Nicole Rust on Nostr: npub1akr39…c9scn Hmmm. Dimensionality can mean a lot of things. One popular thing: ...
npub1akr3986r8r2yff7zecyfm4c5cmnthkvnp3yxktp9muxj84t0m3vqzc9scn (npub1akr…9scn)
Hmmm. Dimensionality can mean a lot of things. One popular thing: a neuron that receives N inputs can be thought of as operating in an N-1 dimensional space. If the neuron is computing a simple weighted sum of those inputs (and thresholding), that's a hyperplane where the weights determine the hyperplane orientation (so it doesn't change the dimensionality if those weights are 1/0 vs graded).
Friendly reference:
https://www.sas.upenn.edu/psych/rust-lab/publications/rust_gazzaniga2015_scanned.pdf
Hmmm. Dimensionality can mean a lot of things. One popular thing: a neuron that receives N inputs can be thought of as operating in an N-1 dimensional space. If the neuron is computing a simple weighted sum of those inputs (and thresholding), that's a hyperplane where the weights determine the hyperplane orientation (so it doesn't change the dimensionality if those weights are 1/0 vs graded).
Friendly reference:
https://www.sas.upenn.edu/psych/rust-lab/publications/rust_gazzaniga2015_scanned.pdf