Metcalf - MCS - Raval, Kiran - 2.10.26. This project will explore different ways to validate Nonnegative Matrix Factorization (NMF) results. NMF is a linear dimensionality reduction tool which is useful for approximating nonnegative data into semantically distinct clusters. Understanding the conditions under which such approximations are meaningful is crucial to incorporate such tools in further downstream tasks. The topic has multiple interesting areas for explorations which can be tailored accordingly: Theoretical: Characterising the regularity conditions for unique NMF results. High-Performance computing (HPC): Current methods for model validation are all NP-hard to verify. Designing parallel/randomised algorithms to accelerate these techniques is required. Data Science: Validating these linear models against other nonlinear embedding techniques.
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Job Type
Full-time
Career Level
Intern
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