# S3RL: Enhancing Spatial Single‐Cell Transcriptomics With Separable Representation Learning

**Authors:** Laiyi Fu, Penglei Wang, Gaoyuan Xu, Jitao Lu, Qinke Peng, Danyang Wu, Hequan Sun

PMC · DOI: 10.1002/advs.202516178 · Advanced Science · 2026-01-20

## TL;DR

S3RL improves spatial transcriptomics by reducing noise and enhancing the accuracy of gene expression patterns in tissues.

## Contribution

S3RL introduces a novel separable representation learning framework for spatial transcriptomics data.

## Key findings

- S3RL improves spatial domain identification and multi-slice alignment with up to 170% ARI improvement.
- S3RL uncovers new ligand–receptor signaling and spatial gene expression gradients in immune-tumor and plant tissues.

## Abstract

Spatial transcriptomics enables in situ mapping of gene expression, offering insights into tissue organization and cell–cell interactions. However, its utility is limited by data sparsity and technical noise for decoding complex tissue microenvironments. Here, we introduce S3RL, a separable representation learning framework designed to enhance the fidelity of raw spatial transcriptomic data. By effectively denoising sparse measurements and amplifying biologically relevant signals, S3RL enables the recovery of fine‐grained spatial expression patterns and regulatory relationships that are otherwise lost. Applied across diverse human, mouse and plant tissues, S3RL not only achieved improved accuracy in spatial domain identification and multi‐slice alignment (up to 170% ARI improvement), but also uncovered previously unrecognized ligand–receptor signaling and spatial gene expression gradients that are critical for understanding immune‐tumor crosstalk and plant developmental trajectories. These results establish S3RL as a powerful tool for extracting latent biological programs from noisy spatial transcriptomic datasets, paving the way for deeper exploration of tissue biology and disease mechanisms.

Separable Spatial Representation Learning (S3RL) is introduced to enhance the reconstruction of spatial transcriptomic landscapes by disentangling spatial structure and gene expression semantics. By integrating multimodal inputs with graph‐based representation learning and hyperspherical prototype modeling, S3RL enables high‐fidelity spatial domain recovery and improves downstream analyses, including expression enhancement, spatial alignment, and trajectory inference.

## Linked entities

- **Species:** Homo sapiens (taxon 9606), Mus musculus (taxon 10090)

## Full-text entities

- **Diseases:** tumor (MESH:D009369)
- **Species:** Mus musculus (house mouse, species) [taxon 10090], Homo sapiens (human, species) [taxon 9606]

## Full text

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## Figures

9 figures with captions in the complete paper: https://tomesphere.com/paper/PMC13042551/full.md

## References

81 references — full list in the complete paper: https://tomesphere.com/paper/PMC13042551/full.md

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Source: https://tomesphere.com/paper/PMC13042551