57 citations · 432 across the 81 of their papers we have counts for
7 papers · 2 filters
Fast Approximation of the Generalized Sliced-Wasserstein Distance
Dung Le, Huy Nguyen, Khai Nguyen +2
Generalized sliced Wasserstein distance is a variant of sliced Wasserstein distance that exploits the power of non-linear projection through a given defining function to better cap…
Hierarchical Sliced Wasserstein Distance
Khai Nguyen, Tongzheng Ren, Huy Nguyen +3
Sliced Wasserstein (SW) distance has been widely used in different application scenarios since it can be scaled to a large number of supports without suffering from the curse of di…
Beyond EM Algorithm on Over-specified Two-Component Location-Scale Gaussian Mixtures
Tongzheng Ren, Fuheng Cui, Sujay Sanghavi +1
The Expectation-Maximization (EM) algorithm has been predominantly used to approximate the maximum likelihood estimation of the location-scale Gaussian mixtures. However, when the…
An Exponentially Increasing Step-size for Parameter Estimation in Statistical Models
Nhat Ho, Tongzheng Ren, Sujay Sanghavi +2
Using gradient descent (GD) with fixed or decaying step-size is a standard practice in unconstrained optimization problems. However, when the loss function is only locally convex,…
Amortized Projection Optimization for Sliced Wasserstein Generative Models
Khai Nguyen, Nhat Ho
Seeking informative projecting directions has been an important task in utilizing sliced Wasserstein distance in applications. However, finding these directions usually requires an…
Improving Computational Complexity in Statistical Models with Second-Order Information
Tongzheng Ren, Jiacheng Zhuo, Sujay Sanghavi +1
It is known that when the statistical models are singular, i.e., the Fisher information matrix at the true parameter is degenerate, the fixed step-size gradient descent algorithm t…
Beyond Black Box Densities: Parameter Learning for the Deviated Components
Dat Do, Nhat Ho, XuanLong Nguyen
As we collect additional samples from a data population for which a known density function estimate may have been previously obtained by a black box method, the increased complexit…