15 citations · 71 across the 16 of their papers we have counts for
18 papers
Counter-example to continuity of measure in uncountable unions
Simranjeet Bilkhu, Noah Mills Forman
Continuity of measure asserts that the measure of the union of an increasing sequence of sets is equal to the supremum of the measures of those sets. We provide counter examples in…
Step by Step: Adaptive Gradient Descent for Training L-Lipschitz Neural Networks
Kyle Sung, Kholood Khalil, Noah Forman +2
We demonstrate that applying an eventual decay to the learning rate (LR) in empirical risk minimization (ERM), where the mean-squared-error loss is minimized using standard gradien…
The Aldous diffusion: a stationary evolution of the Brownian CRT
Noah Forman, Soumik Pal, Douglas Rizzolo +1
Motivated by a down-up Markov chain on cladograms, David Aldous conjectured in 1999 that there exists a "diffusion on continuum trees" whose mass partitions at any finite number of…
Ranked masses in two-parameter Fleming-Viot diffusions
Noah Forman, Soumik Pal, Douglas Rizzolo +1
In previous work, we constructed Fleming--Viot-type measure-valued diffusions (and diffusions on a space of interval partitions of the unit interval ) that are stationary wi…
Diffusions on a space of interval partitions: The two-parameter model
Noah Forman, Douglas Rizzolo, Quan Shi +1
We introduce and study interval partition diffusions with Poisson--Dirichlet stationary distribution for parameters and . This extends previous work on t…
A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions
Noah Forman, Douglas Rizzolo, Quan Shi +1
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions in which ranked masses of atoms are stationary with the Poisson-Dirichlet$(α,θ)…