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Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

We propose a sensor-restrained model for the shear viscosity term within the localized artificial diffusivity (LAD) scheme to stabilize compressible large-eddy simulations with low-pressure-core vortical structures. LAD methods are used in…

The application of supervised models to clinical screening tasks is challenging due to the need for annotated data for each considered pathology. Unsupervised Anomaly Detection (UAD) is an alternative approach that aims to identify any…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Finn Behrendt , Debayan Bhattacharya , Robin Mieling , Lennart Maack , Julia Krüger , Roland Opfer , Alexander Schlaefer

Video Anomaly Detection (VAD) is essential for computer vision research. Existing VAD methods utilize either reconstruction-based or prediction-based frameworks. The former excels at detecting irregular patterns or structures, whereas the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Hongsong Wang , Andi Xu , Pinle Ding , Jie Gui

Stable diffusion, a generative model used in text-to-image synthesis, frequently encounters resolution-induced composition problems when generating images of varying sizes. This issue primarily stems from the model being trained on pairs of…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Qingping Zheng , Yuanfan Guo , Jiankang Deng , Jianhua Han , Ying Li , Songcen Xu , Hang Xu

Recommendation systems often rely on implicit feedback, where only positive user-item interactions can be observed. Negative sampling is therefore crucial to provide proper negative training signals. However, existing methods tend to…

Information Retrieval · Computer Science 2026-01-06 Na Li , Fanghui Sun , Yan Zou , Yangfu Zhu , Xiatian Zhu , Ying Ma

We develop new adaptive alternative weighted essentially non-oscillatory (A-WENO) schemes for hyperbolic systems of conservation laws. The new schemes employ the recently proposed local characteristic decomposition based central-upwind…

Numerical Analysis · Mathematics 2022-11-15 Alina Chertock , Shaoshuai Chu , Alexander Kurganov

High resolution, non-oscillatory, central difference (NOCD) numerical schemes are introduced as alternatives to more traditional artificial viscosity (AV) and Godunov methods for solving the fully general relativistic hydrodynamics…

Astrophysics · Physics 2009-11-07 Peter Anninos , P. Chris Fragile

This paper studies the active flux (AF) methods for two-dimensional hyperbolic conservation laws, focusing on the flux vector splitting (FVS) for the point value update and bound-preserving (BP) limitings, which is an extension of our…

Numerical Analysis · Mathematics 2024-11-05 Junming Duan , Wasilij Barsukow , Christian Klingenberg

We present the first evidence that adaptive learning techniques can boost the discovery of unusual objects within astronomical light curve data sets. Our method follows an active learning strategy where the learning algorithm chooses…

We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development of accurate and robust numerical methods for the…

Numerical Analysis · Mathematics 2022-11-09 Alina Chertock , Shaoshuai Chu , Michael Herty , Alexander Kurganov , Maria Lukacova-Medvidova

We develop new more efficient A-WENO schemes for both hyperbolic systems of conservation laws and nonconservative hyperbolic systems. The new schemes are a very simple modification of the existing A-WENO schemes: They are obtained by a more…

Numerical Analysis · Mathematics 2025-05-26 Shaoshuai Chu , Alexander Kurganov , Ruixiao Xin

Anomaly detection has garnered extensive applications in real industrial manufacturing due to its remarkable effectiveness and efficiency. However, previous generative-based models have been limited by suboptimal reconstruction quality,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Hui Zhang , Zheng Wang , Dan Zeng , Zuxuan Wu , Yu-Gang Jiang

The versatility of diffusion models in generating customized images from few samples raises significant privacy concerns, particularly regarding unauthorized modifications of private content. This concerning issue has renewed the efforts in…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Xide Xu , Sandesh Kamath , Muhammad Atif Butt , Bogdan Raducanu

Denoising diffusion models have shown remarkable potential in various generation tasks. The open-source large-scale text-to-image model, Stable Diffusion, becomes prevalent as it can generate realistic artistic or facial images with…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Ruijia Wu , Yuhang Wang , Huafeng Shi , Zhipeng Yu , Yichao Wu , Ding Liang

In this paper, we propose an augmented subspace based adaptive proper orthogonal decomposition (POD) method for solving the time dependent partial differential equations. By augmenting the POD subspace with some auxiliary modes, we obtain…

Numerical Analysis · Mathematics 2023-04-19 Xiaoying Dai , Miao Hu , Jack Xin , Aihui Zhou

This paper focuses on developing a reduction-based algebraic multigrid method that is suitable for solving general (non)symmetric linear systems and is naturally robust from pure advection to pure diffusion. Initial motivation comes from a…

Numerical Analysis · Mathematics 2024-05-16 Ahsan Ali , James Brannick , Karsten Kahl , Oliver A. Krzysik , Jacob B. Schroder , Ben S. Southworth

Inverse design of complex flows is notoriously challenging because of the high cost of high dimensional optimization. Usually, optimization problems are either restricted to few control parameters, or adjoint-based approaches are used to…

Fluid Dynamics · Physics 2024-03-12 Mohammed Alhashim , Kaylie Hausknecht , Michael Brenner

Efficient and accurate numerical simulation of seismic wave propagation is important in various Geophysical applications such as seismic full waveform inversion (FWI) problem. However, due to the large size of the physical domain and…

Numerical Analysis · Computer Science 2019-03-22 Keran Li , Wenyuan Liao , Yaoting Lin