5 papers
Algebraic Distance Optimization in Polyhedral Norms
Eliana Duarte, Nidhi Kaihnsa, Julia Lindberg +2
We consider the distance minimization problem to a real algebraic variety $X \subseteq \RR^n$ when the metric is induced by a polyhedral norm. Each point in the variety has a Voron…
Reinforcement Learning for Power-Flow Network Analysis
Alperen Ergur, Julia Lindberg, Vinny Miller
The power flow equations are non-linear multivariate equations that describe the relationship between power injections and bus voltages of electric power networks. Given a network…
Efficient Tensor Decomposition via Moment Matrix Extension
Bobby Shi, Julia Lindberg, Joe Kileel
Motivated by a flurry of recent work on efficient tensor decomposition algorithms, we show that the celebrated moment matrix extension algorithm of Brachat, Comon, Mourrain, and Ts…
Tropical Bisectors and Carlini-Wagner Attacks
Gillian Grindstaff, Julia Lindberg, Daniela Schkoda +2
Pasque et al. showed that using a tropical symmetric metric as an activation function in the last layer can improve the robustness of convolutional neural networks (CNNs) against s…
Method of moments for Gaussian mixtures: Implementation and benchmarks
Haley Colgate Kottler, Julia Lindberg, Jose Israel Rodriguez
Gaussian mixture models are universal approximators in the sense that any smooth density can be approximated arbitrarily well with a Gaussian mixture model with enough components.…