80 citations · 268 across the 38 of their papers we have counts for
44 papers
Higher Order Rigidity and Energy
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
In this paper, we revisit the notion of higher-order rigidity of a bar-and-joint framework. In particular, we provide a link between the rigidity properties of a framework, and the…
The Stress-Flex Conjecture
Robert Connelly, Steven J. Gortler, Louis Theran +1
Recently, it has been proven that a tensegrity framework that arises from coning the one-skeleton of a convex polytope is rigid. Since such frameworks are not always infinitesimall…
Proving the Existence of a GOR Without Probability
Steven J. Gortler, Louis Theran
In this note, we provide a new proof that a -connected graph on vertices has a general position orthogonal representation in $\RR^{n-D}$. Our argument, while based on ma…
Neural Injective Functions for Multisets, Measures and Graphs via a Finite Witness Theorem
Tal Amir, Steven J. Gortler, Ilai Avni +2
Injective multiset functions have a key role in the theoretical study of machine learning on multisets and graphs. Yet, there remains a gap between the provably injective multiset…
General position stresses
Robert Connelly, Steven J. Gortler, Louis Theran
Let be a graph with vertices, and be a target dimension. In this paper we study the set of rank matrices that are equilibrium stress matrices for at least one (…
Maximum likelihood thresholds of generic linear concentration models
Daniel Irving Bernstein, Steven J. Gortler, Louis Theran
The maximum likelihood threshold of a statistical model is the minimum number of datapoints required to fit the model via maximum likelihood estimation. In this paper we determine…