* Sentences need a subject and a verb. "Not talking" describes an action, but doesn't tell us *who* is not talking. "Yelling" is the same - we don't know who is doing the yelling.
* Sentences convey a complete thought. "Not talking" or "yelling" only hint at an action. They don't give us information about what is happening or why.
To make them sentences, we need to add a subject:
* He is not talking.
* The children are yelling.
Now we have complete thoughts, with subjects and verbs.