** Application deadline was April 4, 2019 **
Mathematical models intended for computational simulation of complex real-world processes are a crucial ingredient in virtually every field of science, engineering, medicine, and business. Statistical models similarly play a crucial role in modeling real-world processes in these fields as well. Two related but independent phenomena have led to the near-ubiquity of models: the remarkable growth in computing power, and the matching gains in algorithmic speed and accuracy. The recent explosion in the availability of data, and the computing power to deal with it, have only increased the centrality of mathematical/statistical modeling. Statistical models tend to be used for modeling processes for which there is abundant data, while mathematical models tend to be developed for data-poor environments, although there are many exceptions.
This workshop will expose students to the research process involved in applying mathematics and statistics to questions in uncertainty quantification or model uncertainty and practical problems in medicine. Besides gaining familiarity with the research process, students will also learn about handling large data sets and insight into modeling and will also have fun working with peers on a group project.
Students will work in small groups on specific problems drawn from several fields. There will be freedom to try new ideas and the investigations will be guided by the instructors. A specific aim will be to promote awareness of the key points in the research process from problem formulation to the articulation of results and their distillation into tools for training future students. Each day will begin with an overview giving the appropriate background, motivation, and context for the day’s activity. For the rest of the day, there will be ample time for group work which will be punctuated with group reports and short presentations by SAMSI early career mathematical scientists recounting their own experiences in carrying through a research project.
Problem topics will include predictive modeling for tropical cyclones with historical storm data, analysis of the heart disease data, imaging genetics studies on Alzheimer’s disease, differential equation models which can be used for modeling biological population growth, stock market fluctuations, and heat transfer, and forecast the impact of the implementation of the Patient Protection and Affordable Care Act and the Health Care and Education Reconciliation Act. Based on each group’s expertise we expect that computing will be carried out using either MATLAB or R.
** NOTE: Planning for this event is ongoing. More information will be posted as it becomes available. **
** Notice of Consent **
SAMSI values the proprietary and intellectual property of our participants. The materials presented at our various workshops and programs are in high demand by event participants and the applied mathematics and statistics community that comprise our audience. Therefore, we encourage all of our invited speakers to share their materials, as appropriate, in order to pass along the valuable research that is being done in your field of study and is a focus of this event. In addition, unless SAMSI is give written approval from our speakers we ARE NOT authorized to share the materials presented at this event.
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