Constraints on Perfect Phylogeny Mixture Model to Reduce Ambiguity
Published:Dec 31, 2025 15:39
•1 min read
•ArXiv
Analysis
This paper investigates the ambiguity inherent in the Perfect Phylogeny Mixture (PPM) model, a model used for phylogenetic tree inference, particularly in tumor evolution studies. It critiques existing constraint methods (longitudinal constraints) and proposes novel constraints to reduce the number of possible solutions, addressing a key problem of degeneracy in the model. The paper's strength lies in its theoretical analysis, providing results that hold across a range of inference problems, unlike previous instance-specific analyses.
Key Takeaways
- •The PPM model suffers from significant ambiguity, leading to multiple possible phylogenetic trees for the same data.
- •Existing longitudinal constraints are shown to be ineffective in reducing this ambiguity.
- •The paper proposes and analyzes novel constraints to mitigate the ambiguity.
- •The analysis uses an ensemble-based theoretical framework, providing results applicable to a wide range of inference problems.
Reference
“The paper proposes novel alternative constraints to limit solution ambiguity and studies their impact when the data are observed perfectly.”