By Nick Yanpei Liu
We develop scheduling policies that maximize the stability region of a wireless network under the assumption that mutual information accumulation is implemented at the physical layer. When the link quality between nodes is not sufficiently high that a packet can be decoded within a single slot, the system can accumulate information across multiple slots, eventually decoding the packet. The result is an expanded stability region. We propose two dynamic scheduling algorithms. The first performs scheduling every Tslots, and approaches the boundary of the stability region as T gets large, but at the cost of increased average delay. The second introduces virtual queues for each link and constructs a virtual system wherein two virtual nodes are introduced for each link. The constructed virtual system is shown to have the same stability region as the original system.
Online robust PCA and examples in computer vision
By Laura Balzano
Low-dimensional linear subspaces are used to model the background of video for object tracking in computer vision. Recently developed algorithms for Robust PCA have been applied to the problem of separating out background from moving foreground objects in the video, and they achieve this goal with very high quality. However, the algorithms work in batch on several video frames at once. In this talk I will present GRASTA (Grassmannian Robust Adaptive Subspace Tracking Algorithm), an online stochastic gradient algorithm for Robust PCA. GRASTA is uniquely suited to the video application, because it operates one frame at a time but still achieves very high quality separation. GRASTA can even identify the background when many of the pixels are discarded, making separation even faster. On some popular video benchmarks, GRASTA can separate background from foreground in 30-60 frames per second on my laptop in Matlab. I will discuss the algorithm, its performance, and some remaining challenges in the computer vision application.
Discovery Building, Orchard View Room
Laura Bolzano, Nick Yanpei Liu