no code implementations • 31 Oct 2023 • Lorenzo Luzi, Helen Jenne, Ryan Murray, Carlos Ortiz Marrero
The rapid advancement of Generative Adversarial Networks (GANs) necessitates the need to robustly evaluate these models.
no code implementations • 20 Mar 2023 • Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen, José Frías, Yulia R. Gel, Bill Kay, Uwe Naumann, Carlos Ortiz Marrero, Anthony V. Petyuk, Sandip Roy, Ignacio Segovia-Dominguez, Nate Veldt, Stephen J. Young
We present and discuss seven different open problems in applied combinatorics.
no code implementations • 14 Aug 2022 • Brenda Praggastis, Davis Brown, Carlos Ortiz Marrero, Emilie Purvine, Madelyn Shapiro, Bei Wang
Fully connected layers can be studied by decomposing their weight matrices using a singular value decomposition, in effect studying the correlations between the rows in each matrix to discover the dynamics of the map.
no code implementations • 8 Oct 2021 • Lorenzo Luzi, Carlos Ortiz Marrero, Nile Wynar, Richard G. Baraniuk, Michael J. Henry
We define a performance measure, which we call WaM, on two sets of images by using Inception-v3 (or another classifier) to featurize the images, estimate two GMMs, and use the restricted $2$-Wasserstein distance to compare the GMMs.
no code implementations • 29 Oct 2020 • Carlos Ortiz Marrero, Mária Kieferová, Nathan Wiebe
In particular, we show that quantum neural networks that satisfy a volume-law in the entanglement entropy will give rise to models not suitable for learning with high probability.
no code implementations • 13 Oct 2020 • Javier Rubio-Herrero, Carlos Ortiz Marrero, Wai-Tong Louis Fan
Atmospheric modeling has recently experienced a surge with the advent of deep learning.
no code implementations • 24 Nov 2019 • Brett Jefferson, Carlos Ortiz Marrero
We explore rigorous, systematic, and controlled experimental evaluation of adversarial examples in the real world and propose a testing regimen for evaluation of real world adversarial objects.
1 code implementation • 10 Aug 2018 • Alexandre M. Tartakovsky, Carlos Ortiz Marrero, Paris Perdikaris, Guzel D. Tartakovsky, David Barajas-Solano
We employ physics informed DNNs to estimate the unknown space-dependent diffusion coefficient in a linear diffusion equation and an unknown constitutive relationship in a non-linear diffusion equation.
Analysis of PDEs Computational Physics