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We study language generation in the limit - introduced by Kleinberg and Mullainathan [KM24] - building on classical works of Gold [Gol67] and Angluin [Ang79]. [KM24]'s main result is an algorithm for generating from any countable language…

Machine Learning · Computer Science 2025-07-04 Alkis Kalavasis , Anay Mehrotra , Grigoris Velegkas

We present a novel parsing algorithm for all context-free languages, based on computing the relation between configurations and reaching transitions in a recursive transition network. Parsing complexity w.r.t. input length matches the state…

Formal Languages and Automata Theory · Computer Science 2019-02-19 Grzegorz Herman

Evaluating Natural Language Generation (NLG) systems is a challenging task. Firstly, the metric should ensure that the generated hypothesis reflects the reference's semantics. Secondly, it should consider the grammatical quality of the…

Computation and Language · Computer Science 2022-03-18 Md Rashad Al Hasan Rony , Liubov Kovriguina , Debanjan Chaudhuri , Ricardo Usbeck , Jens Lehmann

We present an algorithm for extracting a subclass of the context free grammars (CFGs) from a trained recurrent neural network (RNN). We develop a new framework, pattern rule sets (PRSs), which describe sequences of deterministic finite…

Formal Languages and Automata Theory · Computer Science 2021-03-30 Daniel M. Yellin , Gail Weiss

Recently, feature selection has become an increasingly important area of research due to the surge in high-dimensional datasets in all areas of modern life. A plethora of feature selection algorithms have been proposed, but it is difficult…

Neural and Evolutionary Computing · Computer Science 2019-10-24 Andrew Lensen , Bing Xue , Mengjie Zhang

Neural network-based sequence-to-sequence (seq2seq) models strongly suffer from the low-diversity problem when it comes to open-domain dialogue generation. As bland and generic utterances usually dominate the frequency distribution in our…

Computation and Language · Computer Science 2020-05-14 Hui Su , Xiaoyu Shen , Sanqiang Zhao , Xiao Zhou , Pengwei Hu , Randy Zhong , Cheng Niu , Jie Zhou

We propose a method for natural language generation, choosing the most representative output rather than the most likely output. By viewing the language generation process from the voting theory perspective, we define representativeness…

Computation and Language · Computer Science 2020-05-27 Sebastian Borgeaud , Guy Emerson

The success of large language models (LLMs) has motivated formal theories of language generation and learning. We study the framework of \emph{language generation in the limit}, where an adversary enumerates strings from an unknown language…

Data Structures and Algorithms · Computer Science 2025-11-10 Jon Kleinberg , Fan Wei

Large language models (LLMs) can solve problems step-by-step. While this chain-of-thought (CoT) reasoning boosts LLMs' performance, it is unclear if LLMs \textit{know} when to use CoT and whether those CoT are always necessary to answer the…

Computation and Language · Computer Science 2024-03-21 Cheng-Han Chiang , Hung-yi Lee

We propose a new type of representation learning method that models words, phrases and sentences seamlessly. Our method does not depend on word segmentation and any human-annotated resources (e.g., word dictionaries), yet it is very…

Computation and Language · Computer Science 2019-05-30 Geewook Kim , Kazuki Fukui , Hidetoshi Shimodaira

Previous work on Dynamic Complexity has established that there exist dynamic constant-time parallel algorithms for regular tree languages and context-free languages under label or symbol changes. However, these algorithms were not developed…

Data Structures and Algorithms · Computer Science 2023-07-20 Jonas Schmidt , Thomas Schwentick , Jennifer Todtenhoefer

Speculative decoding relies on fast and accurate drafters. Recent state-of-the-art language models employ larger and larger vocabularies, which significantly slows down drafters. One promising approach to boost the efficiency of speculative…

Machine Learning · Computer Science 2025-06-05 Nadav Timor , Jonathan Mamou , Oren Pereg , Hongyang Zhang , David Harel

The wave of pre-training language models has been continuously improving the quality of the machine-generated conversations, however, some of the generated responses still suffer from excessive repetition, sometimes repeating words from…

Computation and Language · Computer Science 2021-12-17 Yadong Xi , Jiashu Pu , Xiaoxi Mao

We present a method for generating random hypergraphs in context-free hypergraph languages. It is obtained by adapting Mairson's generation algorithm for context-free string grammars to the setting of hyperedge replacement grammars. Our…

Logic in Computer Science · Computer Science 2024-10-02 Federico Vastarini , Detlef Plump

Slang is a common type of informal language, but its flexible nature and paucity of data resources present challenges for existing natural language systems. We take an initial step toward machine generation of slang by developing a…

Computation and Language · Computer Science 2021-05-25 Zhewei Sun , Richard Zemel , Yang Xu

We present an unsupervised word segmentation model, in which the learning objective is to maximize the generation probability of a sentence given its all possible segmentation. Such generation probability can be factorized into the…

Computation and Language · Computer Science 2021-03-03 Lihao Wang , Zongyi Li , Xiaoqing Zheng

We investigate questions related to the presence of primitive words and Lyndon words in automatic and linearly recurrent sequences. We show that the Lyndon factorization of a k-automatic sequence is itself k-automatic. We also show that the…

Formal Languages and Automata Theory · Computer Science 2012-11-08 Daniel Goc , Kalle Saari , Jeffrey Shallit

After presenting a novel O(n^3) parsing algorithm for dependency grammar, we develop three contrasting ways to stochasticize it. We propose (a) a lexical affinity model where words struggle to modify each other, (b) a sense tagging model…

cmp-lg · Computer Science 2008-02-06 Jason Eisner

It is known that binary words containing no $k$ consecutive 1s are enumerated by $k$-step Fibonacci numbers. In this note we discuss the expected value of a random bit in a random word of length $n$ having this property.

Combinatorics · Mathematics 2022-05-09 Jean-Luc Baril , Sergey Kirgizov , Vincent Vajnovszki

In this article, we count the number of return words in some infinite words with complexity 2n+1. We also consider some infinite words given by codings of rotation and interval exchange transformations on k intervals. We prove that the…

Combinatorics · Mathematics 2007-05-23 Laurent Vuillon
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