@article{https://doi.org/10.48550/arxiv.2205.10217,
  doi = {10.48550/ARXIV.2205.10217},
  arxiv ={2205.10217},
  author = {Bombari, Simone and Amani, Mohammad Hossein and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Information Theory (cs.IT), Machine Learning (cs.LG), Computer and information sciences, Computer and information sciences},
  title = {Memorization and Optimization in Deep Neural Networks with Minimum Over-parameterization},
  publisher = {arXiv},
  year = {2022},
  journal={NeurIPS - contributed talk at DeepMath},
  copyright = {Creative Commons Attribution 4.0 International},
  selected = {true},
  preview={optimization.png}
}


@article{https://doi.org/10.48550/arxiv.2205.08199,
  doi={10.48550/ARXIV.2205.08199},
  arxiv={2205.08199},
  author = {Amani, Mohammad Hossein and Bombari, Simone and Mondelli, Marco and Pukdee, Rattana and Rini, Stefano},
  keywords = {Information Theory (cs.IT), Machine Learning (cs.LG), Machine Learning (stat.ML), Computer and information sciences, Computer and information sciences},
  title = {Sharp asymptotics on the compression of two-layer neural networks},
  publisher = {arXiv},
  journal={Information Theory Workshop},
  year = {2022},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={ETF.png}
}



@article{https://doi.org/10.48550/arXiv.2203.16701,
  doi = {10.48550/arXiv.2203.16701},
  arxiv={2203.16701},
  author = {Bombari, Simone and Achille, Alessandro and Wang, Zijian and Wang, Yu-Xiang and Xie, Yusheng and Singh, Kunwar Yashraj and Appalaraju, Srikar and Mahadevan, Vijay and Soatto, Stefano},
  keywords = {Machine Learning (cs.LG), Cryptography and Security (cs.CR), Machine Learning (stat.ML), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {Towards Differential Relational Privacy and its use in Question Answering},
  publisher = {arXiv},
  journal={arXiv},
  year = {2022},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={interaction.png}
}



@article{https://doi.org/10.48550/arxiv.2302.01629,
  doi = {10.48550/ARXIV.2302.01629},
  arxiv = {2302.01629},
  author = {Bombari, Simone and Kiyani, Shayan and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG)},
  title = {Beyond the Universal Law of Robustness: Sharper Laws for Random Features and Neural Tangent Kernels},
  publisher = {arXiv},
  journal={ICML - selected for oral presentation},
  year = {2023},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={true},
  preview={no_muscle.jpg}
}


@article{https://doi.org/10.48550/arXiv.2305.12100,
  doi = {10.48550/arXiv.2305.12100},
  arxiv = {2305.12100},
  author = {Bombari, Simone and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {How Spurious Features Are Memorized: Precise Analysis for Random and NTK Features},
  publisher = {arXiv},
  journal={ICML},
  year = {2024},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={milos.png}
}



@article{https://doi.org/10.48550/arXiv.2402.02969,
  doi = {10.48550/arXiv.2402.02969},
  arxiv = {2402.02969},
  author = {Bombari, Simone and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {Towards Understanding the Word Sensitivity of Attention Layers: A Study via Random Features},
  publisher = {arXiv},
  journal={ICML},
  year = {2024},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={attention.png}
}




@article{https://doi.org/10.48550/arXiv.2407.12569,
  doi = {10.48550/arXiv.2407.12569},
  arxiv={2407.12569},
  author = {Kalinin, Nikita P. and Bombari, Simone and Zakerinia, Hossein and Lampert, Christoph H.},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {DP-KAN: Differentially Private Kolmogorov-Arnold Networks},
  publisher = {arXiv},
  journal={arXiv},
  year = {2024},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={KAN.png}
}



@article{https://doi.org/10.48550/arXiv.2410.14787,
  doi = {10.48550/arXiv.2410.14787},
  arxiv = {2410.14787},
  author = {Bombari, Simone and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML)},
  title = {Privacy for Free in the Overparameterized Regime},
  publisher = {National Academy of Sciences},
  journal={PNAS},
  year = {2025},
  copyright = {Creative Commons Attribution 4.0 International},
  selected = {true},
  preview = {privacy.png}
}



@article{https://doi.org/10.48550/arXiv.2502.01347,
  doi = {10.48550/arXiv.2502.01347},
  arxiv = {2502.01347},
  author = {Bombari, Simone and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization},
  publisher = {arXiv},
  journal={ICML - best paper award at SCSL workshop at ICLR},
  year = {2025},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={false},
  preview={CMNIST.png}
}




@article{https://doi.org/10.48550/arXiv.2505.16329,
  doi = {10.48550/arXiv.2505.16329},
  arxiv={2505.16329},
  author = {Bombari, Simone and Luo, Jialei and Seroussi, Inbar and Mondelli, Marco},
  keywords = {Machine Learning (stat.ML), Machine Learning (cs.LG), FOS: Computer and information sciences, FOS: Computer and information sciences},
  title = {High-Dimensional Private Linear Regression with Optimal Rates},
  publisher = {arXiv},
  journal={arXiv},
  year = {2025},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={true},
  preview={DP-SGD-ODE_new.png}
}



@article{https://doi.org/10.48550/arXiv.2509.22214,
  doi = {10.48550/arXiv.2509.22214},
  arxiv ={2509.22214},
  title={A Law of Data Reconstruction for Random Features (and Beyond)}, 
  author={Leonardo Iurada and Simone Bombari and Tatiana Tommasi and Marco Mondelli},
  year={2026},
  journal={ICLR},
  copyright = {Creative Commons Attribution 4.0 International},
  selected={true},
  preview={reconstruction.png}
}

@article{cairney-leeming2026sharptransition,
  doi = {10.48550/arXiv.2609.37344},
  arxiv = {2609.37344},
  title = {A Sharp Transition in Data Reconstruction under Differential Privacy},
  author = {Cairney-Leeming, Max and Bombari, Simone and Mondelli, Marco},
  year = {2026},
  journal = {arXiv},
  selected = {true}
}