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New notions of simultaneous diagonalizability of quadratic forms with applications to QCQPs
Specifically, we say that a set of quadratic forms is almost SDC (ASDC) if it is the limit of SDC sets and d-restricted SDC (d-RSDC) if it is the restriction of an SDC set in up to d-many additional dimensions.
Optimization and Control
Weighted Cheeger and Buser Inequalities, with Applications to Clustering and Cutting Probability Densities
In this paper, we show how sparse or isoperimetric cuts of a probability density function relate to Cheeger cuts of its principal eigenfunction, for appropriate definitions of `sparse cut' and `principal eigenfunction'.
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