When: March 4, 2015, 12:30 PM
Location: H.F. DeLuca Forum, Discovery Building, 330 N. Orchard St.
Contact: 608-316-4401, firstname.lastname@example.org
Information Theory in Network Coding
Network coding has been used in many applications. However, one of the basic problems, finding the coding capacity of most networks, is still unsolved. The entropy region is central to computing network coding capacities, but it is not well characterized for n > 3 random variables. Each point in the entropy region for n=4 has an Ingleton score. This score is bounded above, but its supremum is still unknown. The Four-Atom Conjecture, which said that s < 0.089373, was disproved by Matus and Csirmaz in 2013. In this talk, we introduce a systematic approach that obtains larger values of s than Matus and Csirmaz and investigate the true value of its supremum.
Speaker: Ting Ting Nan
Algebraic approaches to the Belgian chocolate problem
Machinery and other physical systems are often designed to have built-in feedback that regulates their behavior. We are often concerned with when the resulting feedback loop is stable. This leads to the issue of representing these systems mathematically and what it means for the system to be stable. We will present a famous open problem concerning the stabilization of such systems. The problem asks for which values of a process parameter ∆ we can stabilize a specific feedback loop. In contrast to previous methods that used optimization and search techniques, we will discuss recent algebraic methods that have led to largest known ∆ for which the system can be stabilized.
Speaker: Zachary Charles
SILO is a lecture series with speakers from the UW faculty, graduate students or invited researchers that discuss mathematical related topics. The seminars are organized by WID’s Optimization research group.
SILO’s purpose is to provide a forum that helps connect and recruit mathematically-minded graduate students. SILO is a lunch-and-listen format, where speakers present interesting math topics while the audience eats lunch.