02.08.2023

MCML Researchers With One Paper at KDD 2023
29th ACM SIGKDD International Conference on Knowledge Discovery and Data (KDD 2023). Long Beach, CA, USA, 06.08.2023–10.08.2023
We are happy to announce that MCML researchers are represented with one paper at KDD 2023. Congrats to our researchers!
Connecting the Dots — Density-Connectivity Distance unifies DBSCAN, k-Center and Spectral Clustering.
KDD 2023 - 29th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. Long Beach, CA, USA, Aug 06-10, 2023. DOI GitHub
Abstract
Despite the popularity of density-based clustering, its procedural definition makes it difficult to analyze compared to clustering methods that minimize a loss function. In this paper, we reformulate DBSCAN through a clean objective function by introducing the density-connectivity distance (dc-dist), which captures the essence of density-based clusters by endowing the minimax distance with the concept of density. This novel ultrametric allows us to show that DBSCAN, k-center, and spectral clustering are equivalent in the space given by the dc-dist, despite these algorithms being perceived as fundamentally different in their respective literatures. We also verify that finding the pairwise dc-dists gives DBSCAN clusterings across all epsilon-values, simplifying the problem of parameterizing density-based clustering. We conclude by thoroughly analyzing density-connectivity and its properties – a task that has been elusive thus far in the literature due to the lack of formal tools.
MCML Authors
02.08.2023
Related

27.02.2025
MCML Researchers With Six Papers at WACV 2025
IEEE/CVF Winter Conference on Applications of Computer Vision (WACV 2025). Tucson, AZ, USA, 28.02.2025 - 04.03.2024

24.02.2025
MCML Researchers With Seven Papers at AAAI 2025
39th Conference on Artificial Intelligence (AAAI 2025). Philadelphia, PA, USA, 25.02.2025 - 04.03.2024

05.12.2024
MCML Researchers With 28 Papers at NeurIPS 2024
38th Conference on Neural Information Processing Systems (NeurIPS 2024). Vancouver, Canada, 10.12.2024 - 15.12.2024