3 accepted papers
We consider the parallel complexity of submodular function minimization (SFM). We provide a pair of methods which obtain two new query versus depth trade-offs a submodular function defined on subsets of $n$ elements that has integer values between $-M$ and $M$. The first method has depth $2$ an…
We study data clustering problems with $\ell_p$-norm objectives (e.g. \textsc{$k$-Median} and \textsc{$k$-Means}) in the context of individual fairness. The dataset consists of $n$ points, and we want to find $k$ centers such that (a) the objective is minimized, while (b) respecting the individual f…
We study the problem of finding low-cost {\em fair clusterings} in data where each data point may belong to many protected groups. Our work significantly generalizes the seminal work of Chierichetti \etal (NIPS 2017) as follows. - We allow the user to specify the parameters that define fair repr…