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In this article we generalize packing density problems from permutations to patterns with repeated letters and generalized patterns. We are able to find the packing density for some classes of patterns and several other short patterns.

Combinatorics · Mathematics 2007-05-23 A. Burstein , Peter Hästö , T. Mansour

n this paper, we attempt to explain the emergence of the linguistic diversity that exists across the consonant inventories of some of the major language families of the world through a complex network based growth model. There is only a…

Computation and Language · Computer Science 2009-04-09 Monojit Choudhury , Animesh Mukherjee , Anupam Basu , Niloy Ganguly , Ashish Garg , Vaibhav Jalan

Many domain experts do not have the time or expertise to write formal Bayesian models. This paper takes an informal problem description as input, and combines a large language model and a probabilistic programming language to define a joint…

Machine Learning · Computer Science 2025-10-27 Justin Domke

Bounds on the entropy of patterns of sequences generated by independently identically distributed (i.i.d.) sources are derived. A pattern is a sequence of indices that contains all consecutive integer indices in increasing order of first…

Information Theory · Computer Science 2007-07-13 Gil I. Shamir

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Large Language Models are built on the so-called distributional semantic approach to linguistic meaning that has the distributional hypothesis at its core. The distributional hypothesis involves a holistic conception of word meaning: the…

Computation and Language · Computer Science 2025-04-04 Jumbly Grindrod , J. D. Porter , Nat Hansen

This paper describes a process for combining patterns and features, to guide a search process and make predictions. It is based on the functionality that a human brain might have, which is a highly distributed network of simple neuronal…

Artificial Intelligence · Computer Science 2021-01-05 Kieran Greer

Multilingual programs, whose implementations are made of different languages, are gaining traction especially in domains, such as web programming, that particularly benefit from the additional flexibility brought by using multiple…

Programming Languages · Computer Science 2024-07-17 Carlo A. Furia , Abhishek Tiwari

We show that across architecture (Transformer vs. Mamba vs. RWKV), training dataset (OpenWebText vs. The Pile), and scale (14 million parameters to 12 billion parameters), autoregressive language models exhibit highly consistent patterns of…

Computation and Language · Computer Science 2025-10-30 James A. Michaelov , Roger P. Levy , Benjamin K. Bergen

Large Reasoning Models (LRMs) still exhibit large performance gaps between English and other languages, yet much current work assumes these gaps can be closed simply by making reasoning in every language resemble English reasoning. This…

Computation and Language · Computer Science 2026-04-07 Dayeon Ki , Kevin Duh , Marine Carpuat

Language is not only a tool for communication but also a medium for human cognition and reasoning. If, as linguistic relativity suggests, the structure of language shapes cognitive patterns, then large language models (LLMs) trained on…

Computation and Language · Computer Science 2025-06-23 Chenxi Wang , Yixuan Zhang , Lang Gao , Zixiang Xu , Zirui Song , Yanbo Wang , Xiuying Chen

The expression problem describes a fundamental tradeoff between two types of extensibility: extending a type with new operations, such as by pattern matching on an algebraic data type in functional programming, and extending a type with new…

Programming Languages · Computer Science 2025-11-21 Bohdan Liesnikov , David Binder , Tim Süberkrüb

A temporal constraint language is a set of relations that are first-order definable over (Q;<). We show that several temporal constraint languages whose constraint satisfaction problem is maximally tractable are also maximally tractable for…

Logic in Computer Science · Computer Science 2021-04-26 Manuel Bodirsky , Hubie Chen , Michał Wrona

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

Temporal information conveyed by language describes how the world around us changes through time. Events, durations and times are all temporal elements that can be viewed as intervals. These intervals are sometimes temporally related in…

Computation and Language · Computer Science 2012-03-23 Leon Derczynski , Robert Gaizauskas

We consider the Consensus Patterns problem, where, given a set of input strings, one is asked to extract a long-enough pattern which appears (with some errors) in all strings. We prove that this problem is W[1]-hard when parameterized by…

Computational Complexity · Computer Science 2017-02-28 Laurent Bulteau

Given a language, which in this article is a set of strings of some fixed length, we study the problem of producing its elements by a procedure in which each position has its own local rule. We introduce a way of measuring how much…

Discrete Mathematics · Computer Science 2025-11-27 Mathieu Hoyrup

The difficulties of automatic extraction of definitions and methods from scientific documents lie in two aspects: (1) the complexity and diversity of natural language texts, which requests an analysis method to support the discovery of…

Computation and Language · Computer Science 2023-07-06 Yutian Sun , Hai Zhuge

Conditional acceptability refers to how plausible a conditional statement is perceived to be. It plays an important role in communication and reasoning, as it influences how individuals interpret implications, assess arguments, and make…

Computation and Language · Computer Science 2026-03-20 Jasmin Orth , Philipp Mondorf , Barbara Plank

Why do some languages like Czech permit free word order, while others like English do not? We address this question by pretraining transformer language models on a spectrum of synthetic word-order variants of natural languages. We observe…

Computation and Language · Computer Science 2026-03-23 Jonas Mayer Martins , Jaap Jumelet , Viola Priesemann , Lisa Beinborn