השוואת שיטות

	אלגוריתם Mapper	אשכול ספקטרלי
תחום	טופולוגיה	למידת מכונה
משפחה	Machine learning	Machine learning
שנת המקור	2007	2002
הוגה השיטה	Singh, Mémoli & Carlsson	Ng, A. Y.; Jordan, M. I.; Weiss, Y.
סוג	Graph-based topological summarization	Graph-based clustering (spectral method)
מקור מכונן	Singh, G., Mémoli, F., & Carlsson, G. (2007). Topological methods for the analysis of high dimensional data sets and 3D object recognition. Eurographics Symposium on Point-Based Graphics, 91–100.	Ng, A. Y., Jordan, M. I., & Weiss, Y. (2002). On Spectral Clustering: Analysis and an Algorithm. Advances in Neural Information Processing Systems, 14, 849–856.
כינויים	Topological Mapper, TDA Mapper, Reeb Graph Approximation, Eşleyici Algoritma	NJW spectral clustering, graph Laplacian clustering, normalized spectral clustering, spectral graph clustering
קשורות	2	5
תקציר	The Mapper algorithm is a method in topological data analysis (TDA) that produces a graph-based summary of the shape of high-dimensional point cloud data. Introduced by Singh, Mémoli, and Carlsson in 2007 at the Eurographics Symposium on Point-Based Graphics, Mapper constructs a simplicial complex — typically a graph — that captures the global topological and geometric structure of a dataset without requiring a fixed embedding or metric assumption.	Spectral Clustering is a graph-based unsupervised learning algorithm, formalized by Ng, Jordan, and Weiss in 2002, that maps data points into a low-dimensional eigenspace derived from the similarity graph's Laplacian before applying k-means. This spectral embedding makes it possible to recover clusters of arbitrary shape — rings, crescents, interleaved spirals — that Euclidean distance-based methods consistently fail to separate.