We show two novel concentration inequalities for suprema of empirical processes when sampling without replacement, which both take the variance of the functions into account. While these inequalities may potentially have broad applications in learning theory in general, we exemplify their significance by studying the transductive setting of learning theory. For which we provide the first excess...

The escalating pace of molecular genetic discoveries in neurological diseases is repeatedly providing surprises that challenge our ability to match phenotype and genotype. With the current transition of whole-exome sequencing from the laboratory to clinical use, the ability to understand and interpret molecular-level data becomes ever more important. The classic view of one gene encoding one pr...