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Chapter 1: Introduction to Optimization. Chapter 2: The Genesis of Gradient Descent: A Journey to the Minimum. Chapter 3: Advanced Optimizers: Beyond SGD's Horizon. Chapter 4: Concave Optimization Techniques. Chapter 5: Case Studies and Real-World Applications of Optimizers. Chapter 6: Key Recent Optimization Trends and Methods for Large Language Models. Chapter 7: The Architecture of Efficiency: A Unified Synthesis of Optimization in Modern Intelligent Systems. Epilogue: The Global Minimum Reached. |