The Geometry of Intelligence: Unpacking Superposition, Polysemanticity, and the Architecture of Sparse Autoencoders in Large Language Models

1. Introduction: The Interpretability Crisis and the High-Dimensional Mind The rapid ascent of Large Language Models (LLMs) has ushered in a distinct paradox in the field of artificial intelligence: as Read More …

The Architectural Lottery: A Comprehensive Analysis of Sparse Subnetworks, Optimization Dynamics, and the Future of Neural Efficiency

1. Introduction: The Paradox of Overparameterization In the contemporary landscape of deep learning, a singular, pervasive dogma has dictated the design of neural architectures: scale is the primary driver of Read More …

The Anatomy of Algorithmic Thought: A Comprehensive Treatise on Circuit Discovery, Reverse Engineering, and Mechanistic Interpretability in Transformer Models

Executive Summary The rapid ascendancy of Transformer-based Large Language Models (LLMs) has outpaced our theoretical understanding of their internal operations. While their behavioral capabilities are well-documented, the underlying computational mechanisms—the 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 Geometry of Intelligence: Unpacking Superposition, Polysemanticity, and the Architecture of Sparse Autoencoders in Large Language Models

1. Introduction: The Interpretability Crisis and the High-Dimensional Mind The rapid ascent of Large Language Models (LLMs) has ushered in a distinct paradox in the field of artificial intelligence: as Read More …

The Architectural Lottery: A Comprehensive Analysis of Sparse Subnetworks, Optimization Dynamics, and the Future of Neural Efficiency

1. Introduction: The Paradox of Overparameterization In the contemporary landscape of deep learning, a singular, pervasive dogma has dictated the design of neural architectures: scale is the primary driver of Read More …

The Anatomy of Algorithmic Thought: A Comprehensive Treatise on Circuit Discovery, Reverse Engineering, and Mechanistic Interpretability in Transformer Models

Executive Summary The rapid ascendancy of Transformer-based Large Language Models (LLMs) has outpaced our theoretical understanding of their internal operations. While their behavioral capabilities are well-documented, the underlying computational mechanisms—the Read More …

Knowledge Distillation: Architecting Efficient Intelligence by Transferring Knowledge from Large-Scale Models to Compact Student Networks

Section 1: The Principle and Genesis of Knowledge Distillation 1.1. The Imperative for Model Efficiency: Computational Constraints in Modern AI The field of artificial intelligence has witnessed remarkable progress, largely Read More …

The Inscrutable Machine: Proving the Theoretical Limits of AI Interpretability

Introduction: The Quest for Understanding in an Age of Opaque Intelligence The rapid ascent of artificial intelligence (AI) presents a central paradox of the 21st century: as our computational creations Read More …