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Embodied AI: From Math to Motion

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An educational series exploring the foundations of embodied artificial intelligence - systems that perceive, reason, and act in the physical world.

Overview

This repository contains a comprehensive learning path that connects mathematical foundations to real-world robotic systems. Using a quadruped robot as a running example, the material progresses from basic machine learning concepts through to autonomous navigation and control.

Structure

The content is organized into three phases:

Phase I: Foundations
Core concepts in machine learning—data representations, neural networks, optimization algorithms, and training methodologies.

Phase II: Building Intelligence
Advanced topics including computer vision, natural language processing, multimodal learning, and agent architectures that enable perception, language understanding, and planning.

Phase III: Integration & Reality
Reinforcement learning for locomotion, bridging simulation and real-world deployment, and complete system integration.

Purpose

This material is designed for students and practitioners seeking to understand how modern AI systems - from language models to autonomous robots - work from the ground up. Each section builds on previous concepts, creating a coherent path from theoretical foundations to practical implementation.

Topics Covered

  • Neural networks and deep learning fundamentals
  • Self-supervised learning and foundation models
  • Computer vision (CNNs, Vision Transformers, segmentation)
  • Natural language processing and large language models
  • Instruction following and alignment techniques
  • Multimodal perception and reasoning
  • Agent systems and planning
  • Reinforcement learning for continuous control
  • Sim-to-real transfer and robustness

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