Complete AI & Machine Learning Masterclass

📚 Topics Covered

• Why mathematics matters in AI/ML
• Basic arithmetic and algebra review
• Functions and graphs
• Introduction to vectors: geometric and algebraic view
• Vector operations: addition, scalar multiplication
• Dot product and geometric interpretation
• Vector norms (L1, L2, infinity norm)
• Matrices: definition and notation
• Matrix operations: addition, multiplication
• Matrix transpose and symmetric matrices

• Identity matrix and inverse matrices
• Matrix properties and rules
• Systems of linear equations
• Gaussian elimination
• Matrix rank and determinant (basics)

📚 Topics Covered

• Eigenvalues and eigenvectors: concept and computation
• Eigendecomposition
• Singular Value Decomposition (SVD)
• Principal Component Analysis (PCA) mathematics
• Vector spaces and subspaces
• Linear transformations
• Introduction to calculus: limits
• Derivatives: definition and rules
• Power rule, product rule, quotient rule, chain rule
• Partial derivatives

• Gradient: vector of partial derivatives
• Gradient descent concept
• Second derivatives and Hessian matrix
• Taylor series expansion
• Optimization basics: finding minima and maxima

📚 Topics Covered

• Probability fundamentals: sample space, events
• Probability rules: addition, multiplication
• Conditional probability and Bayes' theorem
• Independent vs dependent events
• Random variables: discrete and continuous
• Probability distributions: uniform, Bernoulli, binomial
• Normal (Gaussian) distribution: properties and applications
• Poisson distribution
• Exponential distribution
• Probability density functions (PDF)

• Cumulative distribution functions (CDF)
• Expected value (mean) and variance
• Standard deviation and standard error
• Covariance and correlation
• Law of large numbers and Central Limit Theorem

📚 Topics Covered

• Descriptive statistics: mean, median, mode
• Measures of spread: range, IQR, variance, std dev
• Hypothesis testing fundamentals
• Null and alternative hypotheses
• P-values and significance levels
• T-tests, Z-tests, Chi-square tests
• ANOVA (Analysis of Variance)
• Confidence intervals
• Statistical inference
• Python setup for ML: Anaconda, Jupyter

• NumPy for numerical computing
• Pandas for data manipulation
• Matplotlib and Seaborn for visualization
• Statistical computing with SciPy

📚 Topics Covered

• Advanced NumPy: broadcasting, vectorization
• NumPy for linear algebra
• NumPy random number generation
• Pandas DataFrames: advanced operations
• Data cleaning: handling missing values
• Data transformation: apply, map, applymap
• GroupBy operations and aggregations
• Merging, joining, and concatenating
• Time series data handling
• Categorical data handling

• Multi-index DataFrames
• Performance optimization in Pandas

📚 Topics Covered

• Principles of data visualization
• Matplotlib deep dive: customization
• Seaborn for statistical plots
• Plotly for interactive visualizations
• Distribution plots: histograms, KDE, box plots
• Relationship plots: scatter, line, regression
• Categorical plots: bar, count, violin
• Heatmaps and correlation matrices
• Pair plots and joint plots
• Exploratory Data Analysis (EDA) process

• Identifying patterns and anomalies
• Feature correlation analysis
• Handling outliers
• Data storytelling with visualizations

📚 Topics Covered

• SQL fundamentals for data analysis
• Querying databases: SELECT, WHERE, ORDER BY
• Aggregations: GROUP BY, HAVING
• Joins: INNER, LEFT, RIGHT, FULL
• Subqueries and CTEs
• Window functions for analytics
• Working with dates and times
• SQL optimization basics
• Connecting Python to databases
• SQLAlchemy for data extraction

• Phase 1 comprehensive review

📚 Topics Covered

• What is Machine Learning? AI vs ML vs DL
• Types of ML: supervised, unsupervised, reinforcement
• ML workflow: problem definition to deployment
• Data preparation for ML
• Train-test split and validation set
• Cross-validation: k-fold, stratified k-fold
• Overfitting and underfitting
• Bias-variance tradeoff
• Evaluation metrics: accuracy, precision, recall, F1
• Confusion matrix

• ROC curve and AUC
• Scikit-learn library introduction
• Linear Regression: theory and mathematics
• Gradient descent for linear regression
• Cost function (MSE) and optimization

📚 Topics Covered

• Logistic Regression: binary classification
• Sigmoid function and probability interpretation
• Log loss (binary cross-entropy)
• Multi-class classification: one-vs-rest, softmax
• Decision Trees: splitting criteria (Gini, entropy)
• Information gain and entropy
• Tree pruning to prevent overfitting
• Random Forest: ensemble of trees
• Bagging and bootstrap aggregating
• Feature importance in Random Forest

• K-Nearest Neighbors (KNN): distance-based learning
• Choosing K and distance metrics
• Naive Bayes classifier: probabilistic approach
• Support Vector Machines (SVM): margin maximization
• Kernel trick for non-linear classification

📚 Topics Covered

• Feature engineering importance
• Feature scaling: standardization vs normalization
• Min-Max scaling and Standard scaling
• Robust scaling for outliers
• Handling categorical features: one-hot encoding
• Label encoding and ordinal encoding
• Target encoding
• Feature creation: polynomial features
• Interaction features
• Binning and discretization

• Text features: Bag of Words, TF-IDF
• Feature selection: filter methods
• Wrapper methods: forward/backward selection
• Embedded methods: Lasso, Ridge
• Dimensionality reduction: PCA

📚 Topics Covered

• Clustering: grouping similar data
• K-Means clustering: algorithm and initialization
• Elbow method for choosing K
• Hierarchical clustering: agglomerative and divisive
• Dendrograms
• DBSCAN: density-based clustering
• Gaussian Mixture Models (GMM)
• Anomaly detection techniques
• Dimensionality reduction: PCA (practical)
• t-SNE for visualization

• UMAP for dimensionality reduction
• Association rule mining: Apriori algorithm
• Market basket analysis
• Autoencoders for unsupervised learning (intro)

📚 Topics Covered

• Ensemble learning: wisdom of crowds
• Bagging: Random Forest deep dive
• Boosting concept: sequential learning
• AdaBoost: Adaptive Boosting
• Gradient Boosting: iterative optimization
• XGBoost: extreme gradient boosting
• LightGBM: light gradient boosting machine
• CatBoost for categorical features
• Stacking and blending
• Voting classifiers

• Hyperparameter tuning: Grid Search
• Random Search and Bayesian Optimization
• AutoML introduction

📚 Topics Covered

• Evaluation metrics deep dive
• Classification metrics: precision, recall, F1, AUC-ROC
• Multi-class metrics: macro vs micro averaging
• Regression metrics: MAE, MSE, RMSE, R²
• Custom metrics creation
• Cross-validation strategies
• Stratified sampling
• Time series cross-validation
• Model interpretation: SHAP values
• LIME for local interpretability

• Feature importance analysis
• Partial dependence plots
• Model debugging and error analysis
• Bias and fairness in ML models
• A/B testing for ML models

📚 Topics Covered

• Time series data characteristics
• Trend, seasonality, and noise
• Stationarity and differencing
• Autocorrelation and partial autocorrelation
• Moving averages: simple and exponential
• ARIMA models: AR, MA, ARMA, ARIMA
• SARIMA for seasonal data
• Prophet for forecasting
• LSTM for time series (preview)
• Feature engineering for time series

• Evaluation metrics for forecasting
• Cross-validation for time series
• Handling missing data in time series
• Multi-step forecasting

📚 Topics Covered

• Types of recommendation systems
• Content-based filtering
• Collaborative filtering: user-based, item-based
• Matrix factorization: SVD for recommendations
• Similarity metrics: cosine, Pearson correlation
• Hybrid recommendation systems
• Cold start problem solutions
• Evaluation metrics for recommendations
• Implicit vs explicit feedback
• Scalability challenges

• Deep learning for recommendations (intro)
• Real-world recommendation systems architecture

📚 Topics Covered

• Imbalanced classification: SMOTE, class weights
• Cost-sensitive learning
• Multi-label classification
• Multi-output regression
• Online learning and incremental learning
• Active learning strategies
• Transfer learning basics
• Semi-supervised learning
• One-class classification
• Survival analysis basics

• Causal inference introduction
• Federated learning overview

📚 Topics Covered

• Complete ML pipeline development
• Problem definition and data collection
• EDA and feature engineering
• Model selection and training
• Hyperparameter tuning
• Model evaluation and interpretation
• Documentation and presentation

📚 Topics Covered

• ML model lifecycle
• Model serialization: pickle, joblib
• Flask for ML APIs
• FastAPI for high-performance APIs
• REST API design for ML
• Input validation and preprocessing
• Model serving basics
• Docker for ML applications
• Creating ML microservices
• Model versioning strategies

• A/B testing deployed models
• Monitoring model performance

📚 Topics Covered

• Why deep learning?
• Neural networks basics: perceptron
• Activation functions: sigmoid, tanh, ReLU
• Forward propagation
• Backpropagation algorithm
• Gradient descent variants: SGD, momentum, Adam
• Loss functions for deep learning
• TensorFlow basics
• Keras Sequential API
• Building first neural network

• Training deep networks
• Regularization: dropout, L1, L2
• Batch normalization

📚 Topics Covered

• Git for ML projects
• DVC (Data Version Control)
• Versioning datasets and models
• MLflow for experiment tracking
• Logging metrics and parameters
• Weights & Biases (wandb)
• Comparing experiments
• Reproducibility in ML
• Managing ML artifacts
• Jupyter notebooks best practices

• Documentation for ML projects
• Collaboration in ML teams

📚 Topics Covered

• Code organization for ML
• Configuration management
• Automated testing for ML
• Unit tests for data and models
• CI/CD for ML projects
• Data validation
• Model validation strategies
• Feature store concepts
• ML pipelines with Apache Airflow
• Scheduling ML tasks

• Error handling in ML systems
• Logging and monitoring

📚 Topics Covered

• Big data challenges in ML
• Apache Spark basics
• PySpark for distributed computing
• Spark MLlib for scalable ML
• Distributed data processing
• Dask for parallel computing
• Handling large datasets
• Sampling strategies
• Online learning for big data
• GPU computing basics

• Cloud platforms for ML: AWS, GCP, Azure

📚 Topics Covered

• Limitations of fully connected networks for images
• Convolution operation: filters and feature maps
• Padding and stride
• Pooling layers: max pooling, average pooling
• CNN architecture components
• LeNet architecture
• AlexNet and ImageNet revolution
• VGGNet: deep and simple
• Inception/GoogLeNet: multi-scale features
• ResNet: residual connections and skip connections

• Transfer learning with pretrained models
• Fine-tuning strategies
• Data augmentation for images

📚 Topics Covered

• Object detection: R-CNN, Fast R-CNN, Faster R-CNN
• YOLO (You Only Look Once): real-time detection
• SSD (Single Shot Detector)
• Semantic segmentation: FCN, U-Net
• Instance segmentation: Mask R-CNN
• Face recognition and verification
• Siamese networks
• Image generation introduction
• Style transfer with CNNs
• OpenCV for computer vision

• Image preprocessing techniques
• Handling class imbalance in CV
• Model optimization for edge devices

📚 Topics Covered

• Sequential data and RNN motivation
• RNN architecture and forward pass
• Backpropagation Through Time (BPTT)
• Vanishing and exploding gradients
• LSTM (Long Short-Term Memory): gates and cell state
• GRU (Gated Recurrent Unit)
• Bidirectional RNNs
• Sequence-to-sequence models
• Encoder-decoder architecture
• Attention mechanism

• Teacher forcing
• Applications: language modeling, translation
• Time series with RNN/LSTM

📚 Topics Covered

• NLP pipeline and challenges
• Text preprocessing: tokenization, lowercasing
• Stop words removal and stemming/lemmatization
• Bag of Words (BoW) and TF-IDF review
• Word embeddings: Word2Vec (CBOW, Skip-gram)
• GloVe embeddings
• FastText embeddings
• Using pretrained embeddings
• Text classification with embeddings
• Named Entity Recognition (NER)

• Part-of-Speech (POS) tagging
• Dependency parsing basics
• spaCy for NLP

📚 Topics Covered

• Transformer architecture: self-attention
• Multi-head attention
• Positional encoding
• BERT: Bidirectional Encoder Representations
• GPT: Generative Pre-trained Transformer
• T5, RoBERTa, ALBERT
• Hugging Face Transformers library
• Fine-tuning BERT for classification
• Zero-shot and few-shot learning
• Prompt engineering basics

• Modern NLP pipeline
• Production NLP systems

📚 Topics Covered

• Generative models overview
• GAN architecture: generator and discriminator
• GAN training: adversarial loss
• Mode collapse and training challenges
• DCGAN: Deep Convolutional GAN
• Conditional GAN (cGAN)
• Pix2Pix for image-to-image translation
• CycleGAN for unpaired translation
• StyleGAN for high-quality generation
• Progressive GAN

• Wasserstein GAN (WGAN)
• GAN evaluation metrics: Inception Score, FID
• Applications: image generation, data augmentation

📚 Topics Covered

• Autoencoders: encoder-decoder architecture
• Dimensionality reduction with autoencoders
• Denoising autoencoders
• Variational Autoencoders (VAE)
• VAE loss: reconstruction + KL divergence
• Latent space interpolation
• Conditional VAE
• Diffusion models introduction
• Stable Diffusion basics
• DALL-E and text-to-image models

• Generative models for text
• Applications in creative AI

📚 Topics Covered

• Reinforcement Learning paradigm
• Agent, environment, state, action, reward
• Markov Decision Process (MDP)
• Policy and value functions
• Bellman equations
• Dynamic programming: value iteration, policy iteration
• Monte Carlo methods
• Temporal Difference (TD) learning
• Q-Learning algorithm
• SARSA algorithm

• Exploration vs exploitation: ε-greedy
• OpenAI Gym environment

📚 Topics Covered

• Deep Q-Networks (DQN)
• Experience replay
• Target networks
• Double DQN
• Dueling DQN
• Policy gradient methods
• REINFORCE algorithm
• Actor-Critic methods
• A3C (Asynchronous Advantage Actor-Critic)
• PPO (Proximal Policy Optimization)

• Applications: game playing, robotics
• Multi-agent RL basics

📚 Topics Covered

• PyTorch fundamentals
• Tensors and autograd
• Building models with nn.Module
• PyTorch data loading: Dataset, DataLoader
• Custom datasets creation
• Training loops in PyTorch
• GPU acceleration with PyTorch
• TorchVision for computer vision
• TorchText for NLP
• PyTorch Lightning for cleaner code

• Model checkpointing
• TensorBoard with PyTorch
• PyTorch vs TensorFlow comparison

📚 Topics Covered

• Model optimization importance
• Quantization: reducing precision
• Pruning: removing unnecessary weights
• Knowledge distillation: teacher-student
• Neural Architecture Search (NAS)
• MobileNets for mobile devices
• EfficientNet: compound scaling
• TensorFlow Lite for mobile
• ONNX for model interoperability
• Edge AI deployment

• Inference optimization
• Benchmarking model speed

📚 Topics Covered

• Audio signal basics
• Audio preprocessing and features
• Mel-frequency cepstral coefficients (MFCCs)
• Spectrograms
• Speech recognition with Deep Learning
• WaveNet and audio generation
• Voice cloning basics
• Music genre classification
• Audio event detection
• Librosa library for audio

• Speech-to-text systems
• Text-to-speech (TTS) basics

📚 Topics Covered

• Multi-modal learning introduction
• Image + text models
• CLIP: Contrastive Language-Image Pre-training
• Vision-language models
• Multi-modal fusion strategies
• Graph data representation
• Graph Neural Networks (GNN) basics
• Graph Convolutional Networks (GCN)
• Node classification and link prediction
• Graph attention networks

• Applications: social networks, molecules
• Knowledge graphs

📚 Topics Covered

• Ethics in AI/ML
• Bias in machine learning
• Fairness metrics and definitions
• Detecting and mitigating bias
• Interpretable vs explainable AI
• LIME and SHAP for explanations
• Privacy in ML: differential privacy
• Federated learning for privacy
• Adversarial attacks on ML models
• Adversarial training for robustness

• Regulatory compliance: GDPR, AI Act
• Responsible AI frameworks
• Ethical considerations in deployment

📚 Topics Covered

• Advanced AI system design
• Deep learning architecture selection
• Data collection and preprocessing
• Model training and optimization
• Evaluation and interpretation
• Deployment planning

📚 Topics Covered

• What is MLOps? DevOps for ML
• ML system architecture
• ML pipeline orchestration
• Kubeflow for ML workflows
• Apache Airflow for ML pipelines
• Feature stores: Feast, Tecton
• Model registry: MLflow, DVC
• Experiment tracking at scale
• Metadata management
• Data lineage and provenance

• Continuous training (CT)
• Automated retraining pipelines
• Model governance

📚 Topics Covered

• Model serving architectures
• TensorFlow Serving
• TorchServe for PyTorch
• NVIDIA Triton Inference Server
• RESTful API vs gRPC for serving
• Batch vs real-time inference
• Model optimization for serving
• A/B testing infrastructure
• Multi-armed bandits for model selection
• Canary deployments

• Shadow deployments
• Load balancing for ML services
• Kubernetes for ML deployment

📚 Topics Covered

• ML model monitoring importance
• Data drift detection
• Concept drift monitoring
• Model performance degradation
• Monitoring metrics: latency, throughput
• Prometheus for ML monitoring
• Grafana dashboards for ML
• Logging for ML systems
• Error tracking and alerting
• Model explainability in production

• Feedback loops
• Retraining triggers
• Incident response for ML systems

📚 Topics Covered

• Distributed training: data parallelism
• Model parallelism for large models
• Horovod for distributed training
• Ray for distributed ML
• GPU clusters management
• Cloud ML platforms: AWS SageMaker
• Google Cloud AI Platform
• Azure Machine Learning
• Vertex AI
• Managed ML services

• Cost optimization for ML
• Spot instances for training
• Serverless ML inference

📚 Topics Covered

• Automated Machine Learning (AutoML)
• AutoML frameworks: Auto-sklearn, TPOT
• Google AutoML
• H2O.ai AutoML
• Neural Architecture Search (NAS)
• Hyperparameter optimization: Optuna, Hyperopt
• Meta-learning introduction
• Few-shot learning
• Transfer learning at scale
• Model zoos and pretrained models

• Automated feature engineering
• AutoML for time series

📚 Topics Covered

• How to read research papers
• arXiv and academic resources
• Understanding paper structure
• Mathematical notation in papers
• Implementing papers from scratch
• Reproducing research results
• State-of-the-art (SOTA) models
• Benchmarking on standard datasets
• Contributing to research discussions
• Writing technical reports

• Academic writing basics
• Citing and references

📚 Topics Covered

• Large Language Models (LLMs) architecture
• GPT-3, GPT-4, PaLM architecture
• Prompt engineering advanced
• Fine-tuning large models
• RLHF (Reinforcement Learning from Human Feedback)
• Constitutional AI
• Vision Transformers (ViT)
• Multi-modal transformers
• Diffusion models deep dive
• Neural rendering and NeRF

• Foundation models
• AI safety and alignment
• Emerging AI research directions

📚 Topics Covered

• Healthcare AI: medical imaging, diagnosis
• Drug discovery with AI
• Finance: algorithmic trading, fraud detection
• Retail: demand forecasting, personalization
• Manufacturing: predictive maintenance, quality control
• Autonomous vehicles: perception, planning
• Agriculture: crop monitoring, yield prediction
• Energy: smart grids, consumption forecasting
• Natural disasters prediction
• Climate change modeling

• AI for social good
• Industry-specific challenges and solutions

📚 Topics Covered

• AI product development lifecycle
• Identifying AI opportunities
• Problem-solution fit for AI
• Building MVP for AI products
• AI product metrics and KPIs
• User experience in AI products
• Monetization strategies
• AI as a service (AIaaS)
• API-first AI products
• Scaling AI products

• Team building for AI startups
• Fundraising for AI ventures
• Legal and regulatory considerations

📚 Topics Covered

• ML interview preparation strategy
• Coding interviews for ML roles
• ML theory and concepts questions
• System design for ML systems
• Take-home assignments approach
• Portfolio projects presentation
• Resume for ML roles
• LinkedIn for ML professionals
• GitHub for ML engineers
• Networking in AI community

• Conferences and meetups
• Building personal brand
• Salary negotiation for ML roles
• Career paths in AI/ML

📚 Topics Covered

• Kaggle platform mastery
• Competition strategy
• Exploratory data analysis for competitions
• Ensemble methods for Kaggle
• Cross-validation strategies
• Leaderboard probing techniques
• Feature engineering for competitions
• Model stacking and blending
• Time management in competitions
• Learning from Kaggle kernels

• Kaggle datasets exploration
• Achieving Kaggle ranks

📚 Topics Covered

• Finding AI/ML open source projects
• Contributing to TensorFlow/PyTorch
• Scikit-learn contributions
• Hugging Face ecosystem
• Documentation improvements
• Bug fixes and features
• Creating ML libraries
• Packaging and PyPI publishing
• Open source best practices
• Community engagement

• Code reviews in open source
• Building reputation

📚 Topics Covered

• Technical blog writing
• Explaining complex ML concepts
• Tutorial creation
• Video content for ML
• Medium and Dev.to platforms
• Creating ML courses
• Conference speaking
• Workshop facilitation
• Mentoring junior ML engineers
• Building audience

• Thought leadership in AI
• Content monetization

📚 Topics Covered

• Staying updated with AI research
• Following AI researchers on Twitter
• Reading papers regularly
• Choosing specialization path
• Deep learning specialization vs breadth
• PhD vs industry career
• Research scientist vs ML engineer
• Continuous skill development
• Learning roadmap creation
• Community involvement

• Networking with experts
• Long-term career planning

📚 Topics Covered

• Complex AI system design
• Problem identification
• Literature review
• Data collection strategy
• Architecture design
• Technology stack selection
• Development planning
• Research component
• Innovation and novelty

📚 Topics Covered

• Implementation completion
• Comprehensive testing
• MLOps pipeline setup
• Cloud deployment
• Monitoring and logging
• Documentation writing
• Research paper writing
• Performance benchmarking
• Demo preparation
• Presentation skills

📚 Topics Covered

• AI/ML portfolio showcase
• Resume optimization
• LinkedIn for ML roles
• GitHub profile excellence
• Personal website/blog
• Networking strategies
• Job search in AI/ML
• Applying to top companies
• Interview process navigation
• Offer negotiation

• Career decision making
• Continuous growth mindset