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This chapter of the forthcoming Handbook of Graphical Models contains an overview of basic theorems and techniques from algebraic geometry and how they can be applied to the study of conditional independence and graphical models. It also…

Statistics Theory · Mathematics 2017-05-23 Thomas Kahle , Johannes Rauh , Seth Sullivant

Studying structural properties of linear dynamical systems through invariant subspaces is one of the key contributions of the geometric approach to system theory. In general, a model of the dynamics is required in order to compute the…

Systems and Control · Electrical Eng. & Systems 2022-01-12 Federico Celi , Fabio Pasqualetti

Geophysical models of the atmosphere and ocean invariably involve parameterizations. These represent two distinct areas: Subgrid processes that the model cannot resolve, and diabatic sources in the equations, due to radiation for example.…

Information technologies for studying physical-mathematical disciplines on base of mathematical modeling in the computer algebra system Maple are described.

Physics Education · Physics 2014-10-17 Yurii Ignat'ev , Alsu Samigullina

The formation and development of the human person is most influenced by the environment in which it lives, studies, works. Therefore, the problem of the creation of such a high-tech information and communication educational and scientific…

History and Overview · Mathematics 2018-09-11 Kateryna Slovak , Serhiy Semerikov , Yu. V. Tryus

Google Earth (GE) has become a powerful tool for geological modeling and visualization. An interesting and useful feature of GE, Google Street View, can allow the GE users to view geological structure such as layers of rock masses at a…

Graphics · Computer Science 2013-09-11 Gang Mei , John C. Tipper , Nengxiong Xu

The concept of viewing graph solvability has gained significant interest in the context of structure-from-motion. A viewing graph is a mathematical structure where nodes are associated to cameras and edges represent the epipolar geometry…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Federica Arrigoni , Kathlén Kohn , Andrea Fusiello , Tomas Pajdla

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

The geological surveying presently uses methods and tools for the computer modeling of 3D-structures of the geographical subsurface and geotechnical characterization as well as the application of geoinformation systems for management and…

Computational Engineering, Finance, and Science · Computer Science 2011-03-28 B. G. Kodge , P. S. Hiremath

Computational models pervade all branches of the exact sciences and have in recent times also started to prove to be of immense utility in some of the traditionally 'soft' sciences like ecology, sociology and politics. This volume is a…

The study of evolution of networks has received increased interest with the recent discovery that many real-world networks possess many things in common, in particular the manner of evolution of such networks. By adding a dimension of time…

Combinatorics · Mathematics 2010-06-24 Anurat Chapanond , Mukkai S. Krishnamoorthy , G. M. Prabhu , J. Punin

A freely available educational application (a mobile website) is presented. This provides access to educational material and drilling on selected topics within mathematics and statistics with an emphasis on tablets and mobile phones. The…

Other Statistics · Statistics 2014-12-10 Jamie Lentin , Anna H. Jonsdottir , David Stern , Victoria Mokua , Gunnar Stefansson

One of the most powerful ideas in the study and classification of algebraic varieties is the notion of a model: that is, to single out an object, in the appropriate isomorphism class, with nice properties. This survey aims to define and…

Algebraic Geometry · Mathematics 2025-11-11 Giacomo Graziani

We equip dynamic geometry software (DGS) with a user-friendly method that enables massively parallel calculations on the graphics processing unit (GPU). This interplay of DGS and GPU opens up various applications in education and…

Mathematical Software · Computer Science 2018-08-15 Aaron Montag , Jürgen Richter-Gebert

This paper presents a geometric approach to the problem of modelling the relationship between words and concepts, focusing in particular on analogical phenomena in language and cognition. Grounded in recent theories regarding geometric…

Computation and Language · Computer Science 2016-08-05 Stephen McGregor , Matthew Purver , Geraint Wiggins

This chapter introduces OpenStreetMap - a crowd-sourced, worldwide mapping project and geospatial data repository - to illustrate its usefulness in quickly and easily analyzing and visualizing planning and design outcomes in the built…

Physics and Society · Physics 2020-08-28 Geoff Boeing

The paper gives an overview of recent advances in structural equation modeling. A structural equation model is a multivariate statistical model that is determined by a mixed graph, also known as a path diagram. Our focus is on the…

Statistics Theory · Mathematics 2016-12-20 Mathias Drton

One of the elements that have popularized and facilitated the use of geographical information on a variety of computational applications has been the use of Web maps; this has opened new research challenges on different subjects, from…

Computers and Society · Computer Science 2009-11-05 Rafael Ponce-Medellin , Gabriel Gonzalez-Serna , Rocio Vargas , Lirio Ruiz

A continuously evolving geography requires a good understanding in networks. As such, this paper accounts for theories and applications of complex networks and their role both in geography in general, as well as in determining various…

Social and Information Networks · Computer Science 2019-06-24 Alexandra Barina , Gabriel Barina , Mihai Udrescu

Worldwide visual geo-localization aims to determine the geographic location of an image anywhere on Earth using only its visual content. Despite recent progress, learning expressive representations of geographic space remains challenging…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Angel Daruna , Nicholas Meegan , Han-Pang Chiu , Supun Samarasekera , Rakesh Kumar
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