4 papers
Approximate Algorithms for Chamfer Distance Under Translation
Gil Halevi, Daniel Zhang, Jason Zhang
Given two sets of points A and B, , , the Chamfer distance from to is defined as , where …
Dynamic Rank, Basis, and Matching
Jan van den Brand, Vishal Kumar, Daniel J. Zhang
We study dynamic algorithms for maintaining fundamental algebraic properties of matrices, specifically, rank, basis, and full-rank submatrices, with applications to maximum matchin…
Sampling Sphere Packings with Continuum Glauber Dynamics
Aiya Kuchukova, Santosh S. Vempala, Daniel J. Zhang
Continuum Glauber dynamics is a spatial birth-death process whose stationary distribution is a Gibbs distribution. We establish a spectral gap for Continuum Glauber dynamics applie…
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 $Ï…