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This paper is devoted to the error analysis of a time-spectral algorithm for fractional diffusion problems of order $\alpha$ ($0 < \alpha < 1$). The solution regularity in the Sobolev space is revisited, and new regularity results in the…

Numerical Analysis · Mathematics 2021-06-08 Hao Luo , Xiaoping Xie

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

Computation · Statistics 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

Video-diffusion models have recently set the standard in video generation, inpainting, and domain translation thanks to their training stability and high perceptual fidelity. Building on these strengths, we repurpose conditional video…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Jaewan Park , Farid Ahmed , Kazuma Kobayashi , Seid Koric , Syed Bahauddin Alam , Iwona Jasiuk , Diab Abueidda

The new method for aerosol measurement using wide-field stellar photometry was originally developed for B-filter data. The dependence of VAOD (vertical aerosol optical depth) on wavelength can be used to understand the physical…

Instrumentation and Methods for Astrophysics · Physics 2025-05-06 Shefali Negi , Jan Ebr , Sergey Karpov , Jiří Eliášek

In this work, we present an extensive computational study on the Ziff-Gulari-Barshad (ZGB) model extended in order to include the spatial diffusion of oxygen atoms and carbon monoxide molecules, both adsorbed on the surface. In our…

Statistical Mechanics · Physics 2018-08-01 Roberto da Silva , Henrique Almeida Fernandes

We propose a new formulation of temporal action detection (TAD) with denoising diffusion, DiffTAD in short. Taking as input random temporal proposals, it can yield action proposals accurately given an untrimmed long video. This presents a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Sauradip Nag , Xiatian Zhu , Jiankang Deng , Yi-Zhe Song , Tao Xiang

This article presents an innovative approach for developing an efficient reduced-order model to study the dispersion of urban air pollutants. The need for real-time air quality monitoring has become increasingly important, given the rise in…

Numerical Analysis · Mathematics 2023-05-29 Moaad Khamlich , Giovanni Stabile , Gianluigi Rozza , László Környei , Zoltán Horváth

In the task of 3D Aerial-view Scene Semantic Segmentation (3D-AVS-SS), traditional methods struggle to address semantic ambiguity caused by scale variations and structural occlusions in aerial images. This limits their segmentation accuracy…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Xu Tang , Junan Jia , Yijing Wang , Jingjing Ma , Xiangrong Zhang

Data assimilation (DA) integrates observations with model forecasts to produce optimized atmospheric states, whose physical consistency is critical for stable weather forecasting and reliable climate research. Traditional Bayesian DA…

Atmospheric and Oceanic Physics · Physics 2026-03-05 Hang Fan , Lei Bai , Ben Fei , Yi Xiao , Kun Chen , Yubao Liu , Yongquan Qu , Fenghua Ling , Pierre Gentine

The diffusion model has shown remarkable success in computer vision, but it remains unclear whether the ODE-based probability flow or the SDE-based diffusion model is more superior and under what circumstances. Comparing the two is…

Machine Learning · Computer Science 2023-11-08 Yu Cao , Jingrun Chen , Yixin Luo , Xiang Zhou

One main challenge in time series anomaly detection for industrial IoT lies in the complex spatio-temporal couplings within multivariate data. However, traditional anomaly detection methods focus on modeling spatial or temporal dependencies…

Machine Learning · Computer Science 2025-09-30 Tao Yin , Xiaohong Zhang , Shaochen Fu , Zhibin Zhang , Li Huang , Yiyuan Yang , Kaixiang Yang , Meng Yan

In this paper we present the discontinuous Galerkin method to solve the problem of the two-dimensional air pollution model. The resulting system of ordinary differential equations is called the semidiscrete formulation. We show the…

Numerical Analysis · Mathematics 2011-08-11 Lite Zhao , Xijian Wang , Qinzhi Hou

Aero-optical beam control relies on the development of low-latency forecasting techniques to quickly predict wavefronts aberrated by the Turbulent Boundary Layer (TBL) around an airborne optical system, and its study applies to a…

Integrating sphere (IS) techniques combined with an inverse adding doubling (IAD) algorithm have been widely used for determination of optical properties of ex vivo tissues. Semi-infinite samples are required in such cases. The aim of this…

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

Visual-LiDAR odometry is a critical component for autonomous system localization, yet achieving high accuracy and strong robustness remains a challenge. Traditional approaches commonly struggle with sensor misalignment, fail to fully…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Mengmeng Liu , Michael Ying Yang , Jiuming Liu , Yunpeng Zhang , Jiangtao Li , Sander Oude Elberink , George Vosselman , Hao Cheng

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

As point cloud data increases in prevalence in a variety of applications, the ability to detect out-of-distribution (OOD) point cloud objects becomes critical for ensuring model safety and reliability. However, this problem remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Adam Goodge , Xun Xu , Bryan Hooi , Wee Siong Ng , Jingyi Liao , Yongyi Su , Xulei Yang

Satellite-derived aerosol optical depth (AOD) has been increasingly employed for the estimation of ground-level PM2.5, which is often achieved by modeling the relationship between AOD and PM2.5. To evaluate the accuracy of PM2.5 estimation,…

Atmospheric and Oceanic Physics · Physics 2018-12-04 Tongwen Li , Huanfeng Shen , Qiangqiang Yuan , Liangpei Zhang
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