Back to Topic 4.2 — Data preprocessing
4.2.3Computer Science HL5 flashcards

Dimensionality reduction

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Card 1 of 54.2.3
4.2.3
Question

What is dimensionality reduction?

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All 5 Flashcards — Dimensionality reduction

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Card 1definition

Question

What is dimensionality reduction?

Answer

Describing the same data with **fewer features** while keeping as much of the variation as possible.

Card 2definition

Question

What is the curse of dimensionality?

Answer

More features means an **exponentially larger space**, so data becomes sparse, distances lose meaning, and exponentially more records are needed.

Card 3comparison

Question

Feature selection or extraction — what is the difference?

Answer

**Selection** keeps a subset of the original columns. **Extraction** builds new features from combinations of them, as PCA does.

Card 4process

Question

What does PCA do?

Answer

Finds the directions along which the data varies **most** and uses them as the new axes, so the first few components carry most of the information.

Card 5concept

Question

What is always lost in dimensionality reduction?

Answer

Some **variation** — it is lossy by construction — and with extraction, **interpretability**: a component cannot be named in plain words.

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