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Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

In this paper a novel approach to co-design controller and attack detector for nonlinear cyber-physical systems affected by false data injection (FDI) attack is proposed. We augment the model predictive controller with an additional…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Mohammadreza Chamanbaz , Fabrizio Dabbene , Roland Bouffanais

Attacks in cyber-physical systems (CPS) which manipulate sensor readings can cause enormous physical damage if undetected. Detection of attacks on sensors is crucial to mitigate this issue. We study supervised regression as a means to…

Artificial Intelligence · Computer Science 2018-05-01 Amin Ghafouri , Yevgeniy Vorobeychik , Xenofon Koutsoukos

In machine learning, Optimal Transport (OT) theory is extensively utilized to compare probability distributions across various applications, such as graph data represented by node distributions and image data represented by pixel…

Machine Learning · Computer Science 2025-01-30 Jianming Huang , Xun Su , Zhongxi Fang , Hiroyuki Kasai

Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal transport (COOT) takes this comparison further by inferring an alignment between features as well. While this…

Estimating the reachable set of a dynamical system is a fundamental problem in control theory, particularly when control inputs are bounded. Direct simulation using randomly sampled admissible controls often leads to trajectories that…

Optimization and Control · Mathematics 2025-11-20 Karthik Elamvazhuthi , Sachin Shivakumar

Recent advances in label assignment in object detection mainly seek to independently define positive/negative training samples for each ground-truth (gt) object. In this paper, we innovatively revisit the label assignment from a global…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Zheng Ge , Songtao Liu , Zeming Li , Osamu Yoshie , Jian Sun

This paper proposes a game-theoretic method to address the problem of optimal detector placement in a networked control system under cyber-attacks. The networked control system is composed of interconnected agents where each agent is…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira , Alexander Medvedev

We study the optimal design of stealthy attacks against partially observed linear control systems. We first propose a novel likelihood-based detection mechanism derived from the innovation process, based on which we quantify stealthiness…

Optimization and Control · Mathematics 2026-05-12 Haosheng Zhou , Ruimeng Hu

The objective in statistical Optimal Transport (OT) is to consistently estimate the optimal transport plan/map solely using samples from the given source and target marginal distributions. This work takes the novel approach of posing…

Machine Learning · Computer Science 2020-11-11 J. Saketha Nath , Pratik Jawanpuria

Optimal transport (OT) has become exceedingly popular in machine learning, data science, and computer vision. The core assumption in the OT problem is the equal total amount of mass in source and target measures, which limits its…

Machine Learning · Computer Science 2023-08-08 Yikun Bai , Berhnard Schmitzer , Mathew Thorpe , Soheil Kolouri

Survival prediction is a complicated ordinal regression task that aims to predict the ranking risk of death, which generally benefits from the integration of histology and genomic data. Despite the progress in joint learning from pathology…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Yingxue Xu , Hao Chen

Given a $d$-dimensional continuous (resp. discrete) probability distribution $\mu$ and a discrete distribution $\nu$, the semi-discrete (resp. discrete) Optimal Transport (OT) problem asks for computing a minimum-cost plan to transport mass…

Computational Geometry · Computer Science 2023-11-07 Pankaj K. Agarwal , Sharath Raghvendra , Pouyan Shirzadian , Keegan Yao

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (accurately estimated), while the only information about the…

Statistics Theory · Mathematics 2023-09-29 Liyan Xie , Yuchen Liang , Venugopal V. Veeravalli

Most classification and segmentation datasets assume a closed-world scenario in which predictions are expressed as distribution over a predetermined set of visual classes. However, such assumption implies unavoidable and often unnoticeable…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Petra Bevandić , Ivan Krešo , Marin Oršić , Siniša Šegvić

Diffusion Models (DMs) have achieved remarkable progress in generative modeling. However, the mismatch between the forward terminal distribution and reverse initial distribution introduces prior error, leading to deviations of sampling…

Machine Learning · Computer Science 2026-02-06 Zhanpeng Wang , Shenghao Li , Jiameng Che , Chen Wang , Shangling Jui , Na Lei , Zhongxuan Luo

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

This paper studies the performance and resilience of a cyber-physical control system (CPCS) with attack detection and reactive attack mitigation. It addresses the problem of deriving an optimal sequence of false data injection attacks that…

Cryptography and Security · Computer Science 2017-06-07 Subhash Lakshminarayana , Teo Zhan Teng , David K. Y. Yau , Rui Tan

Reliable traversable area segmentation in unstructured environments is critical for planning and decision-making in autonomous driving. However, existing data-driven approaches often suffer from degraded segmentation performance in…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Zhihua Zhao , Guoqiang Li , Chen Min , Kangping Lu

Autonomous agents for cyber applications take advantage of modern defense techniques by adopting intelligent agents with conventional and learning-enabled components. These intelligent agents are trained via reinforcement learning (RL)…

Machine Learning · Computer Science 2024-12-05 Ankita Samaddar , Nicholas Potteiger , Xenofon Koutsoukos