Complexity Explorer Courses

Music Computation and Complexity: Music as Data

Explore the relationship between music, computation, and complexity through data analysis in this tutorial by Marco Buongiorno Nardelli from Santa Fe Institute.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Music Computation and Complexity: Geometry

Explore the intersection of music, computation, and complexity through geometric principles in this tutorial by Marco Buongiorno Nardelli from Santa Fe Institute.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Music Computation and Complexity: Xenakis

Explore the intersection of music, computation, and complexity through the lens of Xenakis's work in this segment from Marco Buongiorno Nardelli's tutorial.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Music Computation and Complexity: Patterns

Explore the relationship between music, computation, and complexity through pattern analysis in this tutorial by Marco Buongiorno Nardelli.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

A Visual Approach to Nonlinear Dynamics

Explore nonlinear dynamics through visual geometric approaches, covering 1D/2D/3D systems, bifurcations, chaos, and real-world applications like species competition and Lorenz models.

• YouTube
• 4 hours 40 minutes
• Self-Paced
• Free Video

Agent-Based Models with Python - An Introduction to Mesa

Master agent-based modeling using Python's Mesa library through hands-on Sugarscape implementation, covering agent creation, movement, trading, and data collection techniques.

• YouTube
• 4 hours 45 minutes
• Self-Paced
• Free Video

Computation in Complex Systems

Explore computational complexity theory through algorithms, P vs NP problems, phase transitions, and universal computation models like Turing machines and cellular automata.

• YouTube
• 6 hours 46 minutes
• Self-Paced
• Free Video

Introduction to Differential Equations

Master the fundamentals of differential equations through derivatives, computational methods, and qualitative solutions with self-guided quizzes and practical applications.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Functions and Iterations in Dynamical Systems and Chaos

Explore the mathematical foundations of dynamical systems through functions, iterations, orbits, attractors, and stability concepts in this technical introduction.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Maximum Entropy Methods Tutorial

Discover maximum entropy methods for understanding probability distributions through practical examples including taxicab problems and real-world modeling applications.

• YouTube
• 1 hour 46 minutes
• Self-Paced
• Free Video

Nonlinear Dynamics - Introduction to Chaos Theory and Complex Systems

Explore chaotic systems, bifurcations, attractors, and fractal dimensions through mathematical modeling, ODE solving, and time series analysis techniques.

• YouTube
• 9 hours 43 minutes
• Self-Paced
• Free Video

Dynamical Systems and Chaos

Explore mathematical chaos theory, from basic functions to strange attractors, covering bifurcations, the butterfly effect, and pattern formation in complex systems.

• YouTube
• 17 hours 40 minutes
• Self-Paced
• Free Video

Fundamentals of Machine Learning

Explore machine learning types, supervised learning geometry, neural networks, and AI game applications through practical examples and advanced concepts.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Game Theory Tutorial - Static Games

Master strategic decision-making through Nash equilibrium, dominant strategies, mixed strategies, and Bayesian games with real-world applications in cybersecurity and commons dilemmas.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Introduction to Renormalization

Discover mathematical techniques for simplifying complex systems by systematically removing irrelevant details while preserving essential physics across scales.

• YouTube
• 4 hours 36 minutes
• Self-Paced
• Free Video