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Python for Probability, Statistics, and Machine Learning / by José Unpingco.

Springer Nature - Springer Engineering eBooks 2019 English International Available online

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Format:
Book
Author/Creator:
Unpingco, José, 1969- author.
Contributor:
SpringerLink (Online service)
Series:
Engineering (Springer-11647)
Language:
English
Subjects (All):
Electrical engineering.
Mathematical statistics.
Applied mathematics.
Engineering mathematics.
Statistics.
Data mining.
Communications Engineering, Networks.
Probability and Statistics in Computer Science.
Mathematical and Computational Engineering.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Data Mining and Knowledge Discovery.
Local Subjects:
Communications Engineering, Networks.
Probability and Statistics in Computer Science.
Mathematical and Computational Engineering.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Data Mining and Knowledge Discovery.
Physical Description:
1 online resource (XIV, 384 pages) : 165 illustrations, 37 illustrations in color
Edition:
Second edition 2019.
Contained In:
Springer eBooks
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2019.
System Details:
text file PDF
Summary:
This book, fully updated for Python version 3.6+, covers the key ideas that link probability, statistics, and machine learning illustrated using Python modules in these areas. All the figures and numerical results are reproducible using the Python codes provided. The author develops key intuitions in machine learning by working meaningful examples using multiple analytical methods and Python codes, thereby connecting theoretical concepts to concrete implementations. Detailed proofs for certain important results are also provided. Modern Python modules like Pandas, Sympy, Scikit-learn, Tensorflow, and Keras are applied to simulate and visualize important machine learning concepts like the bias/variance trade-off, cross-validation, and regularization. Many abstract mathematical ideas, such as convergence in probability theory, are developed and illustrated with numerical examples. This updated edition now includes the Fisher Exact Test and the Mann-Whitney-Wilcoxon Test. A new section on survival analysis has been included as well as substantial development of Generalized Linear Models. The new deep learning section for image processing includes an in-depth discussion of gradient descent methods that underpin all deep learning algorithms. As with the prior edition, there are new and updated *Programming Tips* that the illustrate effective Python modules and methods for scientific programming and machine learning. There are 445 run-able code blocks with corresponding outputs that have been tested for accuracy. Over 158 graphical visualizations (almost all generated using Python) illustrate the concepts that are developed both in code and in mathematics. We also discuss and use key Python modules such as Numpy, Scikit-learn, Sympy, Scipy, Lifelines, CvxPy, Theano, Matplotlib, Pandas, Tensorflow, Statsmodels, and Keras. This book is suitable for anyone with an undergraduate-level exposure to probability, statistics, or machine learning and with rudimentary knowledge of Python programming.
Contents:
Introduction
Part 1 Getting Started with Scientific Python
Installation and Setup
Numpy
Matplotlib
Ipython
Jupyter Notebook
Scipy
Pandas
Sympy
Interfacing with Compiled Libraries
Integrated Development Environments
Quick Guide to Performance and Parallel Programming
Other Resources
Part 2 Probability
Introduction
Projection Methods
Conditional Expectation as Projection
Conditional Expectation and Mean Squared Error
Worked Examples of Conditional Expectation and Mean Square Error Optimization
Useful Distributions
Information Entropy
Moment Generating Functions
Monte Carlo Sampling Methods
Useful Inequalities
Part 3 Statistics
Python Modules for Statistics
Types of Convergence
Estimation Using Maximum Likelihood
Hypothesis Testing and P-Values
Confidence Intervals
Linear Regression
Maximum A-Posteriori
Robust Statistics
Bootstrapping
Gauss Markov
Nonparametric Methods
Survival Analysis
Part 4 Machine Learning
Python Machine Learning Modules
Theory of Learning
Decision Trees
Boosting Trees
Logistic Regression
Generalized Linear Models
Regularization
Support Vector Machines
Dimensionality Reduction
Clustering
Ensemble Methods
Deep Learning
Notation
References
Index.
Other Format:
Printed edition:
ISBN:
978-3-030-18545-9
9783030185459
OCLC:
1112397802
Access Restriction:
Restricted for use by site license.

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