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On the one hand, DeepZip does neural net based compression.

On the other hand, in "The Case for Learned Index Structures" [1] paper, they replace B-Trees with neural nets:

> by using neural nets we are able to outperform cache optimized B-Trees by up to 70% in speed while saving an order of magnitude in memory over several real world data sets

Basically ML/DL is coming for the classic data structures, replacing some of them with learning based versions.

[1] https://arxiv.org/abs/1712.01208

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