{{page>inc&noheader&nofooter}} \\ ====== Ilaria Giulini ====== Maître de Conférences Laboratoire de Probabilités, Statistique et Modélisation (LPSM) Université Paris Diderot \\ e-mail : giulini @ math.univ-paris-diderot.fr\\ \\ bureau : 5006 (bat. Sophie Germain)\\ \\ \\ ====== cv ====== \\ 2017 - pres.  Maitre de Conference at Université Paris Diderot \\ 2016 - 2017  ATER at Université Paris Diderot \\ 2015 - 2016  post-doc at INRIA Saclay, team DataShape\\ \\ \\ 2012 - 2015  Ph.D. at DMA, Ecole Normale Superieure, Paris\\     granted by DIM Rdm Idf and Region Ile-de-France\\ \\     PhD defense: 24 September 2015\\     [[https://www.lpsm.paris/pageperso/giulini/PhD_thesis_Giulini.pdf|Generalization bounds for random samples in Hilbert spaces]]\\     supervisor: Olivier Catoni\\ \\ \\ 2007 - 2012  Università degli Studi di Genova\\ \\     20 June 2012, M.Sc Degree in Mathematics\\     [[https://www.lpsm.paris/pageperso/giulini/MThesis.pdf|Compressive sensing and sparse recovery]]\\     supervisor: Ernesto De Vito     21 July 2010, B.Sc. Degree in Mathematics\\     [[https://www.lpsm.paris/pageperso/giulini/BThesis.pdf|Spazi di Hilbert a nucleo riproducente: Teorema di Mercer]]\\     supervisors: Ernesto De Vito, Emanuela Sasso \\ ====== research ====== my main research field is statistical learning. In particular, I am working on\\ * high-dimensional data analysis\\ * PAC-Bayesian learning\\ * spectral clustering \\ PhD thesis [[https://www.lpsm.paris/pageperso/giulini/PhD_thesis_Giulini.pdf|Generalization bounds for random samples in Hilbert spaces]] \\ \\ preprints\\ * Kernel Spectral Clustering; I. Giulini; (2016), http://arxiv.org/pdf/1606.06519v1.pdf   * //Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression//; O. Catoni, I. Giulini; (2017), https://arxiv.org/pdf/1712.02747.pdf \\ publications\\ 2017 \\ * [[https://bguedj.github.io/nips2017/pdf/PAC-Bayes_2017_paper_1.pdf|Dimension free PAC-Bayesian bounds for the estimation of the mean of a random vector]]; O. Catoni, I. Giulini; NIPS-2017 Workshop //(Almost) 50 Shades of Bayesian Learning: PAC-Bayesian trends and insights// * [[https://projecteuclid.org/download/pdfview_1/euclid.ejs/1508292530|Robust PCA and pairs of projections in a Hilbert space]]; I. Giulini; Electronic Journal of Statistics, 11(2):3903-3926, 2017 * Robust dimension-free Gram operator estimates; I. Giulini; Bernoulli Journal, 24(4B):3864-3923, 2018 [[https://arxiv.org/pdf/1511.06259.pdf|]] \\ 2016\\ * [[http://papers.nips.cc/paper/6210-data-driven-estimation-of-laplace-beltrami-operator.pdf|Data driven estimation of Laplace-Beltrami operator]]; F. Chazal, I. Giulini, B. Michel; NIPS-2016, * long version https://hal.inria.fr/hal-01387021 \\