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Publications

2026

  • A Sharp Transition in Data Reconstruction under Differential Privacy
    Max Cairney-Leeming, Simone Bombari, Marco Mondelli.
    arXiv preprint, 2026.

  • High-Dimensional Private Linear Regression with Optimal Rates
    Simone Bombari, Jialei Luo, Inbar Seroussi, Marco Mondelli.
    arXiv preprint, 2025 (updated 2026).

  • A Law of Data Reconstruction for Random Features (and Beyond)
    Leonardo Iurada, Simone Bombari, Tatiana Tommasi, Marco Mondelli.
    ICLR, 2026.

2025

  • Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization
    Simone Bombari, Marco Mondelli.
    ICML, 2025. Best paper award at the ICLR SCSL workshop.

  • Privacy for Free in the Overparameterized Regime
    Simone Bombari, Marco Mondelli.
    PNAS, 2025.

2024

  • DP-KAN: Differentially Private Kolmogorov-Arnold Networks
    Nikita P. Kalinin, Simone Bombari, Hossein Zakerinia, Christoph H. Lampert.
    arXiv preprint, 2024.

  • Towards Understanding the Word Sensitivity of Attention Layers: A Study via Random Features
    Simone Bombari, Marco Mondelli.
    ICML, 2024.

  • How Spurious Features Are Memorized: Precise Analysis for Random and NTK Features
    Simone Bombari, Marco Mondelli.
    ICML, 2024.

2023

  • Beyond the Universal Law of Robustness: Sharper Laws for Random Features and Neural Tangent Kernels
    Simone Bombari, Shayan Kiyani, Marco Mondelli.
    ICML, 2023. Selected for oral presentation.

2022

  • Towards Differential Relational Privacy and its use in Question Answering
    Simone Bombari, Alessandro Achille, Zijian Wang, Yu-Xiang Wang, Yusheng Xie, Kunwar Yashraj Singh, Srikar Appalaraju, Vijay Mahadevan, Stefano Soatto.
    arXiv preprint, 2022.

  • Sharp asymptotics on the compression of two-layer neural networks
    Mohammad Hossein Amani, Simone Bombari, Marco Mondelli, Rattana Pukdee, Stefano Rini.
    Information Theory Workshop, 2022.

  • Memorization and Optimization in Deep Neural Networks with Minimum Over-parameterization
    Simone Bombari, Mohammad Hossein Amani, Marco Mondelli.
    NeurIPS, 2022.

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