Granular control on notifications

When I follow someone on the network I start getting notifications about all their activity, which is fine except it adds a lot of noise and its very trivial to lose interesting ones for example when someone posts a new story.

IMHO, activity like commented (or similar if in use - liked, shared, etc) should/could be excluded from notifications and shown on the homepage feed?

Or,

Atleast having the ability to mute specific types of activity would be nicer. Here is an example:

Thoughts?