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0x50Lesson 6 of 6

Connect embeddings, attention, and language models

Relate vector representations to context-aware Transformer models.

14 min 4-question quiz 1 code exercise
By the end of this lesson you can
  • Compare simple vectors and describe what self-attention contributes.

An embedding maps a token or text span to a vector of numbers. Learned embeddings can place items used in similar contexts near one another, though similarity does not guarantee identical meaning. Transformer layers use self-attention to combine information from different sequence positions; positional information helps represent order. Decoder-style language models use context to predict a next token, then repeat that step. See the original Transformer paper.

example.py
1import math
2a = [1, 0]
3b = [0.8, 0.6]
4dot = sum(x * y for x, y in zip(a, b))
5cosine = dot / (math.sqrt(sum(x*x for x in a)) * math.sqrt(sum(y*y for y in b)))
6print(round(cosine, 2))
Output
0.8

This vector comparison is a toy example, not an embedding model. Real embeddings are learned from data and may depend on context. Self-attention lets each position use information from other positions. Fluent generated text can still be incorrect, biased, or unsupported; verify important claims.

Key takeaways

  • Compare simple vectors and describe what self-attention contributes.

  • Simple baselines help make ideas concrete.

  • Interpret language tools in context and check important results.

Lesson quiz

4 questions · pass with 3 correct · up to 50 XP

Passing this quiz completes the lesson and keeps your streak going. Questions you miss come back in review sessions later.

Practice: apply NLP with Python

Try each text-processing idea in Python, run it against sample inputs, and use the results to see where the method works or falls short.

Exercise 1

Compare two vectors

+25 XP

Read two space-separated, equal-length, non-zero vectors on separate lines. Calculate cosine similarity and print it to two decimal places.

  • Perpendicular vectors
  • Similar vectors
main.py
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