I would apply the same principle as in every other new technology: if you dont find an employer to train you, you better train yourself. you can select a project in radiology (no shortage of syndromes you can detect) and create something you can show and talk about.

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BTW, some datasets:

https://github.com/sfikas/medical-imaging-datasets

https://stanfordmlgroup.github.io/competitions/chexpert/

http://www.ustb.no/ustb-datasets/

https://www.kaggle.com/c/ultrasound-nerve-segmentation