Now showing items 1-2 of 2

    • Generalized K-means for Metric Space Clustering Using PageRank 

      Hajij, Mustafa; Said, Eyad; Todd, Robert (The Eurographics Association, 2020)
      We utilize the PageRank vector to generalize the k-means clustering algorithm to directed and undirected graphs. We demonstrate that PageRank and other centrality measures can be used in our setting to robustly compute ...
    • Persistent Homology and the Discrete Laplace Operator For Mesh Similarity 

      Hajij, Mustafa; Zhang, Yunhao; Liu, Haowen; Rosen, Paul (The Eurographics Association, 2020)
      We use persistent homology along with the eigenfunctions of the Laplacian to study similarity amongst geometric and combinatorial objects. Our method relies on studying the lower-star filtration induced by the eigenfunctions ...