Sharing link;

https://www.google.es/url?sa=t&source=web&rct=j&url=https://arxiv.org/pdf/1610.00168&ved=2ahUKEwjdtePwqtPZAhVCuxQKHZOEAw0QFjABegQIBhAB&usg=AOvVaw022IbXV0TjxLhXxNMQp8NJ

Regards