Search Results for author: Melanie Schmidt

Found 6 papers, 0 papers with code

MRI Scan Synthesis Methods based on Clustering and Pix2Pix

no code implementations8 Dec 2023 Giulia Baldini, Melanie Schmidt, Charlotte Zäske, Liliana L. Caldeira

The evaluation shows that the segmentation works well with synthesized scans (in particular, with Pix2Pix methods) in many cases.

Clustering Segmentation

Approximating Fair $k$-Min-Sum-Radii in $\mathbb{R}^d$

no code implementations2 Sep 2023 Lukas Drexler, Annika Hennes, Abhiruk Lahiri, Melanie Schmidt, Julian Wargalla

We propose a PTAS for the fair $k$-min-sum-radii problem in Euclidean spaces of arbitrary dimension for the case of constant $k$.

Attribute Fairness

Coresets for constrained k-median and k-means clustering in low dimensional Euclidean space

no code implementations14 Jun 2021 Melanie Schmidt, Julian Wargalla

There have been recent efforts to design unified algorithms to solve constrained $k$-means problems without using knowledge of the specific constraint at hand aside from mild assumptions like the polynomial computability of feasibility under the constraint (compute if a clustering satisfies the constraint) or the presence of an efficient assignment oracle (given a set of centers, produce an optimal assignment of points to the centers which satisfies the constraint).

Clustering

Noisy, Greedy and Not So Greedy k-means++

no code implementations2 Dec 2019 Anup Bhattacharya, Jan Eube, Heiko Röglin, Melanie Schmidt

We show that this is not the case by presenting a family of instances on which greedy k-means++ yields only an $\Omega(\ell\cdot \log k)$-approximation in expectation where $\ell$ is the number of possible centers that are sampled in each iteration.

Open-Ended Question Answering

Analysis of Ward's Method

no code implementations11 Jul 2019 Anna Großwendt, Heiko Röglin, Melanie Schmidt

In this paper, we show that Ward's method computes a $2$-approximation with respect to the $k$-means objective function if the optimal $k$-clustering is well separated.

Clustering

Cannot find the paper you are looking for? You can Submit a new open access paper.