7 citations · 11 across the 6 of their papers we have counts for
6 papers
The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency
Joseph Najnudel, Elliot Paquette, Nick Simm +1
The holomorphic multiplicative chaos (HMC) is a holomorphic analogue of the Gaussian multiplicative chaos. It arises naturally as the limit in large matrix size of the characterist…
Hitting the High-Dimensional Notes: An ODE for SGD learning dynamics on GLMs and multi-index models
Elizabeth Collins-Woodfin, Courtney Paquette, Elliot Paquette +1
We analyze the dynamics of streaming stochastic gradient descent (SGD) in the high-dimensional limit when applied to generalized linear models and multi-index models (e.g. logistic…
High-dimensional limit of one-pass SGD on least squares
Elizabeth Collins-Woodfin, Elliot Paquette
We give a description of the high-dimensional limit of one-pass single-batch stochastic gradient descent (SGD) on a least squares problem. This limit is taken with non-vanishing st…
Anchored expansion, speed, and the hyperbolic Poisson Voronoi tessellation
Itai Benjamini, Elliot Paquette, Joshua Pfeffer
We show that random walk on a stationary random graph with positive anchored expansion and exponential volume growth has positive speed. We also show that two families of random tr…
The power of choice combined with preferential attachment
Yury Malyshkin, Elliot Paquette
We prove almost sure convergence of the maximum degree in an evolving tree model combining local choice and preferential attachment. At each step in the growth of the graph, a new…
Global Fluctuations for Linear Statistics of β-Jacobi Ensembles
Ioana Dumitriu, Elliot Paquette
We study the global fluctuations for linear statistics of the form as , for functions , and being the eigenvalu…