This presentation will review the state of the art in atom probe tomography (APT) and emphasize the successes and remaining challenges. The presentation will conclude with a look toward future developments that will enhance APT. One of the key challenges is information processing such as reconstruction of our images and …
We present a simple technique for estimating parts of the Singular Value Decomposition (SVD) of a data matrix from a small randomly compressed “sketch” of that matrix. In sensor network settings–where each column of the data matrix comes from a separate sensor–the sketch can be assembled using operations local to …
Large-scale computational simulation using numerical methods is now widespread in science and engineering. Good approximation methods exist for many problems and fast linear solvers for the resulting linear(ized) equations too. In this talk we will focus on finite element approximations and iterative linear equation solvers. We intend to show how …
An extremely powerful tool in the field of topological data analysis (TDA) is persistent homology which seeks to quantify structure in a large data set. In particular, persistence can find homology classes for an underlying manifold even when obscured by noise. These homology classes can then give information about the …
Many scientific and engineering applications rely upon the accurate reconstruction of spatially, spectrally, and temporally distributed phenomena from photon-limited data. When the number of observed events is very small, accurately extracting knowledge from this data requires the development of both new computational methods and novel theoretical analysis frameworks. This task …
In various decision making problems, one is given the advice or predictions of several classifiers of unknown reliability, over multiple questions or queries. This scenario is different from the standard supervised setting where classifier accuracy can be assessed using available labeled training or validation data, and raises several questions: given …
The statement that price aggregates dispersed information has been a longstanding feature underscoring the importance of markets. Yet, formalizing how exactly price may incorporate individually held information has been a challenging task. I present one particular approach to information aggregation through price. The framework is a double auction mechanism modeled …