Systems | Information | Learning | Optimization
 

Learning (from) networks: fundamental limits, algorithms, and applications

Network models provide a unifying framework for understanding dependencies among variables in medical, biological, and other sciences. Networks can be used to reveal underlying data structures, infer functional modules, and facilitate experiment design. In practice, however, size, uncertainty and complexity of the underlying associations render these applications challenging. In this …

The big (brain) data cometh: Low-dimensional models for understanding neural systems

The recent investment in neurotechnology development has spurred tremendous excitement about the potential to uncover the operating principles of biological neural circuits. However, a storm is brewing. If the neuroengineering community is able to achieve their goals of developing technologies that increase the number of interfaced neurons by orders of …

Quasi-Newton Trust-Region Methods

Quasi-Newton methods are viable alternatives to Newton’s method for solving optimization problems because they do not require computing and solving with the potentially very large Hessian matrix while still maintaining a superlinear convergence rate. Systems of linear equations arising from quasi-Newton methods can be solved efficiently using the compact representation …

A Modified Logistic Regression Markov Chain Model for Forecasting the College Football Playoff

Selecting the teams for the College Football Playoff for NCAA Division IA men’s football is a controversial process performed by the selection committee. We present a method for forecasting the four team playoff weeks before the selection committee makes this decision. Our method uses a modified logistic regression/Markov chain model …