Dimensional analysis

Thursday, November 13, 2014 - 2:00pm - 2:50pm
Isabella Novik (University of Washington)
A simplicial (d-1)-dimensional complex K is called balanced if the graph of K is d-colorable. Rather surprisingly, it turns out that many well-known face enumeration results have natural balanced analogs (or at least conjectural analogs). Specifically, we will discuss the balanced analog of the celebrated Lower Bound Theorem (together with the treatment of equality cases) and the balanced analog of the Generalized Lower Bound Conjecture.
Monday, March 6, 2006 - 1:30pm - 2:30pm
Richard Baraniuk (Rice University)
The images generated by varying the underlying articulation parameters
of an object (pose, attitude, light source position, and so on) can be
viewed as points on a low-dimensional image appearance manifold
(IAM) in a high-dimensional ambient space. In this talk, we will
expand on the observation that typical IAMs are not differentiable, in
particular if the images contain sharp edges. However, all is not
lost, since IAMs have an intrinsic multiscale geometric structure. In
Tuesday, October 18, 2005 - 11:40am - 12:30pm
Randy Moses (The Ohio State University)
We present recent work on imaging and reconstruction of objects
from radar backscatter measurements taken over wide aspect angles.
Radar backscattering is a function of several variables, including
location, (complex-valued) amplitude, polarization, and the aspect
(azimuth and elevation) of the interrogating sensor. This
high-dimensional data is often displayed as a projection onto a
two-dimensional image. As next-generation radar systems become
increasingly diverse and capable, the assumptions and algorithms
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