if os.path.exists("/kaggle/input/titanic/"):
= "/kaggle/input/titanic/"
DATA_PATH else:
= "./kaggle/input/titanic/" DATA_PATH
A recent arxiv paper by Park et al. (2024), Generative Agent Simulations of 1,000 People, claims that LLMs can be used to fairly reliably approximate the distribution of a sample from true human populations. They claim to correctly model minority groups, and, surprisingly, to be able to replicate responses reliably over time (85% as well as humans). A recurring tension with AI is whether they need to be good, or simply better than human alternatives. Humans are notoriously unreliable when answering questions over time (or driving), so how much better, if at all, should we expect AI to be?
\[\frac{d}{dx}cos(x) = -sin(x)\]
\[\frac{d}{dx}sin(x) = cos(x)\]
\[\frac{d}{dx}tan(x) = sec^2(x)\]
(as review, cos = is x coord of unit circle, sin is y, tan is sin/cos.)
secant a line touches a curve at two (or more?) points.
Tangent only touches at one.