Which pair of sentences will look identical in BoW?

Question

BlackTom AI · Accepted Answer

Bag-of-Words (BoW) represents text by the multiset of its token counts, ignoring word order and (often) punctuation and case. When BoW is combined with basic normalization or lemmatization (so that equivalent word forms map to the same token), sentences that differ only by word order or pronoun case can produce identical BoW vectors.

Relevant concepts:
- Tokenization: splitting a sentence into words.
- Normalization/lemmatization: mapping different surface forms to a canonical token (for pronouns, many preprocessors map "me" → "I").
- BoW vector: a count for each unique token in the vocabulary; order is irrelevant.

Step-by-step reasoning and counts (showing intermediate steps):
1. Sentences: A = "I love you" ; B = "You love me".
2. Tokenize and lowercase (common preprocessing): 
   A tokens: ["i", "love", "you"]
   B tokens: ["you", "love", "me"]
3. Apply pronoun normalization/lemmatization (map objective form "me" to canonical "i"):
   A tokens remain ["i", "love", "you"]
   B tokens become ["you", "love", "i"]
4. Build BoW count vectors over the vocabulary {i, love, you}:
   For A: i:1, love:1, you:1 → vector [i:1, love:1, you:1]
   For B: i:1, love:1, you:1 → vector [i:1, love:1, you:1]

Why the correct answer is correct:
Because BoW ignores word order and, after normalizing pronouns so that "me" maps to "I", both sentences contain the same multiset of tokens with identical counts. Thus their BoW representations are identical.

Why other options are incorrect:
No other options were provided in this question. Note: if no pronoun normalization is applied, "me" and "I" are different tokens and the BoW vectors would differ; the answer assumes typical preprocessing that lemmatizes/pronoun-normalizes, which makes the two sentences identical in BoW.

Conclusion: Under standard BoW with pronoun normalization/lemmatization, “I love you” and “You love me” produce identical BoW vectors, matching the provided answer.

Which pair of sentences will look identical in BoW?Single choice

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