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With appropriately chosen sampling probabilities, sampling-based random projection can be used to implement large-scale statistical methods, substantially reducing computational cost while maintaining low statistical error. However,…

Machine Learning · Statistics 2026-01-13 Yifan Chen , Yun Yang

This paper presents an innovative extension of spatial autoregressive (SAR) models, introducing spatial coefficients specific to each spatial region that evolve over time. The proposed estimation methodology covers both homoscedastic and…

Methodology · Statistics 2025-02-24 N. A. Cruz , D. A. Romero , O. O. Melo

Existing fine-tuning methods either tune all parameters of the pre-trained model (full fine-tuning), which is not efficient, or only tune the last linear layer (linear probing), which suffers a significant accuracy drop compared to the full…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Dongze Lian , Daquan Zhou , Jiashi Feng , Xinchao Wang

Spatially varying coefficients (SVC) models allow for marginal effects to be non-stationary over space and thus offer a higher degree of flexibility with respect to standard geostatistical models with external drift. At the same time, SVC…

Methodology · Statistics 2025-11-27 Yacine Mohamed Idir , Thomas Romary

Supervised statistical classification is a vital tool for satellite image processing. It is useful not only when a discrete result, such as feature extraction or surface type, is required, but also for continuum retrievals by dividing the…

Atmospheric and Oceanic Physics · Physics 2016-02-05 Peter Mills

In frequency domain analysis for spatial data, spectral averages based on the periodogram often play an important role in understanding spatial covariance structure, but also have complicated sampling distributions due to complex variances…

Statistics Theory · Mathematics 2025-04-29 Souvick Bera , Daniel J. Nordman , Soutir Bandyopadhyay

Frame-level visual features are generally aggregated in time with the techniques such as LSTM, Fisher Vectors, NetVLAD etc. to produce a robust video-level representation. We here introduce a learnable aggregation technique whose primary…

Computer Vision and Pattern Recognition · Computer Science 2017-08-25 Savas Ozkan , Gozde Bozdagi Akar

Disaggregation modelling, or downscaling, has become an important discipline in epidemiology. Surveillance data, aggregated over large regions, is becoming more common, leading to an increasing demand for modelling frameworks that can deal…

Computation · Statistics 2020-01-15 Anita K. Nandi , Tim C. D. Lucas , Rohan Arambepola , Peter Gething , Daniel J. Weiss

This paper presents a new method for spatially adaptive local (constant) likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of the method…

Statistics Theory · Mathematics 2007-12-18 Denis Belomestny , Vladimir Spokoiny

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include…

Methodology · Statistics 2014-05-12 Aaron T. Porter , Scott H. Holan , Christopher K. Wikle , Noel Cressie

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

Effective clutter filtering is crucial in suppressing tissue clutter and extracting blood flow signal in Doppler ultrasound. Recent advances in eigen-based clutter filtering techniques have enabled ultrasound imaging of microvasculature…

Medical Physics · Physics 2024-05-21 Chengwu Huang , U-Wai Lok , Jingke Zhang , Hui Liu , Shigao Chen

Image retrieval is crucial in robotics and computer vision, with downstream applications in robot place recognition and vision-based product recommendations. Modern retrieval systems face two key challenges: scalability and efficiency.…

Information Retrieval · Computer Science 2025-04-03 Mohammad Omama , Po-han Li , Sandeep P. Chinchali

Small area estimation (SAE) plays a central role in survey statistics and epidemiology, providing reliable estimates for domains with limited sample sizes. The multivariate Fay-Herriot model has been extensively used for this purpose,…

Methodology · Statistics 2026-01-22 Shushi Nishina , Takahiro Onizuka , Shintaro Hashimoto

Binary regression models are commonly used in disciplines such as epidemiology and ecology to determine how spatial covariates influence individuals. In many studies, binary data are shared in a spatially aggregated form to protect privacy.…

High spatial frequency information, including fine details like textures, significantly contributes to the accuracy of semantic segmentation. However, according to the Nyquist-Shannon Sampling Theorem, high-frequency components are…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Linwei Chen , Ying Fu , Lin Gu , Dezhi Zheng , Jifeng Dai

In this paper, we consider local multiscale model reduction for problems with multiple scales in space and time. We developed our approaches within the framework of the Generalized Multiscale Finite Element Method (GMsFEM) using space-time…

Numerical Analysis · Mathematics 2016-05-26 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Shuai Ye

The statistical behavior of the eigenvalues of the sample covariance matrix (SCM) plays a key role in determining the performance of adaptive beamformers (ABF) in presence of noise. This paper presents a method to compute the approximate…

Systems and Control · Computer Science 2018-08-06 Saurav R. Tuladhar , John R. Buck

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

Machine Learning · Statistics 2015-03-19 Song Song
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