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Also, implementing ideas and testing them on real data can be a very good heuristic to drive theoretical thinking by:

- giving you empirical evidences on the practical limitations of a positive theoretical results that might have been otherwise overlooked.

- giving you new insights on which approaches (e.g. class of algorithm) are the most promising for a given class of problems.

- make explicit some assumptions you might have implicitly made in your theoretical work and check whether they can actually be satisfied in practice.



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