Machine Learning & Artificial Intelligence · Artificial Intelligence & Deep Learning

Artificial Intelligence · Advanced Topics and Mathematical Foundations

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Generative Models · Non-Convex Optimization · Statistical Learning

Overview

Topics covered

  • Introduction
  • Artificial Intelligence: Advanced Topics and Mathematical Foundations
  • Optimization and Dynamics in High Dimensions
  • Stochastic Gradient Dynamics Algorithms (SGD and AdamW)
  • Attention Mechanics and Transformers
  • Formulation of Attention with Escalation by Point Product

Related concepts

Main connections

  • Variance & standard deviation
  • Neural networks & deep learning
  • Linear algebra & matrices
  • Calculus & differentiation
  • Self-attention & Transformer architectures
  • Normal (Gaussian) distribution

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

12‖∇ℒ(θ)‖2≥μ(ℒ(θ)−ℒ*)∀θ∈Ω
View LaTeX source\frac{1}{2} \|\nabla \mathcal{L}(\theta)\|^2 \ge \mu (\mathcal{L}(\theta) - \mathcal{L}^*) \quad \forall \theta \in \Omega