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Linear and Nonlinear Regression in Artificial Intelligenc VOL-2

Mathematical Foundations, Regularization Techniques & Predictive Modeling

This book is 100% completeLast updated on 2026-06-03

Prediction is only the beginning.

Modern AI systems must explain their predictions, quantify uncertainty, scale to massive datasets, and operate reliably in real-world environments.

How do Support Vector Regression models capture nonlinear patterns?

How do Bayesian methods estimate uncertainty?

How do Gaussian Processes make predictions with confidence intervals?

How can complex AI models remain interpretable and trustworthy?

In this advanced second volume, Anshuman Mishra explores the cutting-edge regression techniques that power intelligent prediction systems across machine learning, data science, healthcare, finance, robotics, and scientific research.

Discover how modern Artificial Intelligence transforms data into reliable, explainable, and scalable predictions.

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About the Book

Linear and Nonlinear Regression in Artificial Intelligence

Mathematical Foundations, Regularization Techniques & Predictive Modeling (Vol-II)

Artificial Intelligence is increasingly driven by predictive models capable of learning complex patterns, quantifying uncertainty, scaling to massive datasets, and delivering interpretable insights. While traditional regression methods provide the foundations of predictive modeling, modern AI systems demand far more sophisticated approaches capable of handling nonlinear relationships, uncertainty, high-dimensional data, and real-world deployment challenges.

Linear and Nonlinear Regression in Artificial Intelligence: Mathematical Foundations, Regularization Techniques & Predictive Modeling (Vol-II) continues the journey begun in Volume I by exploring advanced regression techniques that power contemporary machine learning and AI systems.

This volume moves beyond classical regression models into the domains of kernel-based learning, neural network regression, Bayesian inference, Gaussian Process Regression, explainable AI, large-scale optimization, and real-world predictive analytics.

Readers will develop a comprehensive understanding of:

• Support Vector Regression (SVR)

• Kernel-Based Regression Models

• Neural Network Regression and Deep Learning

• Bayesian Regression Techniques

• Gaussian Process Regression (GPR)

• Uncertainty-Aware Predictive Modeling

• Regression for Big Data Systems

• Distributed and Online Learning

• Explainable AI (XAI) for Regression Models

• SHAP and LIME Interpretability Techniques

• Real-World AI Applications

• End-to-End Machine Learning Projects

• Industry-Oriented Case Studies

• Interview Preparation and Research Trends

Unlike many machine learning books that focus primarily on software implementation, this volume emphasizes the mathematical intuition, optimization principles, probabilistic reasoning, and practical deployment strategies behind advanced regression systems.

Through rigorous explanations, practical examples, Python implementations, case studies, and modern AI applications, readers gain the ability to design, evaluate, interpret, and deploy predictive models across diverse domains including healthcare, finance, computer vision, natural language processing, climate science, and engineering.

Whether you are a student, researcher, data scientist, AI engineer, or analytics professional, this volume provides the advanced knowledge necessary to build intelligent prediction systems in today's AI-driven world.

Who Should Read This Book?

• Artificial Intelligence and Machine Learning Engineers

• Data Scientists and Analytics Professionals

• BCA, MCA, B.Tech, M.Tech and Data Science Students

• Researchers and PhD Scholars

• Predictive Analytics Professionals

• Financial and Risk Modeling Experts

• Healthcare AI Practitioners

• Software Engineers working on AI systems

What You Will Learn

✔ Advanced kernel-based regression techniques

✔ Deep learning models for regression tasks

✔ Bayesian and probabilistic predictive modeling

✔ Gaussian Process Regression and uncertainty estimation

✔ Large-scale machine learning systems

✔ Explainable AI and model interpretability

✔ Real-world AI deployment strategies

✔ Modern research directions in regression and predictive analytics

Why Volume II Matters

Modern AI applications require more than accurate predictions. They require scalable models, uncertainty estimation, transparency, fairness, and interpretability.

The advanced techniques presented in this volume provide the foundation for next-generation predictive systems used in autonomous technologies, financial forecasting, healthcare diagnostics, intelligent decision support systems, and scientific discovery.

For readers seeking to move beyond traditional regression and master modern predictive AI systems, this volume offers a comprehensive roadmap from advanced algorithms to practical deployment

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Author

About the Author

Anshuman Mishra

Anshuman Kumar Mishra, M.Tech (Computer Science) Assistant Professor, Doranda College, Ranchi University

Prolific Author of 50+ Books on AI, Machine Learning & Computer Science | 20+ Years Experience

Anshuman Kumar Mishra is a dedicated educator, researcher, and highly prolific author with over 20 years of experience in Computer Science and Information Technology. Holding an M.Tech in Computer Science from BIT Mesra, he brings a rare combination of academic depth and practical teaching expertise.

Currently serving as Assistant Professor at Doranda College under Ranchi University, he has mentored thousands of students, helping them build strong foundations in programming, data science, and artificial intelligence. His student-centric teaching style emphasizes conceptual clarity, hands-on practice, and real-world application.

Anshuman is a prolific author with more than 50 books published across a wide spectrum of computer science and emerging technology domains. From foundational programming languages to advanced topics in Artificial Intelligence, Machine Learning, Reinforcement Learning, Decision Theory, and Computer Vision — his books are widely appreciated by students, educators, and professionals for their clear explanations, strong theoretical foundation, and practical approach.

His extensive body of work reflects his deep commitment to making complex subjects accessible and meaningful for learners at all levels. He is particularly recognized for creating well-structured learning paths that help readers progress from beginner to advanced levels with confidence.

Driven by the mission to democratize quality technical education, Anshuman continues to write and update books that bridge the gap between academic theory and industry practice.

When not teaching or writing, he actively follows and explores new developments in AI, Quantum Machine Learning, and Ethical Intelligence systems.

Contents

Table of Contents

Book Title Linear and Nonlinear Regression in Artificial Intelligence: Mathematical Foundations, Regularization Techniques & Predictive Modeling VOL-2 ________________________________________ Table of Contents ________________________________________ ________________________________________ Unit–IV: Advanced Nonlinear Regression in AI Chapter 11: Support Vector Regression (SVR) 1-20 11.1 Linear SVR 11.2 Kernel SVR (RBF, Polynomial, Sigmoid) 11.3 Epsilon-Insensitive Loss Function 11.4 Practical Examples Chapter 12: Neural Network Regression Models 21-45 12.1 Linear Unit & Perceptron 12.2 MLP Regression 12.3 Activation Functions 12.4 Backpropagation Mathematics 12.5 Deep Learning Models for Regression 12.6 Dropout & Regularization ________________________________________ Unit–V: Probabilistic, Bayesian, and Modern Regression Models Chapter 13: Bayesian Regression 46-69 13.1 Priors & Posterior 13.2 Bayesian Linear Regression 13.3 MAP vs. MLE 13.4 Bayesian Ridge & Lasso 13.5 Hierarchical Bayesian Models Chapter 14: Gaussian Process Regression (GPR) 70-87 14.1 Kernel Functions 14.2 Covariance Matrices 14.3 Predictions with Uncertainty 14.4 GPR in Optimization & Robotics ________________________________________ Unit–VI: Regression in Real-World AI & Big Data Systems Chapter 15: Regression with Large Datasets 88-103 15.1 Stochastic Gradient Descent (SGD) 15.2 Mini-Batch Optimization 15.3 Online Learning 15.4 Distributed Regression using Spark ML Chapter 16: Explainability in Regression Models 104-120 16.1 SHAP & LIME 16.2 Feature Importance 16.3 Interpretable Regression Models 16.4 Ethical Use Chapter 17: Applications of Regression in AI 121-148 17.1 Computer Vision 17.2 NLP & Text Analytics 17.3 Healthcare Predictive Models 17.4 Finance & Stock Market 17.5 Time-Series Modeling & Forecasting 17.6 Engineering, Climate & Scientific Research ________________________________________ Unit–VII: Practical Implementation with Python & Case Studies Chapter 18: Implementing Regression Models in Python 149-163 18.1 Numpy, Pandas, Matplotlib 18.2 Scikit-Learn Implementation 18.3 TensorFlow & PyTorch Examples 18.4 Hyperparameter Tuning (Optuna, GridSearchCV, RandomSearch) Chapter 19: End-to-End Regression Projects 164-193 19.1 Housing Price Prediction 19.2 Customer Churn Prediction 19.3 Sentiment Score Regression 19.4 Medical Risk Prediction Model 19.5 Energy Consumption Forecasting Chapter 20: Interview Questions & Research Directions 194-202 20.1 Top 100 Interview Questions 20.2 Common Errors & Debugging Tips 20.3 Current Research Trends 20.4 Future of Regression in AI

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