Partitional Clustering Via Nonsmooth Optimization

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Partitional Clustering via Nonsmooth Optimization

Author : Adil M. Bagirov,Napsu Karmitsa,Sona Taheri
Publisher : Springer Nature
Page : 343 pages
File Size : 40,8 Mb
Release : 2020-02-24
Category : Technology & Engineering
ISBN : 9783030378264

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Partitional Clustering via Nonsmooth Optimization by Adil M. Bagirov,Napsu Karmitsa,Sona Taheri Pdf

This book describes optimization models of clustering problems and clustering algorithms based on optimization techniques, including their implementation, evaluation, and applications. The book gives a comprehensive and detailed description of optimization approaches for solving clustering problems; the authors' emphasis on clustering algorithms is based on deterministic methods of optimization. The book also includes results on real-time clustering algorithms based on optimization techniques, addresses implementation issues of these clustering algorithms, and discusses new challenges arising from big data. The book is ideal for anyone teaching or learning clustering algorithms. It provides an accessible introduction to the field and it is well suited for practitioners already familiar with the basics of optimization.

Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov

Author : Napsu Karmitsa,Sona Taheri
Publisher : MDPI
Page : 116 pages
File Size : 52,5 Mb
Release : 2020-12-18
Category : Science
ISBN : 9783039438358

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Nonsmooth Optimization in Honor of the 60th Birthday of Adil M. Bagirov by Napsu Karmitsa,Sona Taheri Pdf

The aim of this book was to collect the most recent methods developed for NSO and its practical applications. The book contains seven papers: The first is the foreword by the Guest Editors giving a brief review of NSO and its real-life applications and acknowledging the outstanding contributions of Professor Adil Bagirov to both the theoretical and practical aspects of NSO. The second paper introduces a new and very efficient algorithm for solving uncertain unit-commitment (UC) problems. The third paper proposes a new nonsmooth version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems. In the fourth paper, the abs-linear representation of piecewise linear functions is extended to yield simultaneously their DC decomposition as well as the pair of generalized gradients. The fifth paper presents the use of biased-randomized algorithms as an effective methodology to cope with NP-hard and nonsmooth optimization problems in many practical applications. In the sixth paper, a problem concerning the scheduling of nuclear waste disposal is modeled as a nonsmooth multiobjective mixed-integer nonlinear optimization problem, and a novel method using the two-slope parameterized achievement scalarizing functions is introduced. Finally, the last paper considers binary classification of a multiple instance learning problem and formulates the learning problem as a nonconvex nonsmooth unconstrained optimization problem with a DC objective function.

Cluster Analysis and Applications

Author : Rudolf Scitovski,Kristian Sabo,Francisco Martínez-Álvarez,Šime Ungar
Publisher : Springer Nature
Page : 277 pages
File Size : 47,5 Mb
Release : 2021-07-22
Category : Computers
ISBN : 9783030745523

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Cluster Analysis and Applications by Rudolf Scitovski,Kristian Sabo,Francisco Martínez-Álvarez,Šime Ungar Pdf

With the development of Big Data platforms for managing massive amount of data and wide availability of tools for processing these data, the biggest limitation is the lack of trained experts who are qualified to process and interpret the results. This textbook is intended for graduate students and experts using methods of cluster analysis and applications in various fields. Suitable for an introductory course on cluster analysis or data mining, with an in-depth mathematical treatment that includes discussions on different measures, primitives (points, lines, etc.) and optimization-based clustering methods, Cluster Analysis and Applications also includes coverage of deep learning based clustering methods. With clear explanations of ideas and precise definitions of concepts, accompanied by numerous examples and exercises together with Mathematica programs and modules, Cluster Analysis and Applications may be used by students and researchers in various disciplines, working in data analysis or data science.

Partitional Clustering Algorithms

Author : M. Emre Celebi
Publisher : Springer
Page : 415 pages
File Size : 43,6 Mb
Release : 2014-11-07
Category : Technology & Engineering
ISBN : 9783319092591

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Partitional Clustering Algorithms by M. Emre Celebi Pdf

This book focuses on partitional clustering algorithms, which are commonly used in engineering and computer scientific applications. The goal of this volume is to summarize the state-of-the-art in partitional clustering. The book includes such topics as center-based clustering, competitive learning clustering and density-based clustering. Each chapter is contributed by a leading expert in the field.

Artificial Intelligence: Theories and Applications

Author : Mohammed Salem,Juan Julián Merelo,Patrick Siarry,Rochdi Bachir Bouiadjra,Mohamed Debakla,Fatima Debbat
Publisher : Springer Nature
Page : 313 pages
File Size : 52,7 Mb
Release : 2023-03-17
Category : Computers
ISBN : 9783031285400

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Artificial Intelligence: Theories and Applications by Mohammed Salem,Juan Julián Merelo,Patrick Siarry,Rochdi Bachir Bouiadjra,Mohamed Debakla,Fatima Debbat Pdf

This volume constitutes selected papers presented at the First International Conference on Artificial Intelligence: Theories and Applications, ICAITA 2022, held in Mascara, Algeria, in November 2022. The 23 papers were thoroughly reviewed and selected from the 66 qualified submissions. They are organized in topical sections on ​artificial vision; and articial intelligence in big data and natural language processing.

Data Classification and Incremental Clustering in Data Mining and Machine Learning

Author : Sanjay Chakraborty,Sk Hafizul Islam,Debabrata Samanta
Publisher : Springer Nature
Page : 210 pages
File Size : 48,7 Mb
Release : 2022-05-10
Category : Technology & Engineering
ISBN : 9783030930882

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Data Classification and Incremental Clustering in Data Mining and Machine Learning by Sanjay Chakraborty,Sk Hafizul Islam,Debabrata Samanta Pdf

This book is a comprehensive, hands-on guide to the basics of data mining and machine learning with a special emphasis on supervised and unsupervised learning methods. The book lays stress on the new ways of thinking needed to master in machine learning based on the Python, R, and Java programming platforms. This book first provides an understanding of data mining, machine learning and their applications, giving special attention to classification and clustering techniques. The authors offer a discussion on data mining and machine learning techniques with case studies and examples. The book also describes the hands-on coding examples of some well-known supervised and unsupervised learning techniques using three different and popular coding platforms: R, Python, and Java. This book explains some of the most popular classification techniques (K-NN, Naïve Bayes, Decision tree, Random forest, Support vector machine etc,) along with the basic description of artificial neural network and deep neural network. The book is useful for professionals, students studying data mining and machine learning, and researchers in supervised and unsupervised learning techniques.

Introduction to Nonsmooth Optimization

Author : Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
Publisher : Springer
Page : 372 pages
File Size : 46,5 Mb
Release : 2014-08-12
Category : Business & Economics
ISBN : 9783319081144

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Introduction to Nonsmooth Optimization by Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä Pdf

This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Numerical Analysis and Optimization

Author : Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Publisher : Springer
Page : 304 pages
File Size : 46,7 Mb
Release : 2018-05-31
Category : Mathematics
ISBN : 9783319900261

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama Pdf

This volume contains 13 selected keynote papers presented at the Fourth International Conference on Numerical Analysis and Optimization. Held every three years at Sultan Qaboos University in Muscat, Oman, this conference highlights novel and advanced applications of recent research in numerical analysis and optimization. Each peer-reviewed chapter featured in this book reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Any graduate student or researched wishing to know the latest research in the field will be interested in this volume. This book is dedicated to the late Professors Mike JD Powell and Roger Fletcher, who were the pioneers and leading figures in the mathematics of nonlinear optimization.

Fuzzy Clustering Via Proportional Membership Model

Author : Susana Nascimento
Publisher : IOS Press
Page : 204 pages
File Size : 49,8 Mb
Release : 2005
Category : Computers
ISBN : 1586034898

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Fuzzy Clustering Via Proportional Membership Model by Susana Nascimento Pdf

Development of models with explicit mechanisms for data generation from cluster structures is of major interest in order to provide a theoretical framework for cluster structures found in data. Especially appealing in this regard are the so-called typological structures in which observed entities relate in various degrees to one or several prototypes. Such structures are relevant in many areas such as medicine or marketing, where any entity (patient/consumer) may adhere, with different degrees, to one or several prototypes (clinical scenario/consumer behavior), modelling a typological classification. In fuzzy clustering, the fuzzy c-means (FCM) method has become one of the most popular techniques. As a fuzzy analogue of c-means crisp clustering, FCM models a typological classification, much the same way as c-means. However, FCM does not adhere to the statistical paradigm at which the data are considered generated by a cluster structure, while crisp c-means does. The present work proposes a framework for typological classification based on a fuzzy clustering model of data generation.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control

Author : Marko M Makela,Pekka Neittaanmaki
Publisher : World Scientific
Page : 268 pages
File Size : 49,8 Mb
Release : 1992-05-07
Category : Mathematics
ISBN : 9789814522410

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Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control by Marko M Makela,Pekka Neittaanmaki Pdf

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 54,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

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Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Modern Statistical Methods for Health Research

Author : Yichuan Zhao,(Din) Ding-Geng Chen
Publisher : Springer Nature
Page : 506 pages
File Size : 42,6 Mb
Release : 2021-10-14
Category : Medical
ISBN : 9783030724375

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Modern Statistical Methods for Health Research by Yichuan Zhao,(Din) Ding-Geng Chen Pdf

This book brings together the voices of leading experts in the frontiers of biostatistics, biomedicine, and the health sciences to discuss the statistical procedures, useful methods, and novel applications in biostatistics research. It also includes discussions of potential future directions of biomedicine and new statistical developments for health research, with the intent of stimulating research and fostering the interactions of scholars across health research related disciplines. Topics covered include: Health data analysis and applications to EHR data Clinical trials, FDR, and applications in health science Big network analytics and its applications in GWAS Survival analysis and functional data analysis Graphical modelling in genomic studies The book will be valuable to data scientists and statisticians who are working in biomedicine and health, other practitioners in the health sciences, and graduate students and researchers in biostatistics and health.

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

Author : Stephen Boyd,Neal Parikh,Eric Chu
Publisher : Now Publishers Inc
Page : 138 pages
File Size : 45,5 Mb
Release : 2011
Category : Computers
ISBN : 9781601984609

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Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers by Stephen Boyd,Neal Parikh,Eric Chu Pdf

Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.

Machine Learning Algorithms for Problem Solving in Computational Applications: Intelligent Techniques

Author : Kulkarni, Siddhivinayak
Publisher : IGI Global
Page : 464 pages
File Size : 51,7 Mb
Release : 2012-06-30
Category : Computers
ISBN : 9781466618343

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Machine Learning Algorithms for Problem Solving in Computational Applications: Intelligent Techniques by Kulkarni, Siddhivinayak Pdf

Machine learning is an emerging area of computer science that deals with the design and development of new algorithms based on various types of data. Machine Learning Algorithms for Problem Solving in Computational Applications: Intelligent Techniques addresses the complex realm of machine learning and its applications for solving various real-world problems in a variety of disciplines, such as manufacturing, business, information retrieval, and security. This premier reference source is essential for professors, researchers, and students in artificial intelligence as well as computer science and engineering.

Mathematical Optimization Theory and Operations Research

Author : Panos Pardalos,Michael Khachay,Alexander Kazakov
Publisher : Springer Nature
Page : 510 pages
File Size : 43,6 Mb
Release : 2021-06-14
Category : Computers
ISBN : 9783030778767

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Mathematical Optimization Theory and Operations Research by Panos Pardalos,Michael Khachay,Alexander Kazakov Pdf

This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: ​combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.