Will my feet get smaller if I lose 100 pounds?

I'm curious to understand if there's a direct correlation between weight loss and foot size reduction. Specifically, if someone were to lose 100 pounds, would their feet actually shrink in size? I've heard various anecdotes, but I'm seeking a more scientific explanation. Could you elaborate on the potential impact of significant weight loss on the size and shape of one's feet, considering factors such as bone structure, fat distribution, and skin elasticity?