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The Active Flux (AF) method is a compact, high-order finite volume scheme that enhances flexibility by introducing point values at cell interfaces as additional degrees of freedom alongside cell averages. The method of lines is employed…

Numerical Analysis · Mathematics 2025-08-08 Junming Duan , Wasilij Barsukow , Christian Klingenberg

Anomaly detection aims to identify samples that deviate from the nominal data distribution and is central to many safety-critical applications. However, developing effective anomaly detection methods for categorical, mixed-type, and…

Machine Learning · Computer Science 2026-05-29 Lixing Zhang , Yuchen Liang , Liyan Xie

This paper presents an arbitrary h.o. accurate ADER DG method on space-time adaptive meshes (AMR) for the solution of two important families of non-linear time dependent PDE for compr. dissipative flows: the compr. Navier-Stokes equations…

Numerical Analysis · Mathematics 2021-07-22 Francesco Fambri , Michael Dumbser , Olindo Zanotti

Diffusion-based generative models have significantly advanced text-to-image synthesis, demonstrating impressive text comprehension and zero-shot generalization. These models refine images from random noise based on textual prompts, with…

Machine Learning · Computer Science 2025-05-16 Youcef Djenouri , Nassim Belmecheri , Tomasz Michalak , Jan Dubiński , Ahmed Nabil Belbachir , Anis Yazidi

Explicit non-oscillatory central difference schemes become excessively diffusive when applied to highly nonlinear advection problems where small time steps are necessary to maintain stability. Here, we present a correction to reduce such…

Computational Physics · Physics 2019-11-12 Haseeb Zia , Guy Simpson

Hyperbolic systems under nonconservative form arise in numerous applications modeling physical processes, for example from the relaxation of more general equations (e.g. with dissipative terms). This paper reviews an existing class of…

Numerical Analysis · Mathematics 2020-05-14 Adrián Navas-Montilla , Ilhan Özgen-Xian

In this paper, we consider the initial boundary value problem of the two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations. An alternating direction implicit (ADI) spectral method is developed based on…

Numerical Analysis · Mathematics 2018-09-03 Zeting Liu , Fawang Liu , Fanhai Zeng

Deep 3D point cloud models are sensitive to adversarial attacks, which poses threats to safety-critical applications such as autonomous driving. Robust training and defend-by-denoising are typical strategies for defending adversarial…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Kui Zhang , Hang Zhou , Jie Zhang , Qidong Huang , Weiming Zhang , Nenghai Yu

We propose AdaDS, a generalizable framework for depth super-resolution that robustly recovers high-resolution depth maps from arbitrarily degraded low-resolution inputs. Unlike conventional approaches that directly regress depth values and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Kun Wang , Yun Zhu , Pan Zhou , Na Zhao

This paper aims to address the unsupervised video anomaly detection (VAD) problem, which involves classifying each frame in a video as normal or abnormal, without any access to labels. To accomplish this, the proposed method employs…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Anil Osman Tur , Nicola Dall'Asen , Cigdem Beyan , Elisa Ricci

The Harmonic Balance-Alternating Frequency-Time domain (HB-AFT) method is extensively employed for dynamic response analysis of nonlinear systems. However, its application to high-dimensional complex systems is constrained by the manual…

Computational Engineering, Finance, and Science · Computer Science 2025-08-12 Yi Chen , Yuhong Jin , Rongzhou Lin , Yifan Jiang , Xutao Mei , Lei Houb , Yilong Wang , Ng Teng Yong , Anxin Guo

Data assimilation has become a key technique for combining physical models with observational data to estimate state variables. However, classical assimilation algorithms often struggle with the high nonlinearity present in both physical…

Machine Learning · Computer Science 2025-07-22 Zhuoyuan Li , Bin Dong , Pingwen Zhang

Deep learning is widely applied in computer-aided pathological diagnosis, which alleviates the pathologist workload and provide timely clinical analysis. However, most models generally require large-scale annotated data for training, which…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Zeyu Liu , Tianyi Zhang , Yufang He , Yunlu Feng , Yu Zhao , Guanglei Zhang

Single-photon avalanche diodes (SPADs) have emerged as a promising candidate for optical wireless communication (OWC) owing to their ultra-high sensitivity and singlephoton detection capability. However, under strong background radiation or…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Chen Wang , Zhiyong Xu , Jingyuan Wang , Jianhua Li , Weifeng Mou , Huatao Zhu

Due to the scarcity and unpredictable nature of defect samples, industrial anomaly detection (IAD) predominantly employs unsupervised learning. However, all unsupervised IAD methods face a common challenge: the inherent bias in normal…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Xin Chen , Liujuan Cao , Shengchuan Zhang , Xiewu Zheng , Yan Zhang

Herein, security of deep neural network against adversarial attack is considered. Existing compressive sensing based defence schemes assume that adversarial perturbations are usually on high frequency components, whereas recently it has…

Image and Video Processing · Electrical Eng. & Systems 2021-10-12 Akash Kumar Gupta , Arpan Chattopadhyay , Darpan Kumar Yadav

Diffusion models have been recently used for anomaly detection (AD) in images. In this paper we investigate whether they can also be leveraged for AD on multivariate time series (MTS). We test two diffusion-based models and compare them to…

Machine Learning · Computer Science 2023-11-03 Ioana Pintilie , Andrei Manolache , Florin Brad

This paper outlines the development and testing of a novel, feedback-enabled attention allocation aid (AAAD), which uses real-time physiological data to improve human performance in a realistic sequential visual search task. Indeed, by…

Human-Computer Interaction · Computer Science 2017-01-17 Arturo Deza , Jeffrey R. Peters , Grant S. Taylor , Amit Surana , Miguel P. Eckstein

In this paper we blend high-order Compact Approximate Taylor (CAT) numerical methods with the a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws. The resulting methods are…

Numerical Analysis · Mathematics 2023-03-22 R. Loubere , E. Macca , C. Pares , G. Russo

Anomaly detection in complex, high-dimensional data, such as UAV sensor readings, is essential for operational safety but challenging for existing methods due to their limited sensitivity, scalability, and inability to capture intricate…

Machine Learning · Computer Science 2025-10-28 Mingze Gong , Juan Du , Jianbang You