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Toward a Theory of Tokenization in LLMs
April 15, 2024, 4:42 a.m. | Nived Rajaraman, Jiantao Jiao, Kannan Ramchandran
cs.LG updates on arXiv.org arxiv.org
Abstract: While there has been a large body of research attempting to circumvent tokenization for language modeling (Clark et al., 2022; Xue et al., 2022), the current consensus is that it is a necessary initial step for designing state-of-the-art performant language models. In this paper, we investigate tokenization from a theoretical point of view by studying the behavior of transformers on simple data generating processes. When trained on data drawn from certain simple $k^{\text{th}}$-order Markov processes …
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