3 papers
math.ST2026
Likelihood landscape of binary latent model on a tree
David Clancy, Hanbaek Lyu, Sebastien Roch
We investigate the optimization landscape of maximum likelihood estimation (MLE) for the Cavender-Farris-Neyman (CFN) model, a two-state latent tree model fundamental to statistica…
stat.CO2025
Sample Complexity of Branch-length Estimation by Maximum Likelihood
David Clancy, Hanbaek Lyu, Sebastien Roch
We consider the branch-length estimation problem on a bifurcating tree: a character evolves along the edges of a binary tree according to a two-state symmetric Markov process, and…
math.PR2025
Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications
David Clancy, Hanbaek Lyu, Sebastien Roch +1
We consider a broadcasting problem on a tree where a binary digit (e.g., a spin or a nucleotide's purine/pyrimidine type) is propagated from the root to the leaves through symmetri…