Geometry-aware generative autoencoders for warped riemannian metric learning and generative modeling on data manifolds

X Sun, D Liao, K MacDonald, Y Zhang, C Liu… - arxiv preprint arxiv …, 2024 - arxiv.org
Rapid growth of high-dimensional datasets in fields such as single-cell RNA sequencing
and spatial genomics has led to unprecedented opportunities for scientific discovery, but it …

Diffusive topology preserving manifold distances for single-cell data analysis

J Wei, B Zhang, Q Wang, T Zhou, T Tian… - Proceedings of the …, 2025 - pnas.org
Manifold learning techniques have emerged as crucial tools for uncovering latent patterns in
high-dimensional single-cell data. However, most existing dimensionality reduction methods …

Harnessing population diversity: in search of tools of the trade

D Bzdok, G Wolf, J Kopal - GigaScience, 2024 - academic.oup.com
Big neuroscience datasets are not big small datasets when it comes to quantitative data
analysis. Neuroscience has now witnessed the advent of many population cohort studies …

Graph topological property recovery with heat and wave dynamics-based features on graphsd

D Bhaskar, Y Zhang, C Xu, X Sun, O Fasina… - arxiv preprint arxiv …, 2023 - arxiv.org
In this paper, we propose Graph Differential Equation Network (GDeNet), an approach that
harnesses the expressive power of solutions to PDEs on a graph to obtain continuous node …

[HTML][HTML] Cell-to-cell distance that combines gene expression and gene embeddings

F Guo, D Gan, J Li - Computational and Structural Biotechnology Journal, 2024 - Elsevier
The application of large-language models (LLMs) to single-cell gene-expression data has
introduced a new type of data that includes a gene-embedding matrix, in addition to the …

Hypergraph Representations of scRNA-seq Data for Improved Clustering with Random Walks

W He, DI Bolnick, SV Scarpino… - arxiv preprint arxiv …, 2025 - arxiv.org
Analysis of single-cell RNA sequencing data is often conducted through network projections
such as coexpression networks, primarily due to the abundant availability of network …

MS-IMAP--A Multi-Scale Graph Embedding Approach for Interpretable Manifold Learning

S Deutsch, L Yelibi, AT Lin, AR Kannan - arxiv preprint arxiv:2406.02778, 2024 - arxiv.org
Deriving meaningful representations from complex, high-dimensional data in unsupervised
settings is crucial across diverse machine learning applications. This paper introduces a …

Accuracy Improvements for Convolutional and Differential Distance Function Approximations

A Belyaev, PA Fayolle - arxiv preprint arxiv:2412.09200, 2024 - arxiv.org
Given a bounded domain, we deal with the problem of estimating the distance function from
the internal points of the domain to the boundary of the domain. Convolutional and …

SVAD: Stacked Variational Autoencoder Deep Neural Network-Based Dimensionality Reduction and classification of Small Sample Size and High Dimensional Data

N Srivastava, DK Tayal - SN Computer Science, 2024 - Springer
The “curse of dimensionality” is a major concern in the field of computational biology,
especially when there are many fewer samples then to the number of features. Many …