72 citations · 250 across the 57 of their papers we have counts for
5 papers · 1 filter
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…
Transverse Rigidity is Prestress Stability
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent…
Global rigidity of complete bipartite graphs
Robert Connelly, Steven J. Gortler, Louis Theran
This note gives a detailed proof of the following statement. Let and , with . Then the complete bipartite graph $K_{m…
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…
Realizations of Isostatic Material Frameworks
Mahdi Sadjadi, Varda F. Hagh, Mingyu Kang +6
This paper studies the set of equivalent realizations of isostatic frameworks in two dimensions, and algorithms for finding all such realizations. We show that an isostatic framewo…