Data mining and predictive analytics / / Daniel T. Larose, Chantal D. Larose

• Record Nr.: UNINA9910460169903321
• Autore: Larose Daniel T.
• Pubbl/distr/stampa: Hoboken, New Jersey : , : John Wiley & Sons, , 2015; ©2015
• ISBN: 1-118-86870-6; 1-118-86867-6
• Edizione: [Second edition.]
• Descrizione fisica: 1 online resource (827 p.)
• Collana: Wiley Series on Methods and Applications in Data Mining
• Disciplina: 006.3/12
• Soggetti: Data mining; Prediction theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Cover; Contents; Preface; Acknowledgments; Part I Data Preparation; Chapter 1 An Introduction to Data Mining and Predictive Analytics; 1.1 What is Data Mining? What is Predictive Analytics?; 1.2 Wanted: Data Miners; 1.3 The Need for Human Direction of Data Mining; 1.4 The Cross-Industry Standard Process for Data Mining: CRISP-DM; 1.4.1 CRISP-DM: The Six Phases; 1.5 Fallacies of Data Mining; 1.6 What Tasks Can Data Mining Accomplish; 1.6.1 Description; 1.6.2 Estimation; 1.6.3 Prediction; 1.6.4 Classification; 1.6.5 Clustering; 1.6.6 Association; The R Zone; R References; Exercises; Chapter 2 Data Preprocessing2.1 Why do We Need to Preprocess the Data?; 2.2 Data Cleaning; 2.3 Handling Missing Data; 2.4 Identifying Misclassifications; 2.5 Graphical Methods for Identifying Outliers; 2.6 Measures of Center and Spread; 2.7 Data Transformation; 2.8 Min-Max Normalization; 2.9 Z-Score Standardization; 2.10 Decimal Scaling; 2.11 Transformations to Achieve Normality; 2.12 Numerical Methods for Identifying Outliers; 2.13 Flag Variables; 2.14 Transforming Categorical Variables into Numerical Variables; 2.15 Binning Numerical Variables; 2.16 Reclassifying Categorical Variables; 2.17 Adding an Index Field2.18 Removing Variables that are not Useful; ; 2.19 Variables that Should Probably not be Removed; 2.20 Removal of Duplicate Records; 2.21 A Word About ID Fields; The R Zone; R Reference; Exercises; Chapter 3 Exploratory Data Analysis; 3.1 Hypothesis Testing Versus Exploratory Data Analysis; 3.2 Getting to Know the Data Set; 3.3 Exploring Categorical Variables; 3.4 Exploring Numeric Variables; 3.5 Exploring Multivariate Relationships; 3.6 Selecting Interesting Subsets of the Data for Further Investigation; 3.7 Using EDA to Uncover Anomalous Fields; 3.8 Binning Based on Predictive Value3.9 Deriving New Variables: Flag Variables; 3.10 Deriving New Variables: Numerical Variables; 3.11 Using EDA to Investigate Correlated Predictor Variables; 3.12 Summary of Our EDA; The R Zone; R References; Exercises; Chapter 4 Dimension-Reduction Methods; 4.1 Need for Dimension-Reduction in Data Mining; 4.2 Principal Components Analysis; 4.3 Applying PCA to the Houses Data Set; 4.4 How Many Components Should We Extract?; 4.4.1 The Eigenvalue Criterion; 4.4.2 The Proportion of Variance Explained Criterion; 4.4.3 The Minimum Communality Criterion; 4.4.4 The Scree Plot Criterion4.5 Profiling the Principal Components; 4.6 Communalities; 4.6.1 Minimum Communality Criterion; 4.7 Validation of the Principal Components; 4.8 Factor Analysis; 4.9 Applying Factor Analysis to the Adult Data Set; 4.10 Factor Rotation; 4.11 User-Defined Composites; 4.12 An Example of a User-Defined Composite; The R Zone; R References; Exercises; Part II Statistical Analysis; Chapter 5 Univariate Statistical Analysis; 5.1 Data Mining Tasks in Discovering Knowledge in Data; 5.2 Statistical Approaches to Estimation and Prediction; 5.3 Statistical Inference; 5.4 How Confident are We in Our Estimates?
• Sommario/riassunto: Learn methods of data analysis and their application to real-world data sets This updated second edition serves as an introduction to data mining methods and models, including association rules, clustering, neural networks, logistic regression, and multivariate analysis. The authors apply a unified "white box" approach to data mining methods and models. This approach is designed to walk readers through the operations and nuances of the various methods, using small data sets, so readers can gain an insight into the inner workings of the method under review. Chapters provide readers with hands

Handbook of Teichmüller Theory, Volume II / / Athanase Papadopoulos

• Record Nr.: UNINA9910151932603321
• Pubbl/distr/stampa: Zuerich, Switzerland, : European Mathematical Society Publishing House, 2009
• ISBN: 3-03719-555-X
• Descrizione fisica: 1 online resource (883 pages)
• Collana: IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ; , 2523-5133 ; ; 13
• Classificazione: 30-xx32-xx
• Soggetti: Complex analysis; Functions of a complex variable; Several complex variables and analytic spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Introduction to Teichmüller theory, old and new, II / Athanase Papadopoulos -- The Weil-Petersson metric geometry / Scott A. Wolpert -- Infinite dimensional Teichmüller spaces / Alastair Fletcher, Vladimir Markovic -- A construction of holomorphic families of Riemann surfaces over the punctured disk with given monodromy / Yoichi Imayoshi -- The uniformization problem / Robert Silhol -- Riemann surfaces, ribbon graphs and combinatorial classes / Gabriele Mondello -- Canonical 2-forms on the moduli space of Riemann surfaces / Nariya Kawazumi -- Quasi-homomorphisms on mapping class groups / Koji Fujiwara -- Lefschetz fibrations on 4-manifolds / Mustafa Korkmaz, András I. Stipsicz -- Introduction to measurable rigidity of mapping class groups / Yoshikata Kida -- Affine groups of flat surfaces / Martin Möller -- Braid groups and Artin groups / Luis Paris -- Complex projective structures / David Dumas -- Circle packing and Teichmüller space / Sadayoshi Kojima -- (2+1) Einstein spacetimes of finite type / Riccardo Benedetti, Francesco Bonsante -- Trace coordinates on Fricke spaces of some simple hyperbolic surfaces / William M. Goldman -- Spin networks and SL(2,ℂ)-character varieties / Sean Lawton, Elisha Peterson -- Grothendieck's reconstruction principle and 2-dimensional topology and geometry / Feng Luo -- Dessins d'enfants and origami curves / Frank Herrlich, Gabriela Schmithüsen -- ; The Teichmüller theory of the solenoid / Dragomir Šarić.
• Sommario/riassunto: This multi-volume set deals with Teichmüller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmüller theory. The aim is to give a complete panorama of this generalized Teichmüller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic. The present volume has 19 chapters and is divided into four parts: The metric and the analytic theory (uniformization, Weil-Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmüller spaces, cohomology of moduli space, and the intersection theory of moduli space). The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups). Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line). The Grothendieck-Teichmüller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmüller theory of the soleniod). This handbook is an essential reference for graduate students and researchers interested in Teichmüller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis. The authors are leading experts in the field.