activity
20072026
most citedClustering Stability: An Overview

133 citations · 336 across the 8 of their papers we have counts for

collaborators

8 papers

cs.LG2026

We Need Explanation Cards to Connect Explanation Algorithms to the Real World

Eric Günther, Balázs Szabados, Kristof Meding +3

Algorithmic explanations are intended to help stakeholders understand opaque algorithmic decisions, but in practice, they often fall short. First, the meaning of algorithmic explan…

cs.CL2023★ 31 cited

ChatGPT Participates in a Computer Science Exam

Sebastian Bordt, Ulrike von Luxburg

We asked ChatGPT to participate in an undergraduate computer science exam on ''Algorithms and Data Structures''. The program was evaluated on the entire exam as posed to the studen…

cs.LG2020★ 2 cited

Clustering with Tangles: Algorithmic Framework and Theoretical Guarantees

Solveig Klepper, Christian Elbracht, Diego Fioravanti +4

Originally, tangles were invented as an abstract tool in mathematical graph theory to prove the famous graph minor theorem. In this paper, we showcase the practical potential of ta…

stat.ML2014★ 1 cited

Consistent procedures for cluster tree estimation and pruning

Kamalika Chaudhuri, Sanjoy Dasgupta, Samory Kpotufe +1

For a density on , a {\it high-density cluster} is any connected component of , for some . The set of all high-density clusters forms a…

stat.ML2010★ 133 cited

Clustering Stability: An Overview

Ulrike von Luxburg

A popular method for selecting the number of clusters is based on stability arguments: one chooses the number of clusters such that the corresponding clustering results are "most s…

cs.DS2010★ 29 cited

Hitting and commute times in large graphs are often misleading

Ulrike von Luxburg, Agnes Radl, Matthias Hein

Next to the shortest path distance, the second most popular distance function between vertices in a graph is the commute distance (resistance distance). For two vertices u and v, t…

stat.ML2009★ 110 cited

Optimal construction of k-nearest neighbor graphs for identifying noisy clusters

Markus Maier, Matthias Hein, Ulrike von Luxburg

We study clustering algorithms based on neighborhood graphs on a random sample of data points. The question we ask is how such a graph should be constructed in order to obtain opti…

stat.ME2007★ 30 cited

A Geometric Approach to Confidence Sets for Ratios: Fieller's Theorem, Generalizations, and Bootstrap

Ulrike von Luxburg, Volker H. Franz

We present a geometric method to determine confidence sets for the ratio E(Y)/E(X) of the means of random variables X and Y. This method reduces the problem of constructing confide…