185,975 research outputs found
Improved Lipschitz approximation of -perimeter minimizing boundaries
No full textWe prove two new approximation results of -perimeter minimizing boundaries
by means of intrinsic Lipschitz functions in the setting of the Heisenberg
group with . The first one is an improvement of a result
of Monti and is the natural reformulation in of the classical
Lipschitz approximation in . The second one is an adaptation of
the approximation via maximal function developed by De Lellis and Spadaro.Comment: 25 page
Electronic Dictionaries for Information Retrieval, Automatic Textual Analysis and Semantic-Based Data Mining Software
No full textToday Lexicon-Grammar (LG) remains one of the most consistent
Natural Language Processing (NLP) approaches, especially for
Semantic-Based Data Mining (SBDM) and Semantic Web. Its main goal
is to describe all mechanisms of word combinations closely related to the
concrete use of lexical units and to sentence creation. Also, it gives an
exhaustive description of lexical and syntactic structures of several
languages. LG was set up by the French linguist Maurice Gross during
the ‘60s, and subsequently developed for and applied to Italian by
Annibale Elia, Emilio D’Agostino and Maurizio Martinelli. Its
theoretical approach is prevalently based on Zelig Sabbettai Harris’
Operator-Argument Grammar, which assumes that each human language
is a self-organizing system, and that the syntactic and semantic properties
of a given word may be calculated on the basis of the relationships this
word has with all other co-occurring words inside given sentence
contexts. Simple sentences2 are the minimal linguistic meaning structures
upon which LG founds its studies on natural language syntactic features.
In the last twenty years, LG has also reached important results in the
domain of automatic textual analysis and parsing with NLP-oriented
software such as INTEX3, UNITEX4, and more recently NOOJ5.
1 Alberto Postiglione is author of paragraph 4.1. Mario Monteleone is author of
paragraphs 3.1 and 4. Federica Marano is author of paragraphs 3.2 and 4.3. Johanna
Monti is author of sections 1 and 2. Antonella Napoli is author of paragraph 4.2.
2 In LG, a simple sentence is formed by a unique predicative element (a verb, but
also a name or an adjective) plus all the necessary arguments it selects to achieve
acceptability and grammaticality. The study of simple sentences is completed analyzing
the rules of co-occurrence and selection restriction, which are distributional and
transformational rules based on predicate syntactic-semantic properties.
3 For more on INTEX, see http://intex.univ-fcomte.fr/.
4 For more on UNITEX, see http://www-igm.univ-mlv.fr/~unitex/.
5 For more on NooJ, see http://www.nooj4nlp.net/pages/nooj.html.
ALBERTO POSTIGLIONE - MARIO MONTELEONE -
FEDERICA MARANO - JOHANNA MONTI - ANTONELLA NAPOLI1
Università degli Studi di Salerno
ELECTRONIC DICTIONARIES FOR INFORMATION RETRIEVAL,
AUTOMATIC TEXTUAL ANALYSIS AND SEMANTIC-BASED
DATA MINING SOFTWARE
1. Theoretical and analytical framework: Lexicon-Gramma
Nuovi bisogni sociali, nuovi soggetti, nuove emergenze abitative....vecchie e nuove risposte
No full textpresentazione del libro contenente una rassegna internazionale di progetti per l'housing a basso costo ed alta efficienza energetic
Positive solutions of anisotropic Yamabe-type equations in
No full textWe study entire positive solutions to the partial differential equa-
tion in Rn , n+2
∆x u + (α + 1)2 |x|2α ∆y u = −|x|2α u n−2 ,
where x ∈ R 2 , y ∈ Rn−2 , n ≥ 3 and α > 0. We classify positive solutions with
second order derivatives satisfying a suitable growth near the set x = 0
Corners in non-equiregular sub-Riemannian manifolds
No full textWe prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results of [G.P. Leonardi and R. Monti, Geom. Funct. Anal. 18 (2008) 552-582]. As an application of our main result we complete and simplify the analysis in [R. Monti, Ann. Mat. Pura Appl. (2013)], showing that in a 4-dimensional sub-Riemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth
THE REGULARITY PROBLEM FOR GEODESICS OF THE CONTROL DISTANCE
No full textIn this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory
Isoperimetric inequality in the Grushin plane
No full textIn this article, we prove a sharp isoperimetric inequality in the generalized Grushin plane depending on a parameter . For each we compute the corresponding isoperimetric sets. We also discuss the connection of the problem with the Heisenberg isoperimetric problem
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