1 code implementation • LREC 2022 • Khang Le, Hien Nguyen, Tung Le Thanh, Minh Nguyen
(4) The dataset is in Vietnamese, a low-resource language.
no code implementations • 24 Aug 2021 • Khang Le, Dung Le, Huy Nguyen, Dat Do, Tung Pham, Nhat Ho
When the metric is the inner product, which we refer to as inner product Gromov-Wasserstein (IGW), we demonstrate that the optimal transportation plans of entropic IGW and its unbalanced variant are (unbalanced) Gaussian distributions.
no code implementations • 18 Aug 2021 • Khang Le, Huy Nguyen, Tung Pham, Nhat Ho
We demonstrate that the ApproxMPOT algorithm can approximate the optimal value of multimarginal POT problem with a computational complexity upper bound of the order $\tilde{\mathcal{O}}(m^3(n+1)^{m}/ \varepsilon^2)$ where $\varepsilon > 0$ stands for the desired tolerance.
no code implementations • NeurIPS 2021 • Khang Le, Huy Nguyen, Quang Nguyen, Tung Pham, Hung Bui, Nhat Ho
We consider robust variants of the standard optimal transport, named robust optimal transport, where marginal constraints are relaxed via Kullback-Leibler divergence.
1 code implementation • ICML 2020 • Khiem Pham, Khang Le, Nhat Ho, Tung Pham, Hung Bui
We provide a computational complexity analysis for the Sinkhorn algorithm that solves the entropic regularized Unbalanced Optimal Transport (UOT) problem between two measures of possibly different masses with at most $n$ components.