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This manuscript outlines an automated anomaly detection framework for jet engines. It is tailored for identifying spatial anomalies in steady-state temperature measurements at various axial stations in an engine. The framework rests upon…

Applications · Statistics 2022-07-14 Pranay Seshadri , Andrew B. Duncan , George Thorne , Raul Vazquez Diaz

Anomaly detection aims to identify observations that deviate from expected behavior. Because anomalous events are inherently sparse, most frameworks are trained exclusively on normal data to learn a single reference model of normality. This…

Analyzing the distribution shift of data is a growing research direction in nowadays Machine Learning (ML), leading to emerging new benchmarks that focus on providing a suitable scenario for studying the generalization properties of ML…

Machine Learning · Computer Science 2023-04-04 Marius Dragoi , Elena Burceanu , Emanuela Haller , Andrei Manolache , Florin Brad

Semi-supervised learning has made remarkable strides by effectively utilizing a limited amount of labeled data while capitalizing on the abundant information present in unlabeled data. However, current algorithms often prioritize aligning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Zhiquan Tan , Kaipeng Zheng , Weiran Huang

Semi-discrete optimal transport (SOT), which maps a continuous probability measure to a discrete one, is a fundamental problem with wide-ranging applications. Entropic regularization is often employed to solve the SOT problem, leading to a…

Numerical Analysis · Mathematics 2025-08-01 Moaad Khamlich , Francesco Romor , Gianluigi Rozza

Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Chuyu Zhang , Hui Ren , Xuming He

Anomaly detection focuses on identifying samples that deviate from the norm. Discovering informative representations of normal samples is crucial to detecting anomalies effectively. Recent self-supervised methods have successfully learned…

Machine Learning · Computer Science 2025-09-22 Alain Ryser , Thomas M. Sutter , Alexander Marx , Julia E. Vogt

In the hunt for new and unobserved phenomena in particle physics, attention has turned in recent years to using advanced machine learning techniques for model independent searches. In this paper we highlight the main challenge of applying…

Optimal transport (OT) aims to find a map $T$ that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained popularity in high dimensional biological applications such…

Machine Learning · Computer Science 2025-05-20 Peter Chen , Yue Xie , Qingpeng Zhang

Optimal transport distances have found many applications in machine learning for their capacity to compare non-parametric probability distributions. Yet their algorithmic complexity generally prevents their direct use on large scale…

Machine Learning · Computer Science 2021-03-08 Kilian Fatras , Thibault Séjourné , Nicolas Courty , Rémi Flamary

Anomaly detection is the process of identifying atypical data samples that significantly deviate from the majority of the dataset. In the realm of clinical screening and diagnosis, detecting abnormalities in medical images holds great…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Xianyao Hu , Congming Jin

Out-of-distribution detection (OOD) deals with anomalous input to neural networks. In the past, specialized methods have been proposed to reject predictions on anomalous input. Similarly, it was shown that feature extraction models in…

Machine Learning · Computer Science 2022-01-25 Jan Diers , Christian Pigorsch

Optimal transport (OT) is a powerful tool for measuring the distance between two defined probability distributions. In this paper, we develop a new manifold named the coupling matrix manifold (CMM), where each point on CMM can be regarded…

Machine Learning · Computer Science 2019-11-26 Dai Shi , Junbin Gao , Xia Hong , S. T. Boris Choy , Zhiyong Wang

Optimal Transport (OT) is being widely used in various fields such as machine learning and computer vision, as it is a powerful tool for measuring the similarity between probability distributions and histograms. In previous studies, OT has…

Machine Learning · Statistics 2020-06-17 Yasunori Akagi , Yusuke Tanaka , Tomoharu Iwata , Takeshi Kurashima , Hiroyuki Toda

We investigate the problem of sampling from posterior distributions with intractable normalizing constants in Bayesian inference. Our solution is a new generative modeling approach based on optimal transport (OT) that learns a deterministic…

Computation · Statistics 2026-03-03 Ke Li , Wei Han , Yuexi Wang , Yun Yang

Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Out-of-distribution (OOD) detection, which aims to distinguish unknown classes from known classes, has received increasing attention recently. A main challenge within is the unavailable of samples from the unknown classes in the training…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Mingle Xu , Jaehwan Lee , Sook Yoon , Dong Sun Park

Clustering is a fundamental task in the computer vision and machine learning community. Although various methods have been proposed, the performance of existing approaches drops dramatically when handling incomplete high-dimensional data…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Mingjie Luo , Siwei Wang , Xinwang Liu , Wenxuan Tu , Yi Zhang , Xifeng Guo , Sihang Zhou , En Zhu

Inverse optimal transport (OT) refers to the problem of learning the cost function for OT from observed transport plan or its samples. In this paper, we derive an unconstrained convex optimization formulation of the inverse OT problem,…

Machine Learning · Computer Science 2021-07-06 Shaojun Ma , Haodong Sun , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

The matching principles behind optimal transport (OT) play an increasingly important role in machine learning, a trend which can be observed when OT is used to disambiguate datasets in applications (e.g. single-cell genomics) or used to…

Machine Learning · Statistics 2022-09-16 Meyer Scetbon , Marco Cuturi