4 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…
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…
Reconstruction in one dimension from unlabeled Euclidean lengths
Robert Connelly, Steven J. Gortler, Louis Theran
Let be a -connected ordered graph with vertices and edges. Let be a randomly chosen mapping of these vertices to the integer range $\{1, 2,3, \ldots…
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…