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CHarML

Our scientific interests focus on harmonic analysis, inverse problems, PDE and machine learning according to the following belief:

The analysis of massive, high-dimensional, noisy, time-varying data sets has become a critical issue for a large number of scientists and engineers. Major theoretical and algorithmic advances in analyzing massive and complex data are crucial, including methods of exploiting sparsity, clustering and classification, data mining, anomaly detection, and many more.

In the last decade we have witnessed significant advances in many individual core areas of data analysis, including machine learning, signal processing, statistics, optimization, and of course harmonic analysis. It appears highly likely that the next major breakthroughs will occur at the intersection of these disciplines (from Applied Harmonic Analysis, Massive Data Sets, Machine Learning, and Signal Processing).

Background image of the Needle tower by Kenneth Snelson at Kröller-Müller Museum

People

  • Giovanni S.
    Alberti

  • Filippo
    De Mari

  • Ernesto
    De Vito

  • Matteo
    Santacesaria

  • Alessandro
    Felisi

  • Işıl
    Guleken

  • Paolo
    Angella

  • Simone
    Sanna

  • Markus
    Holzleitner

  • Wadim
    Gerner

  • Nesrine
    Aroua

  • Fedor
    Goncharov

Past People

People
  • Sara Farinelli | 2024 → 2025 | Post-doctoral fellow

  • Dennis Elbrächter | 2024 → 2025 | Post-doctoral fellow

  • Elena Rizzo | 2021 → 2024 | PhD student

  • Shiwei Sun | 2023 → 2024 | PhD student

  • Anupam Gumber | 2023 → 2024 | Post-doctoral fellow

  • Edgar Desainte-Maréville | 2024 | Student

  • Romain Petit | 2023 → 2024 | Post-doctoral fellow | Inverse Problems

  • Simone Sanna | 2023 | Student

  • Silvia Sciutto | 2020 → 2023 | PhD student | Inverse Problems

  • Lorenzo Sacchi | 2023 | Student

  • Luca Ratti | 2020 → 2023 | Post-doctoral fellow | Inverse Problems and Machine Learning

  • Simone Sanna | 2023 | Student | Compressed Sensing

  • Camilla Casaleggi | 2023 | Student

  • Camilla Casaleggi | 2022 | Student

  • Salvatore Ivan Trapasso | 2020 → 2022 | Post-doctoral fellow

  • Luca Wellmeier | 2022 | Student

  • Matteo Monti | 2019 → 2022 | PhD student | Harmonic Analysis

  • Stefano Vigogna | 2019 → 2021 | PhD student | Harmonic Analysis

  • Geraldo Macoj | 2021 | Student | Machine Learning

  • Beatrice Ravera | 2021 | Student | Analysis

  • Lorenzo Bozzi | 2021 | Student | Analysis

  • Silvia Sciutto | 2020 | Student | Signal Analysis

  • Giuseppe Carta | 2020 | Student | Analysis

  • Ángel Arroyo | 2019 → 2020 | Post-doctoral fellow | Inverse problems

  • Filippo Papallo | 2020 | Student | Analysis

  • Giulia Bollo | 2020 | Student | Machine Learning

  • Francesca Bartolucci | 2020 | PhD student | Harmonic Analysis

  • Davide Parodi | 2019 | Student | Machine Learning & Signal Analysis

  • Eugenio Dellepiane | 2019 | Student | Analysis

  • Paolo Campodonico | 2019 | Student | Analysis & Inverse Problems

  • Marco Baracchini | 2019 | Student | Analysis & Inverse Problems

  • Mattia Barisone | 2019 | Student | Signal Analysis

  • Silvia Sciutto | 2018 | Student | Analysis & Measure Theory

  • Nicolò Pagliana | 2018 | Student | Machine Learning

  • Sandra Albani | 2018 | Student | Signal Analysis

  • Nicola Raffo | 2018 | Student | Signal Analysis

  • Anton Emelchenkov | 2016 | Student | Machine Learning for Inverse Problems

  • Arianna Romani | 2016 | Student | Harmonic Analysis

  • Giulia Vignola | 2014 | Student | Signal Analysis

  • Elisa Businelli | 2014 | Student | Harmonic Analysis

  • Lucia Mantovani | 2013 | PhD student | Harmonic Analysis

  • Manuela Barone | 2013 | Student | Signal Analysis

  • Laura Gemme | 2012 | Student | Machine Learning

  • Ilaria Giulini | 2012 | Student | Probability

  • Francesca Dotti | 2012 | Student | Machine Learning

  • Guido Cesare | 2011 | PhD student | Machine Learning

  • Umberto De Giovannini | 2008 | Student | Machine Learning

  • Irene Venturi | 2008 | PhD student | Harmonic Analysis

  • Paolo Albini | 2007 | PhD student | Quantum Mechanics

  • Giuseppe Zampogna | 2005 | Student

  • Alessandro Ottazzi | 2004 | PhD student | Harmonic Analysis

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Research projects

Most recent CHarML research projects

  • Sample complexity for inverse problems in PDE

    Unit CHarML
    Leading scientist Giovanni S. Alberti
    Role within the project Principal Investigator
    Duration 2022 - 2027
    Sponsors EU | ERC StG
    Total funding 1.15 M€
  • CLOSED

    Compressed sensing for inverse problems in PDE

    Unit CHarML
    Leading scientist Giovanni S. Alberti
    Role within the project Principal Investigator
    Duration 2021 - 2023
    Sponsors UniGe
    Total funding 85 k€
  • CLOSED

    Machine Learning for Inverse Problems

    Unit CHarML
    Leading scientist Giovanni S. Alberti, Matteo Santacesaria
    Role within the project co-Principal Investigator
    Duration 2020 - 2023
    Sponsors AFOSR
    Total funding 220 k€
  • CLOSED

    Infinite-dimensional inverse problems with finite measurements

    Unit CHarML
    Leading scientist Giovanni S. Alberti
    Role within the project Principal Investigator
    Duration 2019 - 2021
    Sponsors UniGe Starting grant
    Total funding 59.5 k€

Publications

Most recent CHarML publications

TitleYearAuthorVenue
Market areas in general equilibrium2023Lanzara G.; Santacesaria M.JOURNAL OF ECONOMIC THEORY
Short Communication: Localized Adversarial Artifacts for Compressed Sensing MRI2023Alaifari Rima; Alberti Giovanni S.; Gauksson TandriSIAM JOURNAL ON IMAGING SCIENCES
Inverse problems on low-dimensional manifolds2023Alberti G.; Arroyo A.; Santacesaria M.NONLINEARITY
Neural networks for classification of strokes in electrical impedance tomography on a 3D head model2022Candiani V.; Santacesaria M.MATHEMATICS IN ENGINEERING
Efficient Hyperparameter Tuning for Large Scale Kernel Ridge Regression2022Meanti Giacomo; Carratino Luigi; DE VITO Ernesto; Rosasco LorenzoINTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 151 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 151