Research Highlights
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Data-to-Born Transform for Imaging with Waves
August 2018Imaging medium properties with waves is ubiquitous in geophysical seismic exploration, medical ultrasound diagnostics, non-destructive evaluation and testing of structures, radar and sonar surveying, etc. Most commonly, one obtains an image by probing the medium of interest with wave pulses emitted and recorded by an array of sensors. Typically, the image is based on the […]
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SAMSI Research Develops Improved Estimates of Ocean Heat Content Changes
June 2018Ongoing research at the Statistical and Applied Mathematical Sciences Institute (SAMSI) has produced improved estimates of ocean heat content leading to a better understanding of which regions of the ocean are warming up and which ones are cooling down. This animation shows monthly vertically integrated ocean heat content anomalies for 2007-2016 using data from Argo […]
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The 2016-17 IAS program on Homological Mirror Symmetry (HMS)
May 2018Homological Mirror Symmetry Image by Ailsa Keating, used with permission The subject of the program in context HMS started with Kontsevich’s 1994 ICM address. By now, it is […]
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A Few Self-driving Cars Can Dramatically Improve Traffic Flow
April 2018The presence of just a few autonomous vehicles can eliminate the stop-and-go driving of the human drivers in traffic. Under normal circumstances, human drivers naturally create stop-and-go traffic, even in the absence of bottlenecks, lane changes, merges or other disruptions. A small percentage of autonomous vehicles can have a significant impact on the road, eliminating […]
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SAMSI & NC Central University Host Forensic Science Research Workshop
April 2018David Banks, SAMSI Director, gives a talk on how statistics is used in the legal system during the Statistics in the Criminal Justice System Workshop, Mar. 24. Banks talked about his experiences appearing as an expert witness in a trial that centered on discriminatory practices used in law enforcement. The workshop […]
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Fall 2018 Emphasis Program: Analyzing Macro and Micro Population Models
April 2018MBI’s Fall 2018 Emphasis Program will look at problems in modeling micro- and macro- populations in biological studies. From DNA molecules and viruses to humans, the collective behavior of individual components gives rise to the overall dynamics of the biological system. The program will explore mathematical, statistical and biological perspectives on analyzing data from such […]
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SAMSI Kicks Off 2017-2018 Programs on Environment and High-Dimensional Data Sampling
October 2017Richard Smith, Director of SAMSI, opens the CLIM Opening Workshop at the N.C. Biotechnology Center on Aug. 21, 2017. The workshop marks the beginning of the CLIM Program, focused on using data and climate models to analyze environmental changes on our Earth. Much like universities around the country […]
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Graduate Students get Practical Experience in Math and Statistics Research at 2017 IMSM
October 2017A graduate student and her group present findings on a problem posed by one of the many program partners at the 2017 IMSM Workshop on the campus of North Carolina State University from July 17-26. The workshop exposes graduate students to methods used by industry and national labs to solve real […]
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Trisections
October 2017Understanding four dimensional structures or manifolds is both a mysterious and complex task. The goal of the AIM workshop ‘Trisections and low-dimensional topology’ held in March of 2017 was to study these four dimensional objects with a new perspective introduced by David Gay and Robion Kirby in 2012. In three dimensions it has been known […]
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Waves, Kakeya sets, and Diophantine equations
June 2017Ciprian Demeter A central problem in Physics is to understand the complicated ways in which waves can interact with one another. The field of Harmonic Analysis grew out of the observation that any natural signal that is periodic in time can be built by superimposing simple waves with whole number frequencies. In geometric optics, […]