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Applied Mathematics Laboratory: A Course-Based Research Internship, Mathew Gluck, Alexei Kolesnikov
Applied Mathematics Laboratory: A Course-Based Research Internship, Mathew Gluck, Alexei Kolesnikov
The Mathematics Enthusiast
The paper describes the Applied Mathematics Laboratory (AML), a course-based model of undergraduate research engagement in applied mathematics at Towson University. We provide historical background of similar programs at other institutions in the US; describe the implementation and the logic model of the AML; include an example of a recent project; and describe the place of the AML in the context of other course-based student research experiences in STEM.
Mathematics And Enterprise Innovation, Pingwen Zhang
Mathematics And Enterprise Innovation, Pingwen Zhang
Bulletin of Chinese Academy of Sciences (Chinese Version)
The innovation and development of China are inseparable from mathematics. The development of applied mathematics, embodied in scientific discovery, national defense construction and enterprise innovation, is mainly driven by national demand. At present, China's economy has entered into a period of innovation driven development. Enterprises, as the main participants of national economic activities, need the support of mathematics for innovation and development. Regarding how to promote enterprise innovation through mathematics, this paper puts forward four aspects that we need to pay attention to and improve on: posing problems, solving problems, reporting results, and evaluating results. At the end, the paper …
Exact Recovery Of Prototypical Atoms Through Dictionary Initialization, Greg Zanotti, Enrico Au-Yeung
Exact Recovery Of Prototypical Atoms Through Dictionary Initialization, Greg Zanotti, Enrico Au-Yeung
DePaul Discoveries
In dictionary learning, a matrix comprised of signals Y is factorized into the product of two matrices: a matrix of prototypical "atoms" D, and a sparse matrix containing coefficients for atoms in D, called X. Dictionary learning finds applications in signal processing, image recognition, and a number of other fields. Many algorithms for solving the dictionary learning problem follow the alternating minimization paradigm; that is, by alternating solving for D and X. In 2014, Agarwal et al. proposed a dictionary initialization procedure that is used before this alternating minimization process. We show that there is a …