Skeletal responses to an all-female unassisted Antarctic traverse

On the Time to Traverse all Edges of a Graph

The expected time for a random walk on an undirected graph G = (V,E) to visit all the vertices is O(|V ||E|) [AKLLR], and is O(|V |) for regular graphs [KLNS]. Here we show that both bounds hold even if we are required to traverse all the edges, although our bound for regular graphs requires that the degree be |V | for some δ < 1.

Skeletal responses to spaceflight.

Designing an Integrated All-Optical Analog to Digital Converter

We present the procedure for designing a high speed and low power all-optical analog to digital converter (AO-ADC), by integrating InGaAsP semiconductor optical amplifier (SOA) with InP based photonic crystal (PhC) drop filters. The self-phase modulation in the SOA can shift the frequency of the Gaussian input pulse. The two output PhC based drop filters are designed to appropriately code the f...

Learning to Traverse Image Manifolds

We present a new algorithm, Locally Smooth Manifold Learning (LSML), that learns a warping function from a point on an manifold to its neighbors. Important characteristics of LSML include the ability to recover the structure of the manifold in sparsely populated regions and beyond the support of the provided data. Applications of our proposed technique include embedding with a natural out-of-sa...

Traverse Analysis

Traversing is a fundamental operation in surveying and the assessment of the quality of a traverse is a skill that every surveyor develops. Acceptable traverses have angular and linear misclosures that fall within acceptable bounds; which would permit the adjustment of the traverse measurements to remove mathematical inconsistencies. Unfortunately these misclosures tell very little about the pr...