English Version

CONTRACT IDEI 1005 nr. 434/1.10.2007

Descriere succinta a proiectului de cercetare

Proiectul abordeaza mai multe directii actuale de cercetare din algebra necomutativa: algebre Hopf si algebre quasi-Hopf, coinele, categorii braided monoidale, module ingemanate, functori involutivi, arbori binari. Obiectivele proiectului sunt:
1. Obtinerea unor rezultate de clasificare pentru algebre Hopf si algebre quasi-Hopf finit dimensionale.
2. Studiul functorilor tare involutivi pe categorii abstracte si obtinerea unor teoreme generale de tip Moore-Penrose.
3. O teorie a coinelelor in categorii braided monoidale ce admit conuclee, cu aplicatii in teoria structurilor ingemanate.
4. Realizarea unui studiu sistematic al modulelor ingemanate in categorii braided monoidale si descrierea acestora ca si categorii de comodule peste un coinel sau ca si categorii de module peste o algebra monoidala.
5. Unificarea rezultatelor obtinute in ceea ce priveste categoriile de module Hopf peste diverse algebre Hopf sau generalizari ale acestora folosind limbajul si tehnicile categoriilor braided monoidale.
6. Folosind limbajul categoriilor braided monoidale, sa gasim conditii necesare si suficiente pentru care structura de algebra data de un produs smash indus de un braiding local si cea de coalgebra data de un coprodus smash (indusa de asemenea de un braiding local) sa ofere unui anumit obiect o structura de bialgebra si, respective, de algebra Hopf in categorie.
7. O K-teorie pentru coalgebre si algebre Hopf.
8. Abordarea unor probleme de combinatorica privind arborii binari cu ajutorul unor structuri algebrice cuantice.

Echipa de cercetare este alcatuita din trei cercetatori cu experienta si doi doctoranzi.
Tematica celor doua teze de doctorat se incadreaza in obiectivele acestui proiect.

Director de proiect

Prof.dr. Constantin Nastasescu, Facultatea de Matematica si Informatica a Universitatii din Bucuresti.

Seminarii de lucru

 Data  Titlul seminarului
 9.10.2007  Clasificarea algebrelor Hopf finit dimensionale
 12.11.2007  Studiul functorilor involutivi
 10.12.2007  Conceptului de coinel intr-o categorie monoidala
 20.02.2008  Studiul modulelor ingemanate cu ajutorul C-categoriilor
 21.04.2008  Clasificarea algebrelor Hopf punctuate
 22.05.2008  Deformari ale algebrelor graduate
 25.09.2008  Unificarea categoriilor de module Hopf definite peste diferite tipuri de algebra Hopf generalizate
 12.11.2008  Studiul unor ecuatii neliniare
 19.12.2008  Studiul coactiunilor pe spatii de morfisme
 04.02.2009  Studiul algebrelor Hopf co-Frobenius
 30.03.2009  Algebre Hopf incrucisate in categorii braided
 19.06.2009  Coactiuni de algebre Hopf
 24.09.2009  Algebre Hopf de dimensiune finita

Echipa de cercetare a grantului:



Cercetare sprijinita financiar de acest grant:

1. G. Barad, On a remark of Loday about the associahedron and algebraic K-theory, An.St. Univ. Ovidius Constanta vol.16 (1), 5-18, 2008.
2. M. C. Iovanov, C. Nastasescu, J. B. Torrecillas, The Dickson subcategory splitting conjecture for pseudocompact algebras, J. Algebra 320 , 2144-2155, 2008.
3. G. Barad, Finding Eulerian cycle decompositions and the rotation distance between binary trees, Bull. Math. Soc. Sci. Math. Roumanie, Tome 51(99), no 1, 21-38, 2008.
4. S. Dascalescu, Group gradings on diagonal algebras, Arch. Math. 91, No. 3, 212-217 (2008).
5. M. Beattie, D. Bulacu, Braided Hopf algebras obtained from coquasitriangular Hopf algebras, Commun. Math. Phys. 282, 115-160, 2008.
6. F. I. Castano, N. Chifan, C. Nastasescu, Localization on certain Grothendieck categories, Acta Mathematica Sinica, English Series Vol. 25, No. 3, 379-392, 2009.
7. S. Dascalescu, C. Nastasescu, M. Nastasescu, Strongly involutory functors, Commun. Algebra 37, No. 5, 1677-1689, 2009.
8. L. Daus, C. Nastasescu, F. Van Oystaeyen, V-Categories: Applications to Graded Rings, Commun. Algebra 37, No. 9, 3248 - 3258, 2009.
9. M. Beattie, D. Bulacu, On the Antipode of a Co-Frobenius (Co)Quasitriangular Hopf Algebra, Commun. Algebra 37, No. 9, 2981 - 2993, 2009.
10. D. Bulacu, S. Caenepeel, J. B. Torrecillas, Involutory quasi-Hopf algebras, Algebr. Represent. Theory 12, No. 2-5, 257-285, 2009.
11. G. Barad, A nonlinear equation which unify the quantum Yang-Baxter equation and the Pentagonal equation. A Hopf algebra approach, acceptata spre publicare in Bull. Math. Soc. Sci. Math. Roumanie, 2009.

In iunie 2008 G. Barad a obtinut titlul de doctor in matematica la U.B. cu teza "Transformari locale de structuri : flipuri triangulare, rotatii de arbori binari si obstructii combinatoriale de sortare", coordonator Prof. C. Nastasescu.




Raportari

Prof.dr. Florentina Hristea

 

Prof. dr. Hristea Florentina
Adresa:
Universitatea din Bucuresti
Facultatea de Matematica si Informatica
Catedra de informatica
Str. Academiei nr. 14
Bucuresti, sector 1, cod 010014


Adresa pentru corespondenta:
Casuta postala 82-9
Bucuresti, sector 4, cod 042400


Tel.: 40-2-1-4610982;



Educatie: Absolventa in 1984 a Facultatii de Matematica, Universitatea Bucuresti.

Teza de doctorat: "Analiza sensibilitatii unor modele statistice la prezenta valorilor de selectie discordante", 1996.

Pozitii academice:
- Asistent (1992-1996);
- Lector (1996-2003);
- Conferentiar (incepand din anul 2003).


Activitate didactica: In prezent preda urmatoarele cursuri la Facultatea de Matematica si Informatica a Universitatii din Bucuresti:
  Inteligenta artificiala - pentru studentii anului al II-lea ai sectiei "Informatica" si studentii anului al III-lea al sectiei "Matematica-Informatica"
  Procesarea limbajului natural si tehnologia limbajului - pentru studentii anului I la Master, sectia "Inteligenta artificiala"
  Semantica computationala cu aplicatii in regasirea informatiei - pentru studentii anului al II-lea la Master, sectia "Inteligenta artificiala"


Domenii de interes stiintific: Inteligenta artificiala; Specializari: Reprezentarea cunostintelor; Procesarea limbajului natural; Statistica computationala si analiza datelor cu aplicatii in procesarea limbajului natural.

  Coeditor al « Central European Journal of Computer Science » (Versita si Springer Verlag);
  Membru al « Editorial Review Board » pentru « Artificial Intelligence Research » (Sciedu Press, Canada)
  Membru ales al IRF (Information Retrieval Facility);
  Membru ales al ISI (International Statistical Institute);
  Membru al GWA (Global WordNet Association);
  Bursier Fulbright la Universitatea Princeton din S.U.A. in domeniul inteligentei artificiale (Laboratorul de Stiinte Cognitive, 2004).
  Profesor invitat la Universitatea din Toulouse, Octombrie 2011



PUBLICATII SELECTIVE:

CARTI DE SPECIALITATE

  1. Aspecte ale reprezentarii cunostintelor cu aplicatii in procesarea limbajului natural. Editura Universitatii din Bucuresti, 2011 (283 pagini).
  2. Introducere in procesarea limbajului natural. Editura Universitatii din Bucuresti, 2010 (335 pagini).
  3. Cautarea si reprezentarea cunostintelor in inteligenta artificiala. Teorie si aplicatii (cu M.F. Balcan). Editura Universitatii din Bucuresti, 2005 (364 pagini).
  4. Introducere in procesarea limbajului natural cu aplicatii in Prolog. Editura Universitatii din Bucuresti, 2000 (318 pagini).

CURSURI SI MANUALE

  1. Aspecte ale cautarii si reprezentarii cunostintelor in inteligenta artificiala (cu M.F. Balcan), Editura Universitatii din Bucuresti, 2004.
  2. Norton Commander 4.0. Norton Utilities 7.0 si 8.0 (cu D. Enachescu si R. Balint), Editura Tehnica, 1994.
  3. Sistemul de programe Norton Commander, Editura Tehnica, 1992.

EDITOR SI COAUTOR DE MONOGRAFIE

  1. Building Awareness in Language Technology (editori Florentina Hristea si Marius Popescu). Bucuresti, Editura Universitatii din Bucuresti, 2003.

CAPITOLE IN CARTI DE SPECIALITATE

  1. "On the Semiautomatic Generation of WordNet Type Synsets and Clusters with Special Reference to Romanian", in: Building Awareness in Language Technology (editori Florentina Hristea si Marius Popescu). Bucuresti, Editura Universitatii din Bucuresti, p. 113-140, 2003 (in lb. engleza).
  2. "A Dependency Grammar Approach to Syntactic Analysis with Special Reference to Romanian" (cu M. Popescu), in: Building Awareness in Language Technology (editori Florentina Hristea si Marius Popescu). Bucuresti, Editura Universitatii din Bucuresti, p. 9-34, 2003.

INSERARE IN ENCICLOPEDIE

  1. "Outlier Detection, Hristea Algorithm". Encyclopedia of Statistical Sciences, 2nd ed., Vol. 9; N. Balakrishnan, Campbell B. Read, and Brani Vidakovic, Editors-in-Chief. John Wiley & Sons, Inc., New York, p. 5885-5886, 2005.

ARTICOLE STIINTIFICE IN REVISTE CU REFERENTI

  1. Feeding Syntactic Versus Semantic Knowledge to a Knowledge-lean Unsupervised Word Sense Disambiguation Algorithm with an Underlying Naïve Bayes Model (cu M. Colhon). Fundamenta Informaticae, 2012 (sub tipar).
  2. Unsupervised Word Sense Disambiguation with N-Gram Features (cu D. Preotiuc). Artificial Intelligence Review, 2012, DOI 10.1007/s10462-011-9306-y (sub tipar).
  3. State of the Art Versus Classical Clustering for Unsupervised Word Sense Disambiguation (cu M. Popescu). Artificial Intelligence Review, 2011, Vol.35, Nr.3, DOI 10.1007/s10462-010-9193-7. p.241-264.
  4. Syntactic Relations in the Context of Performing Word Sense Disambiguation (cu M.Colhon). Journal of Knowledge, Communications and Computing Technologies, Vol. II, Nr. 2, 2010, p. 1-9.
  5. Performing Word Sense Disambiguation at the Border Between Unsupervised and Knowledge-Based Techniques (cu M. Popescu si M. Dumitrescu). Artificial Intelligence Review, 2009, Vol. 30, Issue 1, DOI 10.1007/s10462-009-9117-6, p. 67.
  6. Recent Advances Concerning the Usage of the Naive Bayes Model in Unsupervised Word Sense Disambiguation. International Review on Computers and Software, Vol. 4, Nr. 1, 2009, p. 58-67.
  7. Adjective Sense Disambiguation at the Border Between Unsupervised and Knowledge-based Techniques (cu M. Popescu). Fundamenta Informaticae, Vol. 91, Nr. 3-4, 2009, p. 547-562.
  8. On the Usage of the Naive Bayes Model in Unsupervised Word Sense Disambiguation. International Review on Computers and Software, Vol.3, no. 6, 2008, p. 572-578.
  9. Semiautomatic Generation of WordNet Type Synsets and Clusters Using Class Methods. An Overview. Revue Roumaine de Linguistique, VOL. LII, Issues 1-2, 2007, p. 97-133.
  10. Towards Building a WordNet Noun Ontology (cu G. Miller). Revue Roumaine de Linguistique, VOL. LI, Issues 3-4, 2006, p. 405-413.
  11. On Some Romanian Text Summarization Contributions (cu M. Popescu). Revue Roumaine de Linguistique, VOL. LI, Issues 3-4, 2006, p. 507-509.
  12. WordNet Nouns: Classes and Instances (cu G. Miller). Computational Linguistics, Volume 32, Number 1, 2006, p.1-3
  13. On the semiautomatic generation of verb synsets in languages other than English, Analele Univ. Buc., ANO LII, p.75-86, 2003.
  14. On the semiautomatic generation of WordNet type synsets and clusters, Journal of Universal Computer Science (J.UCS), Vol.8, no.12, 2002, p.1047-1064.
  15. On the use of MAICE for the detection of outliers in a linear regression model, Mathematical Reports, Vol.4 (54), No.2, 2002, p.177-190.
  16. On the diagnosis of influential observations in multidimensional linear regression, Mathematical Reports, No.4, 1999, p.545-550.
  17. On WG syntactic analysis with special reference to Romanian, Analele Univ. Buc., No.1, 1998, p.59-69.
  18. A Word Grammar approach to syntactic analysis with special reference to Romanian, (cu M.Popescu), Analele Univ. Buc., Special Issue, 1998, p.101-113.
  19. On multiple response outliers of additive nature in a linear regression model, Revue Roumaine de Mathematiques Pures et Appliquees, No.3-4, 1998, p.393-405.
  20. An algorithm for the detection of outliers in the case of the normal distribution, Mathematical Reports, No.5-6, 1997, p.339-342.
  21. On single distribution outlying pairs in a linear regression model, Analele Univ. Buc., XLVI, 1997, p.27-34.
  22. On single carrier outliers in a linear regression model, Foundations of Decision and Computing Sciences, Vol.21, No.3, 1996, p.125-136.
  23. On single additive outliers in the linear regression model, Analele Univ. Buc., No.2, 1996, p.53-64.
  24. On the masking effect concerning some tests for single upper outliers in the case of an exponential sample, Foundations of Decision and Computing Sciences, Vol.20, No.1, 1995, p.37-48.
  25. On the performances of an outlier test in the case of the exponential distribution (cu D.Enachescu si M.Dumitrescu), Computational Statistics and Data Analysis, No.17, 1994, p.119-127.
  26. A codification of column-convex polyominoes which generates a regular language (cu V. Domocos), Bulletin of the European Association for Theoretical Computer Science, No.50, 1993, p.197-208.
  27. On the performances of a test for a single upper outlier in an exponential sample (cu D.Enachescu), Analele Univ. Buc., No.2, 1992, p.61-69.
  28. On stepwise procedures for the rejection of outliers in a normally distributed population (cu R.Niculescu si D.Enachescu), Analele Univ. Buc., No.1-2, 1990, p.14-26.

CEL MAI RECENT PROIECT DE CERCETARE-DEZVOLTARE; director de proiect:

Proiectul BALRIC-LING finantat de Comisia Europeana.



ultima actualizare: 25 iunie 2012


2002 - 2015 -- Facultatea de Matematica si Informatica, Universitatea din Bucuresti
Str. Academiei nr. 14, sector 1, C.P. 010014, Bucuresti, Romania
Tel: (4-021) 314 2863, Fax: (4-021) 315 6990, secretariat  fmi.unibuc.ro