Conceptually, entropy is often thought of as a measure of randomness in a system. It comes in different flavors depending on the type of a system this concept is applied to. This talk will focus on connections between thermodynamic, information theory and graph theoretic definitions of entropy and survey recent theoretical and computational developments related to applying optimal transport paradigm in the context of different network science applications. In particular, we will talk about: (1) the role of microstructure entropy and gradient flow theory in describing coarsening processes in materials and quantifying their mechanical performance, and (2) relative entropy of biological networks and protein sequences.
BIO: Maria Emelianenko is a professor in the Department of Mathematical Sciences at George Mason University. Before joining Mason faculty, she held a postdoctoral research associate position at the Center for Nonlinear Analysis at Carnegie Mellon University from 2005 to 2007.
Emelianenko earned a BS in computer science and an MS in applied mathematics (summa cum laude) from Moscow State University in 2001 and a PhD in mathematics with a minor in high performance computing from Pennsylvania State University in 2005.
Emelianenko's work is highly interdisciplinary and lies at the interface of mathematics and other areas of science and engineering, such as materials science, chemistry and biology. Her research has been supported by a number of National Science Foundation (NSF) grants, including the 2011 NSF CAREER award. She is a recipient of the 2013 Mason Emerging Researcher, Scholar, Creator Award, 2009 Oak Ridge Associated Universities Ralph E. Powe Junior Faculty Enhancement Award and the 2008 Mathematical Association of America's Project NExT Fellowship. She has directed and co-directed several outreach and undergraduate research programs, including NSF-funded Research Experiences for Undergraduates programs and QED-EXTREEMS undergraduate research program at Mason. She currently serves as a director of the Industrial Immersion program and an Associate director of the Quantum Science and Engineering Center.