The CUDA Ecosystem: A Comprehensive Analysis of Architecture, Tooling, and Development Methodology

1. Introduction: The Evolution of General-Purpose GPU Computing The trajectory of high-performance computing (HPC) was fundamentally altered with the introduction of the Compute Unified Device Architecture (CUDA) by NVIDIA in Read More …

The Paradigm Shift in Statistical Learning: A Comprehensive Analysis of Double Descent and Benign Overfitting

1. Introduction: The Crisis in Classical Statistical Learning Theory For the latter half of the 20th century, the theoretical understanding of machine learning and statistical estimation was dominated by the Read More …

The Mechanics of Alignment: A Comprehensive Analysis of RLHF, Direct Preference Optimization, and Parameter-Efficient Architectures in Large Language Models

1. Introduction: The Post-Training Paradigm and the Alignment Challenge The contemporary landscape of artificial intelligence has been irrevocably altered by the emergence of Large Language Models (LLMs) trained on datasets Read More …

The Infinite-Width Limit: A Comprehensive Analysis of Neural Tangent Kernels, Feature Learning, and Scaling Laws

1. Introduction: The Unreasonable Effectiveness of Overparameterization The theoretical understanding of deep neural networks has undergone a fundamental transformation over the last decade. Historically, statistical learning theory relied on concepts Read More …

The Mechanics of Alignment: A Comprehensive Analysis of RLHF, Direct Preference Optimization, and Parameter-Efficient Architectures in Large Language Models

1. Introduction: The Post-Training Paradigm and the Alignment Challenge The contemporary landscape of artificial intelligence has been irrevocably altered by the emergence of Large Language Models (LLMs) trained on datasets Read More …

The Thermodynamics of Intelligence: A Comprehensive Analysis of Neural Quantization, Compression Methodologies, and the Fundamental Limits of Generative Models

1. Introduction: The Efficiency Paradox in the Era of Massive Scaling The trajectory of artificial intelligence in the mid-2020s is defined by a distinct and growing tension between capability and Read More …

The Cognitive Enterprise: A Comprehensive Analysis of Agentic Workflows and Retrieval-Augmented Generation Architectures

1. Introduction: The Paradigm Shift from Static Inference to Autonomous Orchestration The integration of Large Language Models (LLMs) into enterprise infrastructure has precipitated a fundamental transformation in computational architecture, marking Read More …