Clustering under perturbation resilience

MF Balcan, Y Liang - SIAM Journal on Computing, 2016 - SIAM
Motivated by the fact that distances between data points in many real-world clustering
instances are often based on heuristic measures, Bilu and Linial Proceedings of the …

Bilu–Linial stable instances of max cut and minimum multiway cut

K Makarychev, Y Makarychev… - Proceedings of the twenty …, 2014 - SIAM
We investigate the notion of stability proposed by Bilu and Linial. We obtain an exact
polynomial-time algorithm for γ-stable Max Cut instances with for some absolute constant c> …

[HTML][HTML] Robust Object Detection Under Smooth Perturbations in Precision Agriculture

NTA Mahmoud, I Virro, AGM Zaman, T Lillerand… - AgriEngineering, 2024 - mdpi.com
Machine learning algorithms are increasingly used to enhance agricultural productivity cost-
effectively. A critical task in precision agriculture is locating a plant's root collar. This is …

Computational feasibility of clustering under clusterability assumptions

S Ben-David - arXiv preprint arXiv:1501.00437, 2015 - arxiv.org
It is well known that most of the common clustering objectives are NP-hard to optimize. In
practice, however, clustering is being routinely carried out. One approach for providing …

Stability and recovery for independence systems

V Chatziafratis, T Roughgarden, J Vondrák - arXiv preprint arXiv …, 2017 - arxiv.org
Two genres of heuristics that are frequently reported to perform much better on" real-world"
instances than in the worst case are greedy algorithms and local search algorithms. In this …

-center Clustering under Perturbation Resilience

MF Balcan, N Haghtalab, C White - arXiv preprint arXiv:1505.03924, 2015 - arxiv.org
The $ k $-center problem is a canonical and long-studied facility location and clustering
problem with many applications in both its symmetric and asymmetric forms. Both versions of …

k-center Clustering under Perturbation Resilience

MF Balcan, N Haghtalab, C White - ACM Transactions on Algorithms …, 2020 - dl.acm.org
The k-center problem is a canonical and long-studied facility location and clustering problem
with many applications in both its symmetric and asymmetric forms. Both versions of the …

Finding meaningful cluster structure amidst background noise

S Kushagra, S Samadi, S Ben-David - … , ALT 2016, Bari, Italy, October 19 …, 2016 - Springer
We consider efficient clustering algorithm under data clusterability assumptions with added
noise. In contrast with most literature on this topic that considers either the adversarial noise …

Semi-supervised active clustering with weak oracles

T Kim, J Ghosh - arXiv preprint arXiv:1709.03202, 2017 - arxiv.org
Semi-supervised active clustering (SSAC) utilizes the knowledge of a domain expert to
cluster data points by interactively making pairwise" same-cluster" queries. However, it is …

Relaxed oracles for semi-supervised clustering

T Kim, J Ghosh - arXiv preprint arXiv:1711.07433, 2017 - arxiv.org
Pairwise" same-cluster" queries are one of the most widely used forms of supervision in
semi-supervised clustering. However, it is impractical to ask human oracles to answer every …