ITA - ENG

Barbarino Giovanni

Post-Doc Researcher in Numerical Analysis

UMONS University of Mons

  • About
  • Research
  • Didactics
  • Other

Under Construction

Close

Menu

Thesis

  • Bachelor
  • Master
  • PhD

Courses

  • Topics in Low Rank Factorization and Data Analysis
  • Lie Groups and Algebras
  • Numerical Method for Graphics
  • Krylov Methods and Applications
  • Game Theory
  • Algorithms and Data Structures
  • Scientific Computing
  • Programming Languages
  • Computational Lab
  • Schemes
  • Elements of Computational Algebra
  • Optimization
  • Groups and Representations
  • Elements of Algebraic Geometry
  • Code Theory and Cryptography
  • Neural Networks

Thesis

Courses

ITA - ENG

Didactics

Doctoral Thesis :

Symbols for Matrix-Sequences:
Theory and Application-Driven Structure
PDF [ENG]     Slides [ENG]

Supervisors:
Stefano Serra-Capizzano,
Michele Benzi

Date: 10/02/2020

Master Thesis :

Nonnegative Matrix Factorization:
Theory with an application to translations invariant image processing
PDF [ENG]     Slides [ITA]     Article [ENG]

Supervisors:
Luca Gemignani,
Francesco Romani

Date: 14/10/2016

Bachelor Thesis :

Expander Graphs: Spectral Properties and Applications
PDF [ITA]     Slides [ITA]     Book [ITA]

Supervisor:
Dario Andrea Bini

Date: 19/09/2014

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]
Close

Menu

  • Interests

  • Articles

  • Conferences

  • Preprints

Interests

Articles

Preprints

Conferences

ITA - ENG

Research

My main interests are the spectral analysis and the low-rank factorization of matrices.
I have worked on matrix sequences coming from the discretization of linear PDE, on structured matrices used for quantum communications, on random matrix polynomial with growing size and/or degree, on spectral properties of matrices with functional entries, on perturbation of Hermitian matrices, and on iterative methods in signal processing.
Moreover, I have worked in community detection, on clustering problems for directed graphs, and on machine learning techniques aimed to identify symplex structures through the lens of low-rank factorization methods, with a focus on nonnegative matrix factorization.
More recently, I am interested on symmetric cones coming from Jordan algebras and on indefinite quadratic problems with conic restrictions.

Supported by the ERC consolidator grant no 101085607 of the European Union (Sep 2023 - Jun 2026)
Project: Beyond Low-Rank Factorizations (eLinoR)

Preprints and Notes:

  • 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 (Apr 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., Weiss S.
    Relations Between Analytic Spectral and Singular Value Decompositions
    submitted to EUSIPCO25 (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., 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).
  • 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)

Articles:

  • 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 (Aug 2025).
  • 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 (Jan 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 (Dec 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 (Jan 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 (Jan 2024) - Online - 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 (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., 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 (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, pp. 28-112 (Jan 2020) - PDF
  • Barbarino G.
    Spectral Measures
    Structured Matrices in Numerical Linear Algebra, Springer INdAM Series 30, pp. 1-24 (Apr 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

Conferences, Summer Schools and Presentations

  • Organization Committee for the LRMA 2025 (Low-Rank Models and Applications) (Sep 2025 - Mons)
  • 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]
  • 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]
Close
ITA - ENG

About

Carreer:

2023 - now : Post-Doctoral Researcher at UMONS in Numerical Analysis
2020 - 2023 : Post-Doctoral Researcher at Aalto University in Numerical Analysis
2016 - 2020 : Ph.D. Degree at SNS in Mathematics
2014 - 2016 : Master Degree at Pisa University and SNS in Applied Mathematics
2011 - 2014 : Bachelor Degree at Pisa University and SNS in Mathematics

Funds and Prizes:

2024 - now : Italian National Scientific Abilitation to the role of Associate Professor
2023 - now : Supported by the ERC consolidator grant no. 101085607
Project: Beyond Low-Rank Factorizations (eLinoR)
2023 - 2023 : ILAS LAA Early Career Award, Early Career Speakers for the 25th ILAS Conference
2022 - 2023 : Grant Alfred Kordelinin säätiö, Finland, no. 210122
PI of the Project Decorrelation Methods for Multi-Input Nonstationary Signals
2016 - 2020 : Scholarship at SNS - PhD
2011 - 2016 : Scholarship at SNS - Bachelor and Master Degree


Member of GNCS Indam ( Scientific Computing National Group )

Member of SIAM Activity Group on Linear Algebra (SIAG/LA)

Member of ILAS International Linear Algebra Society

Member of Unione Matematica Italiana (UMI)


Reviewer at ZbMATH ( Zentralblatt MATH ), MR ( Mathematical Reviews - MathSciNet ), and for scientific journals

  • 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


Partial Curriculum Vitae

Researchgate Profile

ORCID

Google Scholar

SCOPUS

Close
ITA - ENG

Other

Partecipant and Organizer of Italian Mathematical Olympiad. Some useful Links:
  • Oliforum: official forum of Italian Mathematical Olympiad [ITA]
  • Vid: official video-lessons of stages [ITA]
  • IMO: International Mathematical Olympiad website [ENG]
  • AoPS: Forum, Tutorials, Lessons and much more on Mathematics and Mathematical Olympiad [ENG]
  • MateMate: blog on not-so-elementary problems [ITA]
  • AndFog: collection of problems and interesting mathematical facts [ITA]

Chess Program for Terminal: Executable

LA-project (under development): Website

Left Chess for Browser (under development): Website

Rischiatutto Department Edition, presented by Bargagnati

Other info in the origin.
Close
Emailgiovanni.barbarino at umons.ac.be
AddressRoom 386, Rue de Houdain 9
Mathematics and Operational Research Unit
Faculté Polytechnique de Mons
7000 Mons, Belgium

© Untitled. Design: HTML5 UP.