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Paper · arXiv

Probabilistic Language Tries: A Unified Framework for Compression, Decision Policies, and Execution Reuse

We introduce probabilistic language tries (PLTs), a unified representation that makes explicit the prefix structure implicitly defined by any generative model over sequences. By assigning to each outgoing edge the conditional probability of the corresponding token or action, a PLT simultaneously serves as: (i) an optimal lossless compressor via frequency-weighted interval encoding, generalizing arithmetic coding to model-conditioned distributions; (ii) a policy representation for sequential decision problems including games, search, and robotic control; and (iii) a memoization index that lets repeated inference queries be answered by structured retrieval rather than full model execution. ...

AuthorsGregory Magarshak
Primary categorycs.LG
Published29 March 2026
Last updated at source29 March 2026
cs.LGcs.AIcs.CLcs.DScs.IRcs.IT
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