Data Science Foundations

Essential mathematical and statistical foundations for modern data science and machine learning. Deep dive into the theoretical underpinnings of LLMs, traditional ML algorithms, probability theory, and advanced optimization techniques with comprehensive proofs and implementations.

Complete Foundations Curriculum

Master data science and LLM foundations through our structured 41-article curriculum. Progress from mathematical fundamentals to cutting-edge AI concepts.

LLM & AI Foundations (33 Articles)

1. LLM Base Knowledge (10 articles)

Foundations, tokenization, activations, language models, embeddings

FoundationsTokenizationActivationsEmbeddings

2. LLM Model Architecture (9 articles)

Attention mechanisms, transformers, MOE, LLAMA models, decoding

AttentionTransformersMOELLAMA

3. Training & Fine-tuning (8 articles)

Training data, workflows, LoRA, adapter tuning, optimization

Training DataLoRAAdapters

4. RAG & Evaluation (6 articles)

RAG basics, agentic RAG, hallucination detection, evaluation methods

RAG TheoryHallucinationEvaluation

Traditional ML & Statistics (8 Articles)

5. Probability & Statistics (4 articles)

Mathematical expectations, distributions, imbalanced data, metrics

ProbabilityDistributionsMetrics

6. ML Tools & Practice (4 articles)

Pandas operations, scikit-learn, classification metrics, ML concepts

PandasScikit-learnClassification

🎯 Recommended Learning Path

  1. 1. Start with Traditional ML for solid foundations
  2. 2. Move to LLM Base Knowledge
  3. 3. Study Model Architecture in detail
  4. 4. Explore Training & Fine-tuning techniques
  5. 5. Master RAG & Evaluation methods

💡 Study Tip: Each article includes mathematical proofs, code implementations, and interview questions. We recommend studying 2-3 articles per week for optimal retention and understanding.

41
Expert Articles
6
Study Tracks
Math Proofs
100%
Interview Ready

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