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With the increasing empirical success of distributional models of compositional semantics, it is timely to consider the types of textual logic that such models are capable of capturing. In this paper, we address shortcomings in the ability…

Computation and Language · Computer Science 2013-06-11 Karl Moritz Hermann , Edward Grefenstette , Phil Blunsom

The constant $C_A(n)$ is defined to be the smallest natural number $k$ such that any sequence of $k$ elements in $\mathbb Z_n$ has a subsequence of consecutive terms whose $A$-weighted sum is zero, where the weight set $A\subseteq \mathbb…

Number Theory · Mathematics 2022-10-25 Santanu Mondal , Krishnendu Paul , Shameek Paul

Discriminative patterns are association patterns that occur with disproportionate frequency in some classes versus others, and have been studied under names such as emerging patterns and contrast sets. Such patterns have demonstrated…

Databases · Computer Science 2011-02-22 Gang Fang , Wen Wang , Benjamin Oatley , Brian Van Ness , Michael Steinbach , Vipin Kumar

Relationship-aware sequential pattern mining is the problem of mining frequent patterns in sequences in which the events of a sequence are mutually related by one or more concepts from some respective hierarchical taxonomies, based on the…

Databases · Computer Science 2012-12-24 Nabil Stendardo , Alexandros Kalousis

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

In this paper we introduce {\em weak ascent sequences}, a class of number sequences that properly contains ascent sequences. We show how these sequences uniquely encode each of the following objects: permutations avoiding a particular…

Combinatorics · Mathematics 2022-10-11 Beáta Bényi , Anders Claesson , Mark Dukes

Estimating the parameters of probabilistic models of language such as maxent models and probabilistic neural models is computationally difficult since it involves evaluating partition functions by summing over an entire vocabulary, which…

Machine Learning · Computer Science 2014-10-31 Chris Dyer

Frequent temporal patterns discovered in time-interval-based multivariate data, although syntactically correct, might be non-transparent: For some pattern instances, there might exist intervals for the same entity that contradict the…

Machine Learning · Computer Science 2021-01-12 Alexander Shknevsky , Yuval Shahar , Robert Moskovitch

Sentence matching is widely used in various natural language tasks such as natural language inference, paraphrase identification, and question answering. For these tasks, understanding logical and semantic relationship between two sentences…

Computation and Language · Computer Science 2018-11-05 Seonhoon Kim , Inho Kang , Nojun Kwak

We present four constructions of inversion sequences, and use them to compute the enumeration sequences of 24 classes of pattern-avoiding inversion sequences. This completes the enumeration of inversion sequences avoiding one or two…

Combinatorics · Mathematics 2025-11-25 Benjamin Testart

A weakly consecutive sequence (WCS) is a permutation $\sigma$ of $\{1, \ldots, k\}$ such that if an integer $d$ divides $\sigma(i)$, then $d$ also divides $\sigma(i \pm d)$ insofar as these are defined. The structure of weakly consecutive…

Combinatorics · Mathematics 2024-01-19 Thomas Garrison , Chris Seiler , Andrew Knowles

Haskell functions are defined as a series of clauses consisting of patterns that are matched against the arguments in the order of definition. In case an input is not matched by any of the clauses, an error occurs. Therefore it is desirable…

Programming Languages · Computer Science 2019-09-11 Pavel Kalvoda , Tom Sydney Kerckhove

We develop the technique of reduced word manipulation to give a range of results concerning reduced words and permutations more generally. We prove a broad connection between pattern containment and reduced words, which specializes to our…

Combinatorics · Mathematics 2017-03-24 Bridget Eileen Tenner

Negation in natural language does not follow Boolean logic and is therefore inherently difficult to model. In particular, it takes into account the broader understanding of what is being negated. In previous work, we proposed a framework…

Computation and Language · Computer Science 2022-11-04 Razin A. Shaikh , Lia Yeh , Benjamin Rodatz , Bob Coecke

A pattern class is a set of permutations closed under the formation of subpermutations. Such classes can be characterised as those permutations not involving a particular set of forbidden permutations. A simple collection of necessary and…

Combinatorics · Mathematics 2007-05-23 M. H. Albert , M. D. Atkinson , Robert Brignall

Despite pre-trained language models have proven useful for learning high-quality semantic representations, these models are still vulnerable to simple perturbations. Recent works aimed to improve the robustness of pre-trained models mainly…

Computation and Language · Computer Science 2021-07-02 Dong Wang , Ning Ding , Piji Li , Hai-Tao Zheng

This paper presents a substructural logic of sequents with very restricted exchange and weakening rules. It is sound with respect to sequences of measurements of a quantic system. A sound and complete semantics is provided. The semantic…

Quantum Physics · Physics 2023-07-19 Daniel Lehmann

Sentence compression is the task of creating a shorter version of an input sentence while keeping important information. In this paper, we extend the task of compression by deletion with the use of contextual embeddings. Different from…

Information Retrieval · Computer Science 2020-06-08 Minh-Tien Nguyen , Bui Cong Minh , Dung Tien Le , Le Thai Linh

We aim to mine temporal causal sequences that explain observed events (consequents) in time-series traces. Causal explanations of key events in a time-series has applications in design debugging, anomaly detection, planning, root-cause…

Machine Learning · Computer Science 2021-01-26 Antonio Anastasio Bruto da Costa , Pallab Dasgupta

Following a question of J. Cooper, we study the expected number of occurrences of a given permutation pattern $q$ in permutations that avoid another given pattern $r$. In some cases, we find the pattern that occurs least often, (resp. most…

Combinatorics · Mathematics 2009-10-08 Miklos Bona
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