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math.CO2023
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…
math.MG2023
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 (…
math.ST2023
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…