arXiv — NLP / Computation & Language · · 3 min read

Tokenisation via Convex Relaxations

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Computer Science > Computation and Language

arXiv:2605.22821 (cs)
[Submitted on 21 May 2026]

Title:Tokenisation via Convex Relaxations

View a PDF of the paper titled Tokenisation via Convex Relaxations, by Jan Tempus and 4 other authors
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Abstract:Tokenisation is an integral part of the current NLP pipeline. Current tokenisation algorithms such as BPE and Unigram are greedy algorithms -- they make locally optimal decisions without considering the resulting vocabulary as a whole. We instead formulate tokeniser construction as a linear program and solve it using convex optimisation tools, yielding a new algorithm we call ConvexTok. We find ConvexTok consistently improves intrinsic tokenisation metrics and the bits-per-byte (BpB) achieved by language models; it also improves downstream task performance, but less consistently. Furthermore, ConvexTok allows the user to certify how far their tokeniser is from optimal, with respect to a certain objective, via a lower bound, and we empirically find it to be within 1\% of optimal at common vocabulary sizes.
Subjects: Computation and Language (cs.CL); Machine Learning (cs.LG)
Cite as: arXiv:2605.22821 [cs.CL]
  (or arXiv:2605.22821v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2605.22821
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Jan Tempus [view email]
[v1] Thu, 21 May 2026 17:59:56 UTC (5,156 KB)
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