Barbarino Giovanni

Bachelor Thesis :

Doctoral Thesis :

Master Thesis :

Topics in Low Rank Factorization and Data Analysis Course 2024:

• PCA
  • Handwritten notes for PCA Lessons: PDF [ENG]
  • Videos for Lesson 3: Zip [ENG]
  • Video for Lesson 4: Mp4 [ENG]
  • Data PCA Session: Zip [ENG]
  • Codes PCA Session: Zip [ENG]
• Clustering
  • Handwritten notes for Clustering Lessons: PDF [ENG]
  • Data Clustering Session: Zip
  • Codes Clustering Session: Zip [ENG]
• NMF
  • Handwritten notes for NMF Lessons: PDF [ENG]
  • Slides and video for NMF Lesson: ZIP [ENG]
  • Data NMF Session: Zip
  • Codes NMF Session: Zip [ENG]

Lie Groups and Algebras Course 2018:

• Notes: Pdf [ENG]

Numerical Method for Graphics Course 2018:

• Notes: Pdf [ENG]

Krylov Methods and Applications Course 2018:

• Notes: Pdf [ENG]

Game Theory Course 2018:

• Notes: Pdf [ITA]

Algorithms and Data Structure Course :

• Twitter Search Engine on terminal: Zip [ITA]

Scientific Computing :

• Relation on Lars Eldén , 2002, Partial least-squares vs. Lanczos Bidiagonalization-I: analysis of a projection method for multiple regression: PDF [ITA]
• Experiments on PLS, PCR, LBD and Conjugated Gradient: Slides [ITA]
• Octave functions used: Zip [ITA]

Programming Languages Course :

• A Fully Abstract Model of PCF, in collaboration with Gianluca Grilletti: Slides [ITA]

Computational Lab :

• Maximal Bi-clique Extraction Problem: PDF [ENG]

Schemes Course 2015:

• Notes [ITA]

Elements of Computational Algebra Course 2015:

• Notes of the course, main author Carlo Sircana: Notes [ITA]
• Jacobi Symbol and its computation: PDF [ENG]
• Programs used for the computation of Jacobi Symbol: Zip

Optimization Course :

• Dissertion on Plane Cutting Algorithms: PDF [ITA]
• Programs of Plane Cutting: Zip [ITA]

Groups and Representations Course 2016:

• Notes of the course: PDF [ITA]

Elements of Algebraic Geometry Course 2016:

• Notes of the course, main authors Riccardo Morandin, Viola Siconolfi: Notes [ITA]

Code Theory and Cryptography Course 2016:

• Notes of the course, in collaboration with Riccardo Morandin, Carlo Sircana: Notes [ITA]
• Reed-Muller Code and decoding: PDF [ITA]

Neural Network :

• Simple C++ Interface for Neural Networks: Zip [ENG]

Articles, Preprints and Notes:

• 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 (Jan 2025)
• Barbarino G., Orlitzky M.
  The uniqueness of Lyapunov rank among symmetric cones
  Draft (Dec 2024)
• Barbarino G., Gillis N.
  On the Robustness of the Successive Projection Algorithm
  Arxiv (Dec 2024)
• Barbarino G.
  Ergodic Estimations for Toeplitz Sequences Generated by a Symbol
  Arxiv (Dec 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 (Dec 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 (Jun 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 (Jan 2024) - Online - PDF
• Barbarino G., Ekström S.-E., Garoni C., Meadon D., Serra-Capizzano S., Vassalos P.
  Spectral properties of flipped Toeplitz matrices
  Arxiv (Dec 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 (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 (Aug 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 (Aug 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 (Jul 2022).
• 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. 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 (Sep 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 (Jan 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 (Jan 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)

Conferences, Summer Schools and Presentations

• Project “Circular Economy from the Mathematics for Signal Processing prospective” (Dec 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
• 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
• 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 (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 no commentary]
  Slides [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]
• Two days of Linear Algebra and Applications (Feb 2019 - Rome)
  
• Intelligent Machines and Mathematics (Jan 2019 - Bologna)
  
• Parallel Scientific Computing Exam (Winter 2018)
  Higher order spectral symbols and eigenvalues approximation for Toeplitz matrices [ENG]
• GNCS Indam Assembly (Feb 2018 - Montecatini)
• Two days of Linear Algebra and Applications (Feb 2018 - Padua)
  Perturbations of Hermitian Matrices and Applications to Spectral Symbols [ENG]
• Como Talks (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 (Sept 2017 - Cortona)
  Equivalence between GLT sequences and measurable functions [ENG]
• CIME-EMS Summer School on Splines and PDEs (July 2017 - Cetraro)
  Equivalence between GLT sequences and measurable functions [ENG]
• Two days of Linear Algebra (Feb 2017 - Como)
• Rome-Moscow Summer School (Summer 2016)
  Permutation NMF [ENG]
• Mid-Term at SNS (Spring 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