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Sector-Mean: Deterministic Initialization of K-Means Centroids via Angular Sector Partitioning

arXiv · AI, language, vision and robotics · article · Sep 6, 2026 · UTC

K-Means is one of the most widely used clustering algorithms, but its susceptibility to initial centroid selection remains a primary bottleneck for its convergence speed and clustering accuracy. This paper proposes Sector-Mean Initialization, a deterministic initialization strategy with O(N) time complexity that partitions the two-dimensional data space into angular sectors around the global centroid and initializes centroids using sector-wise means. We evaluate the method on established two-dimensional benchmarks (SIPU, Birch) and multiple real-world datasets, comparing against random, K-Mean

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First collected: 2026-09-20T21:12:06.801Z. This is not the publication date.