As part of the Duke University Department of Mathematics, the Program in Applied Mathematics hosts this ongoing series of seminars. The presentations cover a broad range of topics including numerical analysis, ordinary and partial differential equations, nonlinear systems, scientific computing, dynamical systems theory, mathematical biology, pattern formation, and complex physical systems.

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As a convenience, some selected seminars and presentations can be viewed live via the web. Further, we have video archives of past talks, which are also publicly available for you to view at any time.

- Friday, February 23, 2018, 12:00pm, 119 Physics, Wolfram Technologies in Education and Research
*Using Mathematica*

Troy Schaudt (Wolfram Technologies in Education and Research)- I'll be on campus giving a technical seminar on utilizing Mathematica, Wolfram|Alpha, and other Wolfram technologies for teaching and research, and I thought you might be interested in attending. I like to begin with a technical overview of Mathematica, as well as briefly touching on the creation of Wolfram|Alpha. Next, we can discuss emerging trends in technology and what is currently available (or being developed) to support those trends. Then, to give you a sense of what's possible, I'll discuss how other organizations use these tools for teaching and research. I think you'll be pleasantly surprised to see how suitable these technologies are for projects, course examples, and student assignments in any course where data and mathematical relationships are involved--from social science to business and economics and across all STEM fields. So that my presentation touches on the right topics, can you let me know where you'd like to use software more in your courses and research?

- Wednesday, February 28, 2018, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
*TBA*

Xiaoqian Xu (Carnegie Mellon University) - Wednesday, March 7, 2018, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
*Multi-segment Reconstruction with Invariant Features*

Zhizhen (Jane) Zhao (UIUC)- Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads to form longer sequences. Instead of trying to locate the segment within the sequence through pair-wise matching, we propose a new approach that uses shift-invariant features to estimate both the underlying signal and the distribution of the positions of the segments. Using the invariant features, we formulate the problem as a constrained nonlinear least-squares. The non-convexity of the problem leads to its sensitivity to the initialization. However, with clean data, we show empirically that for longer segment lengths, random initialization achieves exact recovery. Furthermore, we compare the performance of our approach to the results of expectation maximization and demonstrate that the new approach is robust to noise and computationally more efficient.

- Wednesday, March 14, 2018, 12:00pm, Gross 330, Applied Math And Analysis Seminar
*TBA*

Gal Mishne (Yale) - Wednesday, March 21, 2018, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
*TBA*

Terry Loring (University of New Mexico) - Wednesday, March 28, 2018, 12:00pm, Physics 119, Applied Math And Analysis Seminar
*TBA*

Nicolas Brunel (Duke) - Wednesday, April 4, 2018, 12:00pm, Physics 119, Applied Math And Analysis Seminar
*TBA*

Yu Gu (CMU) - Wednesday, April 11, 2018, 12:00pm, Physics 119, Applied Math And Analysis Seminar
*TBA*

Anna Gilbert (Michigan) - Wednesday, April 25, 2018, 12:00pm, Physics 119, Applied Math And Analysis Seminar
*TBA*

Rongjie Lai (Rensselaer Polytechnic Institute)

All seminars take place on Mondays at 4:30 pm in Room 119 Physics Building unless otherwise noted.

Tea and refreshments are served before the seminars at 4:00 pm in Physics 101.

Related Seminars

Past speakers in the Duke Applied Mathematics seminars (1997+)

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