Comrite Learning

Intermediate
USAAIO
High School Professional Technology

USAAIO Foundations: Machine Learning & Data Analysis

benjamin benjamin
Overview
Curriculum
  • 13 Sections
  • 137 Lessons
  • 8 Quizzes
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Introduction to AI and ML
7 Lessons1 Quiz
  1. Introduction to AI and Machine Learning
  2. 📚 The History of AI/Machine Learning
  3. Advanced topic: Marvin Minsky's claim trigger the first AI Winter
  4. 📘The Big Paradigm Shift: From “Coding Rules” to “Learning from Data”
  5. Overview of Machine Learning Workflow
  6. 🧠 Building Machine Learning Solutions with Responsible AI
  7. 🤝 Advanced topic: Fairness in Machine Learning
  8. Some questions for AI/ML
Math ( Statics ) Foundation
21 Lessons4 Quizzes
  1. 🧠 What is a Function?
  2. Homework: Functions
  3. 🎲 Introduction to Probability
  4. 🎓 Basic Rules of Probability
  5. What is Conditional Probability?
  6. Advanced topic: joint probability P(A, B) or P( A && B)
  7. Homework: Table and Probability
  8. 📘 Understanding Bayes’ Theorem
  9. 🎯Advanced topic: Frequentist vs Bayesian Probability / Inference
  10. HOMEWORK: Baye's Theorem
  11. 🎲 Uniform Distribution: Discrete vs. Continuous
  12. 📊 Probability Distribution & Gaussian Distribution
  13. 📘 Mean and Variance
  14. 📊 Advanced topic: Covariance and Correlation
  15. 📘 Logarithms introduction
  16. 📘 Entropy, Cross-Entropy, and KL Divergence
  17. Advanced topic: 📘 Entropy and Information Bits
  18. Advanced topic: Why do we use log(1/p) (or −log(p)) to define information in bits? Why not just use 1/p?
  19. Advanced topic: Mutual information (MI)
  20. Advanced topic: Universe, Maximum Entropy, and Distribution Shape: What Happens?
  21. 🔶 Advanced topic: Summary: Shannon Entropy vs. Thermodynamic Entropy
  22. Advanced topic: P/NP
  23. HOMEWORK: Entropy and KL
  24. 🧮 Linear Algebra Basics — Vectors, Matrices, and Matrix Operations
  25. Advanced topic: why KV divergence will not defined as H(Q) - H(P)?
Data Analysis
23 Lessons1 Quiz
  1. Introd Jupter
  2. Writing and Using Markdown in Jupyter Notebook
  3. VSCode and Jupternotebook
  4. 🧑‍🏫 Google Colab : How to Use It and Install Python Packages
  5. 🧮 LaTeX Math in colab
  6. 🎓 Google Colab Assignments
  7. 🧠 Matrix for Beginners — Understand Matrices and Use NumPy
  8. Analyzing Numerical Data with NumPy
  9. 🧠 Advanced topic: What is NumPy Broadcasting?
  10. 🎓Matrix Operations Using NumPy
  11. 🧠 Math for Understanding Pandas
  12. Analyzing Data Using Pandas
  13. Advanced topic: pandas.crosstab
  14. 🧠 NumPy vs. Pandas: When to Use Each?
  15. 📊 Math Concepts Behind Matplotlib Visualizations
  16. 🎓 Visualization with Matplotlib
  17. Visualization Using Seaborn
  18. 📊 Math Concepts Behind Exploratory Data Analysis (EDA)
  19. Exploratory Data Analysis
  20. Adanced topic: EDA and model selection/desgin
  21. Exploratory Data Analysis (EDA) for Housing Prices
  22. HOMEWORK : EDA ( Titanic data)
  23. 🏫 EDA Homework solution: Titanic Survival
  24. 🔍 Exploratory Data Analysis: Credit Card Fraud Detection
Machine Learning Fundamentals
10 Lessons
  1. 📘 Introduction to Types of Machine Learning and Common Algorithms
  2. Advanced topic: What is R² Score (R-squared)?
  3. 📘 Types of Machine Learning Problems (Based on Output)
  4. Advanced topic: Regression vs. Classification Problems with details
  5. 📘 How to Learn from Data in Machine Learning
  6. 🧠Advanced topic: Machine Learning Philosophies, Approaches
  7. ✅ Advanced topic: Why Can Machine Learning Be Treated as a Probability Problem?
  8. Advanced topic: What is difference between Statistical Learning and Machine Learning
  9. Dataset Splitting: Training, Test, and Validation
  10. Advanced topic: what happen if model perform poor on testing-dataset?
Supervised Learning - Regression
16 Lessons1 Quiz
  1. 📘 Supervised Learning
  2. 🤖 Getting Started with scikit-learn
  3. Advanced topic: sklearn techniques
  4. Supervised Learning: Linear Regression
  5. Advanced topic: Why Use Mean Squared Error (MSE) in Regression?
  6. 📘 How We Really Do Machine Learning (Supervised Learning Edition)
  7. 📘 Under the hood: Loss Functions in Machine Learning
  8. Advanced topic: cost(x) = x^2 + 2x +1, to find the minimum cost
  9. 🎓 Advanced topic: Gradient Descent
  10. Advanced topic: Numerical Gradient, Analytical Gradient, and Automatic Differentiation
  11. Advanced topic: MLE and MAP in Machine Learning
  12. 📘 How Loss Functions Connect with MLE, MAP, and Priors
  13. Advanced topic: Supervised learning generative and discriminative approach
  14. Regression using DecisionTree, RandomForest
  15. Advanced topic: How Does a Decision Tree Regressor Choose the Best Split?
  16. Advanced topic: Other regression algorithms
  17. 📚 Homework: Predicting Disease Progression (Diabetes Dataset Regression)
Supervised Learning - Classification
16 Lessons1 Quiz
  1. Supervised Learning – Classification
  2. 📊 Classification Model Evaluation
  3. 🧠 What Happens Inside model.fit() in Scikit-learn?
  4. Advanced topic: multi-category classification
  5. Advanced topic: class imbalance
  6. 🌟 What is the Loss Function for Logistic Regression (Logit)?
  7. Advanced topic: deep dive into classification with cross-entropy loss.
  8. Difference Between Logistic Regression and Linear Regression
  9. Naive Bayes Classifier: Detailed Explanation with Example
  10. 🧠 Naive Bayes Classifier in Python (with Real Dataset)
  11. 🔎 Advanced topic: What is TfidfVectorizer?
  12. 🔎 Advanced topic: What is MultinomialNB()?
  13. K-Nearest Neighbors (KNN) Algorithm
  14. 🌟 Advanced topic: What are Non-Parametric Methods in Machine Learning?
  15. 🎯 Advanced topic: What is Linear Discriminant Analysis (LDA)?
  16. Advanced topic: other classification algorithms
  17. HOMEWORK: Supervised Learning – Classification with Scikit-learn
Model evaluation
8 Lessons
  1. Model Evaluation: Performance Metrics and Error
  2. Understanding Bias and Variance
  3. Advanced topic: Understanding Variance More Deeply
  4. Overfitting, Underfitting
  5. False Positives, False Negatives, and AUC-ROC Curve
  6. Advanced topic: P-R curve vs RoC curve
  7. Hypothesis Testing
  8. Advanced topic: Relationship Between Hypothesis Testing and Machine Learning
Resampling methods
9 Lessons
  1. How to Sample from a Probability Distribution
  2. Advanced topic: Math details for PDF, CDF, Inverse CDF
  3. Resampling Methods
  4. Why Do We Need Cross-Validation?
  5. Bootstrap
  6. Advanced topic: why sample 100 points even if we only have 100 points in the original data.
  7. How Bootstrap Helps in Machine Learning Model Evaluation
  8. Advanced topic: Bootstrap vs. Cross-Validation
  9. Dimension Reduction Methods
Advanced ML
6 Lessons
  1. Supervised Learning – Decision Trees and Random Forests
  2. Advanced topic: Tree-Based Methods GBM, XGBoost
  3. Support Vector Machine (SVM)
  4. 📘 Markov Models in Machine Learning
  5. 📚 Common Modeling Principles (Organized by Philosophy)
  6. 📘 Maximum Entropy Model
unsupervisied learning
5 Lessons
  1. Unsupervised Learning: Clustering , K-Means
  2. Discussion: can unsupervised method handle regression and classification problem?
  3. 🧠 What is Semi-Supervised Learning?
  4. Advanced topic: why the Expectation-Maximization (EM) algorithm can estimate the correct parameters
  5. Other typical algorithms for unsupervised learning
Neural Networks and DNN
12 Lessons
  1. 🧠 Neural Networks & Deep Learning
  2. 📚 Advanced topic: Universal Approximation Theorem: Foundation of Neural Networks?
  3. 🤔 Should Machine Learning Be Treated as a Probability Problem or an Optimization Problem
  4. 🤖 Deep Learning Frameworks: PyTorch vs TensorFlow vs Keras vs ONNX
  5. 🎯Detailed analysis : Classify the XOR Dataset
  6. 🧠 Advanced topic: Backward Propagation
  7. Advanced topic: Backpropagation without a Closed-Form Formula,
  8. 🔢 Simple Neural Network for MNIST Classification (PyTorch)
  9. 🧠 CNN Tutorial with PyTorch (Image Classification)
  10. 🧠 Word-Level Text Classification with RNN in PyTorch
  11. 🔁 Transformer Tutorial in PyTorch (Text Classification)
  12. 🧠 Other Types of Neural Networks (Beyond DNN, RNN, CNN, Transformer)
Reenforcement Learning
1 Lesson
  1. Reinforcement Learning
AI in real world
3 Lessons
  1. Advanced AI Techniques
  2. AI in the Real World
  3. Practical AI Applications

USAAIO Foundations: Machine Learning & Data Analysis

This course is designed specifically to align with the USAAIO (USA Artificial Intelligence Olympiad) syllabus, providing students with the mathematical, algorithmic, and machine learning foundations required for AI competitions.

It is ideal for middle and high school students preparing for USAAIO, as well as motivated beginners who want a competition-first introduction to machine learning.

The course emphasizes:

  • Classical machine learning models

  • Data analysis and interpretation

  • Statistical and linear algebra intuition

  • Model evaluation and reasoning

Rather than focusing on engineering frameworks or deep learning systems, this course builds the core ML knowledge tested in USAAIO-style problems.

Who This Course Is For

  • USAAIO preparation students

  • Middle and high school students interested in AI competitions

  • Students with basic Python who want to move into ML

  • Learners planning to advance into USAAIO advanced topics or AI Olympiads

Prerequisites

  • Basic algebra

  • Introductory statistics (helpful but not required)

  • Some familiarity with Python

Learning Outcomes

By the end of this course, students will be able to:

  • Understand the core ML models in the USAAIO syllabus

  • Explain how and why ML algorithms work

  • Apply classical ML techniques to data problems

  • Evaluate models using appropriate metrics

  • Build a strong foundation for advanced USAAIO and AI competition study

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