Studying dynamic aspects of physical and chemical processes is critical to the advances of many sciences. State-of-the-art scientific computing technologies allow accurate numerical modeling of many physical and chemical processes in their spatial and temporal domains. However, an increasingly challenging problem scientists must face is how to effectively explore and understand the resulting ti...

Raw space-based gravitational-wave data like LISA's phase measurements are dominated by laser frequency noise. The standard technique to make this usable for science is time-delay interferometry (TDI), which cancels noise terms forming suitable combinations of delayed measurements. We recently introduced the basic concepts an alternative approach which, unlike TDI, does not rely on independent ...

An available bit rate (ABR) service allows applications to access a time-varying network capacity. In a basic ABR service, the available network capacity is divided \fairly" amongst active connections, without regard to the utility that each application derives from the bandwidth allocation. The goal of this paper is to improve both the global and individual utility obtained by applications usi...

Many exist studies always use Markov decision processes (MDPs) in modeling optimal route choice in stochastic, time-varying networks. However, taking many variable traffic data and transforming them into optimal route decision is a computational challenge by employing MDPs in real transportation networks. In this paper we model finite horizon MDPs using directed hypergraphs. It is shown that th...

<p style='text-indent:20px;'>One approach to understanding complex data is study its shape through the lens of algebraic topology. While early development topological analysis focused primarily on static data, in recent years, theoretical and applied studies have turned that varies time. A time-varying collection metric spaces as formed, for example, by a moving school fish or flock birds...