66 citations · 66 across the 5 of their papers we have counts for
6 papers
Build Your Own Neural Network From Scratch
Samantha Donner, Ethan Geary, Peter March +1
These notes are based on our reading of Michael Nielsen's online book neuralnetworksanddeeplearning.com. They represent our effort to elaborate his exposition of neural networks an…
A Simple Model of Sea Spray
Samantha Donner, Peter March, Mathew Umano
We propose a stochastic model of sea spray as a shot noise process attached to a homogeneous Poisson process whose intensity measure is the sea spray generation function, that is t…
Second Order Differential Operators on Graphs
Peter March
The commutator of a pair of vector fields on a graph is not a vector field in general, but rather a second order differential operator. We investigate this departure from the class…
Helmholtz-Hodge Decomposition on Graphs
Peter March
We propose a definition of the curl of a vector field X on a finite simple graph as the projection of X onto the orthogonal complement of circulation-free vector fields, where a ve…
Bochner's Identity on Graphs
Peter March
We prove an identity on a graph analogous to Bochner's identity on a Riemannian manifold. An auxiliary graph called the complete tangent graph intervenes in the term corresponding…
Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions
K. Burdzy, Robert Holyst, D. Ingerman +1
We analyze and simulate a two dimensional Brownian multi-type particle system with death and branching (birth) depending on the position of particles of different types. The system…