75 citations · 140 across the 10 of their papers we have counts for
14 papers
Seven open problems in applied combinatorics
Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen +10
We present and discuss seven different open problems in applied combinatorics. The application areas relevant to this compilation include quantum computing, algorithmic differentia…
Generating Approximate Ground States of Molecules Using Quantum Machine Learning
Jack Ceroni, Torin F. Stetina, Maria Kieferova +3
The potential energy surface (PES) of molecules with respect to their nuclear positions is a primary tool in understanding chemical reactions from first principles. However, obtain…
The SVD of Convolutional Weights: A CNN Interpretability Framework
Brenda Praggastis, Davis Brown, Carlos Ortiz Marrero +3
Deep neural networks used for image classification often use convolutional filters to extract distinguishing features before passing them to a linear classifier. Most interpretabil…
Evaluating generative networks using Gaussian mixtures of image features
Lorenzo Luzi, Carlos Ortiz Marrero, Nile Wynar +2
We develop a measure for evaluating the performance of generative networks given two sets of images. A popular performance measure currently used to do this is the Fréchet Inceptio…
Quantum Generative Training Using Rényi Divergences
Maria Kieferova, Ortiz Marrero Carlos, Nathan Wiebe
Quantum neural networks (QNNs) are a framework for creating quantum algorithms that promises to combine the speedups of quantum computation with the widespread successes of machine…
Entanglement Induced Barren Plateaus
Carlos Ortiz Marrero, Mária Kieferová, Nathan Wiebe
We argue that an excess in entanglement between the visible and hidden units in a Quantum Neural Network can hinder learning. In particular, we show that quantum neural networks th…
Modeling Atmospheric Data and Identifying Dynamics: Temporal Data-Driven Modeling of Air Pollutants
Javier Rubio-Herrero, Carlos Ortiz Marrero, Wai-Tong Louis Fan
Atmospheric modeling has recently experienced a surge with the advent of deep learning. Most of these models, however, predict concentrations of pollutants following a data-driven…
Robust Assessment of Real-World Adversarial Examples
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 adversa…
Hypernetwork Science via High-Order Hypergraph Walks
Sinan G. Aksoy, Cliff Joslyn, Carlos Ortiz Marrero +2
We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding h…
On the Structure of Isometrically Embeddable Metric Spaces
Kathleen Nowak, Carlos Ortiz Marrero, Stephen J. Young
Since its popularization in the 1970s the Fiedler vector of a graph has become a standard tool for clustering of the vertices of the graph. Recently, Mendel and Noar, Dumitriu and…
Learning Parameters and Constitutive Relationships with Physics Informed Deep Neural Networks
Alexandre M. Tartakovsky, Carlos Ortiz Marrero, Paris Perdikaris +2
We present a physics informed deep neural network (DNN) method for estimating parameters and unknown physics (constitutive relationships) in partial differential equation (PDE) mod…
Classification of Rank 5 Premodular Categories
Paul Bruillard, Carlos M. Ortiz
We survey a number of classification tools developed in recent years and employ them to classify pseudo-unitary rank 5 premodular categories up to equivalence.
Quantum Graph Homomorphisms via Operator Systems
Carlos M. Ortiz, Vern I. Paulsen
We explore the concept of a graph homomorphism through the lens of C-algebras and operator systems. We start by studying the various notions of a quantum graph homomorphism and…
Lovász theta type norms and Operator Systems
Carlos M. Ortiz, Vern I. Paulsen
To each graph on vertices there is an associated subspace of the matrices called the operator system of the graph. We prove that two graphs are isomorphic if and o…