Fix train signature and update type hints

Description

closes #22

[ ] I have raised an issue to propose this change (required for new features and bug fixes)

[ ] Bug fix (non-breaking change which fixes an issue)
[ ] New feature (non-breaking change which adds functionality)
[ ] Breaking change (fix or feature that would cause existing functionality to change)
[ ] Documentation (update in the documentation)

[ ] I've read the CONTRIBUTION guide (required)
[ ] I have updated the changelog accordingly (required).
[ ] My change requires a change to the documentation.
[ ] I have updated the tests accordingly (required for a bug fix or a new feature).
[ ] I have updated the documentation accordingly.
[ ] I have reformatted the code using make format (required)
[ ] I have checked the codestyle using make check-codestyle and make lint (required)
[ ] I have ensured make pytest and make type both pass. (required)
[ ] I have checked that the documentation builds using make doc (required)

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