Statistical machine learning: a unified framework
Material type:
TextSeries: Chapman & Hall/CRC: texts in statistical sciencePublication details: CRC Press 2020 Boca RatonDescription: xviii, 506p.: ill. Includes bibliographical references and indexISBN: - 9781138484696
- 006.310727 G6S8
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| 006.3101 W3E9 Everyday chaos: technology, complexity, and how we’re thriving in a new world of possibility | 006.31015195 A7C6 A computational approach to statistical learning | 006.31068403 K2M2 Machine learning for decision makers: cognitive computing fundamentals for better decision making | 006.310727 G6S8 Statistical machine learning: a unified framework | 006.312 A4D2 Data mining: the textbook | 006.312 A6D6 Doing data science in R: an introduction for social scientists | 006.312 B4M2 Machine learning for data streams: with practical examples in MOA |
Table of content
1 A statistical machine learning framework
2 Set theory for concept modeling
3 Formal machine learning algorithms
4 Linear algebra for machine learning
5 Matrix calculus for machine learning
6 Convergence of time-invariant dynamical systems
7 Batch learning algorithm convergence
8 Random vectors and random functions
9 Stochastic sequences
10 Probability models of data generation
11 Monte Carlo Markov chain algorithm convergence
12 Adaptive learning algorithm convergence
13 Statistical learning objective function design
14 Simulation methods for evaluating generalization
15 Analytic formulas for evaluating generalization
16 Model selection and evaluation
The recent rapid growth in the variety and complexity of new machine learning architectures requires the development of improved methods for designing, analyzing, evaluating, and communicating machine learning technologies. Statistical Machine Learning: A Unified Framework provides students, engineers, and scientists with tools from mathematical statistics and nonlinear optimization theory to become experts in the field of machine learning. In particular, the material in this text directly supports the mathematical analysis and design of old, new, and not-yet-invented nonlinear high-dimensional machine learning algorithms.
Features:
Unified empirical risk minimization framework supports rigorous mathematical analyses of widely used supervised, unsupervised, and reinforcement machine learning algorithms
Matrix calculus methods for supporting machine learning analysis and design applications
Explicit conditions for ensuring convergence of adaptive, batch, minibatch, MCEM, and MCMC learning algorithms that minimize both unimodal and multimodal objective functions
Explicit conditions for characterizing asymptotic properties of M-estimators and model selection criteria such as AIC and BIC in the presence of possible model misspecification
This advanced text is suitable for graduate students or highly motivated undergraduate students in statistics, computer science, electrical engineering, and applied mathematics. The text is self-contained and only assumes knowledge of lower-division linear algebra and upper-division probability theory. Students, professional engineers, and multidisciplinary scientists possessing these minimal prerequisites will find this text challenging yet accessible.
https://www.routledge.com/Statistical-Machine-Learning-A-Unified-Framework/Golden/p/book/9781138484696
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