Topological Dynamics and Topological Data Analysis: Iwcta 2018, Kochi, India, December 9-11, Devaney Robert L., Chan Kit, Vinod Kumar P. B.
Автор: Tierny Julien Название: Topological Data Analysis for Scientific Visualization ISBN: 3319890794 ISBN-13(EAN): 9783319890791 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1. Introduction.- 2. Background: 2.1 Data representation.- 2.2 Topological abstractions.- 2.3 Algorithms and applications.- 3. Abstraction: 3.1 Efficient topological simplification of scalar fields.- 3.2 Efficient Reeb graph computation for volumetric meshes.- 4. Interaction: 4.1 Topological simplification of isosurfaces.- 4.2 Interactive editing of topological abstractions.- 5. Analysis: 5.1 Exploration of turbulent combustion simulations.- 5.2 Quantitative analysis of molecular interactions.- 6. Perspectives: 6.1 Emerging constraints.- 6.2 Emerging data types.- 7. Conclusion.
Автор: Pascucci Название: Topological Methods in Data Analysis and Visualization ISBN: 3642150136 ISBN-13(EAN): 9783642150135 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on Topological Methods in Data Analysis and Visualization , held 2009 in Snowbird, Utah, US. The 2009 TopoInVis workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).
Автор: Maitine Bergounioux, ?douard Oudet, Martin Rumpf, Название: Topological Optimization and Optimal Transport: In the Applied Sciences ISBN: 3110439263 ISBN-13(EAN): 9783110439267 Издательство: Walter de Gruyter Рейтинг: Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered.
Contents Part I
Geometric issues in PDE problems related to the infinity Laplace operator
Solution of free boundary problems in the presence of geometric uncertainties
Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies
High-order topological expansions for Helmholtz problems in 2D
On a new phase field model for the approximation of interfacial energies of multiphase systems
Optimization of eigenvalues and eigenmodes by using the adjoint method
Discrete varifolds and surface approximation
Part II
Weak Monge-Ampere solutions of the semi-discrete optimal transportation problem
Optimal transportation theory with repulsive costs
Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations
On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows
Pressureless Euler equations with maximal density constraint: a time-splitting scheme
Convergence of a fully discrete variational scheme for a thin-film equatio
Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance
Описание: This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras.
Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Автор: Baas Nils A., Carlsson Gunnar E., Quick Gereon Название: Topological Data Analysis: The Abel Symposium 2018 ISBN: 3030434079 ISBN-13(EAN): 9783030434076 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response.
Автор: Baas Nils A., Carlsson Gunnar E., Quick Gereon Название: Topological Data Analysis: The Abel Symposium 2018 ISBN: 3030434109 ISBN-13(EAN): 9783030434106 Издательство: Springer Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response.
Автор: Tierny Julien Название: Topological Data Analysis for Scientific Visualization ISBN: 3319715062 ISBN-13(EAN): 9783319715063 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1. Introduction.- 2. Background: 2.1 Data representation.- 2.2 Topological abstractions.- 2.3 Algorithms and applications.- 3. Abstraction: 3.1 Efficient topological simplification of scalar fields.- 3.2 Efficient Reeb graph computation for volumetric meshes.- 4. Interaction: 4.1 Topological simplification of isosurfaces.- 4.2 Interactive editing of topological abstractions.- 5. Analysis: 5.1 Exploration of turbulent combustion simulations.- 5.2 Quantitative analysis of molecular interactions.- 6. Perspectives: 6.1 Emerging constraints.- 6.2 Emerging data types.- 7. Conclusion.
Описание: This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Utah, US. It offers an important contribution to the field.
Описание: iMIMIC 2021 Workshop.- Interpretable Deep Learning for Surgical Tool Management.- Soft Attention Improves Skin Cancer Classification Performance.- Deep Gradient based on Collective Arti cial Intelligence for AD Diagnosis and Prognosis.- This explains That: Congruent Image-Report Generation for Explainable Medical Image Analysis with Cyclic Generative Adversarial Networks.- Visual Explanation by Unifying Adversarial Generation and Feature Importance Attributions.- The Effect of the Loss on Generalization: Empirical Study on Synthetic Lung Nodule Data.- Voxel-level Importance Maps for Interpretable Brain Age Estimation.- TDA4MedicalData Workshop.- Lattice Paths for Persistent Diagrams.- Neighborhood complex based machine learning (NCML) models for drug design.- Predictive modelling of highly multiplexed tumour tissue images by graph neural networks.- Statistical modeling of pulmonary vasculatures with topological priors in CT volumes.- Topological Detection of Alzheimer's Disease using Betti Curves.
Scalar Field Topology-Algorithms and Applications.- W-Structures in Contour Trees.- Treemap Based Exploration of Merge Trees.- Notes on Percolation Analysis of Sampled Scalar Fields.- Distributed Task-Parallel Topology-Controlled Volume Rendering.- Topology-Based Tracking of Multi-Center Cyclones.- Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes.- Topological Methods in Complex Fields-Flow Fields, Tensor Fields, and Multi-fields.- Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction.- Coreline Criteria for Inertial Particle Motion.- Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection.- Visually Evaluating Topological Equivalence of Bounded Bivariate Fields.- Topological Feature Search in Time-Varying Multifield Data.- Tensor Fields for Data Extraction from Chart Images: Bar Charts, Histograms, and Scatter Plots.- Topology for Geometric Data.- A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space.- Topologically Robust B-Spline Reconstruction of Fibers from 3D Images.- Introduction to Vector Field Topology.- An Overview of the Topology ToolKit.- Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit.- TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives.
Описание: This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization. They provide an essential snapshot of state-of-the-art research, helping researchers to keep abreast of the latest developments and providing a basis for future work.
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