3 papers
math.CO2024
Mixing on Generalized Associahedra
William Chang, Colin Defant, Daniel Frishberg
Eppstein and Frishberg recently proved that the mixing time for the simple random walk on the -skeleton of the associahedron is . We obtain similar rapid mixing…
math.CO2022
Stochastic Couplings and Bijections from the Symmetric Group to Itself
William Chang
Inspired by the Stochastic processes described by the Feller Coupling and Chinese Restaurant Processes, we create four different bijections from words in the set $[1]\times [2] \ti…
cs.LG2022
Approximation Capabilities of Neural Networks using Morphological Perceptrons and Generalizations
William Chang, Hassan Hamad, Keith M. Chugg
Standard artificial neural networks (ANNs) use sum-product or multiply-accumulate node operations with a memoryless nonlinear activation. These neural networks are known to have un…