This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for...Daugiau...
The use of differential equations on graphs as a framework for the mathematical analysis of images emerged about fifteen years ago and since then it has burgeoned, and with applications also to machine learning. The authors have written a birds eye...Daugiau...
Serija: Elements in Non-local Data Interactions: Foundations and Applications
(Išleidimo metai: 27-Feb-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009494656)
The use of differential equations on graphs as a framework for the mathematical analysis of images emerged about fifteen years ago and since then it has burgeoned, and with applications also to machine learning. The authors have written a birds eye...Daugiau...
Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacob...Daugiau...
Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi....Daugiau...
(Išleidimo metai: 30-Nov-2024, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978087)
Optimal transport has evolved from solving mortar-moving puzzles to addressing challenges in fluid dynamics, many-electron physics and AI. It builds theory from scratch on finite state spaces with intuitive examples, while covering modern topics inc...Daugiau...
(Išleidimo metai: 12-Sep-2024, Hardback, Leidėjas: World Scientific Europe Ltd, ISBN-13: 9781800615267)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it...Daugiau...
(Išleidimo metai: 12-Sep-2024, Paperback / softback, Leidėjas: World Scientific Europe Ltd, ISBN-13: 9781800615373)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it...Daugiau...
This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for no...Daugiau...
(Išleidimo metai: 31-Jul-2024, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977974)
Set-valued, convex, and nonsmooth analysis are relatively modern branches of mathematical analysis and increasingly relevant in current control theory and control engineering literature. The first book of this scope and at this level, this book serv...Daugiau...
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variational Analysis and Generalized Differentiation: I Basic Theory, II Applicat...Daugiau...
Contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18-20, 2022. The articles present some developments of the theory of diffeologies applied in a range of topics, fro...Daugiau...
Presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis on interior and boundary theories. The book gives an extensive survey of fundamental results, essential techniqu...Daugiau...
(Išleidimo metai: 17-Apr-2024, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470474201)
Presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis on interior and boundary theories. The book gives an extensive survey of fundamental results, essential techniqu...Daugiau...
(Išleidimo metai: 31-Aug-2023, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977615)
This book is a modern introduction to the area of optimization. Its objective is to provide the foundations of theory and algorithms of nonlinear optimization, as well as to present a variety of applications from diverse areas of applied sciences--...Daugiau...
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Daugiau...
(Išleidimo metai: 24-Jul-2023, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783110675283)
The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathem...Daugiau...
Serija: De Gruyter Series in Nonlinear Analysis & Applications
(Išleidimo metai: 19-Jun-2023, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111025261)
This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the p...Daugiau...
(Išleidimo metai: 25-Apr-2023, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811258169)
The Monograph Provides A Detailed And Comprehensive Presentation Of The Rich And Beautiful Theory Of Unilateral Variational Analysis In Infinite Dimensions. It Is Divided Into Two Volumes Named Part I And Part Ii. Starting With The Convergence Of...Daugiau...
This book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. It sets the basis and makes more accessib...Daugiau...
This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Op...Daugiau...
This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysi...Daugiau...
This volume highlights recent advances in data science, including image processing and enhancement on large data, shape analysis and geometry processing in 2D/3D, exploration and understanding of neural networks, and extensions to atypical da...Daugiau...
(Išleidimo metai: 24-Nov-2022, Hardback, Leidėjas: John Wiley & Sons Inc, ISBN-13: 9781119944362)
The Variational Calculus with Engineering Applications was and is being taught to 4th year engineering students, in the Faculty of Applied Sciences, Mathematics - Informatics Department, from the University Politehnica of Bucharest, by Prof. Emeritu...Daugiau...
(Išleidimo metai: 03-Oct-2022, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783110752533)
Chemical Sciences for the New Decade was an August 2021 virtual conference on chemistry and its applications (VCCA-2021). This first of three volumes in the proceedings focuses on the synthesis of organic and natural products. The 13 papers exp...Daugiau...
(Išleidimo metai: 20-Jul-2022, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811258480)
A Substantial Number Of Problems In Physics, Chemical Physics, And Biology, Are Modeled Through Reaction-Diffusion Equations To Describe Temperature Distribution Or Chemical Substance Concentration. For Problems Arising From Ecology, Sociology, Or...Daugiau...
The book discusses the basic concepts of functional analysis, measure and integration theory, calculus of variations and duality aiming applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductiv...Daugiau...
Develops a mathematical theory for finance, based on an intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-...Daugiau...
