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Nonlinear Dimensionality Reduction (Information Science and Statistics) de John A. Lee,Michel Verleysen

Descripción - Críticas From the reviews: 'This beautifully produced book covers various innovative topics in nonlinear dimensionality reduction, such as Isomap, locally linear embedding, and Laplacian eigenmaps, etc. Those topics are usually not covered by existing texts on multivariate statistical techniques. Moreover, the text offers an excellent overview of the concept of intrinsic dimension. Special attention is devoted to the topic of estimation of the intrinsic dimension, which has been previously overlooked by many researchers.… A strong feature of the book is the style of presentation. The book is clearly written, …A large number of examples and graphical displays in color help the reader in understanding the ideas. For each method discussed, the authors do a credible job by starting from motivating examples and intuitive ideas, introducing rigorous mathematical notation without being cumbersome, and ending with discussion and conclusion remarks. All in all, this is an interesting book, and I would recommend this text to those researchers who want to learn quickly about this new field of manifold learning. This book will serve as a useful and necessary resource to several advanced statistics courses in machine learning and data mining.… In addition, the Matlab and R packages will surely enhance the learning resources and increase the accessibility of this book to data analysts. ' (Haonan Wang, Biometrics, June 2009, 65) 'The book by Lee and Verleysen presents a comprehensive summary of the state-of-the-art of the field in a very accessible manner. It is the only book I know that offers such a thorough and systematic account of this interesting and important area of research. … Reading the book is quite enjoyable … .' (Lasse Holmström, International Statistical Reviews, Vol. 76 (2), 2008) 'The book provides an effective guide for selecting the right method and understanding potential pitfalls and limitations of the many alternative methods. … All in all, Nonlinear Dimensionality Reduction may serve two groups of readers differently. To the reader already immersed in the field it is a convenient compilation of a wide variety of algorithms with references to further resources. To students or professionals in areas outside of machine learning or statistics … it can be highly recommended as an introduction.' (Kilian Q. Weinberger, Journal of the American Statistical Association, Vol. 104 (485), March, 2009) Reseña del editor This book reviews well-known methods for reducing the dimensionality of numerical databases as well as recent developments in nonlinear dimensionality reduction. All are described from a unifying point of view, which highlights their respective strengths and shortcomings. Contraportada Methods of dimensionality reduction provide a way to understand and visualize the structure of complex data sets. Traditional methods like principal component analysis and classical metric multidimensional scaling suffer from being based on linear models. Until recently, very few methods were able to reduce the data dimensionality in a nonlinear way. However, since the late nineties, many new methods have been developed and nonlinear dimensionality reduction, also called manifold learning, has become a hot topic. New advances that account for this rapid growth are, e.g. the use of graphs to represent the manifold topology, and the use of new metrics like the geodesic distance. In addition, new optimization schemes, based on kernel techniques and spectral decomposition, have lead to spectral embedding, which encompasses many of the recently developed methods. This book describes existing and advanced methods to reduce the dimensionality of numerical databases. For each method, the description starts from intuitive ideas, develops the necessary mathematical details, and ends by outlining the algorithmic implementation. Methods are compared with each other with the help of different illustrative examples. The purpose of the book is to summarize clear facts and ideas about well-known methods as well as recent developments in the topic of nonlinear dimensionality reduction. With this goal in mind, methods are all described from a unifying point of view, in order to highlight their respective strengths and shortcomings. The book is primarily intended for statisticians, computer scientists and data analysts. It is also accessible to other practitioners having a basic background in statistics and/or computational learning, like psychologists (in psychometry) and economists. John A. Lee is a Postdoctoral Researcher of the Belgian National Fund for Scientific Research (FNRS). He is (co-)author of more than 30 publications in the field of machine learning and dimensionality reduction. Michel Verleysen is Professor at the Université catholique de Louvain (Louvain-la-Neuve, Belgium), and Honorary Research Director of the Belgian National Fund for Scientific Research (FNRS). He is the chairman of the annual European Symposium on Artificial Neural Networks, co-editor of the Neural Processing Letters journal (Springer), and (co-)author of more than 200 scientific publications in the field of machine learning.

Nonlinear dimensionality reduction psychology wiki fandom s t roweis and l k saul, nonlinear dimensionality reduction by locally linear embedding, science vol 290, 22 december 2000, 23232326 mikhail belkin and partha niyogi , laplacian eigenmaps and spectral techniques for embedding and clustering, advances in neural information processing systems 14, 2001, p 586691, mit press Dimensionality reduction wikipedia in statistics, machine learning, and information theory, dimensionality reduction or dimension reduction is the process of reducing the number of random variables under consideration by obtaining a set of principal variables approaches can be divided into feature selection and feature extraction Nonlinear dimensionality reduction as information retrieval publications in computer and information science report e5 september 2006 nonlinear dimensionality reduction as information retrieval jarkko venna samuel kaski ab teknillinen korkeakoulu tekniska högskolan helsinki university of technology technische universität helsinki universite de technologie dhelsinki

Dimensionality reduction a comparative review dimensionality reduction a comparative review laurens van der maaten eric postma jaap van den herik ticc, tilburg university 1 introduction realworld data, such as speech signals, digital photographs, or fmri scans, usually has a high dimen Nonlinear dimensionality reduction by locally linear embedding nonlinear dimensionality reduction by locally linear embedding sam t roweis1 and lawrence k saul2 many areas of science depend on exploratory data analysis and visualization the need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction how to discover compact representations of high Nonlinear dimensionality reduction of data by deep nonlinear dimensionality reduction of data by deep distributed random samplings xiaolei zhang huoshan6126 tsinghua national laboratory for information science and technology, department of electronic engineering, tsinghua university, beijing, china, 100084 editor dinh phung and hang li abstract

Detalles del Libro

• Name: Nonlinear Dimensionality Reduction (Information Science and Statistics)
  
• Autor: John A. Lee,Michel Verleysen
  
• Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  
• Tamaño del archivo: 9 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

Descargar Nonlinear Dimensionality Reduction (Information Science and Statistics) de John A. Lee,Michel Verleysen libros ebooks

Highdimensional data springerlink cite this chapter as lee ja, verleysen m 2007 highdimensional data in lee ja, verleysen m eds nonlinear dimensionality reduction Nonlinear dimensionality reduction ebook, 2007 worldcat get this from a library nonlinear dimensionality reduction john a lee michel verleysen this book describes existing and advanced methods to reduce the dimensionality of numerical databases for each method, the description starts from intuitive ideas, develops the necessary Nonlinear dimensionality reduction wikipedia below is a summary of some of the important algorithms from the history of manifold learning and nonlinear dimensionality reduction nldr many of these nonlinear dimensionality reduction methods are related to the linear methods listed belownonlinear methods can be broadly classified into two groups those that provide a mapping either from the highdimensional space to the low

Information retrieval perspective to nonlinear nonlinear dimensionality reduction methods are often used to visualize highdimensional data, al though the existing methods have been designed for other related tasks such as manifold learning it has been difficult to assess the quality of visualizations since the task has not been welldefined Nonlinear dimensionality reduction john a lee springer methods of dimensionality reduction provide a way to understand and visualize the structure of complex data sets traditional methods like principal component analysis and classical metric multidimensional scaling suffer from being based on linear models until recently, very few methods were able Nonlinear dimensionality reduction springer for research however, since the late nineties, many new methods have been developed and nonlinear dimensionality reduction, also called manifold learning, has become a hot topic new advances that account for this rapid growth are, eg the use of graphs to represent the manifold topology, and the use of new metrics like the geodesic distance