24 citations · 56 across the 13 of their papers we have counts for
6 papers · 1 filter
Entropic Gromov-Wasserstein between Gaussian Distributions
Khang Le, Dung Le, Huy Nguyen +3
We study the entropic Gromov-Wasserstein and its unbalanced version between (unbalanced) Gaussian distributions with different dimensions. When the metric is the inner product, whi…
Improving Mini-batch Optimal Transport via Partial Transportation
Khai Nguyen, Dang Nguyen, The-Anh Vu-Le +2
Mini-batch optimal transport (m-OT) has been widely used recently to deal with the memory issue of OT in large-scale applications. Despite their practicality, m-OT suffers from mis…
On Multimarginal Partial Optimal Transport: Equivalent Forms and Computational Complexity
Khang Le, Huy Nguyen, Tung Pham +1
We study the multi-marginal partial optimal transport (POT) problem between discrete (unbalanced) measures with at most supports. We first prove that we can obtain two equi…
On Robust Optimal Transport: Computational Complexity and Barycenter Computation
Khang Le, Huy Nguyen, Quang Nguyen +3
We consider robust variants of the standard optimal transport, named robust optimal transport, where marginal constraints are relaxed via Kullback-Leibler divergence. We show that…
On Transportation of Mini-batches: A Hierarchical Approach
Khai Nguyen, Dang Nguyen, Quoc Nguyen +5
Mini-batch optimal transport (m-OT) has been successfully used in practical applications that involve probability measures with a very high number of supports. The m-OT solves seve…
Point-set Distances for Learning Representations of 3D Point Clouds
Trung Nguyen, Quang-Hieu Pham, Tam Le +3
Learning an effective representation of 3D point clouds requires a good metric to measure the discrepancy between two 3D point sets, which is non-trivial due to their irregularity.…