Explanation of differences across a pair of groups

Often data collected under similar circumstances reflect fundamentally
different patterns; that data needs to be analyzed, and the sources of the
differences need to be explained. Such cases arise in widely varying
applications including clinical research, quality assurance, comparative
effectiveness research, and many others. Existing statistical methods for
the comparison of groups may be divided into three categories of approaches:
summary statistics such as KL-Divergence, which give a quantitative measure

Bypassing Genomics: The New Era of Transcriptomics with RNA-Seq and Genome-Free

By direct, high-throughput sequencing of RNA samples, RNA-Seq has enabled
the study of transcriptomes without prior knowledge of genome or transcript
sequences. As a result, it is now relatively easy to study the transcriptome
of any organism, not just those select few model organisms that dominate
biomedical research. For example, with our collaborators, we are using
RNA-Seq to examine the transcriptomic basis for the remarkable regenerative
ability of the axolotl salamander, which has not had its extremely large

Persistent Homology and Its Application to Brain Imaging

Computational neuroanatomy utilizes various non-invasive imaging modalities such as magnetic resonance imaging (MRI) and diffusion tensor imaging (DTI) in quantifying the spatiotemporal dynamics of anatomical structures. Many modeling frameworks in computational neuroanatomy assume diffeomorphism and topological invariance between structures, and hence are not applicable to anatomical structures with changing topology. Persistent homology is a recently popular branch of computational topology that can handle changing topology.


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