3 citations · 5 across the 3 of their papers we have counts for
4 papers
Stochastic Tverberg theorems and their applications in multi-class logistic regression, data separability, and centerpoints of data
Jesús A. De Loera, Thomas A. Hogan
We present new stochastic geometry theorems that give bounds on the probability that random data classes all contain a point in common in their convex hulls. We apply these sto…
Universal Decision-Based Black-Box Perturbations: Breaking Security-Through-Obscurity Defenses
Thomas A. Hogan, Bhavya Kailkhura
We study the problem of finding a universal (image-agnostic) perturbation to fool machine learning (ML) classifiers (e.g., neural nets, decision tress) in the hard-label black-box…
Tverberg-Type Theorems with Trees and Cycles as (Nerve) Intersection Patterns
Jesús A. De Loera, Thomas A. Hogan, Deborah Oliveros +1
Tverberg's theorem says that a set with sufficiently many points in can always be partitioned into parts so that the -simplex is the (nerve) intersection…
Tverberg theorems over discrete sets of points
Jesús A. De Loera, Thomas A. Hogan, Frédéric Meunier +1
This paper discusses Tverberg-type theorems with coordinate constraints (i.e., versions of these theorems where all points lie within a subset and the inte…