Haisu: Hierarchically supervised nonlinear dimensionality reduction. [PDF]
We propose a novel strategy for incorporating hierarchical supervised label information into nonlinear dimensionality reduction techniques. Specifically, we extend t-SNE, UMAP, and PHATE to include known or predicted class labels and demonstrate the ...
Kevin Christopher VanHorn +1 more
doaj +5 more sources
Nonlinear dimensionality reduction in climate data [PDF]
Linear methods of dimensionality reduction are useful tools for handling and interpreting high dimensional data. However, the cumulative variance explained by each of the subspaces in which the data space is decomposed may show a slow convergence that ...
A. J. Gámez +3 more
doaj +11 more sources
A biological model of nonlinear dimensionality reduction. [PDF]
AbstractObtaining appropriate low-dimensional representations from high-dimensional sensory inputs in an unsupervised manner is essential for straightforward downstream processing. Although nonlinear dimensionality reduction methods such as t-distributed stochastic neighbor embedding (t-SNE) have been developed, their implementation in simple ...
Yoshida K, Toyoizumi T.
europepmc +3 more sources
Artifacts in Simultaneous hdEEG/fMRI Imaging: A Nonlinear Dimensionality Reduction Approach [PDF]
Simultaneous recordings of electroencephalogram (EEG) and functional magnetic resonance imaging (fMRI) are at the forefront of technologies of interest to physicians and scientists because they combine the benefits of both modalities—better time ...
Marek Piorecky +4 more
doaj +2 more sources
Efficient and reliable spike sorting from neural recordings with UMAP-based unsupervised nonlinear dimensionality reduction. [PDF]
Spike sorting is one of the cornerstones of extracellular electrophysiology. By leveraging advanced signal processing and data analysis techniques, spike sorting makes it possible to detect, isolate, and map single neuron spiking activity from both in ...
Daniel Suárez-Barrera +11 more
doaj +2 more sources
Detecting Adversarial Examples through Nonlinear Dimensionality Reduction [PDF]
Deep neural networks are vulnerable to adversarial examples, i.e., carefully-perturbed inputs aimed to mislead classification. This work proposes a detection method based on combining non-linear dimensionality reduction and density estimation techniques.
Bacciu, Davide +2 more
core +5 more sources
Nonlinear Supervised Dimensionality Reduction via Smooth Regular Embeddings [PDF]
The recovery of the intrinsic geometric structures of data collections is an important problem in data analysis. Supervised extensions of several manifold learning approaches have been proposed in the recent years.
Ornek, Cem, Vural, Elif
core +2 more sources
Research on a multivariate measurement system for polyethylene gas pipelines utilizing a variable weight UMAP model [PDF]
In producing gas-polyethylene pipelines, the five major quality indicators—wall thickness, inner diameter, outer diameter, concentricity, and ovality—exhibit complex interactions, making it challenging for traditional methods to comprehensively evaluate ...
Chenjia Zong +5 more
doaj +2 more sources
Nonlinear dimensionality reduction for clustering [PDF]
Abstract We introduce an approach to divisive hierarchical clustering that is capable of identifying clusters in nonlinear manifolds. This approach uses the isometric mapping (Isomap) to recursively embed (subsets of) the data in one dimension, and then performs a binary partition designed to avoid the splitting of clusters.
Sotiris Tasoulis +2 more
openaire +2 more sources
Dimensionality reduction of images with high-dimensional nonlinear structure is the key to improving the recognition rate. Although some traditional algorithms have achieved some results in the process of dimensionality reduction, they also expose their ...
Yongbin Liu, Jingjie Wang, Wei Bai
doaj +1 more source

