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Simone Bombari

6 accepted papers

2026

A Law of Data Reconstruction for Random Features (And Beyond)

ICLR 2026poster

Large-scale deep learning models are known to *memorize* parts of the training set. In machine learning theory, memorization is often framed as interpolation or label fitting, and classical results show that this can be achieved when the number of parameters $p$ in the model is larger than the numbe…

Cited by 0SourcecodeScholar
2025

Spurious Correlations in High Dimensional Regression: The Roles of Regularization, Simplicity Bias and Over-Parameterization

ICML 2025poster

Learning models have been shown to rely on spurious correlations between non-predictive features and the associated labels in the training data, with negative implications on robustness, bias and fairness. In this work, we provide a statistical characterization of this phenomenon for high-dimensiona…

Cited by 0SourcePDFScholar
2024

How Spurious Features are Memorized: Precise Analysis for Random and NTK Features

ICML 2024poster

Deep learning models are known to overfit and memorize spurious features in the training dataset. While numerous empirical studies have aimed at understanding this phenomenon, a rigorous theoretical framework to quantify it is still missing. In this paper, we consider spurious features that are unco…

2024

Towards Understanding the Word Sensitivity of Attention Layers: A Study via Random Features

ICML 2024poster

Understanding the reasons behind the exceptional success of transformers requires a better analysis of why attention layers are suitable for NLP tasks. In particular, such tasks require predictive models to capture contextual meaning which often depends on one or few words, even if the sentence is l…

2023

Beyond the Universal Law of Robustness: Sharper Laws for Random Features and Neural Tangent Kernels

ICML 2023oral

Machine learning models are vulnerable to adversarial perturbations, and a thought-provoking paper by Bubeck and Sellke has analyzed this phenomenon through the lens of over-parameterization: interpolating smoothly the data requires significantly more parameters than simply memorizing it. However, t…

2022

Memorization and Optimization in Deep Neural Networks with Minimum Over-parameterization

NeurIPS 2022accept

The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide memorization, optimization and generalization guarantees in deep neural networks. A line of work has studied the NTK spectrum for two-layer and deep networks with at least a layer with $\Omega(N)$ neurons, $N$ being the number…

Cited by 35SourcePDFScholar