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Related papers: CircSiZer: an exploratory tool for circular data

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Smoothing methods and SiZer are a useful statistical tool for discovering statistically significant structure in data. Based on scale space ideas originally developed in the computer vision literature, SiZer (SIgnificant ZERo crossing of…

Methodology · Statistics 2011-11-10 Vitaliana Rondonotti , J. S. Marron , Cheolwoo Park

The study of environmental problems usually requires the description of variables with different nature and the assessment of relations between them. In this work, an algorithm for flexible estimation of the joint density for a…

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Taking projections of high-dimensional data is a common analytical and visualisation technique in statistics for working with high-dimensional problems. Sectioning, or slicing, through high dimensions is less common, but can be useful for…

Computation · Statistics 2021-03-17 Ursula Laa , Dianne Cook , German Valencia

Time series clustering is an essential machine learning task with applications in many disciplines. While the majority of the methods focus on time series taking values on the real line, very few works consider time series defined on the…

Applications · Statistics 2024-02-15 Ángel López-Oriona , Ying Sun , Rosa M. Crujeiras

We present a novel heuristic approach that defines fuzzy geographical descriptors using data gathered from a survey with human subjects. The participants were asked to provide graphical interpretations of the descriptors `north' and `south'…

Artificial Intelligence · Computer Science 2017-03-31 Alejandro Ramos-Soto , Jose M. Alonso , Ehud Reiter , Kees van Deemter , Albert Gatt

Smoothing methods find signals in noisy data. A challenge for Statistical inference is the choice of smoothing parameter. SiZer addressed this challenge in one-dimension by detecting significant slopes across multiple scales, but was not a…

Statistics Theory · Mathematics 2025-11-03 Rui Liu , Jan Hannig , J. S. Marron

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

Dynamical Systems · Mathematics 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

In oceanography, modeling wave fields requires the use of statistical tools capable of handling the circular nature of the {data measurements}. An important issue in ocean wave analysis is the study of height and direction waves, being…

Methodology · Statistics 2024-02-01 Andrea Meilán-Vila , Rosa M. Crujeiras , Mario Francisco-Fernández

We aim at finding the value of an explanatory variable, through its expression in a large data-vector, without knowing the link function between the explanatory variable and the data-space. Sliced Inverse Regression (SIR) method allows for…

Instrumentation and Methods for Astrophysics · Physics 2017-07-03 V. Watson , JF. Trouilhet , F. Paletou , M. Gebran

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Describing a time series parsimoniously is the first step to study the underlying dynamics. For a time-discrete system, a generating partition provides a compact description such that a time series and a symbolic sequence are one-to-one.…

Data Analysis, Statistics and Probability · Physics 2018-01-09 Yoshito Hirata , Thomas Stemler , Deniz Eroglu , Norbert Marwan

In my thesis I present a study of the dynamics and observational characteristics of massive circumstellar disks in two dimensions ($r$, $\phi$) using two complimentary hydrodynamic codes: a `Smoothed Particle Hydrodynamic' (SPH) code and a…

Astrophysics · Physics 2007-05-23 Andrew F. Nelson

This paper describes a statistical method for short-term forecasting of surface layer wind velocity amplitude relying on the notion of continuous cascades. Inspired by recent empirical findings that suggest the existence of some cascading…

Atmospheric and Oceanic Physics · Physics 2010-04-20 Rachel Baile , Jean-Francois Muzy , Philippe Poggi

CircSpaceTime is the only R package currently available that implements Bayesian models for spatial and spatio-temporal interpolation of circular data. Such data are often found in applications where, among the many, wind directions, animal…

Applications · Statistics 2020-01-03 Giovanna Jona Lasinio , Mario Santoro , Gianluca Mastrantonio

Huge data advent in high-performance computing (HPC) applications such as fluid flow simulations usually hinders the interactive processing and exploration of simulation results. Such an interactive data exploration not only allows…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Nevena Perović , Jérôme Frisch , Ralf-Peter Mundani , Ernst Rank

Real-time high-resolution wind predictions are beneficial for various applications including safe manned and unmanned aviation. Current weather models require too much compute and lack the necessary predictive capabilities as they are valid…

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

Synchrosqueezed transforms are non-linear processes for a sharpened time-frequency representation of wave-like components. They are efficient tools for identifying and analyzing wave-like components from their superposition. This paper is…

Statistics Theory · Mathematics 2016-08-10 Haizhao Yang

Partitioning ocean flows into regions dynamically distinct from their surroundings based on material transport can assist search-and-rescue planning by reducing the search domain. The spectral clustering method partitions the domain by…

Atmospheric and Oceanic Physics · Physics 2020-08-28 Guilherme S. Vieira , Irina I. Rypina , Michael R. Allshouse
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