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Research questionHow can we determine the sample-size threshold for maximum-likelihood existence in colored Gaussian graphical models?In high-dimensional, small-sample Gaussian graphical models, the maximum-likelihood estimator may not exist because the data are insufficient. Graph-coloring symmetries can reduce the required sample size, but computing the resulting threshold is difficult.
Machine Learning
Research Paper
Statistical Machine Learning
Latest papersRecent research connected to this question, newest first.A computational approach to maximum likelihood thresholds for colored Gaussian graphical modelsApplies to colored Gaussian graphical models whose symmetry constraints are represented by graph colorings. The source studies the threshold through the rank of sample covariance matrices and the geometry of the sufficient-statistics cone, using theoretical analysis, symbolic algorithms, sampling, and topological data analysis.research paper · Sep 2, 2026
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