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Lectures on Convex Optimization

Author : Yurii Nesterov
Publisher : Springer
ISBN 13 : 3319915789
Total Pages : 589 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Lectures on Convex Optimization by : Yurii Nesterov

Download or read book Lectures on Convex Optimization written by Yurii Nesterov and published by Springer. This book was released on 2018-11-19 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, modern introduction to convex optimization, a field that is becoming increasingly important in applied mathematics, economics and finance, engineering, and computer science, notably in data science and machine learning. Written by a leading expert in the field, this book includes recent advances in the algorithmic theory of convex optimization, naturally complementing the existing literature. It contains a unified and rigorous presentation of the acceleration techniques for minimization schemes of first- and second-order. It provides readers with a full treatment of the smoothing technique, which has tremendously extended the abilities of gradient-type methods. Several powerful approaches in structural optimization, including optimization in relative scale and polynomial-time interior-point methods, are also discussed in detail. Researchers in theoretical optimization as well as professionals working on optimization problems will find this book very useful. It presents many successful examples of how to develop very fast specialized minimization algorithms. Based on the author’s lectures, it can naturally serve as the basis for introductory and advanced courses in convex optimization for students in engineering, economics, computer science and mathematics.

Introductory Lectures on Convex Optimization

Author : Y. Nesterov
Publisher : Springer Science & Business Media
ISBN 13 : 144198853X
Total Pages : 253 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Introductory Lectures on Convex Optimization by : Y. Nesterov

Download or read book Introductory Lectures on Convex Optimization written by Y. Nesterov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was in the middle of the 1980s, when the seminal paper by Kar markar opened a new epoch in nonlinear optimization. The importance of this paper, containing a new polynomial-time algorithm for linear op timization problems, was not only in its complexity bound. At that time, the most surprising feature of this algorithm was that the theoretical pre diction of its high efficiency was supported by excellent computational results. This unusual fact dramatically changed the style and direc tions of the research in nonlinear optimization. Thereafter it became more and more common that the new methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments. In a new rapidly develop ing field, which got the name "polynomial-time interior-point methods", such a justification was obligatory. Afteralmost fifteen years of intensive research, the main results of this development started to appear in monographs [12, 14, 16, 17, 18, 19]. Approximately at that time the author was asked to prepare a new course on nonlinear optimization for graduate students. The idea was to create a course which would reflect the new developments in the field. Actually, this was a major challenge. At the time only the theory of interior-point methods for linear optimization was polished enough to be explained to students. The general theory of self-concordant functions had appeared in print only once in the form of research monograph [12].

Introductory Lectures on Convex Optimization

Author : Yurii Nesterov
Publisher : Springer Science & Business Media
ISBN 13 : 9781402075537
Total Pages : 270 pages
Book Rating : 4.0/5 (755 download)

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Book Synopsis Introductory Lectures on Convex Optimization by : Yurii Nesterov

Download or read book Introductory Lectures on Convex Optimization written by Yurii Nesterov and published by Springer Science & Business Media. This book was released on 2003-12-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was in the middle of the 1980s, when the seminal paper by Kar markar opened a new epoch in nonlinear optimization. The importance of this paper, containing a new polynomial-time algorithm for linear op timization problems, was not only in its complexity bound. At that time, the most surprising feature of this algorithm was that the theoretical pre diction of its high efficiency was supported by excellent computational results. This unusual fact dramatically changed the style and direc tions of the research in nonlinear optimization. Thereafter it became more and more common that the new methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments. In a new rapidly develop ing field, which got the name "polynomial-time interior-point methods", such a justification was obligatory. Afteralmost fifteen years of intensive research, the main results of this development started to appear in monographs [12, 14, 16, 17, 18, 19]. Approximately at that time the author was asked to prepare a new course on nonlinear optimization for graduate students. The idea was to create a course which would reflect the new developments in the field. Actually, this was a major challenge. At the time only the theory of interior-point methods for linear optimization was polished enough to be explained to students. The general theory of self-concordant functions had appeared in print only once in the form of research monograph [12].

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 860 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Semidefinite Programming

Author : Henry Wolkowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461543819
Total Pages : 660 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Handbook of Semidefinite Programming by : Henry Wolkowicz

Download or read book Handbook of Semidefinite Programming written by Henry Wolkowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semidefinite programming (SDP) is one of the most exciting and active research areas in optimization. It has and continues to attract researchers with very diverse backgrounds, including experts in convex programming, linear algebra, numerical optimization, combinatorial optimization, control theory, and statistics. This tremendous research activity has been prompted by the discovery of important applications in combinatorial optimization and control theory, the development of efficient interior-point algorithms for solving SDP problems, and the depth and elegance of the underlying optimization theory. The Handbook of Semidefinite Programming offers an advanced and broad overview of the current state of the field. It contains nineteen chapters written by the leading experts on the subject. The chapters are organized in three parts: Theory, Algorithms, and Applications and Extensions.

Russia & Europe in the Nineteenth Century

Author : Sphinx Fine Art
Publisher : Sphinx Fine Art
ISBN 13 : 9781907200021
Total Pages : 254 pages
Book Rating : 4.2/5 ( download)

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Book Synopsis Russia & Europe in the Nineteenth Century by : Sphinx Fine Art

Download or read book Russia & Europe in the Nineteenth Century written by Sphinx Fine Art and published by Sphinx Fine Art. This book was released on 2008 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interior-point Polynomial Algorithms in Convex Programming

Author : Yurii Nesterov
Publisher : SIAM
ISBN 13 : 9781611970791
Total Pages : 414 pages
Book Rating : 4.9/5 (77 download)

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Book Synopsis Interior-point Polynomial Algorithms in Convex Programming by : Yurii Nesterov

Download or read book Interior-point Polynomial Algorithms in Convex Programming written by Yurii Nesterov and published by SIAM. This book was released on 1994-01-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice.

Holy Rus'

Author : John P. Burgess
Publisher : Yale University Press
ISBN 13 : 0300222246
Total Pages : 280 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Holy Rus' by : John P. Burgess

Download or read book Holy Rus' written by John P. Burgess and published by Yale University Press. This book was released on 2017-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating, vivid, and on-the-ground account of Russian Orthodoxy's resurgence A bold experiment is taking place in Russia. After a century of being scarred by militant, atheistic communism, the Orthodox Church has become Russia's largest and most significant nongovernmental organization. As it has returned to life, it has pursued a vision of reclaiming Holy Rus' that historical yet mythical homeland of the eastern Slavic peoples; a foretaste of the perfect justice, peace, harmony, and beauty for which religious believers long; and the glimpse of heaven on earth that persuaded Prince Vladimir to accept Orthodox baptism in Crimea in A.D. 988. Through groundbreaking initiatives in religious education, social ministry, historical commemoration, and parish life, the Orthodox Church is seeking to shape a new, post-communist national identity for Russia. In this eye-opening and evocative book, John Burgess examines Russian Orthodoxy's resurgence from a grassroots level, providing Western readers with an enlightening, inside look at the new Russia.

High-Precision Methods in Eigenvalue Problems and Their Applications

Author : Leonid D. Akulenko
Publisher : CRC Press
ISBN 13 : 020340128X
Total Pages : 261 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis High-Precision Methods in Eigenvalue Problems and Their Applications by : Leonid D. Akulenko

Download or read book High-Precision Methods in Eigenvalue Problems and Their Applications written by Leonid D. Akulenko and published by CRC Press. This book was released on 2004-10-15 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high

Antosha and Levitasha

Author : Serge Gregory
Publisher : Cornell University Press
ISBN 13 : 1501756761
Total Pages : 261 pages
Book Rating : 4.5/5 (17 download)

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Book Synopsis Antosha and Levitasha by : Serge Gregory

Download or read book Antosha and Levitasha written by Serge Gregory and published by Cornell University Press. This book was released on 2015-12-07 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Through meticulous scholarship and fine writerly craft, Gregory offers a riveting story of two creative geniuses at work."― Slavonic and East European Journal Accessible and engaging, Antosha and Levitasha will appeal to scholars and general readers interested in art history, late nineteenth-century Russian culture, and biographies. Antosha and Levitasha is the first book in English devoted to the complex relationship between Anton Chekhov and Isaac Levitan, one of Russia's greatest landscape painters. Outside of Russia, a general lack of familiarity with Levitan's life and art has undermined an appreciation of the cultural significance of his friendship with Chekhov. Serge Gregory's highly readable study attempts to fill that gap for Western readers by examining a friendship that may have vacillated between periods of affection and animosity, but always reflected an unwavering shared aesthetic. In Russia, where entire rooms of galleries in Moscow and St. Petersburg are devoted to Levitan's paintings, the lives of the famous writer and the equally famous artist have long been tied together. To those familiar with the work of both men, it is evident that Levitan's "landscapes of mood" have much in common with the way that Chekhov's characters perceive nature as a reflection of their emotional state. Gregory focuses on three overarching themes: the artists' similar approach to depicting landscape; their romantic and social rivalries within their circle of friends, which included many of Moscow's leading cultural figures; and the influence of Levitan's personal life on Chekhov's stories and plays. He emphasizes the facts of Levitan's life and his place in late nineteenth-century Russian art, particularly with respect to his dual loyalties to the competing Itinerant and World of Art movements.

Dictatorship of the Air

Author : Scott W. Palmer
Publisher : Cambridge University Press
ISBN 13 : 9780521859578
Total Pages : 348 pages
Book Rating : 4.8/5 (595 download)

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Book Synopsis Dictatorship of the Air by : Scott W. Palmer

Download or read book Dictatorship of the Air written by Scott W. Palmer and published by Cambridge University Press. This book was released on 2006-07-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on one of the last untold chapters in the history of human flight, this book explains the true story behind twentieth-century Russia's quest for aviation prominence.

Deep Learning

Author : Ian Goodfellow
Publisher : MIT Press
ISBN 13 : 0262035618
Total Pages : 801 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Deep Learning by : Ian Goodfellow

Download or read book Deep Learning written by Ian Goodfellow and published by MIT Press. This book was released on 2016-11-18 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to a broad range of topics in deep learning, covering mathematical and conceptual background, deep learning techniques used in industry, and research perspectives. “Written by three experts in the field, Deep Learning is the only comprehensive book on the subject.” —Elon Musk, cochair of OpenAI; cofounder and CEO of Tesla and SpaceX Deep learning is a form of machine learning that enables computers to learn from experience and understand the world in terms of a hierarchy of concepts. Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning. The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models. Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.

Domo Seventeen

Author : Donald Neal McKay
Publisher :
ISBN 13 : 9781932053036
Total Pages : 514 pages
Book Rating : 4.0/5 (53 download)

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Book Synopsis Domo Seventeen by : Donald Neal McKay

Download or read book Domo Seventeen written by Donald Neal McKay and published by . This book was released on 2002-12-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Continuous Optimization

Author : Roman A. Polyak
Publisher : Springer Nature
ISBN 13 : 3030687139
Total Pages : 552 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Introduction to Continuous Optimization by : Roman A. Polyak

Download or read book Introduction to Continuous Optimization written by Roman A. Polyak and published by Springer Nature. This book was released on 2021-04-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization. The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why. The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.

Classical And Modern Optimization

Author : Guillaume Carlier
Publisher : World Scientific
ISBN 13 : 180061067X
Total Pages : 388 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Classical And Modern Optimization by : Guillaume Carlier

Download or read book Classical And Modern Optimization written by Guillaume Carlier and published by World Scientific. This book was released on 2022-03-16 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class.

Convex Optimization

Author : Sébastien Bubeck
Publisher : Foundations and Trends (R) in Machine Learning
ISBN 13 : 9781601988607
Total Pages : 142 pages
Book Rating : 4.9/5 (886 download)

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Book Synopsis Convex Optimization by : Sébastien Bubeck

Download or read book Convex Optimization written by Sébastien Bubeck and published by Foundations and Trends (R) in Machine Learning. This book was released on 2015-11-12 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms. It begins with the fundamental theory of black-box optimization and proceeds to guide the reader through recent advances in structural optimization and stochastic optimization. The presentation of black-box optimization, strongly influenced by the seminal book by Nesterov, includes the analysis of cutting plane methods, as well as (accelerated) gradient descent schemes. Special attention is also given to non-Euclidean settings (relevant algorithms include Frank-Wolfe, mirror descent, and dual averaging), and discussing their relevance in machine learning. The text provides a gentle introduction to structural optimization with FISTA (to optimize a sum of a smooth and a simple non-smooth term), saddle-point mirror prox (Nemirovski's alternative to Nesterov's smoothing), and a concise description of interior point methods. In stochastic optimization it discusses stochastic gradient descent, mini-batches, random coordinate descent, and sublinear algorithms. It also briefly touches upon convex relaxation of combinatorial problems and the use of randomness to round solutions, as well as random walks based methods.

Mastering Neural Networks

Author : Cybellium Ltd
Publisher : Cybellium Ltd
ISBN 13 :
Total Pages : 221 pages
Book Rating : 4.8/5 (76 download)

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Book Synopsis Mastering Neural Networks by : Cybellium Ltd

Download or read book Mastering Neural Networks written by Cybellium Ltd and published by Cybellium Ltd. This book was released on with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unleash the Power of Deep Learning for Intelligent Systems In the realm of artificial intelligence and machine learning, neural networks stand as the driving force behind intelligent systems that mimic human cognition. "Mastering Neural Networks" is your ultimate guide to comprehending and harnessing the potential of these powerful algorithms, empowering you to create intelligent solutions that push the boundaries of innovation. About the Book: As technology advances, the capabilities of neural networks become more integral to various fields. "Mastering Neural Networks" offers an in-depth exploration of this cutting-edge subject—an essential toolkit for data scientists, engineers, and enthusiasts. This book caters to both newcomers and experienced learners aiming to excel in neural network concepts, architectures, and applications. Key Features: Neural Network Fundamentals: Begin by understanding the core principles of neural networks. Learn about artificial neurons, activation functions, and the architecture of these powerful algorithms. Feedforward Neural Networks: Dive into feedforward neural networks. Explore techniques for designing, training, and optimizing networks for various tasks. Convolutional Neural Networks: Grasp the art of convolutional neural networks. Understand how these architectures excel in image and pattern recognition tasks. Recurrent Neural Networks: Explore recurrent neural networks. Learn how to process sequences and time-series data, making them suitable for tasks like language modeling and speech recognition. Generative Adversarial Networks: Understand the significance of generative adversarial networks. Explore how these networks enable the generation of realistic images, text, and data. Transfer Learning and Fine-Tuning: Delve into transfer learning. Learn how to leverage pretrained models and adapt them to new tasks, saving time and resources. Neural Network Optimization: Grasp optimization techniques. Explore methods for improving network performance, reducing overfitting, and tuning hyperparameters. Real-World Applications: Gain insights into how neural networks are applied across industries. From healthcare to finance, discover the diverse applications of these algorithms. Why This Book Matters: In a world driven by intelligent systems, mastering neural networks offers a competitive advantage. "Mastering Neural Networks" empowers data scientists, engineers, and technology enthusiasts to leverage these cutting-edge algorithms, enabling them to create intelligent solutions that redefine the boundaries of innovation. Unleash the Future of Intelligence: In the landscape of artificial intelligence, neural networks are reshaping technology and innovation. "Mastering Neural Networks" equips you with the knowledge needed to leverage these powerful algorithms, enabling you to create intelligent solutions that push the boundaries of innovation and redefine what's possible. Whether you're a seasoned practitioner or new to the world of neural networks, this book will guide you in building a solid foundation for effective AI-driven solutions. Your journey to mastering neural networks starts here. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com