Capturing a manifold involves representing it efficiently while fitting its intrinsic geometry.

“tiling which I should say there's also substantial work in neuroscience again we should have read more books and some work in the in the broader community and the idea of like what does it mean to capture a manifold it's like how how efficiently are you kind of representing that manifold and how much is it”

“does it sort of fit the intrinsic geometry of it and so if we go back to this example of like an arc say i'm kind of with sufficiently many points you know with sufficiently many like lines i can say i've captured the manifold you know for any point on this manifold i have an sae feature which i can say oh it activates such and so amount and i've kind of relatively accurately captured captured in the sense of reconstruction this manifold”