C. Bortolotto

activity

20202026

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Showing 2026Show all

3 papers · 1 filter

stat.ML2026

Depth Separation for Neural Networks under Gaussian Measure

Cynthia Bortolotto, Francisco Ganacim, Roberto I. Oliveira

We revisit the problem of depth separation for neural networks, as studied by Eldan and Shamir, Daniely, and others. Specifically, we consider the natural setting of $L^{2}$ approxim…

math.CV2026

A complex-analytic proof of square-restricted stable phase retrieval in Fock space

Cynthia Bortolotto, João P. G. Ramos

We give a short complex-analytic proof of a square-restricted form of local stable phase retrieval at the Gaussian in one-dimensional Fock space. The main estimate is a coercivity…

math.NT2026

Modular Forms and Numerical Explorations of Rational Approximations to $ζ (3)$

Cynthia Bortolotto, Lucas Oliveira

We revisit Beukers' modular-form proof of the irrationality of $ζ (3)$ from the point of view of the auxiliary weight two modular form. For the Fricke group $Γ_{0} (6)^{⋆}$ , we show…

Depth Separation for Neural Networks under Gaussian Measure

A complex-analytic proof of square-restricted stable phase retrieval in Fock space

Modular Forms and Numerical Explorations of Rational Approximations to ζ(3)

Modular Forms and Numerical Explorations of Rational Approximations to $ζ (3)$