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Applied Math Seminar - William Kath

William Kath
October 18, 2018
10:30AM - 11:30AM
Enarson Classroom Bldg 218

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Add to Calendar 2018-10-18 10:30:00 2018-10-18 11:30:00 Applied Math Seminar - William Kath Title: Special Applied Math Seminar Series Speaker: William Kath (Northwestern University) Abstract: In optical systems employing optical pulses, amplified spontaneous emission noise leads to errors if noise-induced fluctuations are sufficiently large. Large fluctuations only occur with small probabilities, however. We discuss methods for modeling large deviations in such systems. In particular, we show how the problem of studying these events can be formulated as a constrained optimization problem that combines the pulse evolution equation and, in some cases, a detector model. The results of the combined optimization are then used to guide importance-sampled Monte-Carlo simulations to compute error probabilities. Enarson Classroom Bldg 218 Department of Mathematics math@osu.edu America/New_York public

Title: Special Applied Math Seminar Series

SpeakerWilliam Kath (Northwestern University)

Abstract: In optical systems employing optical pulses, amplified spontaneous emission noise leads to errors if noise-induced fluctuations are sufficiently large. Large fluctuations only occur with small probabilities, however. We discuss methods for modeling large deviations in such systems. In particular, we show how the problem of studying these events can be formulated as a constrained optimization problem that combines the pulse evolution equation and, in some cases, a detector model. The results of the combined optimization are then used to guide importance-sampled Monte-Carlo simulations to compute error probabilities.

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