Supervised discriminant isomap with maximum margin graph regularization for dimensionality reduction

H Qu, L Li, Z Li, J Zheng - Expert Systems with Applications, 2021 - Elsevier
As one of the most popular nonlinear dimensionality reduction methods, Isomap has been
widely used in pattern recognition and machine learning. However, Isomap has the …

Discriminative sparse embedding based on adaptive graph for dimension reduction

Z Liu, K Shi, K Zhang, W Ou, L Wang - Engineering Applications of Artificial …, 2020 - Elsevier
The traditional manifold learning methods usually utilize the original observed data to
directly define the intrinsic structure among data. Because the original samples often contain …

Semi-supervised discriminant Isomap with application to visualization, image retrieval and classification

R Huang, G Zhang, J Chen - International Journal of Machine Learning …, 2019 - Springer
As one of the most promising nonlinear unsupervised dimensionality reduction (DR)
technique, the Isomap reveals the intrinsic geometric structure of manifold by preserving …

Stable orthogonal local discriminant embedding for linear dimensionality reduction

Q Gao, J Ma, H Zhang, X Gao… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
Manifold learning is widely used in machine learning and pattern recognition. However,
manifold learning only considers the similarity of samples belonging to the same class and …

Local linear embedding with adaptive neighbors

J Xue, B Zhang, Q Qiang - Pattern Recognition, 2023 - Elsevier
Dimensionality reduction is one of the most important techniques in the field of data mining.
It embeds high-dimensional data into a low-dimensional vector space while keeping the …

Robust dimensionality reduction via feature space to feature space distance metric learning

B Li, ZT Fan, XL Zhang, DS Huang - Neural Networks, 2019 - Elsevier
Images are often represented as vectors with high dimensions when involved in
classification. As a result, dimensionality reduction methods have to be developed to avoid …

Flexible manifold embedding: A framework for semi-supervised and unsupervised dimension reduction

F Nie, D Xu, IWH Tsang, C Zhang - IEEE Transactions on Image …, 2010 - ieeexplore.ieee.org
We propose a unified manifold learning framework for semi-supervised and unsupervised
dimension reduction by employing a simple but effective linear regression function to map …

M-Isomap: Orthogonal constrained marginal isomap for nonlinear dimensionality reduction

Z Zhang, TWS Chow, M Zhao - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Isomap is a well-known nonlinear dimensionality reduction (DR) method, aiming at
preserving geodesic distances of all similarity pairs for delivering highly nonlinear manifolds …

Discriminative low-rank preserving projection for dimensionality reduction

Z Liu, J Wang, G Liu, L Zhang - Applied soft computing, 2019 - Elsevier
As an effective image clustering tool, low-rank representation (LRR) can capture the intrinsic
representation of the observed samples. However, firstly, the good representation does not …

Robust dimensionality reduction via low-rank Laplacian graph learning

M Cai, X Shen, SE Abhadiomhen, Y Cai… - ACM Transactions on …, 2023 - dl.acm.org
Manifold learning is a widely used technique for dimensionality reduction as it can reveal the
intrinsic geometric structure of data. However, its performance decreases drastically when …