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Analisis Spektrum Singular×Analisis Komponen Independen (ICA)×PCA Kernel×Dekomposisi Nilai Singular×
BidangDeret WaktuPembelajaran MesinPembelajaran MesinMetode Numerik
KeluargaProcess / pipelineLatent structureLatent structureMachine learning
Tahun asal1986199419981965
PencetusDavid BroomheadComon, P.Schölkopf, B.; Smola, A. J.; Müller, K.-R.Gene Golub
TipeDimension reduction and trend extractionBlind source separation / latent-structure decompositionNonlinear dimensionality reduction via kernel trickLinear algebra decomposition
Sumber perintisBroomhead, D. S., & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2–3), 217–236. DOI ↗Comon, P. (1994). Independent component analysis, a new concept? Signal Processing, 36(3), 287–314. DOI ↗Schölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. DOI ↗Golub, G. H., & Kahan, W. (1970). Calculating the singular values and pseudo-inverse of a matrix. Journal of the SIAM Series B: Numerical Analysis, 2(2), 205–224. DOI ↗
AliasSSA, SVD-based decompositionICA, blind source separation, BSS, FastICAKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decompositionSVD, thin SVD, reduced SVD
Terkait3350
RingkasanSingular Spectrum Analysis (SSA) is a nonparametric method for time-series decomposition and forecasting based on singular value decomposition (SVD) of a time-lagged embedding matrix. Introduced by Broomhead and King (1986) and developed further by Vautard, Yiou, and Ghil (1992), SSA decomposes time series into trend, oscillatory, and noise components without assuming any underlying model. It is particularly effective for short, noisy non-stationary signals where parametric approaches fail.Independent Component Analysis (ICA) is a computational method for separating a multivariate signal into additive, statistically independent subcomponents. Formalized by Pierre Comon in 1994, ICA became the foundational framework for blind source separation and is widely applied in neuroimaging (fMRI, EEG), speech processing, and biomedical signal analysis.Kernel Principal Component Analysis (Kernel PCA) is a nonlinear dimensionality-reduction method introduced by Bernhard Schölkopf, Alexander Smola, and Klaus-Robert Müller in 1997–1998. It extends classical linear PCA to curved, non-linear data manifolds by implicitly mapping input data into a high-dimensional feature space via a kernel function, then performing standard PCA in that space — all without ever computing the mapping explicitly.Singular Value Decomposition (SVD) is a fundamental matrix factorization technique that decomposes any m × n matrix A into the product A = U Σ V^T, where U and V are orthogonal matrices and Σ is a diagonal matrix of singular values. Developed by Gene Golub and others in the 1960s–1970s, SVD is the most robust method for analyzing matrix structure and solving linear systems.
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ScholarGateBandingkan metode: Singular Spectrum Analysis · Independent Component Analysis · Kernel PCA · Singular Value Decomposition. Diakses 2026-06-17 dari https://scholargate.app/id/compare