Kirillov's Seminar on Representation Theory
Author: Grigori I. Olshanskiĭ
Publisher: American Mathematical Soc.
Published: 1998
Total Pages: 290
ISBN-13: 9780821806692
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Kirillov's Seminar on Representation Theory
Lie Group Machine Learning
Author: Fanzhang Li
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2018-11-05
Total Pages: 533
ISBN-13: 3110499509
DOWNLOAD EBOOK →This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.
Cohomological and Geometric Approaches to Rationality Problems
Author: Fedor Bogomolov
Publisher: Springer Science & Business Media
Published: 2009-11-03
Total Pages: 314
ISBN-13: 0817649344
DOWNLOAD EBOOK →Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov
Fault Detection, Diagnosis and Prognosis
Author: Fausto Pedro García Márquez
Publisher: BoD – Books on Demand
Published: 2020-02-05
Total Pages: 177
ISBN-13: 1789842131
DOWNLOAD EBOOK →This book presents the main concepts, state of the art, advances, and case studies of fault detection, diagnosis, and prognosis. This topic is a critical variable in industry to reach and maintain competitiveness. Therefore, proper management of the corrective, predictive, and preventive politics in any industry is required. This book complements other subdisciplines such as economics, finance, marketing, decision and risk analysis, engineering, etc. The book presents real case studies in multiple disciplines. It considers the main topics using prognostic and subdiscipline techniques. It is essential to link these topics with the areas of finance, scheduling, resources, downtime, etc. to increase productivity, profitability, maintainability, reliability, safety, and availability, and reduce costs and downtime. Advances in mathematics, modeling, computational techniques, dynamic analysis, etc. are employed analytically. Computational techniques, dynamic analysis, probabilistic methods, and mathematical optimization techniques are expertly blended to support the analysis of prognostic problems with defined constraints and requirements. The book is intended for graduate students and professionals in industrial engineering, business administration, industrial organization, operations management, applied microeconomics, and the decisions sciences, either studying maintenance or needing to solve large, specific, and complex maintenance management problems as part of their jobs. The work will also be of interest to researches from academia.
Metaheuristics in Machine Learning: Theory and Applications
Author: Diego Oliva
Publisher: Springer Nature
Published:
Total Pages: 765
ISBN-13: 3030705420
DOWNLOAD EBOOK →This book is a collection of the most recent approaches that combine metaheuristics and machine learning. Some of the methods considered in this book are evolutionary, swarm, machine learning, and deep learning. The chapters were classified based on the content; then, the sections are thematic. Different applications and implementations are included; in this sense, the book provides theory and practical content with novel machine learning and metaheuristic algorithms. The chapters were compiled using a scientific perspective. Accordingly, the book is primarily intended for undergraduate and postgraduate students of Science, Engineering, and Computational Mathematics and is useful in courses on Artificial Intelligence, Advanced Machine Learning, among others. Likewise, the book is useful for research from the evolutionary computation, artificial intelligence, and image processing communities.
Macrolide Antibiotics
Author: W. Schönfeld
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 327
ISBN-13: 3034881053
DOWNLOAD EBOOK →There are only very few chemical classes of antibiotics in medical use, and these have originated over a span of more than 60 years of research. Almost half a century ago, the first member of the macrolides, erythromycin, was introduced as a treatment option for bacterial infections. Erythromycin is a very complex fermentation product obtained from the soil bacterium Saccharopolyspora ery thraea (originally named Streptomyces erythreus). The success of erythromycin, based on its efficacy and tolerability, stimulated researchers throughout the world to undertake intense efforts to understand the biology and chemistry of macrolides and to use this experience to improve the properties of this compound class. The second generation of macrolides, based on chemical modifications of erythromy cin, is currently being in broad use, especially for treatment of respiratory tract infections. We presently foresee the introduction of a new generation of macro lides, i. e. the ketolides, which have the potential to overcome rising resistance problems. This monograph is intended to give the interested reader an overview on "macrolide experience", covering important areas from basic research to clinical use. Starting from a historic overview, the essential basic parameters - efficacy, pharmacokinetics, pharmacodynamics, and pharmacology - are highlighted in order to introduce the reader to the rationale for clinical use of macrolides. The following group of chapters cover the complex chemistry of the macro lactone structures, giving historic background, basic structure-activity relation ships of various derivatization strategies, and perspectives for future discovery of new semisynthetic macrolide antibiotics.
Computational Science and Its Applications – ICCSA 2019
Author: Sanjay Misra
Publisher: Springer
Published: 2019-06-28
Total Pages: 733
ISBN-13: 3030243087
DOWNLOAD EBOOK →The six volumes LNCS 11619-11624 constitute the refereed proceedings of the 19th International Conference on Computational Science and Its Applications, ICCSA 2019, held in Saint Petersburg, Russia, in July 2019. The 64 full papers, 10 short papers and 259 workshop papers presented were carefully reviewed and selected form numerous submissions. The 64 full papers are organized in the following five general tracks: computational methods, algorithms and scientific applications; high performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 259 workshop papers were presented at 33 workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as software engineering, security, artificial intelligence and blockchain technologies.
Computational Science and Its Applications – ICCSA 2021
Author: Osvaldo Gervasi
Publisher: Springer Nature
Published: 2021-09-09
Total Pages: 672
ISBN-13: 3030870138
DOWNLOAD EBOOK →The ten-volume set LNCS 12949 – 12958 constitutes the proceedings of the 21st International Conference on Computational Science and Its Applications, ICCSA 2021, which was held in Cagliari, Italy, during September 13 – 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics as multicore architectures, blockchain, mobile and wireless security, sensor networks, open source software, collaborative and social computing systems and tools, cryptography, applied mathematics human computer interaction, software design engineering, and others. Part IX of the set includes the proceedings of the following events: 13th International Symposium on Software Engineering Processes and Applications (SEPA 2021); International Workshop on Sustainability Performance Assessment: models, approaches and applications toward interdisciplinary and integrated solutions (SPA 2021).
Free Random Variables
Author: Dan V. Voiculescu
Publisher: American Mathematical Soc.
Published: 1992
Total Pages: 80
ISBN-13: 0821811401
DOWNLOAD EBOOK →This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.
