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We give an algorithm for finding the index of a positive outer automorphism of the free group, and prove the algorithm exits in a finite time.

Group Theory · Mathematics 2012-03-01 Yann Jullian

Many applications require categorization of text documents using predefined categories. The main approach to performing text categorization is learning from labeled examples. For many tasks, it may be difficult to find examples in one…

Computation and Language · Computer Science 2018-02-13 Sarai Duek , Shaul Markovitch

Deep generative models have achieved remarkable success in various data domains, including images, time series, and natural languages. There remain, however, substantial challenges for combinatorial structures, including graphs. One of the…

Machine Learning · Computer Science 2018-09-21 Tengfei Ma , Jie Chen , Cao Xiao

We present an empirical investigation of various ways to automatically identify phrases in a tagged corpus that are useful for dialogue act tagging. We found that a new method (which measures a phrase's deviation from an…

Artificial Intelligence · Computer Science 2007-05-23 Ken Samuel , Sandra Carberry , K. Vijay-Shanker

In the online advertising industry, the process of designing an ad creative (i.e., ad text and image) requires manual labor. Typically, each advertiser launches multiple creatives via online A/B tests to infer effective creatives for the…

Computation and Language · Computer Science 2020-12-03 Shaunak Mishra , Manisha Verma , Yichao Zhou , Kapil Thadani , Wei Wang

We analyze the signum-generation method for creating random dichotomic sequences with prescribed correlation properties. The method is based on a binary mapping of the convolution of continuous random numbers with some function originated…

Disordered Systems and Neural Networks · Physics 2012-05-15 S. S. Apostolov , F. M. Izrailev , N. M. Makarov , Z. A. Mayzelis , S. S. Melnyk , O. V. Usatenko

Outer, dual, and total general position sets are studied on strong and lexicographic products of graphs. Sharp lower and upper bounds are proved for the outer and the dual general position number of strong products and several exact values…

Combinatorics · Mathematics 2025-12-16 Pakanun Dokyeesun , Sandi Klavžar , Dorota Kuziak , Jing Tian

Structural balance theory assumes triads in networks to gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for considering…

Social and Information Networks · Computer Science 2020-06-05 Ly Dinh , Rezvaneh Rezapour , Lan Jiang , Jana Diesner

This paper proposes a novel framework for generating lingual descriptions of indoor scenes. Whereas substantial efforts have been made to tackle this problem, previous approaches focusing primarily on generating a single sentence for each…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Dahua Lin , Chen Kong , Sanja Fidler , Raquel Urtasun

Grammatical inference is a machine learning area, whose fundamentals are built around learning sets. At present, real-life data and examples from manually crafted grammars are used to test their learning performance. This paper aims to…

Formal Languages and Automata Theory · Computer Science 2019-11-15 Olgierd Unold , Agnieszka Kaczmarek , Łukasz Culer

Signed graphs, which are characterized by both positive and negative edge weights, have recently attracted significant attention in the field of graph signal processing (GSP). Existing works on signed graph learning typically assume that…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Rong Ye , Xue-Qin Jiang , Hui Feng , Jian Wang , Runhe Qiu

Like [1], we present an algorithm to compute the simulation of a query pattern in a graph of labeled nodes and unlabeled edges. However, our algorithm works on a compressed graph grammar, instead of on the original graph. The speed-up of…

Data Structures and Algorithms · Computer Science 2020-01-15 Stefan Böttcher , Rita Hartel , Sven Peeters

Information visualizations such as bar charts and line charts are very popular for exploring data and communicating insights. Interpreting and making sense of such visualizations can be challenging for some people, such as those who are…

Computation and Language · Computer Science 2020-12-01 Jason Obeid , Enamul Hoque

Log-linear models provide a statistically sound framework for Stochastic ``Unification-Based'' Grammars (SUBGs) and stochastic versions of other kinds of grammars. We describe two computationally-tractable ways of estimating the parameters…

Computation and Language · Computer Science 2007-05-23 Mark Johnson , Stuart Geman , Stephen Canon , Zhiyi Chi , Stefan Riezler

We give a specific method to solve with quadratic complexity the linear systems arising in known algorithms to deal with the sign determination problem. In particular, this enable us to improve the complexity bound for sign determination in…

Algebraic Geometry · Mathematics 2009-12-01 Daniel Perrucci

An attractive mechanism to specify global constraints in rostering and other domains is via formal languages. For instance, the Regular and Grammar constraints specify constraints in terms of the languages accepted by an automaton and a…

Artificial Intelligence · Computer Science 2009-03-04 George Katsirelos , Nina Narodytska , Toby Walsh

For a directed acyclic graph, there are two known criteria to decide whether any specific conditional independence statement is implied for all distributions factorized according to the given graph. Both criteria are based on special types…

Statistics Theory · Mathematics 2009-04-03 Giovanni M. Marchetti , Nanny Wermuth

We present a generalization of first-order unification to a term algebra where variable indexing is part of the object language. We exploit variable indexing by associating some sequences of variables ($X_0,\ X_1,\ X_2,\dots$) with a…

Logic in Computer Science · Computer Science 2024-03-12 David M. Cerna

The paper describes an extensive experiment in inside-outside estimation of a lexicalized probabilistic context free grammar for German verb-final clauses. Grammar and formalism features which make the experiment feasible are described.…

Computation and Language · Computer Science 2007-05-23 Franz Beil , Glenn Carroll , Detlef Prescher , Stefan Riezler , Mats Rooth

This paper presents a unified approach for localizing some relevant graph topological indices via majorization techniques. Through this method, old and new bounds are derived and numerical examples are provided, showing how former results…

Combinatorics · Mathematics 2015-03-27 Alessandra Cornaro , Monica Bianchi , Anna Torriero