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Latest diffusion-based methods for many image restoration tasks outperform traditional models, but they encounter the long-time inference problem. To tackle it, this paper proposes a Wavelet-Based Diffusion Model (WaveDM). WaveDM learns the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Yi Huang , Jiancheng Huang , Jianzhuang Liu , Mingfu Yan , Yu Dong , Jiaxi Lv , Chaoqi Chen , Shifeng Chen

This paper develops a threshold model with a time-varying threshold, represented using a wavelet series expansion. The model adequately captures irregular and abrupt variations, as well as smooth changes in the threshold parameter, allowing…

Methodology · Statistics 2026-05-19 Rhea Davis , N. Balakrishna

Mesoscale structures can often be described as fractional dimensional across a wide range of scales. We consider a $\gamma$ dimensional measure embedded in an $N$ dimensional space and discuss how to determine its dimension, both in $N$…

High Energy Astrophysical Phenomena · Physics 2025-12-09 Svitlana Mayboroda , David N Spergel

Survey instruments and assessments are frequently used in many domains of social science. When the constructs that these assessments try to measure become multifaceted, multidimensional item response theory (MIRT) provides a unified…

Methodology · Statistics 2025-01-08 Chenchen Ma , Jing Ouyang , Chun Wang , Gongjun Xu

Accurate wetland mapping is essential for ecosystem monitoring, yet dense pixel-level annotation is prohibitively expensive and practical applications usually rely on sparse point labels, under which existing deep learning models perform…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Shuai Yuan , Tianwu Lin , Shuang Chen , Yu Xia , Peng Qin , Xiangyu Liu , Xiaoqing Xu , Nan Xu , Hongsheng Zhang , Jie Wang , Peng Gong

We provide a space domain oriented separation of magnetic fields into parts generated by sources in the exterior and sources in the interior of a given sphere. The separation itself is well-known in geomagnetic modeling, usually in terms of…

Numerical Analysis · Mathematics 2015-06-04 Christian Gerhards

This paper introduces a task-specific, model-agnostic framework for evaluating dataset similarity, providing a means to assess and compare dataset realism and quality. Such a framework is crucial for augmenting real-world data, improving…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Joao Morais , Sadjad Alikhani , Akshay Malhotra , Shahab Hamidi-Rad , Ahmed Alkhateeb

Climate models play a crucial role in understanding the effect of environmental and man-made changes on climate to help mitigate climate risks and inform governmental decisions. Large global climate models such as the Community Earth System…

Applications · Statistics 2020-12-02 Niccolò Dalmasso , Galen Vincent , Dorit Hammerling , Ann B. Lee

Accurate, efficient prediction of wind flow with wake effects is crucial for wind-farm layout and power forecasting. Existing approaches-physical measurements, numerical simulations, physics-based models, and data-driven models-face…

Fluid Dynamics · Physics 2025-09-26 Dong Xu , Zhaobin Li , Xiaolei Yang , Peng Hou , Bruno Carmo , Xuerui Mao

This article combines wavelet analysis techniques with machine learning methods for univariate time series forecasting, focusing on three main contributions. Firstly, we consider the use of Daubechies wavelets with different numbers of…

Methodology · Statistics 2024-03-14 Guy P Nason , James L. Wei

A comprehensive statistical model for vertical profiles of the horizontal wind and temperature throughout the troposphere is presented. The model is based on radiosonde measurements of wind and temperature during several years. The profiles…

Atmospheric and Oceanic Physics · Physics 2010-12-21 A. Virtser , Yu. Shtemler , E. Golbraikh

Global climate models (GCMs), typically run at ~100-km resolution, capture large-scale environmental conditions but cannot resolve convection and cloud processes at kilometer scales. Convection-permitting models offer higher-resolution…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Hungjui Yu , Lander Ver Hoef , Kristen L. Rasmussen , Imme Ebert-Uphoff

One of the main challenges in simultaneous localization and mapping (SLAM) is real-time processing. High-computational loads linked to data acquisition and processing complicate this task. This article presents an efficient feature…

We propose an unsupervised image fusion architecture for multiple application scenarios based on the combination of multi-scale discrete wavelet transform through regional energy and deep learning. To our best knowledge, this is the first…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Shaolei Liu , Manning Wang , Zhijian Song

Classical multiscale analysis based on wavelets has a number of successful applications, e.g. in data compression, fast algorithms, and noise removal. Wavelets, however, are adapted to point singularities, and many phenomena in several…

Statistics Theory · Mathematics 2007-06-13 David L. Donoho

Human migration exhibits complex spatiotemporal dependence driven by environmental and socioeconomic forces. Modeling such patterns at scale requires methods that accommodate many random effects while remaining feasible when raw data or…

Methodology · Statistics 2026-05-29 Lida Chalangar Jalili Dehkharghani , Li-Hsiang Lin

In this paper, we develop new fast and efficient algorithms for designing single/multiple unimodular waveforms/codes with good auto- and cross-correlation or weighted correlation properties, which are highly desired in radar and…

Information Theory · Computer Science 2018-02-08 Yongzhe Li , Sergiy A. Vorobyov

Both pixel-based scale saliency (PSS) and basis project methods focus on multiscale analysis of data content and structure. Their theoretical relations and practical combination are previously discussed. However, no models have ever been…

Computer Vision and Pattern Recognition · Computer Science 2013-01-15 Anh Cat Le Ngo , Kenneth Li-Minn Ang , Jasmine Kah-Phooi Seng , Guoping Qiu

We are concerned with high-fidelity subsurface imaging of the soil, which commonly arises in geotechnical site characterization and geophysical explorations. Specifically, we attempt to image the spatial distribution of the Lame parameters…

Numerical Analysis · Mathematics 2015-10-28 Arash Fathi , Loukas F. Kallivokas , Babak Poursartip

This paper introduces an expectation-maximization (EM) algorithm within a wavelet domain Bayesian framework for semi-blind channel estimation of multiband OFDM based UWB communications. A prior distribution is chosen for the wavelet…

Networking and Internet Architecture · Computer Science 2007-08-13 Sajad Sadough , Mahieddine Ichir , Emmanuel Jaffrot , Pierre Duhamel
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