arXiv Machine Learning

Stringological sequence prediction II: Right-to-left automaticity and related complexity measures

arXiv:2607. 17369v1 Announce Type: cross Abstract: In a previous paper, we began the study of sequence prediction algorithms adapted to stringological word complexity measures.

arXiv Machine Learning
23h ago

Large Language Models: A Mathematical Formulation

arXiv:2601. 22170v2 Announce Type: replace-cross Abstract: Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems.

By Ricardo Baptista, Andrew Stuart, Son Tran
arXiv Machine Learning
Jul 28

Hallucination Rates in Language Generation

arXiv:2607. 23361v1 Announce Type: cross Abstract: Language generation in the limit is an elegant model introduced by Kleinberg and Mullainathan [KM24] to formally study language generation by an algorithm that learns solely based on example strings.

By Debmalya Panigrahi, Fan Wei, Ian Zhang
arXiv Machine Learning
Jul 15

Language Identification with Succinct Machine-Independent Traces

arXiv:2607. 12443v1 Announce Type: cross Abstract: Motivated by the power of large language models, there has been renewed interest in the Gold-Angluin model of language identification in the limit, with an eye toward variants of the model that might overcome the negative results for its original formulation.

By Moses Charikar, Jon Kleinberg, Chirag Pabbaraju
arXiv AI
Aug 7

The Impossibility Triangle of Long-Context Modeling

arXiv:2605. 05066v2 Announce Type: replace-cross Abstract: We identify and prove a fundamental trade-off governing long-sequence models: no model can simultaneously achieve (i) per-step computation independent of sequence length (Efficiency), (ii) state size independent of sequence length (Compactness), and (iii) the ability to recall a number of historical facts proportional to sequence length (Recall).

By Yan Zhou