3 papers
math.DS2025
Convergence to Radial Symmetry in Iterative Convolution-Thresholding Dynamics
Mirabel Reid, Daniel J. Zhang
We study a discrete-time spatially extended dynamical system motivated by the continuum limit of binary neuron networks on geometric random graphs. The model evolves a function $ψ:…
cs.AI2024
Does GPT Really Get It? A Hierarchical Scale to Quantify Human vs AI's Understanding of Algorithms
Mirabel Reid, Santosh S. Vempala
As Large Language Models (LLMs) perform (and sometimes excel at) more and more complex cognitive tasks, a natural question is whether AI really understands. The study of understand…
math.PR2022
The -Cap Process on Geometric Random Graphs
Mirabel Reid, Santosh S. Vempala
The -cap (or -winners-take-all) process on a graph works as follows: in each iteration, exactly vertices of the graph are in the cap (i.e., winners); the next round winne…