Statistics, Data Mining, and Machine Learning in Astronomy

Name: Statistics, Data Mining, and Machine Learning in Astronomy | A Practical Python Guide for the Analysis of Survey Data, Updated Edition
Brand: Princeton University Press
Price: 96.99 EUR
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A Practical Python Guide for the Analysis of Survey Data, Updated Edition

Zeljko Ivezic Andrew J. Connolly Jacob T. VanderPlas Alexander Gray(Autor*in)

Princeton University Press

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Erschienen am 3. Dezember 2019

552 Seiten

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Inhalt

Cover
Contents
Preface
I: Introduction
1. About the Book and Supporting Material
1.1 What Do Data Mining, Machine Learning, and Knowledge Discovery Mean?
1.2 What Is This Book About?
1.3 An Incomplete Survey of the Relevant Literature
1.4 Introduction to the Python Language and the Git Code Management Tool
1.5 Description of Surveys and Data Sets Used in Examples
1.6 Plotting and Visualizing the Data in This Book
1.7 How to Efficiently Use This Book
References
2. Fast Computation on Massive Data Sets
2.1 Data Types and Data Management Systems
2.2 Analysis of Algorithmic Efficiency
2.3 Seven Types of Computational Problem
2.4 Eight Strategies for Speeding Things Up
2.5 Case Studies: Speedup Strategies in Practice
References
II: Statistical Frameworks and Exploratory Data Analysis
3. Probability and Statistical Distributions
3.1 Brief Overview of Probability and Random Variables
3.2 Descriptive Statistics
3.3 Common Univariate Distribution Functions
3.4 The Central Limit Theorem
3.5 Bivariate and Multivariate Distribution Functions
3.6 Correlation Coefficients
3.7 Random Number Generation for Arbitrary Distributions
References
4. Classical Statistical Inference
4.1 Classical vs. Bayesian Statistical Inference
4.2 Maximum Likelihood Estimation (MLE)
4.3 The Goodness of Fit and Model Selection
4.4 ML Applied to Gaussian Mixtures: The Expectation Maximization Algorithm
4.5 Confidence Estimates: The Bootstrap and the Jackknife
4.6 Hypothesis Testing
4.7 Comparison of Distributions
4.8 Nonparametric Modeling and Histograms
4.9 Selection Effects and Luminosity Function Estimation
4.10 Summary
References
5. Bayesian Statistical Inference
5.1 Introduction to the Bayesian Method
5.2 Bayesian Priors
5.3 Bayesian Parameter Uncertainty Quantification
5.4 Bayesian Model Selection
5.5 Nonuniform Priors: Eddington, Malmquist, and Lutz-Kelker Biases
5.6 Simple Examples of Bayesian Analysis: Parameter Estimation
5.7 Simple Examples of Bayesian Analysis: Model Selection
5.8 Numerical Methods for Complex Problems (MCMC)
5.9 Hierarchical Bayesian Modeling
5.10 Approximate Bayesian Computation
5.11 Summary of Pros and Cons for Classical and Bayesian Methods
References
III: Data Mining and Machine Learning
6. Searching for Structure in Point Data
6.1 Nonparametric Density Estimation
6.2 Nearest-Neighbor Density Estimation
6.3 Parametric Density Estimation
6.4 Finding Clusters in Data
6.5 Correlation Functions
6.6 Which Density Estimation and Clustering Algorithms Should I Use?
References
7. Dimensionality and Its Reduction
7.1 The Curse of Dimensionality
7.2 The Data Sets Used in This Chapter
7.3 Principal Component Analysis
7.4 Nonnegative Matrix Factorization
7.5 Manifold Learning
7.6 Independent Component Analysis and Projection Pursuit
7.7 Which Dimensionality Reduction Technique Should I Use?
References
8. Regression and Model Fitting
8.1 Formulation of the Regression Problem
8.2 Regression for Linear Models
8.3 Regularization and Penalizing the Likelihood
8.4 Principal Component Regression
8.5 Kernel Regression
8.6 Locally Linear Regression
8.7 Nonlinear Regression
8.8 Uncertainties in the Data
8.9 Regression That Is Robust to Outliers
8.10 Gaussian Process Regression
8.11 Overfitting, Underfitting, and Cross-Validation
8.12 Which Regression Method Should I Use?
References
9. Classification
9.1 Data Sets Used in This Chapter
9.2 Assigning Categories: Classification
9.3 Generative Classification
9.4 K-Nearest-Neighbor Classifier
9.5 Discriminative Classification
9.6 Support Vector Machines
9.7 Decision Trees
9.8 Deep Learning and Neural Networks
9.9 Evaluating Classifiers: ROC Curves
9.10 Which Classifier Should I Use?
References
10. Time Series Analysis
10.1 Main Concepts for Time Series Analysis
10.2 Modeling Toolkit for Time Series Analysis
10.3 Analysis of Periodic Time Series
10.4 Temporally Localized Signals
10.5 Analysis of Stochastic Processes
10.6 Which Method Should I Use for Time Series Analysis?
References
IV: Appendices
A. An Introduction to Scientific Computing with Python
A.1 A Brief History of Python
A.2 The SciPy Universe
A.3 Getting Started with Python
A.4 IPython: The Basics of Interactive Computing
A.5 Introduction to NumPy
A.6 Visualization with Matplotlib
A.7 Overview of Useful NumPy/SciPy Modules
A.8 Efficient Coding with Python and NumPy
A.9 Wrapping Existing code in Python
A.10 Other Resources
B. AstroML: Machine Learning for Astronomy
B.1 Introduction
B.2 Dependencies
B.3 Tools Included in AstroML v1.0
B.4 Open Source Deep Learning Libraries
C. Astronomical Flux Measurements and Magnitudes
C.1 The Definition of the Specific Flux
C.2 Wavelength Window Function for Astronomical Measurements
C.3 The Astronomical Magnitude Systems
D. SQL Query for Downloading SDSS Data
E. Approximating the Fourier Transform with the FFT
References
Visual Figure Index
Index
Color Plates

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