A new research paper explores the computational complexity of tokenization algorithms like Byte-Pair Encoding (BPE). The study proves that unless P=NP, no efficient algorithm can approximate the optimal number of merges for BPE on binary strings within a factor of $c n / ext{log } n$. For merges that can skip occurrences, a simple algorithm achieves $O(n / ext{log log } n)$, and for unary datasets, both tokenization problems are strongly NP-complete. AI
IMPACT Understanding tokenization complexity is crucial for optimizing the efficiency of large language models.
RANK_REASON Academic paper detailing theoretical computer science research on tokenization algorithms. [lever_c_demoted from research: ic=1 ai=1.0]
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