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What happened, and who cared? Evidencing research impact retrospectively
Higher Education Institutions in the UK and elsewhere are under increasing pressure to measure the impact of their research, which can include how the research has increased scientific engagement amongst the general public.
Physics and Society Popular Physics
The local convexity of solving systems of quadratic equations
This paper considers the recovery of a rank $r$ positive semidefinite matrix $X X^T\in\mathbb{R}^{n\times n}$ from $m$ scalar measurements of the form $y_i := a_i^T X X^T a_i$ (i. e., quadratic measurements of $X$).
Minimal Dirichlet energy partitions for graphs
Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the partition components.
