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In this paper we introduce Latent Tree Language Model (LTLM), a novel approach to language modeling that encodes syntax and semantics of a given sentence as a tree of word roles. The learning phase iteratively updates the trees by moving…

Computation and Language · Computer Science 2016-09-06 Tomas Brychcin

A suffix tree is a data structure used mainly for pattern matching. It is known that the space complexity of simple suffix trees is quadratic in the length of the string. By a slight modification of the simple suffix trees one gets the…

Combinatorics · Mathematics 2016-11-15 Bálint Vásárhelyi

Multilinear Grammar provides a framework for integrating the many different syntagmatic structures of language into a coherent semiotically based Rank Interpretation Architecture, with default linear grammars at each rank. The architecture…

Computation and Language · Computer Science 2017-09-18 Dafydd Gibbon , Sascha Griffiths

Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

We study probability distributions over free algebras of trees. Probability distributions can be seen as particular (formal power) tree series [Berstel et al 82, Esik et al 03], i.e. mappings from trees to a semiring K . A widely studied…

Machine Learning · Computer Science 2008-07-21 François Denis , Amaury Habrard , Rémi Gilleron , Marc Tommasi , Édouard Gilbert

The task of translating between programming languages differs from the challenge of translating natural languages in that programming languages are designed with a far more rigid set of structural and grammatical rules. Previous work has…

Machine Learning · Computer Science 2018-07-06 Mehdi Drissi , Olivia Watkins , Aditya Khant , Vivaswat Ojha , Pedro Sandoval , Rakia Segev , Eric Weiner , Robert Keller

Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure of parse trees and other tree-structured data, such as XML. We…

Logic in Computer Science · Computer Science 2015-07-01 Rajeev Alur , Marcelo Arenas , Pablo Barcelo , Kousha Etessami , Neil Immerman , Leonid Libkin

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

Artificial Intelligence · Computer Science 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt

Programming in Prolog is hard for programmers that are used to procedural coding. In this manual the method of drawing search trees is introduced with the aim to get a better understanding of how Prolog works. After giving a first example…

Programming Languages · Computer Science 2020-01-23 Johan Bos

We investigate the complexity of satisfiability for finite-variable fragments of propositional dynamic logics. We consider three formalisms belonging to three representative complexity classes, broadly understood,---regular PDL, which is…

Logic in Computer Science · Computer Science 2019-09-16 Mikhail Rybakov , Dmitry Shkatov

Formal XAI (explainable AI) is a growing area that focuses on computing explanations with mathematical guarantees for the decisions made by ML models. Inside formal XAI, one of the most studied cases is that of explaining the choices taken…

Machine Learning · Computer Science 2022-07-26 Marcelo Arenas , Pablo Barceló , Miguel Romero , Bernardo Subercaseaux

We apply decision tree induction to the problem of discourse clue word sense disambiguation with a genetic algorithm. The automatic partitioning of the training set which is intrinsic to decision tree induction gives rise to linguistically…

cmp-lg · Computer Science 2008-02-03 Eric V. Siegel , Kathleen R. McKeown

A substantial thread of recent work on latent tree learning has attempted to develop neural network models with parse-valued latent variables and train them on non-parsing tasks, in the hope of having them discover interpretable tree…

Computation and Language · Computer Science 2018-08-31 Phu Mon Htut , Kyunghyun Cho , Samuel R. Bowman

Tree-structured recursive neural networks (TreeRNNs) for sentence meaning have been successful for many applications, but it remains an open question whether the fixed-length representations that they learn can support tasks as demanding as…

Computation and Language · Computer Science 2015-05-15 Samuel R. Bowman , Christopher Potts , Christopher D. Manning

We study the compressed representation of a ranked tree by a (string) straight-line program (SLP) for its preorder traversal, and compare it with the well-studied representation by straight-line context free tree grammars (which are also…

Formal Languages and Automata Theory · Computer Science 2015-09-29 Moses Ganardi , Danny Hucke , Markus Lohrey , Eric Noeth

Context-free languages can be characterized in several ways. This article studies projective linearisations of languages of simple dependency trees, i.e., dependency trees in which a node can govern at most one node with a given syntactic…

Formal Languages and Automata Theory · Computer Science 2024-01-17 Carles Cardó

Logical fallacy uses invalid or faulty reasoning in the construction of a statement. Despite the prevalence and harmfulness of logical fallacies, detecting and classifying logical fallacies still remains a challenging task. We observe that…

Computation and Language · Computer Science 2024-10-17 Yuanyuan Lei , Ruihong Huang

This papers develops a logical language for representing probabilistic causal laws. Our interest in such a language is twofold. First, it can be motivated as a fundamental study of the representation of causal knowledge. Causality has an…

Artificial Intelligence · Computer Science 2009-04-13 Joost Vennekens , Marc Denecker , Maurice Bruynooghe

Text generation is a fundamental building block in natural language processing tasks. Existing sequential models performs autoregression directly over the text sequence and have difficulty generating long sentences of complex structures.…

Computation and Language · Computer Science 2018-08-16 Qipeng Guo , Xipeng Qiu , Xiangyang Xue , Zheng Zhang

Several variants of linear logic have been proposed to characterize complexity classes in the proofs-as-programs correspondence. Light linear logic (LLL) ensures a polynomial bound on reduction time, and characterizes in this way polynomial…

Logic in Computer Science · Computer Science 2017-01-09 Matthieu Perrinel
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