Piero Deidda

activity

20222025

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3 papers · 1 filter

math.SP2024

The graph $\infty$ -Laplacian eigenvalue problem

Piero Deidda, Martin Burger, Mario Putti +1

We analyze various formulations of the $\infty$ -Laplacian eigenvalue problem on graphs, comparing their properties and highlighting their respective advantages and limitations. Fir…

math.NA2024

Graph $p$ -Laplacian eigenpairs as saddle points of a family of spectral energy functions

Piero Deidda, Nicola Segala, Mario Putti

We address the problem of computing the graph $p$ -Laplacian eigenpairs for $p \in (2, \infty)$ . We propose a reformulation of the graph $p$ -Laplacian eigenvalue problem in terms of a…

cs.LG2024

Provable Emergence of Deep Neural Collapse and Low-Rank Bias in $L^{2}$ -Regularized Nonlinear Networks

Emanuele Zangrando, Piero Deidda, Simone Brugiapaglia +2

We present a unified theoretical framework connecting the first property of Deep Neural Collapse (DNC1) to the emergence of implicit low-rank bias in nonlinear networks trained wit…

The graph ∞-Laplacian eigenvalue problem

Graph p-Laplacian eigenpairs as saddle points of a family of spectral energy functions

Provable Emergence of Deep Neural Collapse and Low-Rank Bias in L2-Regularized Nonlinear Networks

The graph $\infty$ -Laplacian eigenvalue problem

Graph $p$ -Laplacian eigenpairs as saddle points of a family of spectral energy functions

Provable Emergence of Deep Neural Collapse and Low-Rank Bias in $L^{2}$ -Regularized Nonlinear Networks