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Data Structures & Algorithms

Key Topics for ML Engineers

Data Structure Use Case in ML
Arrays / Matrices Everything (data storage, weights, embeddings)
Hash Tables Vocabulary lookup, tokenization
Trees Decision trees, KD-trees for nearest neighbor
Heaps Priority queues in Dijkstra/A*, beam search
Graphs Neural network topology, computational graphs

Algorithm Complexity

Operation Time Complexity Where It Matters
Matrix multiply \(n \times n\) \(O(n^3)\) naive, \(O(n^{2.37})\) optimal Training large models
Sorting \(O(n \log n)\) Data preprocessing
Hash lookup \(O(1)\) avg Tokenization, vocab
Graph traversal \(O(V+E)\) Backpropagation on computation graph