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Probabilistic Modelling for Advanced Data Analysis

Autor Amit Kumar Tyagi, Soumya Mazumdar
en Limba Engleză Paperback – 2027
Probabilistic Modelling for Advanced Data Analysis provides a practical and rigorous guide for data practitioners to effectively implement probabilistic models in real-world scenarios. The book strikes a balance between high-level intuition and technical derivations, offering step-by-step explanations, real-world case studies, and Python implementation examples. The authors offer specific solutions that include modeling and quantifying uncertainty in data-driven decision-making, applying Bayesian inference to real-world problems and implementing scalable probabilistic models for large-scale datasets, all of which contribute to explainable and trustworthy AI.

This book presents readers with theoretical foundations and practical applications of probabilistic modeling, providing a structured approach for researchers, data scientists, and industry professionals. It meets the increasing demand for uncertainty-aware AI models, Bayesian inference, and probabilistic graphical models across various fields of research.

  • Includes real-world case studies from various industries and step-by-step Python implementations of probabilistic models
  • Presents visual explanations, graphical representations, easy-to-follow analogies, and a focus on Bayesian methods, uncertainty quantification, and probabilistic inference
  • Features approximate inference techniques, probabilistic deep learning approaches for AI applications, and strategies for handling high-dimensional data with probabilistic models
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Specificații

ISBN-13: 9780443452109
ISBN-10: 0443452105
Pagini: 400
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE

Cuprins

Part I: Foundations of Probability
1. Introduction to Probabilistic Modeling
2. Basic Probability Concepts
3. Random Variables and Probability Distributions
4. Common Probability Distributions

Part II: Probabilistic Thinking in Science and Engineering
5. Joint, Marginal, and Conditional Probabilities
6. Bayesian Thinking for Scientists and Engineers
7. Markov Chains and Stochastic Processes
8. Monte Carlo Methods and Simulation
9. Parameter Estimation and Maximum Likelihood

Part III: Practical Applications of Probabilistic Models
10. Uncertainty Quantification in Engineering
11. Reliability Engineering and Failure Probabilities
12. Bayesian Inference in Science and Engineering
13. Time Series and Probabilistic Forecasting

Part IV: Advanced Topics and Case Studies
14. Probabilistic Graphical Models
15. Hidden Markov Models (HMMs) and Applications
16. Optimization Under Uncertainty

Part V: Advanced Probability and Statistical Inference
17. Measure Theory and Probability Foundations
18. Information Theory and Entropy
19. Bayesian Inference and Hierarchical Models
19.1. Bayesian conjugate priors
20. Stochastic Differential Equations (SDEs)
21. Extreme Value Theory and Rare Event Modeling

Part VI: Probabilistic Machine Learning and AI
22. Gaussian Processes for Regression and Classification
23. Variational Inference and Approximate Bayesian Computation (ABC)
24. Deep Probabilistic Models and Bayesian Neural Networks
25. Probabilistic Graphical Models (PGMs)
26. Reinforcement Learning with Probabilistic Models

Part VII: Advanced Engineering and Scientific Applications
27. Reliability Theory and Probabilistic Risk Assessment (PRA)
28. Probabilistic Optimization and Decision Theory
29. Uncertainty Quantification in Scientific Computing

Part VIII: Cutting-Edge Topics and Future Directions
30. Random Graphs and Network Science
31. Nonparametric Bayesian Methods
32. Probabilistic Programming and Automated Inference
34. Case Studies in Science and Engineering
35. Conclusion and Future of Probabilistic Modeling in Science and Engineering