Locally Linear Embedding (LLE) is a widely used non-linear dimensionality reduction (NLDR) method that projects multi-dimensional
data into a low-dimensional embedding space while attempting to preserve object adjacencies from the original high-dimensional
feature space. A limitation of LLE, however, is the presence of free parameters, changing the values of which may dramatically
change the low dimensional representations of the data. In this paper, we present a novel Consensus-LLE (C-LLE) scheme which
constructs a stable consensus embedding from across multiple low dimensional unstable LLE data representations obtained by
varying the parameter (κ) controlling locally linearity. The approach is analogous to Breiman’s Bagging algorithm for generating ensemble classifiers
by combining multiple weak predictors into a single predictor. In this paper we demonstrate the utility of C-LLE in creating
a low dimensional stable representation of Magnetic Resonance Spectroscopy (MRS) data for identifying prostate cancer. Results
of quantitative evaluation demonstrate that our C-LLE scheme has higher cancer detection sensitivity (86.90%) and specificity
(85.14%) compared to LLE and other state of the art schemes currently employed for analysis of MRS data.