Optimization Techniques in Artificial Intelligence: Foundations, Mathematical Models, Algorithms, and Real-World Applications (Vol-1)

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Optimization Techniques in Artificial Intelligence: Foundations, Mathematical Models, Algorithms, and Real-World Applications (Vol-1) is a comprehensive textbook that introduces the mathematical foundations and practical optimization techniques powering modern Artificial Intelligence. Covering linear programming, convex optimization, gradient descent, optimization algorithms, machine learning, and deep learning, this book provides step-by-step explanations, real-world examples, illustrations, and AI applications. It is an ideal resource for undergraduate, postgraduate, researchers, AI professionals, data scientists, and educators seeking a strong foundation in optimization methods used in intelligent systems.

Description

Optimization lies at the heart of modern Artificial Intelligence. Every intelligent system—from machine learning models and deep neural networks to robotics, recommendation systems, and autonomous agents—depends on optimization techniques to achieve the best possible performance.

Optimization Techniques in Artificial Intelligence (Vol-1) is a comprehensive and practical guide designed to help students, researchers, educators, and AI professionals understand the mathematical principles and computational algorithms that drive intelligent decision-making.

Starting from the fundamental concepts of optimization, the book gradually introduces linear programming, simplex methods, convex optimization, gradient-based algorithms, and optimization techniques used in deep learning. Every chapter combines mathematical theory with practical AI applications, enabling readers to bridge the gap between academic concepts and real-world implementation.

This volume emphasizes conceptual clarity, mathematical rigor, and practical relevance, making it suitable both as a university textbook and as a professional reference.


What You Will Learn

✔ Foundations of optimization in Artificial Intelligence

✔ Mathematical tools for optimization

✔ Linear algebra and optimization fundamentals

✔ Linear Programming and optimization modeling

✔ Simplex and Interior Point algorithms

✔ Duality Theory and Sensitivity Analysis

✔ Convex Optimization principles

✔ Convex optimization algorithms

✔ Gradient Descent methods

✔ Stochastic Gradient Descent (SGD)

✔ Mini-Batch Gradient Descent

✔ Momentum Optimization

✔ Nesterov Accelerated Gradient

✔ AdaGrad

✔ RMSProp

✔ Adam Optimizer

✔ AdamW

✔ Optimization landscapes

✔ Learning rate optimization

✔ Loss functions in Machine Learning

✔ Regularization techniques

✔ Optimization in Deep Learning

✔ Practical AI optimization case studies


Key Features

• Comprehensive coverage of AI optimization fundamentals

• Easy-to-understand mathematical explanations

• Step-by-step algorithms and derivations

• Numerous diagrams and conceptual illustrations

• Practical AI examples and real-world applications

• Machine Learning optimization techniques

• Deep Learning optimization methods

• Convex optimization with intuitive explanations

• Linear Programming applications

• University-level textbook

• Research-oriented content

• Industry-relevant optimization techniques

• Ideal for self-learning and academic courses


Table of Contents Highlights

Part I – Foundations of Optimization and AI

  • Introduction to Optimization
  • Optimization in Intelligent Systems
  • Mathematical Foundations
  • Linear Algebra
  • Probability for Optimization
  • Convex Sets
  • Optimization Formulation

Part II – Linear Programming

  • Linear Programming Fundamentals
  • Objective Functions
  • Constraints
  • Simplex Algorithm
  • Interior Point Methods
  • Duality Theory
  • Sensitivity Analysis

Part III – Convex Optimization

  • Convex Functions
  • Convex Sets
  • KKT Conditions
  • Lagrangian Optimization
  • Newton Methods
  • Coordinate Descent
  • Convex Machine Learning Models
  • Support Vector Machines
  • Regularization

Part IV – Gradient-Based Optimization

  • Gradient Descent
  • Stochastic Gradient Descent
  • Mini-Batch Optimization
  • Momentum
  • Nesterov
  • AdaGrad
  • RMSProp
  • Adam
  • AdamW
  • Loss Functions
  • Multi-objective Optimization

Who Should Read This Book?

This book is ideal for:

  • Undergraduate Students
  • Postgraduate Students
  • PhD Scholars
  • AI Researchers
  • Machine Learning Engineers
  • Data Scientists
  • Deep Learning Practitioners
  • Computer Science Faculty
  • Software Engineers
  • AI Professionals
  • Data Analytics Students
  • Research Laboratories
  • University Libraries

Why This Book?

Unlike books that focus only on mathematical theory or only on programming implementation, this volume combines both perspectives. Readers gain a deep understanding of optimization concepts while learning how these methods power modern Artificial Intelligence systems.

Whether you are studying Machine Learning, Deep Learning, Operations Research, Data Science, or Artificial Intelligence, this book provides the essential optimization knowledge required for designing efficient and intelligent algorithms.


Suitable For

  • B.Tech
  • BCA
  • MCA
  • B.Sc. Computer Science
  • M.Tech
  • M.Sc. Computer Science
  • Artificial Intelligence Courses
  • Machine Learning Courses
  • Data Science Programs
  • Research Projects
  • Competitive Exam Preparation
  • Academic Reference
  • Professional Learning

Book Details

Title: Optimization Techniques in Artificial Intelligence

Subtitle: Foundations, Mathematical Models, Algorithms, and Real-World Applications (Vol-1)

Language: English

Subject: Artificial Intelligence, Machine Learning, Mathematical Optimization

Level: Beginner to Advanced

Category: AI | Machine Learning | Data Science | Optimization | Computer Science

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