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The paper contains several theoretical results related to the weighted nonlinear least-squares problem for low-rank signal estimation, which can be considered as a Hankel structured low-rank approximation problem. A parameterization of the…

Numerical Analysis · Mathematics 2022-07-29 Nikita Zvonarev , Nina Golyandina

Because of the limitations of matrix factorization, such as losing spatial structure information, the concept of low-rank tensor factorization (LRTF) has been applied for the recovery of a low dimensional subspace from high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Xi'ai Chen , Zhi Han , Yao Wang , Qian Zhao , Deyu Meng , Lin Lin , Yandong Tang

The Gromov-Wasserstein (GW) problem provides a powerful framework for aligning heterogeneous datasets by matching their internal structures in a way that minimizes distortion. However, GW alignment is sensitive to data contamination by…

Statistics Theory · Mathematics 2025-06-27 Xiaoyun Gong , Sloan Nietert , Ziv Goldfeld

Air pollution is a major driver of climate change. Anthropogenic emissions from the burning of fossil fuels for transportation and power generation emit large amounts of problematic air pollutants, including Greenhouse Gases (GHGs). Despite…

Machine Learning · Computer Science 2021-09-01 Linus Scheibenreif , Michael Mommert , Damian Borth

Capillary wireless sensor networks devoted to air quality monitoring have provided vital information on dangerous air conditions. In adopting the environmentally generated energy as the fundamental energy source the main challenge is the…

Signal Processing · Electrical Eng. & Systems 2018-02-19 Usman Asghar , Farid Touati , Damiano Crescini , Alessio Galli , Adel Ben Mnaouer

The rise of accurate machine learning methods for weather forecasting is creating radical new possibilities for modeling the atmosphere. In the time of climate change, having access to high-resolution forecasts from models like these is…

Machine Learning · Computer Science 2023-11-16 Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

It's a practical approach using the ground-aerial collaborative system to enhance the localization robustness of flying robots in cluttered environments, especially when visual sensors degrade. Conventional approaches estimate the flying…

Robotics · Computer Science 2025-12-19 Sijia Chen , Wei Dong

When signals are measured through physical sensors, they are perturbed by noise. To reduce noise, low-pass filters are commonly employed in order to attenuate high frequency components in the incoming signal, regardless if they come from…

Signal Processing · Electrical Eng. & Systems 2021-11-08 Alejandro J. Ordóñez-Conejo , Armin Lederer , Sandra Hirche

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

Air quality monitoring requires to produce accurate estimation of nitrogen dioxide or fine particulate matter concentration maps, at different moments. A typical strategy is to combine different types of data. On the one hand, concentration…

Applications · Statistics 2025-02-13 Benjamin Auder , Camille Coron , Jean-Michel Poggi , Emma Thulliez

Expensive ultrasonic anemometers are usually required to measure wind speed accurately. The aim of this work is to overcome the loss of accuracy of a low cost hot-wire anemometer caused by the changes of air temperature, by means of a…

In energy system analysis, coupling models with mismatched spatial resolutions is a significant challenge. A common solution is assigning weights to high-resolution geographic units for aggregation, but traditional models are limited by…

Machine Learning · Computer Science 2026-03-20 Xuanhao Mu , Jakob Geiges , Nan Liu , Thorsten Schlachter , Veit Hagenmeyer

The Fr\'echet regression is a useful method for modeling random objects in a general metric space given Euclidean covariates. However, the conventional approach could be sensitive to outlying objects in the sense that the distance from the…

Computation · Statistics 2026-01-21 Hao Li , Shonosuke Sugasawa , Shota Katayama

Efficient air quality sensing serves as one of the essential services provided in any recent smart city. Mostly facilitated by sparsely deployed Air Quality Monitoring Stations (AQMSs) that are difficult to install and maintain, the overall…

Two-sample testing is a fundamental problem in statistics. Despite its long history, there has been renewed interest in this problem with the advent of high-dimensional and complex data. Specifically, in the machine learning literature,…

Methodology · Statistics 2019-11-19 Ilmun Kim , Ann B. Lee , Jing Lei

Model averaging methods have become an increasingly popular tool for improving predictions and dealing with model uncertainty, especially in Bayesian settings. Recently, frequentist model averaging methods such as information theoretic and…

Econometrics · Economics 2024-04-18 Kevin Huynh

Cost functions such as mean square error are often used in environmental model calibration. These treat observations as independent and equally important even though model residuals exhibit spatial dependence and additional observations…

Methodology · Statistics 2025-02-25 Michele Nguyen , Maricar Rabonza , David Lallemant

To augment training data for machine learning models in Ground Penetrating Radar (GPR) data classification and identification, this thesis focuses on the generation of realistic GPR data using Generative Adversarial Networks. An innovative…

Image and Video Processing · Electrical Eng. & Systems 2019-06-05 William Rice

The analysis of physical measurements often copes with highly correlated noises and interruptions caused by outliers, saturation events or transmission losses. We assess the impact of missing data on the performance of linear regression…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Q. Baghi , G. Métris , J. Bergé , B. Christophe , P. Touboul , M. Rodrigues

While AI-based numerical weather prediction (NWP) enables rapid forecasting, generating high-resolution outputs remains computationally demanding due to limited multi-scale adaptability and inefficient data representations. We propose the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Tao Han , Zhibin Wen , Zhenghao Chen , Fenghua Lin , Junyu Gao , Song Guo , Lei Bai
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