Modeling Temporal scRNA-seq Data with Latent Gaussian Process and Optimal Transport

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Main Authors: Balik, Mehmet Yigit, Lähdesmäki, Harri
Format: Preprint
Published: 2026
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author Balik, Mehmet Yigit
Lähdesmäki, Harri
author_facet Balik, Mehmet Yigit
Lähdesmäki, Harri
contents Single-cell RNA sequencing provides insights into gene expression at single-cell resolution, yet inferring temporal processes from these static snapshot measurements remains a fundamental challenge. Current approaches utilizing neural differential equations and flows are sensitive to overfitting and lack careful considerations of biological variability. In this work, we propose a generative framework that models population trends using a latent heteroscedastic Gaussian process (GP) approximated by Hilbert space methods. To address the absence of genuine cell trajectories, we leverage an optimal transport (OT) objective that aligns generated and observed population distributions. Our method explicitly captures biological heterogeneity by incorporating cell-specific latent time and cell type conditioning to disentangle temporal asynchrony and trajectories to different cell types. We demonstrate state-of-the-art performance on complex interpolation and extrapolation benchmarks and introduce a novel gradient-based strategy for inferring perturbation trajectories.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20989
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Modeling Temporal scRNA-seq Data with Latent Gaussian Process and Optimal Transport
Balik, Mehmet Yigit
Lähdesmäki, Harri
Machine Learning
Genomics
Single-cell RNA sequencing provides insights into gene expression at single-cell resolution, yet inferring temporal processes from these static snapshot measurements remains a fundamental challenge. Current approaches utilizing neural differential equations and flows are sensitive to overfitting and lack careful considerations of biological variability. In this work, we propose a generative framework that models population trends using a latent heteroscedastic Gaussian process (GP) approximated by Hilbert space methods. To address the absence of genuine cell trajectories, we leverage an optimal transport (OT) objective that aligns generated and observed population distributions. Our method explicitly captures biological heterogeneity by incorporating cell-specific latent time and cell type conditioning to disentangle temporal asynchrony and trajectories to different cell types. We demonstrate state-of-the-art performance on complex interpolation and extrapolation benchmarks and introduce a novel gradient-based strategy for inferring perturbation trajectories.
title Modeling Temporal scRNA-seq Data with Latent Gaussian Process and Optimal Transport
topic Machine Learning
Genomics
url https://arxiv.org/abs/2605.20989