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Title: Deep learning for hurricane forecasting Abstract: The forecast of hurricane trajectories is crucial for the protection of people and property, but machine learning techniques have been scarce for this so far. I will present a method that we developed recently, a fusion of neural networks, that is able to...

Title: "Efficient representation of high-order finite element operators" Abstract: We present an extensible low-level library that provides a versatile algebraic interface and optimized implementations suitable for high-order operators: libCEED. This library aims to overcome the challenges in high-order methods that use global sparse matrices as operator representations. In fact, one...

Private AI (or: How to Keep Your Location Data Secret) As the world rushes towards the adoption of Artificial Intelligence (AI) in all aspects of our lives, the promise is great, but the risks are many. AI can help to improve and simplify our daily lives and introduce new types...

Title: " Approximation of parametrized kernels arising in nonlocal and fractional Laplace models" Abstract: We consider parametrized linear and obstacle problems driven by a spatially nonlocal integral operator. These problems have a broad impact on current developments in different fields such as, e.g., peridynamics, contact mechanics, and finance. We focus...

In many applications throughout science and engineering, model reduction plays an important role replacing expensive large-scale linear dynamical systems by inexpensive reduced order models that capture key features of the original, full order model. One approach to model reduction is to find reduced order models that are locally optimal approximations...

Spatiotemporal Dynamics of Neocortical Seizure Activity Seizures are defined as sudden, abnormal electrical disturbances in the brain. Patients diagnosed with epilepsy have chronic, recurrent seizures and often require clinical intervention to prevent these episodes. Unfortunately, a large portion of epilepsy patients do not respond to current treatment options, in part...

Spacecraft Mission Design Newton’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 computation. When Newton’s equations of motion are formulated as a Hamiltonian system, the...

Introduction to the Institute for Telecommunication Sciences (ITS) The Institute for Telecommunication Sciences (ITS) is the research and engineering laboratory for the National Telecommunications and Information Administration (NTIA). The NTIA serves as the primary telecommunications and information policy advisor to the President, as well as managing all Federal spectrum. ITS...

Beyond sparsity: compressed sensing with deep generative priors Over the last several decades, sparsity and compressed sensing has been a dominant theme in signal recovery, leading to significant improvements in MRI imaging and new algorithms in a wide range of fields. We'll begin by seeing some exciting recent algorithms for...

Data Science Meets Geometry Every minute, the humankind produces about 2000 Terabytes of data and learning from this data has the potential to improve many aspects of our lives. Doing so requires exploiting the geometric structure hidden within the data. Our overview of different models in data and computational sciences...