Events

An inferential theory of clustering for functional data Recently, it has been shown that Morse theory can be exploited to de- velop a sound inferential background for clustering: one can rigorously define both population and empirical clusters by means of the gradient flows asso- ciated to the population density p and the estimated density pˆ.…

Bayesian inference for intra-tumor heterogeneity in mutations and copy number variation Tissue samples from the same tumor are heterogeneous. They consist of different subclones that can be characterized by differences in DNA nucleotide sequences and copy numbers on multiple loci. Inference on tumor heterogeneity thus involves the identification of the subclonal copy number and single…

Relative exchangeability Symmetry arguments lie at the heart of classical considerations in inductive inference and statistics.  In statistics, de Finetti's notion of exchangeability is the most prominent symmetry assumption, laying the foundation for Bayesian inference.  In practice, many statistical and scientific problems exhibit only partial symmetry determined by some underlying structure in a population.  As…