Barbarino Giovanni

Tesis Doctoral :

Tesis de Maestría :

Tesis de Licenciatura :

Topics in Low Rank Factorization and Data Analysis 2024:

• PCA
  • Apuntes escritos a mano para las lecciones de PCA: PDF [ENG]
  • Videos para la Lección 3: Zip [ENG]
  • Video para la Lección 4: Mp4 [ENG]
  • Datos Sesión PCA: Zip [ENG]
  • Códigos Sesión PCA: Zip [ENG]
• Clustering
  • Apuntes escritos a mano para las lecciones de Clustering: PDF [ENG]
  • Datos Sesión de Clustering: Zip
  • Códigos Sesión de Clustering: Zip [ENG]
• NMF
  • Apuntes escritos a mano para las lecciones de NMF: PDF [ENG]
  • Diapositivas y video para la Lección de NMF: ZIP [ENG]
  • Datos Sesión NMF: Zip
  • Códigos Sesión NMF: Zip [ENG]

Grupos y Álgebras de Lie Curso 2018:

• Apuntes: Pdf [ENG]

Método Numérico para Grafica Curso 2018:

• Apuntes: Pdf [ENG]

Métodos de Krylov y Aplicaciones Curso 2018:

• Apuntes: Pdf [ENG]

Teoría de Juegos Curso 2018:

• Apuntes: Pdf [ITA]

Algoritmos y Estructura de Datos Curso :

• Búsqueda en Twitter desde terminal: Zip [ITA]

Cómputo Científico :

• Relación sobre Lars Eldén , 2002, Partial least-squares vs. Lanczos Bidiagonalization-I: analysis of a projection method for multiple regression: PDF [ITA]
• Experimentos en PLS, PCR, LBD y Gradiente Conjugado: Diapositivas [ITA]
• Funciones de Octave usadas: Zip [ITA]

Lenguajes de Programación Curso :

• Un Modelo Totalmente Abstracto de PCF, en colaboración con Gianluca Grilletti: Diapositivas [ITA]

Laboratorio Computacional :

• Problema de Extracción de Bi-cliques Máximos: PDF [ENG]

Curso de Esquemas 2015:

• Apuntes [ITA]

Elementos de Álgebra Computacional Curso 2015:

• Apuntes del curso, autor principal Carlo Sircana: Apuntes [ITA]
• Símbolo de Jacobi y su cómputo: PDF [ENG]
• Programas usados para el cálculo del Símbolo de Jacobi: Zip

Optimización Curso :

• Disertación sobre Algoritmos de Corte de Planos: PDF [ITA]
• Programas de Corte de Planos: Zip [ITA]

Grupos y Representaciones Curso 2016:

• Apuntes del curso: PDF [ITA]

Elementos de Geometría Algebraica Curso 2016:

• Apuntes del curso, autores principales Riccardo Morandin, Viola Siconolfi: Apuntes [ITA]

Teoría del Código y Criptografía Curso 2016:

• Apuntes del curso, en colaboración con with Riccardo Morandin, Carlo Sircana: Apuntes [ITA]
• Código Reed-Muller y decodificación: PDF [ITA]

Red Neuronal :

• Interfaz C++ Simple para Redes Neuronales: Zip [ENG]

Preprints y Apuntes:

• Barbarino G., Garoni C., Manni C., Pelosi F., Speleers H.
  Isogeometric immersed methods based on box splines: a spectral analysis
  En preparación
• Barbarino G., Gillis N., Subhayan S.
  Probability of Sampling SSC
  En preparación
• Barbarino G., Gillis N., Subhayan S.
  Identifiability of Nonnegative Tucker Decompositions -- Part II: Algorithms and Applications
  En preparación
• Barbarino G., Gillis N., Subhayan S.
  Identifiability of Nonnegative Tucker Decompositions -- Part I: Theory
  Arxiv (May 2025)
• Barbarino G., Gillis N., Sossa D.
  Computing cone-constrained singular values of matrices
  Arxiv (Abr 2025)
• Barbarino G., Orlitzky M.
  The uniqueness of Lyapunov rank among symmetric cones
  Arxiv (Mar 2025)
• Barbarino G., Fanizza M., Giovannetti V., Mele F. A.
  Non-asymptotic quantum communication on lossy transmission lines with memory
  Arxiv (Mar 2025)
• Barbarino G., Fanizza M., Giovannetti V., Mele F. A.
  Achievable rates in non-asymptotic bosonic quantum communication
  Arxiv (Feb 2025)
• Barbarino G.
  Ergodic Estimations for Toeplitz Sequences Generated by a Symbol
  Arxiv (Dic 2024).
• 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 (Jul 2022).
• 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.
  Permutation NMF
  Arxiv (2016)

Artículos:

• Barbarino G., Weiss S.
  Relations Between Analytic Spectral and Singular Value Decompositions
  EUSIPCO25 (Nov 2025) - PDF
• Barbarino G., Gillis N.
  On the Robustness of the Successive Projection Algorithm
  SIAM Journal on Matrix Analysis and Applications 46, 3 pp. 2140-2170 (Sep 2025) - PDF
• Barbarino G., Cavassi R., Cicone A.
  Extension and convergence analysis of Iterative Filtering to spherical data
  Linear Algebra and its Applications 721, pp. 542-576 (Sep 2025) - PDF
• Barbarino G.,
  On the Periodicity of Singular Vectors and the Holomorphic Block-Circulant SVD on the Unit Circumference
  Linear Algebra and its Applications 721, pp. 465-483 (Sep 2025) - PDF
• Barbarino G., Ekström S.-E., Garoni C., Meadon D., Serra-Capizzano S., Vassalos P.
  Spectral properties of flipped Toeplitz matrices and computational applications
  Applied Mathematics and Computation 499 (Ago 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 (Jul 2025) - PDF
• 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., Garoni C.
  GLT sequences and normal matrices
  The Electronic Journal of Linear Algebra 41, pp. 1-20 (Ene 2025)
• Abdolali M., Barbarino G., Gillis N.
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization
  SIAM Journal on Imaging Sciences 17(4), pp. 2362-2391 (Dic 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 (Ene 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, pp. 395-433 (Ene 2024) - En linea - PDF
• 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, pp. 1-27 (Sep 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., Noferini V.
  The limit empirical spectral distribution of complex matrix polynomials
  Random Matrices: Theory and Applications 11 (3) (Jul 2022) - PDF
• Barbarino G., Garoni C., Mazza M., Serra-Capizzano S.
  Rectangular GLT sequences
  Electronic Transactions on Numerical Analysis 55, pp. 585-617 (Jun 2022) - PDF
• Barbarino G., Bianchi D., Garoni C.
  Constructive approach to the monotone rearrangement of functions
  Expositiones Mathematicae 40 (1), pp. 155-175 (Mar 2022) - PDF
• Barbarino G., Noferini V.
  The limit empirical spectral distribution of Gaussian monic complex matrix polynomials
  Journal of Theoretical Probability 36, pp 99-133 (Feb 2022) - PDF
• Barbarino G.
  A systematic approach to reduced GLT
  Bit Numer Math 62 (3), pp. 681-743 (Sep 2021) - 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, pp. 113-216 (Ene 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, pp. 28-112 (Ene 2020) - PDF
• Barbarino G.
  Spectral Measures
  Structured Matrices in Numerical Linear Algebra, Springer INdAM Series 30, pp. 1-24 (Abr 2019) - PDF
• Barbarino G., Garoni C.
  From convergence in measure to convergence of matrix-sequences through concave functions and singular values
  Electr. J. Linear Algebra 32, pp. 500-513 (Feb 2017) - PDF
• Barbarino G.
  Equivalence between GLT sequences and measurable functions
  Linear Algebra Appl. 529, pp. 397-412 (Sep 2017) - PDF

Conferencias, Escuelas de Verano y Presentaciones

• Comité de Organización del LRMA 2025 (Low-Rank Models and Applications) (Sep 2025 - Mons)
  
• Low-Rank Structures and Numerical Methods in Matrix and Tensor Computations (Sep 2025 - Cortona)
  Nonnegative Tucker Decomposition: Introduction, Identifiability and Algorithms [ENG]
• PVD75 - Proper Value Decomposition 75 (Jul 2025 - Selva di Fasano)
  Computing cone-constrained singular values of matrices [ENG]
• Householder Symposium XXII (Jun 2025 - Ithaca)
  On the Computation of the Maximum Conic Singular Values [ENG]
• Hidden structures in dynamical systems, optimization, and machine learning (May 2025 - L'Aquila)
  On the Computation of the Maximum Conic Singular Values [ENG]
• Invited Speaker to the NUMA Seminars (Numerical Analysis and Applied Mathematics) (Mar 2025 - Louvain)
  Computing cone-constrained singular values of matrices [ENG]
• Proyecto “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 (Oct 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 (Sep 2024 - Rancagua)
  Computational Complexity for Maximal Angle Chasing between Convex Cones [ENG]
• 8th Alama Meeting: Linear Algebra, Matrix Analysis and Applications (Jun 2024 - Gijón)
  Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization [ENG]
• SIAM Conference on Applied Linear Algebra LA24 (May 2024 - Paris)
  Ergodic Estimations for Toeplitz Sequences [ENG]
• XXII Congresso dell’Unione Matematica Italiana (Sep 2023 - Pisa)
  The Fast Resampled Iterative Filtering Method [ENG](only for animation-compatible PDF reader)
• Invited Speaker at Foundations of Computational Mathematics FoCM (Jun 2023 - Paris)
  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 (Jun 2023 - Madrid)
  On the eigendecomposition of para-Hermitian matrices [ENG](Sólo para lectores de PDF que reproducen animaciones)
• Invited Speaker at Mathematics for Signal processing and Applications in Geophysics and other fields MaSAG23 (May 2023 - Rome)
  New stability results for IF Methods [ENG]
• Numerical Linear Algebra Days (May 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 (Jun 2022 - Alcalá de Henares)
  Approximation of the Laplace-Beltrami operator by its symbol [ENG]
• NNLA 2022 (Abr 2022 - Helsinki)
  The limit empirical spectral distribution of complex matrix polynomials [ENG]
  
• Invited Speaker - NoSAG 21 (Jul 2021 - L'Aquila)
  Iterative Filtering Algorithms [Video ENG no commentary]
  Diapositivas [ENG]
• CommNLA (Nov 2020 - Online)
  The limit empirical spectral distribution of complex matrix polynomials [Video ENG] Youtube Link
• Staff Meeting (Oct 2019 - Helsinki)
  Symbols for matrix-sequences: Application-Driven Structure [ENG]
• Due giorni di Algebra Lineare e Applicazioni (Feb 2019 - Rome)
  
• Intelligent Machines and Mathematics (Ene 2019 - Bologna)
  
• Examen del curso de computación científica paralela (Invierno 2018)
  Higher order spectral symbols and eigenvalues approximation for Toeplitz matrices [ENG]
• Asamblea Indam del GNCS (Feb 2018 - Montecatini)
• Due giorni di Algebra Lineare e Applicazioni (Feb 2018 - Padua)
  Perturbations of Hermitian Matrices and Applications to Spectral Symbols [ENG]
• Seminarios en Como (Oct 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 (Sep 2017 - Cortona)
  Equivalence between GLT sequences and measurable functions [ENG]
• Escuela de verano CIME-EMS sobre splines y ecuaciones en derivadas parciales (Jul 2017 - Cetraro)
  Equivalence between GLT sequences and measurable functions [ENG]
• Due giorni Di Algebra Lineare e Applicazioni (Feb 2017 - Como)
• Escuela de Verano Roma-Moscú (Verano 2016)
  Permutation NMF [ENG]
• Exámenes parciales en el 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