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The numerical prediction of droplet base radius and contact angle depends on the choice of characteristic radius and height of droplet. In this study, a developed model on the basis of lubrication approximation is used to investigate the…

Fluid Dynamics · Physics 2017-08-01 Debanik Bhattacharjee , Hadi Nazaripoor , Mohtada Sadrzadeh

This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off planar faces which have to be parameterised individually. Hereby,…

Numerical Analysis · Mathematics 2024-09-02 Jochen Hinz

We consider the morphology of two dimensional cracks observed in experimental results obtained from paper samples and compare these results with the numerical simulations of the random fuse model (RFM). We demonstrate that the data obey…

Disordered Systems and Neural Networks · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Dominant features of spatial data are connected structures or patterns that emerge from location-based variation and manifest at specific scales or resolutions. To identify dominant features, we propose a sequential application of…

Methodology · Statistics 2020-12-17 Roman Flury , Florian Gerber , Bernhard Schmid , Reinhard Furrer

Surface normal estimation from a single image is an important task in 3D scene understanding. In this paper, we address two limitations shared by the existing methods: the inability to estimate the aleatoric uncertainty and lack of detail…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Gwangbin Bae , Ignas Budvytis , Roberto Cipolla

In this paper, we propose a general graph optimization based framework for localization, which can accommodate different types of measurements with varying measurement time intervals. Special emphasis will be on range-based localization.…

Robotics · Computer Science 2020-01-27 Xu Fang , Chen Wang , Thien-Minh Nguyen , Lihua Xie

The structural analysis of shape boundaries leads to the characterization of objects as well as to the understanding of shape properties. The literature on graphs and networks have contributed to the structural characterization of shapes…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Gisele H. B. Miranda , Jeaneth Machicao , Odemir M. Bruno

Shape is an important physical property of natural and manmade 3D objects that characterizes their external appearances. Understanding differences between shapes and modeling the variability within and across shape classes, hereinafter…

Graphics · Computer Science 2018-12-27 Hamid Laga

This paper studies and critically discusses the construction of nonparametric confidence regions for density level sets. Methodologies based on both vertical variation and horizontal variation are considered. The investigations provide…

Statistics Theory · Mathematics 2019-03-05 Wanli Qiao , Wolfgang Polonik

Crystal structure prediction (CSP) is now increasingly used in the discovery of novel materials with applications in diverse industries. However, despite decades of developments, the problem is far from being solved. With the progress of…

Materials Science · Physics 2023-07-13 Lai Wei , Qin Li , Sadman Sadeed Omee , Jianjun Hu

The alignment of shapes has been a crucial step in statistical shape analysis, for example, in calculating mean shape, detecting locational differences between two shape populations, and classification. Procrustes alignment is the most…

Methodology · Statistics 2025-01-06 Mohsen Taheri , Jörn Schulz

Visual localization under large changes in scale is an important capability in many robotic mapping applications, such as localizing at low altitudes in maps built at high altitudes, or performing loop closure over long distances. Existing…

Robotics · Computer Science 2018-05-28 Andrew Holliday , Gregory Dudek

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

Machine Learning · Statistics 2024-03-05 Christoph Jansen , Georg Schollmeyer , Hannah Blocher , Julian Rodemann , Thomas Augustin

Sparse models for high-dimensional linear regression and machine learning have received substantial attention over the past two decades. Model selection, or determining which features or covariates are the best explanatory variables, is…

Machine Learning · Statistics 2019-10-15 Yuan Li , Benjamin Mark , Garvesh Raskutti , Rebecca Willett , Hyebin Song , David Neiman

We propose a scalable, provably accurate method for localizing an unknown number of multiple axis-aligned anomalous patches in spatial data under a general class of spatial dependence. Motivated by the practical need to detect localized…

Methodology · Statistics 2026-03-31 Soham Bonnerjee , Sayar Karmakar , George Michailidis

Geographical phenomena fall into two categories: scaleful phenomena and scale-free phenomena. The former bears characteristic scales, and the latter has no characteristic scale. The conventional quantitative and mathematical methods can…

Physics and Society · Physics 2023-08-09 Yanguang Chen

Surface roughness is a key factor when it comes to friction and wear, as well as to other physical properties. These phenomena are controlled by mechanisms acting at small scales, in which the topography of apparently-flat surfaces is…

Materials Science · Physics 2024-11-05 Joaquin Garcia-Suarez , Tobias Brink , Jean-François Molinari

Scale variation is one of the most challenging problems in face detection. Modern face detectors employ feature pyramids to deal with scale variation. However, it might break the feature consistency across different scales of faces. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Leilei Cao , Yao Xiao , Lin Xu

The purpose of the present work is to examine two possibilities; firstly, predicting equivalent sand-grain roughness size $k_s$ based on the roughness height probability density function and power spectrum leveraging machine learning as a…

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

Econometrics · Economics 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang