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Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian. Reversing this dynamic defines a generative model. When the forward noising process is given by a Stochastic Differential Equation (SDE),…

Machine Learning · Statistics 2023-04-06 Valentin De Bortoli , James Thornton , Jeremy Heng , Arnaud Doucet

In various data situations joint models are an efficient tool to analyze relationships between time dependent covariates and event times or to correct for event-dependent dropout occurring in regression analysis. Joint modeling connects a…

Methodology · Statistics 2018-10-25 Colin Griesbach , Andreas Mayr , Elisabeth Waldmann

Recently, Hyperspectral Image (HSI) classification has attracted increasing attention in remote sensing. However, HSI data are inherently high-dimensional but low-rank, with discriminative information concentrated on a low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Boxiang Yang , Ning Chen , Xia Yue , Yichang Luo , Yingbo Fan , Haoyuan Zhang , Haoyu Ma , Jun Yue , Shanjun Mao

Understanding how environmental and operational conditions influence vessel speed is crucial for characterizing navigational conditions in the Arctic. We analyzed Automatic Identification System (AIS) data from 2010-2019 to examine vessel…

Signal Processing · Electrical Eng. & Systems 2026-05-18 Mauli Pant , Linda Fernandez , Indranil Sahoo

Machine learning has made tremendous progress in recent years, with models matching or even surpassing humans on a series of specialized tasks. One key element behind the progress of machine learning in recent years has been the ability to…

Machine Learning · Computer Science 2020-06-30 Giorgi Nadiradze , Ilia Markov , Bapi Chatterjee , Vyacheslav Kungurtsev , Dan Alistarh

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

Evaluating uncertainty is critical for reliable use of Mobile Laser Scanning (MLS) point clouds in many high-precision applications such as Scan-to-BIM, deformation analysis, and 3D modeling. However, obtaining the ground truth (GT) for…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Ziyang Xu , Olaf Wysocki , Christoph Holst

Stochastic gradient descent (SGD) is a powerful optimization technique that is particularly useful in online learning scenarios. Its convergence analysis is relatively well understood under the assumption that the data samples are…

Machine Learning · Computer Science 2024-10-03 Ethan Che , Jing Dong , Xin T. Tong

The spatial modeling of extreme snow is important for adequate risk management in Alpine and high altitude countries. A natural approach to such modeling is through the theory of max-stable processes, an infinite-dimensional extension of…

Applications · Statistics 2011-12-01 Juliette Blanchet , Anthony C. Davison

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

Semi-Supervised Instance Segmentation (SSIS) aims to leverage an amount of unlabeled data during training. Previous frameworks primarily utilized the RGB information of unlabeled images to generate pseudo-labels. However, such a mechanism…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Xin Chen , Jie Hu , Xiawu Zheng , Jianghang Lin , Liujuan Cao , Rongrong Ji

Spatial intelligence is essential for multimodal large language models, yet current benchmarks largely assess it only from an understanding perspective. We ask whether modern generative or unified multimodal models also possess generative…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Muzhi Zhu , Shunyao Jiang , Huanyi Zheng , Zekai Luo , Hao Zhong , Anzhou Li , Kaijun Wang , Jintao Rong , Yang Liu , Hao Chen , Tao Lin , Chunhua Shen

The Boltzmann-Shannon Index (BSI) for clustered continuous data is introduced as a normalized measure that captures the relationship between geometry-based and frequency-based probability distributions defined over the clusters. In essence,…

Information Theory · Computer Science 2025-12-18 Emanuele Bossi , C. Tyler Diggans , Abd AlRahman R. AlMomani

Super-resolving the coarse outputs of global climate simulations, termed downscaling, is crucial in making political and social decisions on systems requiring long-term climate change projections. Existing fast super-resolution techniques,…

Atmospheric and Oceanic Physics · Physics 2023-04-18 Norihiro Oyama , Noriko N. Ishizaki , Satoshi Koide , Hiroaki Yoshida

The existence of hybrid noise in hyperspectral images (HSIs) severely degrades the data quality, reduces the interpretation accuracy of HSIs, and restricts the subsequent HSIs applications. In this paper, the spatial-spectral gradient…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Qiang Zhang , Qiangqiang Yuan , Jie Li , Xinxin Liu , Huanfeng Shen , Liangpei Zhang

Recent advances in the literature have demonstrated that standard supervised learning algorithms are ill-suited for problems with endogenous explanatory variables. To correct for the endogeneity bias, many variants of nonparameteric…

Econometrics · Economics 2021-01-18 Edvard Bakhitov , Amandeep Singh

Spatio-temporal time series are widely used in real-world applications, including traffic prediction and weather forecasting. They are sequences of observations over extensive periods and multiple locations, naturally represented as…

Machine Learning · Computer Science 2026-03-12 Taehyung Kwon , Yeonje Choi , Yeongho Kim , Kijung Shin

Gridded data products, for example interpolated daily measurements of precipitation from weather stations, are commonly used as a convenient substitute for direct observations because these products provide a spatially and temporally…

Deep neural networks (DNNs) have become a key part of many modern software applications. After training and validating, the DNN is deployed as an irrevocable component and applied in real-world scenarios. Although most DNNs are built…

Machine Learning · Computer Science 2021-03-31 JingWei Xu , Siyuan Zhu , Zenan Li , Chang Xu

Distributed stochastic optimization intertwines (i) stochastic gradient noise, (ii) communication compression, and (iii) adaptive/normalized updates. While each factor has been studied in isolation, their joint effect under realistic…