The phrase "any knowledge of how" is correct and usable in written English.
It can be used when inquiring about someone's understanding or awareness of a particular process or method.
Example: "Do you have any knowledge of how to operate this machine?"
Alternatives: "any understanding of how" or "any awareness of how".
"There's a lot of people out there, frankly, that are totally without any knowledge of how wildlife and conservation works.
The manager of the Xuzhou Anying Biologic Technology Development Company has denied any knowledge of how melamine, an industrial chemical, was mixed into its pet food supplies.
On that subject, none of the designers who were asked claimed to have any knowledge of how they happened to become such a trend.
In a telephone interview a few weeks ago, Mr. Mao denied any knowledge of how melamine, an industrial chemical, had been mixed into pet food supplies sold under his company label earlier this year.
Neither Noesner nor Coulson had any knowledge of how she was recruited, but they said it was standard operating procedure for the FBI to vet someone like that and then have a behavioral psychologist offer extensive preparation, including scripted lines that would be rehearsed several times before going live.
According to local press reports, he has denied any knowledge of how the weapons came to be in his car and has suggested that he is being framed by in-laws angry over the death of his wife in a suspicious fire at their home last year.
I tell you this not to claim any special knowledge of how you've grown, but to explain how I have, and from where I draw my understanding.
They arrive in Atlanta hoping to become a successful pop act without any actual knowledge of how to go about it.
"If you unleash a herd of teetering, wobbly fashionistas into city streets without any real knowledge of how to ride a bike in traffic, accidents can (and likely will) happen".
Reinforcement learning is a way of making a computer learn through experience to make a series of decisions that yield positive outcomes even without any prior knowledge of how its actions will affect its immediate environment.
