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Byte Pair Encoding (BPE) Merges

Learn subword merges the way GPT tokenizers do: repeatedly merge the most frequent pair of adjacent symbols.

Lo que aprenderás

  • Count pairs of adjacent symbols
  • Merge the most frequent pair repeatedly
  • Understand how GPT-style tokenizers are built

Problema

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GPT-style tokenizers use Byte Pair Encoding: start from single characters and repeatedly merge the most common pair of neighbors into a new symbol.

  1. Split every word in words into characters. Repeated words count multiple times.
  2. Count every pair of adjacent symbols across all words.
  3. Pick the most frequent pair. If pairs tie, pick the one that is smallest when you compare (first symbol, second symbol) as strings.
  4. Replace every occurrence of that pair, left to right, with the merged symbol, and record the merged symbol.
  5. Repeat num_merges times, or stop early when no word has two symbols left.

Implement bpe_merges(words, num_merges).

Input

words: The training words (lowercase letters).

num_merges: How many merges to learn.

Output

Return the merged symbols in the order they were learned.

Restricciones

1 ≤ number of words ≤ 1,000, 1 ≤ length of each word ≤ 30

0 ≤ num_merges ≤ 200

Ejemplos

Ejemplo 1
Entrada:
words = ["low", "lower", "lowest"]
num_merges = 2

Salida esperada:
expected = ["lo", "low"]
Entrada:
std::vector<std::string> words = {"low", "lower", "lowest"};
long long num_merges = 2;

Salida esperada:
std::vector<std::string> expected = {"lo", "low"};
Entrada:
string[] words = new string[] {"low", "lower", "lowest"};
long num_merges = 2;

Salida esperada:
string[] expected = new string[] {"lo", "low"};

Explicación

Pairs: "l o" and "o w" appear 3 times each; the tie goes to "l o" ("l" < "o"), giving "lo". Now "lo w" appears 3 times, giving "low". Result: ["lo", "low"].

Ejemplo 2
Entrada:
words = ["aaa"]
num_merges = 3

Salida esperada:
expected = ["aa", "aaa"]
Entrada:
std::vector<std::string> words = {"aaa"};
long long num_merges = 3;

Salida esperada:
std::vector<std::string> expected = {"aa", "aaa"};
Entrada:
string[] words = new string[] {"aaa"};
long num_merges = 3;

Salida esperada:
string[] expected = new string[] {"aa", "aaa"};

Explicación

"aaa" has the pair "a a" twice. Merging left to right gives "aa" + "a". Then "aa a" merges into "aaa", and the word is a single symbol, so the third merge has nothing to do. Result: ["aa", "aaa"].

Referencias

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