7 papers
Robust Space-Filling Input Design via Stochastic Optimization
Máté Kiss, Roland Tóth, Maarten Schoukens
The space-filling input design approach generates a so-called space-filling dataset in the feature space of the system model. The design method is applicable on a broad class of mo…
Self-Stabilizing Algorithms in the Uniform Port Model
Liam Brinker, Yuval Emek, Oren Louidor
We introduce a distributed computational model referred to as the \emph{uniform port} model. An algorithm operating in this model is defined by means of local automata associated w…
A Limit in Law for the Cover Time and Last Visited Vertex of Wired Planar Domains
Oren Louidor, Santiago Saglietti
We derive a scaling limit in law for the cover time of a simple random walk on a lattice version of a scaled-up planar domain with wired boundary conditions. The limiting distribut…
Second Order Asymptotics for the Hard Wall Probability of the 2D Harmonic Crystal
Maximilian Fels, Oren Louidor, Tianqi Wu
We estimate the probability that the discrete Gaussian free field on a planar domain with Dirichlet boundary conditions stays positive in the bulk. Improving upon the result by Bol…
Learning words in groups: fusion algebras, tensor ranks and grokking
Maor Shutman, Oren Louidor, Ran Tessler
In this work, we demonstrate that a simple two-layer neural network with standard activation functions can learn an arbitrary word operation in any finite group, provided sufficien…
Wetting Transition on Trees I: Percolation With Clustering
Aser Cortines, Itamar Harel, Dmitry Ioffe +1
A new ``Percolation with Clustering'' (PWC) model is introduced, where (the probabilities of) site percolation configurations on the leaf set of a binary tree are rewarded exponent…