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Probability and Statistics for Computer Science (Paperback, Softcover reprint of the original 1st ed. 2018)
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Probability and Statistics for Computer Science (Paperback, Softcover reprint of the original 1st ed. 2018)
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This textbook is aimed at computer science undergraduates late in
sophomore or early in junior year, supplying a comprehensive
background in qualitative and quantitative data analysis,
probability, random variables, and statistical methods, including
machine learning. With careful treatment of topics that fill the
curricular needs for the course, Probability and Statistics for
Computer Science features: * A treatment of random variables and
expectations dealing primarily with the discrete case. * A
practical treatment of simulation, showing how many interesting
probabilities and expectations can be extracted, with particular
emphasis on Markov chains. * A clear but crisp account of simple
point inference strategies (maximum likelihood; Bayesian inference)
in simple contexts. This is extended to cover some confidence
intervals, samples and populations for random sampling with
replacement, and the simplest hypothesis testing. * A chapter
dealing with classification, explaining why it's useful; how to
train SVM classifiers with stochastic gradient descent; and how to
use implementations of more advanced methods such as random forests
and nearest neighbors. * A chapter dealing with regression,
explaining how to set up, use and understand linear regression and
nearest neighbors regression in practical problems. * A chapter
dealing with principal components analysis, developing intuition
carefully, and including numerous practical examples. There is a
brief description of multivariate scaling via principal coordinate
analysis. * A chapter dealing with clustering via agglomerative
methods and k-means, showing how to build vector quantized features
for complex signals. Illustrated throughout, each main chapter
includes many worked examples and other pedagogical elements such
as boxed Procedures, Definitions, Useful Facts, and Remember This
(short tips). Problems and Programming Exercises are at the end of
each chapter, with a summary of what the reader should know.
Instructor resources include a full set of model solutions for all
problems, and an Instructor's Manual with accompanying presentation
slides.
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