72 citations · 250 across the 57 of their papers we have counts for
18 papers · 1 filter
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…
Computing maximum likelihood thresholds using graph rigidity
Daniel Irving Bernstein, Sean Dewar, Steven J. Gortler +3
The maximum likelihood threshold (MLT) of a graph is the minimum number of samples to almost surely guarantee existence of the maximum likelihood estimate in the corresponding…
Maximum likelihood thresholds via graph rigidity
Daniel Irving Bernstein, Sean Dewar, Steven J. Gortler +3
The maximum likelihood threshold (MLT) of a graph is the minimum number of samples to almost surely guarantee existence of the maximum likelihood estimate in the corresponding…
Universal rigidity on the line, point order
Bryan Chen, Robert Connelly, Anthony Nixon +1
We show that universal rigidity of a generic bar and joint framework (G,p) in the line depends on more than the ordering of the vertices. In particular, we construct examples of on…
Algebraic matroids in action
Zvi Rosen, Jessica Sidman, Louis Theran
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics…