Reduced Adverbial Clauses

I would avoid it, especially because there are two subjects (my father, I).
CB

Thank you Cool Breeze? But is it grammatically correct?

TechKillsUs But is it grammatically correct?

Who knows! In my opinion it isn't but others might disagree. These structures, which I have always called 'clause equivalents,' are used in a myriad ways and opinions about their correctness vary greatly.
CB

TechKillsUs"My father watching TV, I did my homework"

It doesn't sound natural. "While" shows the actions were concurrent but if for some reason you don't want to use it you could say: My father watched TV and I did my homework.

In my opinion, it is grammatically correct, but it is not a conversational form.

As Cool Breeze says opinions vary. Thank you Diamondrg and Huevos.

TechKillsUsCan I reduce "While my father was watching TV, I did my homework" to "My father watching TV, I did my homework" ?

While my father was watching TV, I was doing my homework.

Yoong Liat

TechKillsUsCan I reduce "While my father was watching TV, I did my homework" to "My father watching TV, I did my homework" ?

While my father was watching TV, I was doing my homework.

That isn't a clause equivalent. Nothing has been reduced. The continuous finite verb was doing

Hi CB

I agree. I was thinking of parallel construction.

TechKillsUs "My father watching TV, I did my homework"

I've learned here it's an error called "a comma splice." You cannot connect two independent sentences with a comma except for a conjunction.