Barbarino Giovanni

Tesi Triennale :

Tesi Magistrale :

Tesis di Dottorato:

Topics in Low Rank Factorization and Data Analysis 2024:

• PCA
  • Note scritte a mano per PCA: PDF [ENG]
  • Video per la Lezione 3: Zip [ENG]
  • Video per la Lezione 4: Mp4 [ENG]
  • Dati Sessione PCA: Zip [ENG]
  • Codici Sessione PCA: Zip [ENG]
• Clustering
  • Note scritte a mano per Clustering: PDF [ENG]
  • Dati Sessione Clustering: Zip
  • Codici Sessione Clustering: Zip [ENG]
• NMF
  • Note scritte a mano per NMF: PDF [ENG]
  • Slides e video per NMF: ZIP [ENG]
  • Dati Sessione NMF: Zip
  • Codici Sessione NMF: Zip [ENG]

Gruppi e Algebre di Lie 2018:

• Appunti: Pdf [ENG]

Metodi Numerici per la Grafica 2018:

• Appunti: Pdf [ENG]

Metodi di Krylov e Applicazioni 2018:

• Appunti: Pdf [ENG]

Teoria dei Giochi 2018:

• Appunti: Pdf [ITA]

Algoritmi e Strutture Dati :

• Motore di Ricerca Twitter per terminale: Zip [ITA]

Calcolo Scientifico :

• Relazione su Lars Eldén , 2002, Partial least-squares vs. Lanczos Bidiagonalization-I: analysis of a projection method for multiple regression: PDF [ITA]
• Esperimenti su PLS, PCR, LBD e Gradiente Coniugato: Slides [ITA]
• funzioni Octave usate: Zip [ITA]

Linguaggi di Programmazione:

• Un modello fully abstract del PCF, in collaborazione con Gianluca Grilletti: Slides [ITA]

Laboratorio Computazionale :

• Problema di Estrazione di Bi-Clique Massimali: PDF [ENG]

Schemi 2015:

• Appunti [ITA]

Elementi di Algebra Computazionale 2015:

• Appunti del corso, con autore principale Carlo Sircana: PDF [ITA]
• Jacobi Symbol e il suo calcolo: PDF [ENG]
• Programmi usati per il calcolo del Jacobi Symbol: Zip

Ottimizzazione :

• Algoritmi per Metodi di Piani di Taglio: PDF [ITA]
• Programmi per l'implementazione degli Algoritmi: Zip [ITA]

Gruppi e Rappresentazioni 2016:

• Appunti: PDF [ITA]

Elementi di GEometria Algebrica 2016:

• Appunti del corso, i cui autori principali sono Riccardo Morandin, Viola Siconolfi: PDF [ITA]

Teoria dei Codici e Crittografia 2016:

• Appunti del corso, in collaborazione con Riccardo Morandin, Carlo Sircana: PDF [ITA]
• Codici di Reed-Muller e decodifica: PDF [ITA]

Reti Neurali :

• Interfaccia semplice in C++ per Reti Neurali: Zip [ENG]

Articoli, Preprint e Note:

• Barbarino G., Claesson M., Ekström S.-E., Garoni C., Meadon D., Speleers H.
  Matrix-less spectral approximation for large structured matrices
  Bit Numer Math 65, 2 (Mar 2025)
• Barbarino G., Ekström S.-E., Garoni C., Meadon D., Serra-Capizzano S., Vassalos P.
  From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
  Journal of Numerical Mathematics - to appear (Feb 2025).
• Barbarino G., Fanizza M., Giovannetti V., Mele F. A.
  Achievable rates in non-asymptotic bosonic quantum communication
  Arxiv (Feb 2025)
• Barbarino G., Garoni C.
  GLT sequences and normal matrices
  The Electronic Journal of Linear Algebra 41, pp. 1-20 (Gen 2025)
• Barbarino G., Orlitzky M.
  The uniqueness of Lyapunov rank among symmetric cones
  Bozza (Dic 2024)
• Barbarino G., Gillis N.
  On the Robustness of the Successive Projection Algorithm
  Arxiv (Dic 2024)
• Barbarino G.
  Ergodic Estimations for Toeplitz Sequences Generated by a Symbol
  Arxiv (Dic 2024).
• Abdolali M., Barbarino G., Gillis N.
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization
  SIAM Journal on Imaging Sciences 17(4), 2362-2391 (Dic 2024) - PDF
• Barbarino G., Cavassi R., Cicone A.
  Extension and convergence analysis of Iterative Filtering to spherical data
  Linear Algebra and its Applications, in press (Giu 2024) - PDF
• Barbarino G., McWhirter J.G., Pestana J., Proudler I., Weiss S.
  On Properties and Structure of the Analytic Singular Value Decomposition
  IEEE Transactions on Signal Processing 72, pp. 2260-2275 (Apr 2024) - PDF .
• Barbarino G.,
  On the Periodicity of Singular Vectors and the Holomorphic Block-Circulant SVD on the Unit Circumference
  Linear Algebra and its Applications, in press (Mar 2024) - PDF
• Barbarino G., Cicone A.
  Stabilization and Variations to the Adaptive Local Iterative Filtering Algorithm: the Fast Resampled Iterative Filtering Method
  Numerische Mathematik 156, 395-433 (Gen 2024) - Online - PDF
• Barbarino G., Ekström S.-E., Garoni C., Meadon D., Serra-Capizzano S., Vassalos P.
  Spectral properties of flipped Toeplitz matrices
  Arxiv (Dic 2023).
• Barbarino G., Noferini V.
  On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of ∗-palindromic matrix polynomials
  Linear Algebra and its Applications 672, 1-27 (Set 2023) - PDF
• Barbarino G., Garoni C.
  An extension of the theory of GLT sequences: sampling on asymptotically uniform grids
  Linear and Multilinear Algebra 71, 12, pp. 2008-2025 (Ago 2023) - PDF
• Barbarino G., Noferini V., Van Dooren P.
  Role extraction for digraphs via neighborhood pattern similarity
  Physical Review E 106 (5), 054301 (Nov 2022) - PDF
• Barbarino G., Cicone A.
  Conjectures on spectral properties of ALIF algorithm
  Linear Algebra and Its Applications, 647, pp. 127–152 (Ago 2022) - PDF
• Barbarino G., Ekström S.-E., Serra-Capizzano S., Vassalos P.
  Theoretical results for eigenvalues, singular values, and eigenvectors of (flipped) Toeplitz matrices and related computational proposals
  Arxiv (Lug 2022).
• Barbarino G., Noferini V.
  The limit empirical spectral distribution of complex matrix polynomials
  Random Matrices: Theory and Applications 11, 3 (Lug 2022) - PDF
• Barbarino G., Garoni C., Mazza M., Serra-Capizzano S.
  Rectangular GLT sequences
  Electronic Transactions on Numerical Analysis. Volume 55 (Jun 2022) 585--617 - PDF
• Barbarino G., Bianchi D., Garoni C.
  Constructive approach to the monotone rearrangement of functions
  Expositiones Mathematicae 40, 1 (Mar 2022) 155--175 - PDF
• Barbarino G., Noferini V.
  The limit empirical spectral distribution of Gaussian monic complex matrix polynomials
  Journal of Theoretical Probability, (Feb 2022) - PDF
• Barbarino G.
  A systematic approach to reduced GLT
  Bit Numer Math 62, 3 (Set 2021) 681--743 - PDF
• Barbarino G., Serra-Capizzano S.
  Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations
  Numer Linear Algebra Appl. 2020;e2286 (Mar 2020) - PDF
• Barbarino G., Garoni C., Serra-Capizzano S.
  Block Generalized Locally Toeplitz Sequences: Theory and Applications in the Multidimensional Case
  Electronic transactions on numerical analysis ETNA 53:1 (Gen 2020) - PDF
• Barbarino G., Garoni C., Serra-Capizzano S.
  Block Generalized Locally Toeplitz Sequences: Theory and Applications in the Unidimensional Case
  Electronic transactions on numerical analysis ETNA 53:1 (Gen 2020) - PDF
• Barbarino G.
  Spectral Measures
  Structured Matrices in Numerical Linear Algebra. Springer INdAM Series, vol 30 (Apr 2019) - PDF
• Barbarino G.
  Notes on asymptotic eigenvalues distribution on complex circles
  Arxiv (2018)
• Barbarino G.
  Conjectures on Perturbations of Hermitian Sequences
  Arxiv (2018)
• Barbarino G.
  Diagonal Matrix Sequences and their Spectral Symbols
  Arxiv (2017)
• Barbarino G., Garoni C.
  From convergence in measure to convergence of matrix-sequences through concave functions and singular values
  Electr. J. Linear Algebra 32 (2017) 500--513 - PDF
• Barbarino G.
  Equivalence between GLT sequences and measurable functions
  Linear Algebra Appl. 529 (2017) 397--412 - PDF
• Barbarino G.
  Permutation NMF
  Arxiv (2016)

Conferenze, Scuole Estive e Seminari:

• Progetto “Circular Economy from the Mathematics for Signal Processing prospective” (Dic 2024 - L'Aquila)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• Invited Speaker to Seminar series "PYSANUM" (Pisan Young Seminars in Applied and NUmerical Mathematics) (Nov 2024 - Pisa)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• Invited Speaker at The International Workshop on Structured Matrix and Image Processing (Nov 2024 - Nanjing)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• SOCN Study Day (Ott 2024 - Louvain-La-Neuve)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• Invited Speaker at Workshop on Variational Analysis and Euclidean Jordan algebras (Set 2024 - Rancagua)
  Computational Complexity for Maximal Angle Chasing between Convex Cones [ENG]
• ALAMA 2024 (Giu 2024 - Gijón)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• SIAM LA24 (Mag 2024 - Parigi)
  Ergodic Estimations for Toeplitz Sequences [ENG]
• XXII Congresso dell’Unione Matematica Italiana (Set 2023 - Pisa)
  The Fast Resampled Iterative Filtering Method
• Invited Speaker at Foundations of Computational Mathematics FoCM (Giu 2023 - Parigi)
  Role Extraction for Digraphs via Neighbourhood Pattern Similarity [ENG]
• ILAS LAA Early Career Award, Early Career Speakers at 25th Conference of the International Linear Algebra Society (Giu 2023 - Madrid)
  On the eigendecomposition of para-Hermitian matrices
• Invited Speaker at Mathematics for Signal processing and Applications in Geophysics and other fields MaSAG23 (Mag 2023 - Roma)
  New stability results for IF Methods [ENG]
• Numerical Linear Algebra Days (Mag 2023 - L'Aquila)
  Reduced GLT and Applications [ENG]
• SEminar on Linear algebra and Operator Theory OSELOT (Feb 2023 - Online)
  On the Rellich eigendecomposition of para-Hermitian matrices on the unit circle [Video ENG]
• ALAMA 2022 - ALN2gg (Giu 2022 - Alcalá de Henares)
  Approximation of the Laplace-Beltrami operator by its symbol [ENG]
• NNLA 2022 (Apr 2022 - Helsinki)
  The limit empirical spectral distribution of complex matrix polynomials [ENG]
  
• Invited Speaker - NoSAG 21 (Lug 2021 - L'Aquila)
  Iterative Filtering Algorithms [Video ENG senza voce]
  Slides [ENG]
• CommNLA (Nov 2020 - Online)
  The limit empirical spectral distribution of complex matrix polynomials [Video ENG]
  Link Youtube
• Staff Meeting (Ott 2019 - Helsinki)
  Symbols for matrix-sequences: Application-Driven Structure [ENG]
• Due Giorni di Algebra Lineare ed Applicazioni (Feb 2019 - Roma)
  
• Intelligent Machines and Mathematics (Jan 2019 - Bologna)
  
• Esame del corso di Calcolo Scientifico Parallelo (Inverno 2018)
  Higher order spectral symbols and eigenvalues approximation for Toeplitz matrices [ENG]
• Assemblea del GNCS Indam (Feb 2018 - Montecatini)
• Due Giorni di Algebra Lineare ed Applicazioni (Feb 2018 - Padova)
  Perturbations of Hermitian Matrices and Applications to Spectral Symbols [ENG]
• Seminari a Como (Ott 2017)
  Generalized Locally Toeplitz Sequences: a Link between Measurable Functions and Spectral Symbols [ENG]
  Ordering the Eigenvalues: GLT Symbols and Spectral Measures [ENG]
• INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications (Set 2017 - Cortona)
  Equivalence between GLT sequences and measurable functions [ENG]
• Scuola Estiva CIME-EMS su Splines e PDEs (Lug 2017 - Cetraro)
  Equivalence between GLT sequences and measurable functions [ENG]
• Due Giorni di Algebra Lineare (Feb 2017 - Como)
• Scuola Estiva Roma-Mosca (Estate 2016)
  Permutation NMF [ENG]
• Colloqui all'SNS (Primavera 2015)
  Quasi-Birth and Death Stochastic Processes with an infinite number of phases: asymptotic decay properties [ITA]

• Applied Mathematics and Computation
• Journal of Mathematics
• Mathematical Methods in the Applied Sciences
• BIT Numerical Mathematics
• SIAM Journal on Matrix Analysis and Applications (SIMAX)
• Applied and Computational Harmonic Analysis
• Linear and Multilinear Algebra
• Electronic Journal of Linear Algebra