Here is a LinkedIn tip I learned today

With in Linkedin:

In Settings, then Profile and Status Updates, mainly keep the option "No, do not notify anyone and do not include me in company updates" checked and then about once or every few days then go and check the "Yes, notify my connections and show significant profile updates on my company's profile" and it would clear things out.

This helps avoid those pesky "Bob Smith has an updated profile (Industry, Headline)" and  "Bob Smith is now connected to Jane Doe" posts more hidden on other people's network Activity pages.