Das, Pranta2022-03-242022-03-242021-0735p.http://hdl.handle.net/10263/7308Dissertation under the supervision of Dr. Swagatam DasWe consider the problem of clustering observations xi ∈ R d , i = 1, ..., n into k possible clusters. We are mainly interested in clustering in the presence of outliers, where classical clustering algorithms face challenges. In the framework of center-based clustering that uses seeding method to initialize centroid and update the centroid in each iterations, we proposed the method of Modified k-Means clustering. In Modified k-Means method, we introduce a new sampling method for initialize the centroids where the Robust k-Means++ method [1] has been tweaked in a straightforward and understandable way and a new centroid update strategy for avoiding the effect of outlier during centroid update stage. Now use this Modified k-Means algorithm as building blocks we proposed Robust center-based clustering algorithm that provides outlier detection and data clustering simultaneously. The proposed algorithm consists of two stages. The first stage consists of Modified k-Means process, while the second stage iteratively remove the points which are far away from their cluster center. The experimental results suggest that our method has out performed this Robust k-Means++ [1] and also TMK++ [2] and local search (LSO) [3] on real world and synthetic data.enRobust center-based clusteringk-Means clusteringOutliersRobust k-Means++TMK++LSOOther