This repository implements the three main experiments from “A Theory of Response Sampling in LLMs: Part Descriptive and Part Prescriptive” and provides utilities to reproduce the paper’s ...

In part 1, we started to make some intuitive connections between near-Nyquist sampling, the addition of close-frequency sines, and how those signals would interact with perfect LP filters. Let's put ...

Abstract: We propose a sampling theory for signals that are supported on either directed or undirected graphs. The theory follows the same paradigm as classical sampling theory. We show that perfect ...

Abstract: This paper proposes a new perspective on the relationship between the sampling and aliasing. Unlike the uniform sampling case, where the aliases are simply periodic replicas of the original ...