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Although there are many methods for functional data analysis (FDA), little emphasis is put on characterizing variability among volatilities of individual functions. In particular, certain individuals exhibit erratic swings in their…

Applications · Statistics 2012-12-04 Bin Zhu , David B. Dunson

The growing interest in energy applications of molten salts is justified by several of their properties. Their possibilities of usage as a coolant, heat transfer fluid or heat storage substrate, require thermo-hydrodynamic refined…

Chemical Physics · Physics 2013-11-12 Roberto Serrano-López , Jordi Fradera , Santiago Cuesta-López

Advances in climate science have rendered obsolete gridded observation data sets commonly used in macroecological analyses. Novel climate reanalysis products outperform legacy data products in accuracy, temporal resolution, and provision of…

Atmospheric and Oceanic Physics · Physics 2022-02-02 Erik Kusch , Richard Davy

We describe a newly developed hydrodynamic code for studying accretion disk processes. The numerical method uses a finite volume, nonlinear, Total Variation Diminishing (TVD) scheme to capture shocks and control spurious oscillations. It is…

Astrophysics · Physics 2008-12-18 L. R. Mudryk , N. W. Murray

Scientists and statisticians often want to learn about the complex relationships that connect two time-varying variables. Recent work on sparse functional historical linear models confirms that they are promising for this purpose, but…

Surface runoff shapes planetary landscapes, but global hydrological models often lack the resolution and flexibility to simulate dynamic surface water bodies beyond Earth. Recent studies of Mars have revealed abundant geological and…

Earth and Planetary Astrophysics · Physics 2026-03-05 Alexandre Gauvain , François Forget , Martin Turbet , Jean-Baptiste Clément , Lucas Lange , Romain Vandemeulebrouck

The North Atlantic Oscillation (NAO) index, a measure of sea-level atmospheric pressure variability, holds significant influence over weather patterns in North America and Northern Europe. A negative (positive) NAO value signifies increased…

Applications · Statistics 2024-12-12 Alka Yadav , Sourish Das , Anirban Chakraborti , Sudeep Shukla

We present a modification to our recently published SAFT-based classical density functional theory for water. We have recently developed and tested a functional for the averaged radial distribution function at contact of the hard-sphere…

Soft Condensed Matter · Physics 2015-06-17 Eric J. Krebs , Jeff B. Schulte , David Roundy

We propose a data-driven framework to simplify the description of spatiotemporal climate variability into few entities and their causal linkages. Given a high-dimensional climate field, the methodology first reduces its dimensionality into…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fabrizio Falasca , Pavel Perezhogin , Laure Zanna

In this dataset we provide a comprehensive collection of magnetograms (images quantifying the strength of the magnetic field) from the National Aeronautics and Space Administration's (NASA's) Solar Dynamics Observatory (SDO). The dataset…

Solar and Stellar Astrophysics · Physics 2024-02-13 Laura E. Boucheron , Ty Vincent , Jeremy A. Grajeda , Ellery Wuest

There is a lot of data about mean sea level variation from studies conducted around the globe. This data is dispersed, lacks organization along with standardization, and in most cases, it is not available online. In some instances, when it…

Computers and Society · Computer Science 2024-02-08 Mihir Odhavji , Maria Alexandra Oliveira , João Nuno Silva

Predicting nutrient transport and salinity distribution is crucial for mitigating climate-related threats to agromaritime systems. Traditional PDE-based models can capture the physics of nutrient dispersion, salinity and water quality.…

Numerical Analysis · Mathematics 2026-04-24 Muhammad Ilyas

The dynamics of probability density functions have been extensively studied in computational science and engineering to understand physical phenomena and facilitate algorithmic design. Of particular interest are dynamics formulated as…

Analysis of PDEs · Mathematics 2026-03-16 José A. Carrillo , Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Dongyi Wei

This paper describes opportunities and challenges of using functional data analysis (FDA) for the exploration and analysis of data originating from electronic commerce (eCommerce). We discuss the special data structures that arise in the…

Statistics Theory · Mathematics 2007-06-13 Wolfgang Jank , Galit Shmueli

The construction of valid and flexible cross-covariance functions is a fundamental task for modeling multivariate space-time data arising from climatological and oceanographical phenomena. Indeed, a suitable specification of the covariance…

Statistics Theory · Mathematics 2017-11-23 Alfredo Alegría , Emilio Porcu , Reinhard Furrer , Jorge Mateu

Fisher Discriminant Analysis (FDA) is a subspace learning method which minimizes and maximizes the intra- and inter-class scatters of data, respectively. Although, in FDA, all the pairs of classes are treated the same way, some classes are…

Machine Learning · Statistics 2020-07-01 Benyamin Ghojogh , Milad Sikaroudi , H. R. Tizhoosh , Fakhri Karray , Mark Crowley

High-quality data is a prerequisite for training reliable Artificial Intelligence (AI) models in the energy domain. In district heating networks, sensor and metering data often suffer from noise, missing values, and temporal…

Machine Learning · Computer Science 2025-10-02 Kristoffer Christensen , Bo Nørregaard Jørgensen , Zheng Grace Ma

Functional data analysis (FDA) is a part of modern multivariate statistics that analyses data providing information about curves, surfaces or anything else varying over a certain continuum. In economics and empirical finance we often have…

Methodology · Statistics 2019-10-25 Daniel Kosiorowski , Jerzy P. Rydlewski , Małgorzata Snarska

Climate science produces a wealth of complex, high-dimensional, multivariate data from observations and numerical models. These data are critical for understanding climate changes and their socioeconomic impacts. Climate scientists are…

Human-Computer Interaction · Computer Science 2024-08-01 Abdullah-Al-Raihan Nayeem , Dongyun Han , Huikyo Lee , Donghoon Kim , Daniel Feldman , William J. Tolone , Daniel Crichton , Isaac Cho

The notion of data depth has long been in use to obtain robust location and scale estimates in a multivariate setting. The depth of an observation is a measure of its centrality, with respect to a data set or a distribution. The data depths…

Methodology · Statistics 2009-09-29 Sara López-Pintado , Rebecka Jornsten
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