Dr. Allen develops mathematical tools to help scientists understand massive amounts of data. Recent technological advances in medicine and engineering have produced larger and more complex data sets. By using techniques from artificial intelligence, optimization theory, and high-performance computing, Dr. Allen solves the statistical problems arising from these new technologies. Also as part of her joint position, Dr. Allen works directly with medical researchers to develop the necessary quantitative tools to make discoveries from high-throughput biomedical data. Her work has been applied in areas of neuroimaging, functional genomics, and metabolomics.