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This paper presents a stochastic differential equation (SDE) approach for general-purpose image restoration. The key construction consists in a mean-reverting SDE that transforms a high-quality image into a degraded counterpart as a mean…

机器学习 · 计算机科学 2023-06-01 Ziwei Luo , Fredrik K. Gustafsson , Zheng Zhao , Jens Sjölund , Thomas B. Schön

High-resolution elevation data is essential for hydrological modeling, hazard assessment, and environmental monitoring; however, globally consistent, fine-scale Digital Elevation Models (DEMs) remain unavailable. Very high-resolution…

计算机视觉与模式识别 · 计算机科学 2026-04-03 Osher Rafaeli , Tal Svoray , Ariel Nahlieli

Efficient climate change monitoring and modeling rely on high-quality geospatial and environmental datasets. Due to limitations in technical capabilities or resources, the acquisition of high-quality data for many environmental disciplines…

图像与视频处理 · 电气工程与系统科学 2021-09-21 Bekir Z Demiray , Muhammed Sit , Ibrahim Demir

Digital Elevation Models (DEMs) are important datasets for modelling the line of sight, such as radio signals, sound waves and human vision. These are commonly analyzed using rotational sweep algorithms. However, such algorithms require…

数据结构与算法 · 计算机科学 2021-01-25 A. J. Sanchez-Fernandez , L. F. Romero , G. Bandera , S. Tabik

Event cameras respond to brightness changes in the scene asynchronously and independently for every pixel. Due to the properties, these cameras have distinct features: high dynamic range (HDR), high temporal resolution, and low power…

计算机视觉与模式识别 · 计算机科学 2022-10-17 Jongwan Kim , DongJin Lee , Byunggook Na , Seongsik Park , Jeonghee Jo , Sungroh Yoon

Sampling from Diffusion Models can alternatively be seen as solving differential equations, where there is a challenge in balancing speed and image visual quality. ODE-based samplers offer rapid sampling time but reach a performance limit,…

机器学习 · 计算机科学 2025-02-28 Qinpeng Cui , Xinyi Zhang , Qiqi Bao , Qingmin Liao

Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or…

Fast and accurate simulation of dynamical systems is a fundamental challenge across scientific and engineering domains. Traditional numerical integrators often face a trade-off between accuracy and computational efficiency, while existing…

计算工程、金融与科学 · 计算机科学 2026-03-06 Jiaxin Yuan , Haizhao Yang , Maria Cameron

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

统计计算 · 统计学 2012-05-03 Umberto Picchini , Susanne Ditlevsen

Stochastic differential equations (SDEs) offer powerful and accessible mathematical models for capturing both deterministic and probabilistic aspects of dynamic behavior across a wide range of physical, financial, and social systems.…

统计理论 · 数学 2026-02-17 Paromita Banerjee , Anirban Mondal

Digital Elevation Model (DEM) is an essential aspect in the remote sensing domain to analyze and explore different applications related to surface elevation information. In this study, we intend to address the generation of high-resolution…

图像与视频处理 · 电气工程与系统科学 2024-09-23 Subhajit Paul , Ashutosh Gupta

Several methods have been proposed for correcting the elevation bias in digital elevation models (DEMs) for example, linear regression. Nowadays, supervised machine learning enables the modelling of complex relationships between variables,…

机器学习 · 计算机科学 2024-02-13 Chukwuma Okolie , Adedayo Adeleke , Julian Smit , Jon Mills , Iyke Maduako , Caleb Ogbeta

Minimax optimization problems have attracted a lot of attention over the past few years, with applications ranging from economics to machine learning. While advanced optimization methods exist for such problems, characterizing their…

机器学习 · 计算机科学 2024-02-21 Enea Monzio Compagnoni , Antonio Orvieto , Hans Kersting , Frank Norbert Proske , Aurelien Lucchi

Building 3D reconstruction from remote sensing images has a wide range of applications in smart cities, photogrammetry and other fields. Methods for automatic 3D urban building modeling typically employ multi-view images as input to…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Yongqiang Mao , Kaiqiang Chen , Liangjin Zhao , Wei Chen , Deke Tang , Wenjie Liu , Zhirui Wang , Wenhui Diao , Xian Sun , Kun Fu

Latent neural stochastic differential equations (SDEs) have recently emerged as a promising approach for learning generative models from stochastic time series data. However, they systematically underestimate the noise level inherent in…

机器学习 · 计算机科学 2025-06-11 Linus Heck , Maximilian Gelbrecht , Michael T. Schaub , Niklas Boers

The Latent Stochastic Differential Equation (SDE) is a powerful tool for time series and sequence modeling. However, training Latent SDEs typically relies on adjoint sensitivity methods, which depend on simulation and backpropagation…

机器学习 · 统计学 2025-06-27 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Stochastic differential equations (SDEs) are increasingly used in longitudinal data analysis, compartmental models, growth modelling, and other applications in a number of disciplines. Parameter estimation, however, currently requires…

统计方法学 · 统计学 2018-09-12 Oscar García

We demonstrate high fidelity enhancement of planetary digital elevation models (DEMs) using optical images and deep learning with convolutional neural networks. Enhancement can be applied recursively to the limit of available optical data,…

计算机视觉与模式识别 · 计算机科学 2021-01-14 Casey Handmer

Diffusion models have proven effective for various applications such as images, audio and graph generation. Other important applications are image super-resolution and the solution of inverse problems. More recently, some works have used…

计算机视觉与模式识别 · 计算机科学 2023-01-02 Marcelo dos Santos , Rayson Laroca , Rafael O. Ribeiro , João Neves , Hugo Proença , David Menotti

Overparameterized stochastic differential equation (SDE) models have achieved remarkable success in various complex environments, such as PDE-constrained optimization, stochastic control and reinforcement learning, financial engineering,…

最优化与控制 · 数学 2024-09-27 Shengbo Wang , Jose Blanchet , Peter Glynn
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