Our proof technique is based on a novel notion of algebraic independence of the expert functions. Drawing on optimal transport, we establish a connection ...

Jul 9, 2019 · We establish the convergence rates of the maximum likelihood estimation (MLE) for these models. Our proof technique is based on a novel notion ...

We establish the convergence rates of the maximum likeli- hood estimation (MLE) for these models. Our proof technique is based on a novel notion of algebraic ...

We establish the convergence rates of the maximum likeli- hood estimation (MLE) for these models. Our proof technique is based on a novel notion of algebraic ...

Drawing on optimal transport theory, a connection is established between the algebraic independence of the expert functions and a certain class of partial ...

Jan 1, 2022 · We provide a theoretical treatment of over-specified Gaussian mixtures of experts with covariate-free gating networks.

May 12, 2023 · Our findings reveal that the MLE has distinct behaviors under two complement settings of location parameters of the Gaussian gating functions, ...

The convergence rate is found to be dependent on both $m$ and $k$, and certain choices of $m$ and $k$ are found to produce optimal convergence rates. Therefore, ...

We address these issues by designing novel Voronoi loss functions to accurately capture heterogeneity in the maximum likelihood estimator (MLE) for resolving ...

A convergence analysis for maximum likelihood estimation (MLE) in the Gaussian-gated MoE model is provided, revealing that the MLE has distinct behaviors ...