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Chance Constraints for Smart Buildings and Smarter GridsEvolving energy systems are introducing heightened levels of stress on the electric power grid. Fluctuating renewable energy sources, dynamic electricity pricing, and new loads such as plug-in

Birth, Death, and Barcodes: Discretization of Continuous Attributes in Bayesian Network Structure RecoveryBayesian networks are graphical models that can be used to represent complex relationships between a large number of random variables. A

Managing Default Contagion In Inhomogeneous Financial Networks The aim of this paper is to quantify and manage systemic risk caused by default contagion in the interbank market. Our results allow us to determine the impact of local shocks to the

Learning from Large-Scale Spatiotemporal DataIn many real-world applications, such as internet of things (IoT), transportation and physics, machine learning is applied to large-scale spatiotemporal data. Such data is often nonlinear, high-

Rational solutions of three integrable equations and applications to rogue wavesIn this talk I shall discuss rational solutions of three integrable equations, the Boussinesq equation, the focusing nonlinear Schrödinger (NLS) equation and the

Spacecraft Mission DesignNewton’s laws are used to design spacecraft missions to explore our solar system. Onboard controls are used to change the velocity and orientation of a spacecraft. Mission design must combine dynamics, control theory, and

Applications of Positive Semigroups for Modeling a Dually-Age-Structured Population Cyanobacteria take in atmospheric CO2 and use light energy to synthesize the necessary organic compounds to gain energy and grow biomass, releasing oxygen

The Value of Scattered InformationWe analyze a model in which the value of a security is comprised of multiple distinct parts and private information about these pieces is scattered among investors. We show that as information is scattered into

The Influence of Coupled Wave Networks on the Dynamics of Nonlinear LatticesNonlinear lattice models, which describe the dynamics of spatially discretized systems, are an important class of models for understanding the behavior of solid materials,

Machine Learning in Quantitative FinanceMachine learning has revolutionized fields such as image, text, and speech recognition. There is now growing interest in applying machine learning in financial applications. Recently, we have developed machine