A comprehensive roadmap from mathematical foundations through advanced ML techniques. You will gain the skills to understand, implement, and deploy machine learning models for real-world problems.
§ SYLLABUS
- 01Linear Algebra Essentials
Understand vectors, matrices, matrix operations, eigenvalues, and decompositions that underpin nearly every ML algorithm.
- 02Probability and Statistics
Learn probability distributions, Bayes' theorem, expectation, variance, and hypothesis testing — the language ML uses to reason about uncertainty.
- 03Calculus and Optimization
Understand derivatives, gradients, the chain rule, and how optimization algorithms find the best parameters for a model.
- 01The ML Landscape
Survey the three main paradigms — supervised, unsupervised, and reinforcement learning — and understand when each applies.
- 02Data Preprocessing and Feature Engineering
Learn how to clean, normalize, encode, and transform raw data into features that ML models can learn from effectively.
- 03Linear Regression
Build your first predictive model: understand the cost function, closed-form solution, and gradient descent for fitting a line to data.
- 04Logistic Regression and Classification
Extend regression to classification problems using the sigmoid function, cross-entropy loss, and decision boundaries.
- 05Model Evaluation and Metrics
Learn accuracy, precision, recall, F1, ROC-AUC, and cross-validation to measure how well your model truly performs.
- 06Bias-Variance Tradeoff
Understand why models underfit or overfit, and learn regularization techniques (L1, L2) to find the sweet spot.
- 01Decision Trees and Random Forests
Learn how tree-based models split data to make predictions, and how ensembling many trees into a forest reduces overfitting.
- 02Support Vector Machines
Understand maximum-margin classifiers, the kernel trick, and how SVMs handle non-linearly separable data.
- 03K-Nearest Neighbors
Learn instance-based learning where predictions come from the closest training examples, and understand the curse of dimensionality.
- 04Naive Bayes Classifiers
Apply Bayes' theorem with a strong independence assumption for fast, surprisingly effective text and spam classification.
- 05Gradient Boosting (XGBoost, LightGBM)
Understand how sequentially adding weak learners that correct previous errors creates state-of-the-art models for tabular data.
- 01Clustering (K-Means, DBSCAN)
Discover natural groups in data without labels using distance-based and density-based clustering algorithms.
- 02Dimensionality Reduction (PCA, t-SNE)
Learn to compress high-dimensional data into fewer dimensions for visualization and noise removal while preserving structure.
- 03Anomaly Detection
Identify unusual patterns in data using statistical methods, isolation forests, and autoencoders for fraud detection and monitoring.
- 01Neural Networks and Backpropagation
Understand how layers of neurons learn representations through forward passes and gradient-based weight updates.
- 02Convolutional Neural Networks (CNNs)
Learn how convolution, pooling, and hierarchical feature extraction enable machines to understand images and spatial data.
- 03Recurrent Networks and LSTMs
Process sequential data like text and time series using networks with memory, and understand vanishing gradients and gating mechanisms.
- 04Transformers and Attention
Understand self-attention, positional encoding, and why the Transformer architecture revolutionized NLP and beyond.
- 05Transfer Learning and Fine-Tuning
Leverage pre-trained models to solve new tasks with less data by adapting learned representations to your specific domain.
- 01ML Pipelines and Experiment Tracking
Structure reproducible workflows using tools like scikit-learn pipelines, MLflow, and Weights & Biases to manage experiments systematically.
- 02Hyperparameter Tuning
Explore grid search, random search, and Bayesian optimization to find the model configuration that maximizes performance.
- 03Model Deployment and Serving
Move models from notebooks to production using REST APIs, batch inference, and model serving frameworks.
- 04Fairness, Bias, and Responsible AI
Recognize how bias enters datasets and models, and learn techniques to measure and mitigate unfair outcomes.