no code implementations • 1 Sep 2023 • Dhruv Patel, Hui Shen, Shankar Bhamidi, Yufeng Liu, Vladas Pipiras
In canonical settings with ground truth clusters, we derive bounds for algorithms such as $k$-means$++$ to find good initializations and thus leading to the correctness of clustering via the main result.
no code implementations • 4 Nov 2021 • Aman Barot, Shankar Bhamidi, Souvik Dhara
With the increasing relevance of large networks in important areas such as the study of contact networks for spread of disease, or social networks for their impact on geopolitics, it has become necessary to study machine learning tools that are scalable to very large networks, often containing millions of nodes.
no code implementations • 3 Dec 2014 • James D. Wilson, Simi Wang, Peter J. Mucha, Shankar Bhamidi, Andrew B. Nobel
In addition, we carry out a simulation study to assess the effectiveness of ESSC in networks with various types of community structure, including networks with overlapping communities and those with background vertices.