A Study on Online Variational Learning

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis A Study on Online Variational Learning by : Meeta Kalra

Download or read book A Study on Online Variational Learning written by Meeta Kalra and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data mining is an extensive area of research which is applied in various critical domains. In clinical aspect, data mining has emerged to assist clinicians in early detection, diagnosis and prevention of diseases. On the other hand, advances in computational methods have led to the implementation of machine learning in multi-modal clinical image analysis such as in CT, X-ray, MRI, microscopy among others. A challenge to these applications is the high variability, inconsistent regions with missing edges, absence of texture contrast and high noise in the background of biomedical images. To overcome this limitation various segmentation approaches have been investigated to address these shortcomings and to transform medical images into meaningful information. It is of utmost importance to have the right match between the bio-medical data and the applied algorithm. During the past decade, finite mixture models have been revealed to be one of the most flexible and popular approaches in data clustering. Here, we propose a statistical framework for online variational learning of finite mixture models for clustering medical images. The online variational learning framework is used to estimate the parameters and the number of mixture components simultaneously in a unified framework, thus decreasing the computational complexity of the model and the over fitting problems experienced with maximum likelihood approaches guaranteeing convergence. In online learning, the data becomes available in a sequential order, thus sequentially updating the best predictor for the future data at each step, as opposed to batch learning techniques which generate the best predictor by learning the entire data set at once. The choice of distributions remains the core concern of mixture models in recent research. The efficiency of Dirichlet family of distributions for this purpose has been proved in latest studies especially for non-Gaussian data. This led us to analyze online variational learning approach for finite mixture models based on different distributions. iii To this end, our contribution is the application of online variational learning approach to design finite mixture models based on inverted Dirichlet, generalized inverted Dirichlet with feature selection and inverted Beta-Liouville distributions in medical domain. We evaluated our proposed models on different biomedical image data sets. Furthermore, in each case we compared the proposed algorithm with other popular algorithms. The models detect the disease patterns with high confidence. Computational and statistical approaches like the ones presented in our work hold a significant impact on medical image analysis and interpretation in both clinical applications and scientific research. We believe that the proposed models have the capacity to address multi modal biomedical image data sets and can be further applied by researchers to analyse correct disease patterns.

Variational Bayesian Learning Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107076153
Total Pages : 561 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Variational Bayesian Learning Theory by : Shinichi Nakajima

Download or read book Variational Bayesian Learning Theory written by Shinichi Nakajima and published by Cambridge University Press. This book was released on 2019-07-11 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of variational Bayesian learning summarizes recent developments and suggests practical applications.

Mixture Models and Applications

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Publisher : Springer
ISBN 13 : 3030238768
Total Pages : 355 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mixture Models and Applications by : Nizar Bouguila

Download or read book Mixture Models and Applications written by Nizar Bouguila and published by Springer. This book was released on 2019-08-13 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on recent advances, approaches, theories and applications related to mixture models. In particular, it presents recent unsupervised and semi-supervised frameworks that consider mixture models as their main tool. The chapters considers mixture models involving several interesting and challenging problems such as parameters estimation, model selection, feature selection, etc. The goal of this book is to summarize the recent advances and modern approaches related to these problems. Each contributor presents novel research, a practical study, or novel applications based on mixture models, or a survey of the literature. Reports advances on classic problems in mixture modeling such as parameter estimation, model selection, and feature selection; Present theoretical and practical developments in mixture-based modeling and their importance in different applications; Discusses perspectives and challenging future works related to mixture modeling.

An Introduction to Variational Autoencoders

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Publisher :
ISBN 13 : 9781680836226
Total Pages : 102 pages
Book Rating : 4.8/5 (362 download)

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Book Synopsis An Introduction to Variational Autoencoders by : Diederik P. Kingma

Download or read book An Introduction to Variational Autoencoders written by Diederik P. Kingma and published by . This book was released on 2019-11-12 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Variational Autoencoders provides a quick summary for the of a topic that has become an important tool in modern-day deep learning techniques.

Variational Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642024319
Total Pages : 747 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Variational Analysis by : R. Tyrrell Rockafellar

Download or read book Variational Analysis written by R. Tyrrell Rockafellar and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Spike-timing dependent plasticity

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Publisher : Frontiers E-books
ISBN 13 : 2889190439
Total Pages : 575 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Spike-timing dependent plasticity by : Henry Markram

Download or read book Spike-timing dependent plasticity written by Henry Markram and published by Frontiers E-books. This book was released on with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hebb's postulate provided a crucial framework to understand synaptic alterations underlying learning and memory. Hebb's theory proposed that neurons that fire together, also wire together, which provided the logical framework for the strengthening of synapses. Weakening of synapses was however addressed by "not being strengthened", and it was only later that the active decrease of synaptic strength was introduced through the discovery of long-term depression caused by low frequency stimulation of the presynaptic neuron. In 1994, it was found that the precise relative timing of pre and postynaptic spikes determined not only the magnitude, but also the direction of synaptic alterations when two neurons are active together. Neurons that fire together may therefore not necessarily wire together if the precise timing of the spikes involved are not tighly correlated. In the subsequent 15 years, Spike Timing Dependent Plasticity (STDP) has been found in multiple brain brain regions and in many different species. The size and shape of the time windows in which positive and negative changes can be made vary for different brain regions, but the core principle of spike timing dependent changes remain. A large number of theoretical studies have also been conducted during this period that explore the computational function of this driving principle and STDP algorithms have become the main learning algorithm when modeling neural networks. This Research Topic will bring together all the key experimental and theoretical research on STDP.

Variational Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662032120
Total Pages : 288 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Variational Methods by : Michael Struwe

Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radò. The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.

Graphical Models, Exponential Families, and Variational Inference

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Publisher : Now Publishers Inc
ISBN 13 : 1601981848
Total Pages : 324 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Graphical Models, Exponential Families, and Variational Inference by : Martin J. Wainwright

Download or read book Graphical Models, Exponential Families, and Variational Inference written by Martin J. Wainwright and published by Now Publishers Inc. This book was released on 2008 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of this paper is a general set of variational principles for the problems of computing marginal probabilities and modes, applicable to multivariate statistical models in the exponential family.

Advances in Neural Information Processing Systems 11

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Publisher : MIT Press
ISBN 13 : 9780262112451
Total Pages : 1122 pages
Book Rating : 4.1/5 (124 download)

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Book Synopsis Advances in Neural Information Processing Systems 11 by : Michael S. Kearns

Download or read book Advances in Neural Information Processing Systems 11 written by Michael S. Kearns and published by MIT Press. This book was released on 1999 with total page 1122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The annual conference on Neural Information Processing Systems (NIPS) is the flagship conference on neural computation. It draws preeminent academic researchers from around the world and is widely considered to be a showcase conference for new developments in network algorithms and architectures. The broad range of interdisciplinary research areas represented includes computer science, neuroscience, statistics, physics, cognitive science, and many branches of engineering, including signal processing and control theory. Only about 30 percent of the papers submitted are accepted for presentation at NIPS, so the quality is exceptionally high. These proceedings contain all of the papers that were presented.

Variational and Dynamical Perspectives On Learning and Optimization

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (957 download)

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Book Synopsis Variational and Dynamical Perspectives On Learning and Optimization by : Andre Yohannes Wibisono

Download or read book Variational and Dynamical Perspectives On Learning and Optimization written by Andre Yohannes Wibisono and published by . This book was released on 2016 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of learning from data is prevalent in the modern scientific age, and optimization provides a natural mathematical language for describing learning problems. We study some problems in learning and optimization from variational and dynamical perspectives, by identifying the optimal structure in the problems and leveraging the parallel results between continuous and discrete-time problems. We begin by studying the class of accelerated methods in optimization from a continuous-time perspective. We show that there is a Lagrangian functional that we call the Bregman Lagrangian, which generates a family of dynamics via the variational principle of least action, and these dynamics are related via speeding up time. Furthermore, we provide a systematic methodology for discretizing the dynamics into the family of accelerated higher-order algorithms with matching convergence rates in discrete time. Our work illuminates two classes of natural dynamics for optimization, the gradient and Lagrangian dynamics. Next, we study the problem of approximate inference in graphical models. We analyze reweighted Kikuchi approximation for estimating the log partition function, which approximates the entropy in the variational representation with a region graph decomposition. We establish sufficient conditions for the concavity of the objective function in terms of weight assignments in the Kikuchi expansion, and characterize the polytope of concavity in terms of the cycle structure of the region graph. We also provide an algorithm to find the global optimum and simulations to demonstrate the advantages of the reweighted Kikuchi approach. Finally, we study the problem of minimax option pricing as an online learning game between Nature and an Investor. Whereas the classical Black-Scholes model assumes the price fluctuates continuously following the geometric Brownian motion, we consider a worst-case model in which Nature chooses a sequence of price fluctuations under a cumulative quadratic volatility constraint, possibly with jumps, while the Investor makes a sequence of hedging decisions. We show that even in this adversarial, non-stochastic framework, the value of the game converges to the Black-Scholes option price, and the Black-Scholes hedging strategy is near-optimal for the Investor.

Deep Learning

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Publisher : MIT Press
ISBN 13 : 0262337371
Total Pages : 801 pages
Book Rating : 4.2/5 (623 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 2016-11-10 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.

Learning Online

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Publisher : Routledge
ISBN 13 : 1136216588
Total Pages : 233 pages
Book Rating : 4.1/5 (362 download)

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Book Synopsis Learning Online by : Barbara Means

Download or read book Learning Online written by Barbara Means and published by Routledge. This book was released on 2014-04-03 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time when more and more of what people learn both in formal courses and in everyday life is mediated by technology, Learning Online provides a much-needed guide to different forms and applications of online learning. This book describes how online learning is being used in both K-12 and higher education settings as well as in learning outside of school. Particular online learning technologies, such as MOOCs (massive open online courses), multi-player games, learning analytics, and adaptive online practice environments, are described in terms of design principles, implementation, and contexts of use. Learning Online synthesizes research findings on the effectiveness of different types of online learning, but a major message of the book is that student outcomes arise from the joint influence of implementation, context, and learner characteristics interacting with technology--not from technology alone. The book describes available research about how best to implement different forms of online learning for specific kinds of students, subject areas, and contexts. Building on available evidence regarding practices that make online and blended learning more effective in different contexts, Learning Online draws implications for institutional and state policies that would promote judicious uses of online learning and effective implementation models. This in-depth research work concludes with a call for an online learning implementation research agenda, combining education institutions and research partners in a collaborative effort to generate and share evidence on effective practices.

Hidden Markov Models and Applications

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Publisher : Springer Nature
ISBN 13 : 3030991423
Total Pages : 303 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Hidden Markov Models and Applications by : Nizar Bouguila

Download or read book Hidden Markov Models and Applications written by Nizar Bouguila and published by Springer Nature. This book was released on 2022-05-19 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on recent advances, approaches, theories, and applications related Hidden Markov Models (HMMs). In particular, the book presents recent inference frameworks and applications that consider HMMs. The authors discuss challenging problems that exist when considering HMMs for a specific task or application, such as estimation or selection, etc. The goal of this volume is to summarize the recent advances and modern approaches related to these problems. The book also reports advances on classic but difficult problems in HMMs such as inference and feature selection and describes real-world applications of HMMs from several domains. The book pertains to researchers and graduate students, who will gain a clear view of recent developments related to HMMs and their applications.

Variational and Quasi-Variational Inequalities in Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402063776
Total Pages : 337 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Variational and Quasi-Variational Inequalities in Mechanics by : Alexander S. Kravchuk

Download or read book Variational and Quasi-Variational Inequalities in Mechanics written by Alexander S. Kravchuk and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.

Variational Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662041944
Total Pages : 292 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Variational Methods by : Michael Struwe

Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilberts talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateaus problem by Douglas and Rad. This third edition gives a concise introduction to variational methods and presents an overview of areas of current research in the field, plus a survey on new developments.

Information Modelling and Knowledge Bases XXXI

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Publisher : IOS Press
ISBN 13 : 1643680455
Total Pages : 562 pages
Book Rating : 4.6/5 (436 download)

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Book Synopsis Information Modelling and Knowledge Bases XXXI by : A. Dahanayake

Download or read book Information Modelling and Knowledge Bases XXXI written by A. Dahanayake and published by IOS Press. This book was released on 2020-01-06 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information modeling and knowledge bases have become an important area of academic and industry research in the 21st century, addressing complexities of modeling that reach beyond the traditional borders of information systems and academic computer science research. This book presents 32 reviewed, selected and updated papers delivered at the 29th International Conference on Information Modeling and Knowledge Bases (EJC2019), held in Lappeenranta, Finland, from 3 to 7 June 2019. In addition, two papers based on the keynote presentations and one paper edited from the discussion of the panel session are included in the book. The conference provided a forum to exchange scientific results and experience, and attracted academics and practitioners working with information and knowledge. The papers cover a wide range of topics, ranging from knowledge discovery through conceptual and linguistic modeling, knowledge and information modeling and discovery, cross-cultural communication and social computing, environmental modeling and engineering, and multimedia data modeling and systems to complex scientific problem-solving. The conference presentation sessions: Learning and Linguistics; Systems and Processes; Data and Knowledge Representation; Models and Interface; Formalizations and Reasoning; Models and Modeling; Machine Learning; Models and Programming; Environment and Predictions; and Emotion Modeling and Social Networks reflect the main themes of the conference. The book also includes 2 extended publications of keynote addresses: ‘Philosophical Foundations of Conceptual Modeling’ and ́Sustainable Solid Waste Management using Life Cycle Modeling for Environmental Impact Assessment’, as well as additional material covering the discussion and findings of the panel session. Providing an overview of current research in the field, the book will be of interest to all those working with information systems, information modeling and knowledge bases.

Introduction to Numerical Methods for Variational Problems

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Publisher : Springer Nature
ISBN 13 : 3030237885
Total Pages : 395 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Introduction to Numerical Methods for Variational Problems by : Hans Petter Langtangen

Download or read book Introduction to Numerical Methods for Variational Problems written by Hans Petter Langtangen and published by Springer Nature. This book was released on 2019-09-26 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.