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SUICA: Learning Super-high Dimensional Sparse Implicit Neural Representations for Spatial Transcriptomics
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Proposes SUICA, an implicit neural representation pipeline that maps spatial coordinates to graph-autoencoder embeddings and decodes to super-high-dimensional sparse spatial transcriptomics profiles, trained with MSE, L1 and a Dice loss.
Problem
Modeling spatial transcriptomics data, which is spatially irregular, extremely high-dimensional (over 20,000 genes), and zero-inflated, in a continuous and compact way for spatial imputation, gene imputation and denoising.
Approach
Pre-train a GCN-encoder graph autoencoder to compress gene expression into a low-dimensional embedding, fit an INR (FFN or SIREN) from coordinates to these embeddings, then freeze the INR and fine-tune the decoder with a combined MSE/L1/Dice loss to recover sparsity and non-zero fidelity.
Key results
- On MOSTA spatial imputation, SUICA reaches MSE 0.85 (x1e-2) and cosine 0.797 vs. 1.11 and 0.732 for the next best (STAGE), and ARI 0.343 vs. 0.289 (SIREN).
- On MOSTA gene imputation and denoising, SUICA achieves the best MAE, MSE, Pearson and Spearman in denoising (MSE 0.934 vs 1.66 for STAGE).
- Ablation on Embryo E16.5 shows MSE falls from 2.35 (vanilla INR) to 1.47 (with AE, Dice and graph), and on Visium human brain from 9.33 to 5.67 (x1e-3).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SUICA instead of the strongest listed baseline | Spatial imputation · Stereo-seq MOSTA | MAE: 6.51 -> 5.66 | Helped |
| Use SUICA instead of STAGE | Spatial imputation · Mouse hippocampus Slide-seqV2 | Cosine: 0.587 -> 0.752 | Helped |
| Use SUICA instead of STAGE | Gene imputation · MOSTA | Spearman: 0.264 -> 0.317 | Helped |
| Use SUICA instead of STAGE | Denoising · MOSTA | MAE: 7.60 -> 6.03 | Helped |
| Use SUICA instead of TRIPLEX | Spatial imputation · Visium-Human Brain | MAE: 4.75 -> 4.99 | Hurt |
| Use SUICA instead of STAGE | Spatial imputation · Visium-Mouse Brain | ARI: 0.140 -> 0.393 | Helped |
| Use SUICA instead of STAGE | Spatial imputation · MERFISH human heart | MAE: 5.48 -> 4.65 | Helped |
| Add AE to Vanilla INR (ablation) | SUICA design · Embryo E16.5 | MSE: 2.35 -> 1.60 | Helped |
| Add AE to Vanilla INR (ablation) | SUICA design · Visium Human Brain | MSE: 9.33 -> 11.27 | Hurt |
| Add Dice loss to the AE variant (ablation) | SUICA design · Embryo E16.5 | MSE: 1.60 -> 1.48 | Helped |
| Add Dice loss to the AE variant (ablation) | SUICA design · Visium Human Brain | MSE: 11.27 -> 7.05 | Helped |
| Add graph module to the AE + Dice variant (ablation) | SUICA design · Visium Human Brain | MSE: 7.05 -> 5.67 | Helped |
Surprising findings
- Adding the autoencoder alone worsened performance on the sparse Visium human brain data (MSE 9.33 to 11.27), with gains only after adding Dice loss and graph context.
- Replacing the learned GAE with PCA lost the sparsity pattern entirely (IoU of zero maps dropped to 0), while SUICA maintained IoU around 0.9.
Limitations
- Case-by-case training: a new model must be trained from scratch for each ST slice, as in NeRF.
- Performance gains depend on high-quality data (spatial density and sequencing depth); on MERFISH with only 238 genes SUICA degenerates to a vanilla INR-like performance.
- Compared with histology-aided methods, TRIPLEX was reported as sensitive to dataset characteristics, and the paper lacks ablation over several INR backbones beyond FFN and SIREN.
Experimental setup
Datasets: MOSTA Stereo-seq Slide-seqV2 mouse hippocampus Visium human brain Visium mouse brain MERFISH human heart
Benchmarks: MOSTA Stereo-seq Slide-seqV2 mouse hippocampus Visium human brain Visium mouse brain MERFISH human heart
Metrics: MAE MSE cosine similarity Pearson correlation Spearman correlation ARI
Baselines: FFN SIREN STAGE TRIPLEX UNI v2 NGP
Builds on: SIREN FFN (Random Fourier Features) Dice loss graph convolutional network STAGE
Closest papers by meaning
- STINR: Deciphering Spatial Transcriptomics via Implicit Neural Representation (CVPR 2025 · similarity 0.90)
- Multi-View Hierarchical Alignment Learning for Spatial Transcriptomics (CVPR 2026 · similarity 0.88)
- Global Context-aware Representation Learning for Spatially Resolved Transcriptomics (ICML 2025 · similarity 0.87)
- Preserving DEG Rankings for Gene Discovery in Histology-Based Spatial Gene Expression Prediction (NeurIPS 2026 · similarity 0.86)
- Diffusion Generative Modeling for Spatially Resolved Gene Expression Inference from Histology Images (ICLR 2025 · similarity 0.86)
- SToFM: a Multi-scale Foundation Model for Spatial Transcriptomics (ICML 2025 · similarity 0.86)
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