Both sexes participate in intimate partner violence at rates close-ish to parity (it's something like a 60/40 split). Interestingly, despite the social narrative that IPV is all men's fault, gay male relationships have less of it than straight ones, and lesbian relationships have more.

Studies and statistics based on arrests, convictions, or other interactions with law enforcement are really bad at identifying female perpetrated IPV because often law enforcement ignores IPV perpetrated by a woman. It's fallout from training built on the Duluth model that's been around forever. When you build policy and training around something and that something is shown not to be accurate the training and policy doesn't just go away.