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The field of quickest change detection (QCD) concerns design and analysis of algorithms to estimate in real time the time at which an important event takes place and identify properties of the post-change behavior. The goal is to devise a…

Statistics Theory · Mathematics 2024-09-13 Austin Cooper , Sean Meyn

We develop a statistical inference method for an optimal transport map between distributions on real numbers with uniform confidence bands. The concept of optimal transport (OT) is used to measure distances between distributions, and OT…

Statistics Theory · Mathematics 2024-02-16 Donlapark Ponnoprat , Ryo Okano , Masaaki Imaizumi

This article introduces a new notion of optimal transport (OT) between tensor fields, which are measures whose values are positive semidefinite (PSD) matrices. This "quantum" formulation of OT (Q-OT) corresponds to a relaxed version of the…

Graphics · Computer Science 2017-07-25 Gabriel Peyré , Lenaïc Chizat , François-Xavier Vialard , Justin Solomon

Detecting out-of-distribution (OOD) instances is crucial for the reliable deployment of machine learning models in real-world scenarios. OOD inputs are commonly expected to cause a more uncertain prediction in the primary task; however,…

Machine Learning · Computer Science 2024-05-22 Mohammad Azizmalayeri , Ameen Abu-Hanna , Giovanni Cinà

This paper deals with analysis, simultaneous detection of faults and attacks, fault-tolerant control and attack-resilient of cyber-physical control systems. In our recent work, it has been observed that an attack detector driven by an input…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Linlin Li , Steven X. Ding , Maiying Zhong , Dong Zhao , Yang Shi

The optimal transport (OT) map offers the most economical way to transfer one probability measure distribution to another. Classical OT theory does not involve a discussion of preserving topological connections and orientations in…

General Topology · Mathematics 2025-07-03 Yuping Lv , Qi Zhao , Xuebin Chang , Wei Zeng

We develop new efficient online algorithms for detecting transient sparse signals in TEM video sequences, by adopting the recently developed framework for sequential detection jointly with online convex optimization [1]. We cast the problem…

Applications · Statistics 2017-11-01 Y. Cao , S. Zhu , Y. Xie , J. Key , J. Kacher , R. R. Unocic , C. M. Rouleau

Optimal Transport is a popular distance metric for measuring similarity between distributions. Exact algorithms for computing Optimal Transport can be slow, which has motivated the development of approximate numerical solvers (e.g. Sinkhorn…

Machine Learning · Computer Science 2022-03-09 Nathaniel Lahn , Sharath Raghvendra , Kaiyi Zhang

Although vital to computer vision systems, few-shot action recognition is still not mature despite the wide research of few-shot image classification. Popular few-shot learning algorithms extract a transferable embedding from seen classes…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Su Lu , Han-Jia Ye , De-Chuan Zhan

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

Machine Learning · Statistics 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

It is essential for safety-critical applications of deep neural networks to determine when new inputs are significantly different from the training distribution. In this paper, we explore this out-of-distribution (OOD) detection problem for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Poulami Sinhamahapatra , Rajat Koner , Karsten Roscher , Stephan Günnemann

In distributed detection, there does not exist an automatic way of generating optimal decision strategies for non-affine decision functions. Consequently, in a detection problem based on a non-affine decision function, establishing…

Information Theory · Computer Science 2024-08-20 Earnest Akofor

Optimal Transport (OT) problem investigates a transport map that bridges two distributions while minimizing a given cost function. In this regard, OT between tractable prior distribution and data has been utilized for generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

The rapid expansion of Internet of Things (IoT) devices has increased the risk of cyber-attacks, making effective detection essential for securing IoT networks. This work introduces a novel approach combining Self-Organizing Maps (SOMs),…

Cryptography and Security · Computer Science 2025-03-05 Ahmed Bensaoud , Jugal Kalita

Out-of-distribution (OOD) detection is crucial for the safe deployment of neural networks. Existing CLIP-based approaches perform OOD detection by devising novel scoring functions or sophisticated fine-tuning methods. In this work, we…

Computation and Language · Computer Science 2024-11-06 Yixia Li , Boya Xiong , Guanhua Chen , Yun Chen

Optimal transport (OT) has become a widely used tool in the machine learning field to measure the discrepancy between probability distributions. For instance, OT is a popular loss function that quantifies the discrepancy between an…

Machine Learning · Computer Science 2022-12-27 Shintaro Nakamura , Han Bao , Masashi Sugiyama

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Detecting Out-of-Distribution (OOD) samples in real world visual applications like classification or object detection has become a necessary precondition in today's deployment of Deep Learning systems. Many techniques have been proposed, of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Abhishek Joshi , Sathish Chalasani , Kiran Nanjunda Iyer

A primal-dual accelerated stochastic gradient descent with variance reduction algorithm (PDASGD) is proposed to solve linear-constrained optimization problems. PDASGD could be applied to solve the discrete optimal transport (OT) problem and…

Machine Learning · Statistics 2023-05-31 Yiling Xie , Yiling Luo , Xiaoming Huo

Effective Out-of-Distribution (OOD) detection is criti-cal for ensuring the reliability of semantic segmentation models, particularly in complex road environments where safety and accuracy are paramount. Despite recent advancements in large…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Jeonghyo Song , Kimin Yun , DaeUng Jo , Jinyoung Kim , Youngjoon Yoo
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