This work was partially supported by the AFOSR Grant FA9550-12-1-0117 and the ONR Grant N00014-12-1-0256. The author would like to thank the anonymous referees for carefully reviewing the manuscript and for providing helpful recommendations.

In this paper we consider the problem of recovering the conformal factor in a conformal class of Riemannian metrics from the boundary measurement of …

We study an inverse source problem for the acoustic wave equation in a random waveguide. The goal is to estimate the source of waves from measurement…

Semi-supervised learning algorithms reduce the high cost of acquiring labeled training data by using both labeled and unlabeled data during learning.…

Animal behavior is not driven simply by its current observations, but is strongly influenced by internal states. Estimating the structure of these in…

Standard artificial neural networks suffer from the well-known issue of catastrophic forgetting, making continual or lifelong learning problematic. R…

In this article we study the inverse problem of thermoacoustic tomography (TAT) on a medium with attenuation represented by a time- convolution (or m…

The relational data model offers unrivaled rigor and precision in defining data structure and querying complex data. Yet the use of relational databa…

Bayesian variable selection regression (BVSR) is able to jointly analyze genome-wide genetic datasets, but the slow computation via Markov chain Mont…

Spatial navigation in mammals is based on building a mental representation of their environment---a cognitive map. However, both the nature of this c…

In this paper we consider a mathematical model for photoacoustic imaging which takes into account attenuation due to thermodynamic dissipation. The p…

Despite impressive performance on numerous visual tasks, Convolutional Neural Networks (CNNs) --- unlike brains --- are often highly sensitive to sma…

Complex behaviors are often driven by an internal model, which integrates sensory information over time and facilitates long-term planning. Inferring…

Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear…

Undirected graphical models, or Markov networks, are a popular class of statistical models, used in a wide variety of applications. Popular instances…

Place cells in the rat hippocampus play a key role in creating the animal's internal representation of the world. During active navigation, these cel…

High resolution microarrays and second-generation sequencing platforms are powerful tools to investigate genome-wide alterations in DNA copy number, …

Standard artificial neural networks suffer from the well-known issue of catastrophic forgetting, making continual or lifelong learning difficult for …

We consider applying Bayesian Variable Selection Regression, or BVSR, to genome-wide association studies and similar large-scale regression problems.…

It is widely accepted that the hippocampal place cells' spiking activity produces a cognitive map of space. However, many details of this representat…

By signing up you accept our content policy

Already have an account? Sign in

No a member yet? Create an account