It depends what you mean by 'initiating' the violence.
I work for the courts and the police, and most violence is perpetrated by men, usually when drunk, on women and children. At other times, it's when men want to control their partners and use violence or the threat of it to terrify them into being obedient.
The men may say they were provoked, but no matter what the provocation is, no-one should ever hit anyone at all.
It's true that some women attack men and children, and that's also inexcusable.