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We introduce an algorithm to estimate the redshift distribution of a sample of galaxies selected photometrically given a subsample with measured spectroscopic redshifts. The approach uses a non-parametric Voronoi tessellation density…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-10 Benjamin R. Granett

Purpose: The purpose of this work is to investigate the hypothesis that uniform sampling measurements that are endowed with antipodal symmetry play an important role when the raw data and image data are related through the Fourier…

Medical Physics · Physics 2014-01-15 Cheng Guan Koay

High energy experimental data can be viewed as a sampling of the relevant phase space. We point out that one can apply Voronoi tessellations in order to understand the underlying probability distributions in this phase space. Interesting…

High Energy Physics - Phenomenology · Physics 2015-11-10 Dipsikha Debnath , James S. Gainer , Doojin Kim , Konstantin T. Matchev

Accurate precipitation estimation is critical for hydrological applications, especially in the Global South where ground-based observation networks are sparse and forecasting skill is limited. Existing satellite-based precipitation products…

Collecting time series data spatially distributed in many locations is often important for analyzing climate change and its impacts on ecosystems. However, comprehensive spatial data collection is not always feasible, requiring us to…

Machine Learning · Computer Science 2024-06-06 Shihori Koyama , Daisuke Inoue , Hiroaki Yoshida , Kazuyuki Aihara , Gouhei Tanaka

Climate change is intensifying rainfall extremes, making high-resolution precipitation projections crucial for society to better prepare for impacts such as flooding. However, current Global Climate Models (GCMs) operate at spatial…

Machine Learning · Computer Science 2024-12-20 Ran Lyu , Linhan Wang , Yanshen Sun , Hedanqiu Bai , Chang-Tien Lu

Accurate precipitation estimates at individual locations are crucial for weather forecasting and spatial analysis. This study presents a paradigm shift by leveraging Deep Neural Networks (DNNs) to surpass traditional methods like Kriging…

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee

Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for constructing the distribution of annual precipitation. The…

Atmospheric and Oceanic Physics · Physics 2024-05-24 Yosef Ashkenazy , Naftali R. Smith

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

This study proposes an innovative approach to analyze spatial patterns of behavior by integrating information in weighted Voronoi diagrams. The objective of the research is to analyze the temporal distribution of an experimental subject in…

We tackle the problem of estimating the spatial distribution of mobile phones from Mobile Network Operator (MNO) data, namely Call Detail Record (CDR) or signalling data. The process of transforming MNO data to a density map requires…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Fabio Ricciato , Angelo Coluccia

This study aims to improve the accuracy of weather predictions by discovering spatial correlations between Earth observations and atmospheric states. Existing numerical weather prediction (NWP) systems predict future atmospheric states at…

Machine Learning · Computer Science 2025-11-11 Hyeon-Ju Jeon , Jeon-Ho Kang , In-Hyuk Kwon , O-Joun Lee

The survey volume of a proper motion-limited sample is typically much smaller than a magnitude-limited sample. This is because of the noisy astrometric measurements from detectors that are not dedicated for astrometric missions. In order to…

Instrumentation and Methods for Astrophysics · Physics 2017-05-01 Marco C. Lam

We propose the use of a stochastic variational frame prediction deep neural network with a learned prior distribution trained on two-dimensional rain radar reflectivity maps for precipitation nowcasting with lead times of up to 2 1/2 hours.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Alexander Bihlo

Recently, Transformer-based architectures have advanced meteorological prediction. However, this position-centric tokenizer conflicts with the core principle of meteorological systems, where the weather phenomena undoubtedly involve…

Artificial Intelligence · Computer Science 2026-03-17 Qizhao Jin , Xianhuang Xu , Yong Cao , Shiming Xiang , Xinyu Xiao

Verification of global high-resolution precipitation forecasts is challenging. Spatial verification techniques address some shortcomings of traditional verification. However most existing methods do not account for the non-planar geometry…

Atmospheric and Oceanic Physics · Physics 2025-05-28 Gregor Skok , Llorenç Lledó

The heavy-tailed nature of precipitation intensity impedes precise precipitation nowcasting. Standard models that optimize pixel-wise losses are prone to regression-to-the-mean bias, which blurs extreme values. Existing Fourier-based…

Atmospheric and Oceanic Physics · Physics 2026-02-03 Baitian Liu , Haiping Zhang , Huiling Yuan , Dongjing Wang , Ying Li , Feng Chen , Hao Wu

Owing to the natural interpretation and various desirable mathematical properties, centroidal Voronoi tessellations (CVT) have found a wide range of applications and correspondingly a vast development in their literature. However the…

Computational Geometry · Computer Science 2022-03-30 Bhagyashri Telsang , Seddik Djouadi

Swarm robotics, or very large-scale robotics (VLSR), has many meaningful applications for complicated tasks. However, the complexity of motion control and energy costs stack up quickly as the number of robots increases. In addressing this…

Robotics · Computer Science 2024-10-04 James Gao , Jacob Lee , Yuting Zhou , Yunze Hu , Chang Liu , Pingping Zhu