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stat.ME2022★ 1 cited
Path-following methods for Maximum a Posteriori estimators in Bayesian hierarchical models: How estimates depend on hyperparameters
Zilai Si, Yucong Liu, Alexander Strang
Maximum a posteriori (MAP) estimation, like all Bayesian methods, depends on prior assumptions. These assumptions are often chosen to promote specific features in the recovered est…
stat.CO2022
Hierarchical Ensemble Kalman Methods with Sparsity-Promoting Generalized Gamma Hyperpriors
Hwanwoo Kim, Daniel Sanz-Alonso, Alexander Strang
This paper introduces a computational framework to incorporate flexible regularization techniques in ensemble Kalman methods for nonlinear inverse problems. The proposed methodolog…
q-bio.PE2022
Similarity Suppresses Cyclicity: Why Similar Competitors Form Hierarchies
Christopher Cebra, Alexander Strang
Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamic…