[HTML][HTML] A comprehensive study of auto-encoders for anomaly detection: Efficiency and trade-offs

AA Neloy, M Turgeon - Machine Learning with Applications, 2024 - Elsevier
Unsupervised anomaly detection (UAD) is a diverse research area explored across various
application domains. Over time, numerous anomaly detection techniques, including …

Spherical sliced-wasserstein

C Bonet, P Berg, N Courty, F Septier, L Drumetz… - arxiv preprint arxiv …, 2022 - arxiv.org
Many variants of the Wasserstein distance have been introduced to reduce its original
computational burden. In particular the Sliced-Wasserstein distance (SW), which leverages …

Energy-based sliced wasserstein distance

K Nguyen, N Ho - Advances in Neural Information …, 2024 - proceedings.neurips.cc
The sliced Wasserstein (SW) distance has been widely recognized as a statistically effective
and computationally efficient metric between two probability measures. A key component of …

Hierarchical sliced wasserstein distance

K Nguyen, T Ren, H Nguyen, L Rout, T Nguyen… - arxiv preprint arxiv …, 2022 - arxiv.org
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 …

Revisiting sliced Wasserstein on images: From vectorization to convolution

K Nguyen, N Ho - Advances in Neural Information …, 2022 - proceedings.neurips.cc
The conventional sliced Wasserstein is defined between two probability measures that have
realizations as\textit {vectors}. When comparing two probability measures over images …

Self-attention amortized distributional projection optimization for sliced wasserstein point-cloud reconstruction

K Nguyen, D Nguyen, N Ho - International Conference on …, 2023 - proceedings.mlr.press
Abstract Max sliced Wasserstein (Max-SW) distance has been widely known as a solution
for less discriminative projections of sliced Wasserstein (SW) distance. In applications that …

Markovian sliced Wasserstein distances: Beyond independent projections

K Nguyen, T Ren, N Ho - Advances in Neural Information …, 2023 - proceedings.neurips.cc
Sliced Wasserstein (SW) distance suffers from redundant projections due to independent
uniform random projecting directions. To partially overcome the issue, max K sliced …

Stereographic spherical sliced wasserstein distances

H Tran, Y Bai, A Kothapalli, A Shahbazi, X Liu… - arxiv preprint arxiv …, 2024 - arxiv.org
Comparing spherical probability distributions is of great interest in various fields, including
geology, medical domains, computer vision, and deep representation learning. The utility of …

Sliced Wasserstein with random-path projecting directions

K Nguyen, S Zhang, T Le, N Ho - arxiv preprint arxiv:2401.15889, 2024 - arxiv.org
Slicing distribution selection has been used as an effective technique to improve the
performance of parameter estimators based on minimizing sliced Wasserstein distance in …

Sliced Wasserstein estimation with control variates

K Nguyen, N Ho - arxiv preprint arxiv:2305.00402, 2023 - arxiv.org
The sliced Wasserstein (SW) distances between two probability measures are defined as
the expectation of the Wasserstein distance between two one-dimensional projections of the …