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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

3 votes
1 answer
84 views

Largest subset not spanning the span

Let $S=\{c_1,\dots,c_n\}$ be a set of vectors in $\mathbb{R}^M$. Is the below problem studied in literature? $$\max\limits_{S'\subset S} \vert S' \vert $$ $$s.t. dim(span(S')) < dim(span(S))$$ which …