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REVIEW 4 major objections 4 minor 1 cited by

SToFM: a Multi-scale Foundation Model for Spatial Transcriptomics

T0 review · 4 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

Pith's one-line read SToFM claims a multi-scale spatial transcriptomics representation that fuses gene expression, local cell-cell interactions, and tissue morphology, and reports 11.6–14.34% F1 gains over the best baselines in cross-slice tasks.

desk verdict A serious multi-scale ST foundation model with a large new corpus, but the headline gains rest on a train/test split the paper does not yet let anyone verify; worth peer review. read the letter →

arxiv 2507.11588 v2 pith:F3V2EGEI submitted 2025-07-15 q-bio.GN cs.AIcs.LG

classification q-bio.GNcs.AIcs.LG
keywords spatialtranscriptomicsfoundationmodelmulti-scalerepresentationlearningSE(2)Transformervirtualcellscelltypeannotationtissuesemanticsegmentationpretrainingcorpus
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

SToFM is a pretrained model for spatial transcriptomics whose central claim is that cell representations should integrate three scales at once: each cell's gene expression, its local neighborhood of nearby cells, and the global tissue region it sits in. The paper argues that existing single-cell and spatial foundation models capture at most expression plus coordinates, and that missing macro- and micro-scale structure is why they transfer poorly across slices and technologies. To test this, the authors pretrain on SToCorpus-88M, roughly 88 million cells from about 2,000 high-resolution slices spanning six sequencing platforms, and then evaluate on tissue-region segmentation, cell type annotation, clustering, deconvolution, and imputation. SToFM reports the best results on all of these tasks, with the largest margins in cross-slice transfer: 11.6% higher macro F1 than the best baseline on cross-slice tissue-region segmentation and 14.34% higher macro F1 on cell type annotation. If the results hold, the model would provide biologists with a single pretrained representation that follows consistent cell-type and tissue-region semantics across different experiments and technologies.

What carries the argument

The load-bearing mechanism is the virtual-cell sub-slice: a tissue slice is divided by spatial location into sub-slices of roughly 1,000 cells, while Leiden clustering over a blend of cell embeddings and positions produces cluster centroids, called virtual cells, that are inserted into every sub-slice. Each virtual cell's embedding and position are the averages of its cluster, so a few dozen virtual cells summarize the slice's morphology and functional zones. The SE(2) Transformer then takes the real and virtual cells of a sub-slice, converts pairwise Euclidean distances into attention bias through a Gaussian module, and is pretrained with masked cell modeling and pairwise distance recovery. This design makes the cell representations invariant to 2D translation and rotation while letting local cell-cell interactions and global tissue structure jointly shape each cell's embedding.

What would settle it

Compare the released SToCorpus-88M against the exact downstream test slices—CS12-13E2S4 for EmbryoCross, DLPFC slice 151673, the two mouse-brain annotation slices, liver slices D17_FR4 and D0_DY2, and skin Sample1—and check whether any of their cells appear in the pretraining corpus; if they do, the cross-slice improvements would be explained by pretraining on the test data.

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Extended reading notes

Core claim

The paper's discovery is that a spatial transcriptomics foundation model can learn transferable cell representations by compressing each tissue slice into sub-slices that carry gene-scale embeddings, micro-scale local neighborhoods, and macro-scale virtual cells, and then training an SE(2) Transformer on those sub-slices. The macro-scale is encoded by clustering all cells in a slice and inserting each cluster's averaged embedding and position as a virtual cell into every sub-slice, so the model can perceive global tissue morphology while attending to a local group of about 1,000 cells. The gene scale comes from a cell encoder that is first adapted to spatial transcriptomics data; the micro scale comes from transformer layers whose attention is biased by pairwise distances. Pretraining uses two objectives: masked cell modeling, which reconstructs randomly masked cell embeddings from surrounding context, and pairwise distance recovery, which removes Gaussian noise added to cell coordinates. The result is a representation that the paper shows transfers across slices and technologies, outperforming the best baselines in cross-slice semantic segmentation, cell type annotation, clustering, deconvolution, and imputation.

Load-bearing premise

The load-bearing premise is that the slices used in downstream evaluation were actually removed from SToCorpus-88M before pretraining; the paper states this removal but provides no auditable list, so if any evaluated slice leaked into the corpus, the reported transfer gains could come from memorizing test data rather than from multi-scale representation learning.

Editorial extensions

If this is right

  • A classification head trained on some slices can label a held-out slice from the same tissue, and SToFM's advantage over baselines is largest in this cross-slice setting, indicating that the representations carry slice-invariant tissue structure.
  • The model transfers to a sequencing technology absent from pretraining: on 10x Visium DLPFC data, SToFM outperforms baselines that had also never seen Visium, suggesting adaptation to new platforms.
  • The same pretrained embeddings support regression tasks beyond classification, with gains in cross-slice deconvolution and imputation.
  • Scaling the pretraining corpus from 12.5% to 100% of SToCorpus-88M improves downstream F1 in the paper's ablations, tying transferability to corpus scale.
  • Removing any one of the three scales—domain-adapted gene embeddings, micro-scale sub-slice interactions, or macro-scale virtual cells—degrades performance, supporting the multi-scale design over single-scale alternatives.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the corpus-exclusion check passes, the virtual-cell approach is a general recipe for very large 2D point clouds: global context can be injected as a handful of averaged prototypes instead of global attention, which should extend to spatial proteomics, spatial chromatin accessibility, or large histopathology image patch graphs.
  • A sharper test of multi-scale necessity would be a same-size comparison: hold the cell encoder and pretraining budget fixed and compare SToFM against an equally large architecture that only sees expression plus raw coordinates; the paper's ablations approximate this but do not match parameter counts across baselines.
  • Because all main evaluations come from tissues and technologies present in the corpus except Visium, a natural next experiment is to hold out an entire technology and tissue type and measure the drop in cross-technology transfer.
  • If the released corpus keeps slice identifiers, one could test how strongly macro-scale information drives transfer by varying the Leiden clustering resolution across many tissues and correlating downstream F1 with the number of virtual cells.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 4 minor

Summary. The paper proposes SToFM, a multi-scale foundation model for spatial transcriptomics that integrates gene-scale expression embeddings (via a domain-adapted Geneformer encoder), micro-scale spatial context (via an SE(2) Transformer operating on sub-slices of roughly 1,000 cells), and macro-scale tissue structure (via Leiden-derived virtual cells injected into each sub-slice). The model is pretrained with two self-supervised objectives, masked cell modeling and pairwise distance recovery, on a new corpus called SToCorpus-88M containing about 88 million cells from six spatial technologies. The authors report consistent gains over Geneformer, scGPT, Nicheformer, and CellPLM across tissue-region segmentation, cell-type annotation, zero-shot clustering, deconvolution, and imputation, with headline improvements of 11.6% macro-F1 on cross-slice embryo segmentation and 14.34% macro-F1 on cell-type annotation. The paper also includes ablations supporting the contribution of domain adaptation, virtual cells, the micro-scale encoder, and the spatial distance matrix, plus additional experiments on full-parameter tuning, data volume, and hyperparameter sensitivity.

Significance. If the empirical claims hold, this is a substantial step for spatial transcriptomics foundation models: it is, to my knowledge, the first ST foundation model that explicitly represents macro-scale tissue morphology through virtual cells while jointly modeling micro-scale cell-cell interactions and gene-scale expression, and SToCorpus-88M would be the largest public high-resolution ST pretraining corpus to date. The self-supervised objectives are natural and the evaluation spans several practically important tasks. The paper also provides useful ablation evidence and promises code and data release, which strengthens reproducibility if the release is complete. The principal limitation is that the headline comparison rests on an unverifiable train/test separation between SToCorpus-88M and the downstream validation slices, and on hyperparameter choices made using the same downstream tasks that are later reported as the main results. These issues are fixable with additional disclosure and validation, but they currently prevent me from treating the quantitative claims as established.

major comments (4)
  1. [§4.1, Appendix D.2] The separation between SToCorpus-88M and the downstream evaluation slices is asserted but not auditable. Section 4.1 states that pretraining is performed after removing data used for downstream tasks, and Appendix D.2 repeats that individual downstream slices are excluded, but no slice-level manifest, overlap check, or removal script is provided. This is a material risk because the downstream datasets are drawn from the same public repositories used to construct the corpus (notably STOmicsDB STDS0000139 and STDS0000239, HESTA, SODB, Vizgen, 10x Xenium, and a non-public SeekSpace slice). A single overlapping slice could plausibly account for a large part of the reported F1 gains in the abstract and Section 4. Please release the full corpus manifest with unique slice identifiers, the exclusion lists for all downstream evaluation slices, the deduplication procedure, and any coordinate- or identifier-based overlap checks.
  2. [Appendix B.2, Tables A.2, A.6, A.7] Several central hyperparameters were selected on the same downstream tasks used to report the headline results. The sub-slice scale and Leiden resolution (Table A.2), the mixing weight α in Algorithm 1 (Table A.6), and the loss ratio γ (Table A.7) are all evaluated on Embryo2 and EmbryoCross macro-F1, and the same tasks appear in the main results (Tables 1 and 5) and in the abstract's headline gain. This selective reporting risks inflating SToFM's apparent advantage over baselines whose hyperparameters were not similarly tuned on the evaluation tasks. Please either freeze all method hyperparameters before inspecting downstream labels, or report a nested validation procedure (for example, tuning on a hold-out subset and testing on a disjoint subset with rotations), or provide a sensitivity analysis showing that every reasonable hyperparameter choice preserves the reported comparative conclusions.
  3. [Appendix C.2, Tables 1–5] The main quantitative claims are reported without any measure of variability, although Appendix C.2 says that tasks with inherent randomness were run three times and averaged. Tables 1–5 contain only point estimates, with no standard deviations, confidence intervals, or significance tests. This matters because several comparisons are small in magnitude or slice-specific: for example, DLPFC4 macro-F1 is 0.6274 for SToFM versus 0.5918 for CellPLM (Table 1), and the LiverCross MAE difference is 0.0430 versus 0.0441 (Table 3). Please report the three individual runs or summary statistics, and state explicitly whether each reported improvement is consistent across all runs.
  4. [§4.1, Tables 1–4] The baseline comparison conflates architecture with pretraining data scale and domain adaptation. Geneformer, scGPT, Nicheformer, and CellPLM are used as released, with no continual pretraining on SToCorpus-88M, while SToFM combines Geneformer initialization, an additional domain-adaptation phase, and multi-scale pretraining on 88 million cells. The observed gains could therefore be due partly to the larger and task-aligned pretraining corpus rather than to the proposed multi-scale architecture itself. Please either continue-pretrain the baseline models on the same SToCorpus-88M data under the same exclusion rules, or explicitly discuss this confound and provide an additional controlled comparison where all models share the same cell-encoder initialization and pretraining data.
minor comments (4)
  1. [Title page] The affiliation for Tsinghua University contains the typo 'Tecnology' and should read 'Technology'.
  2. [Table A.7] The caption of Table A.7 says 'Ablation study of α in Algorithm 1', but the table actually varies the loss ratio γ; the caption should be corrected to avoid confusion with Table A.6.
  3. [Section 3.3] The MCM and PDR loss equations write the squared L2 norm inside an outer square, which makes the effective exponent ambiguous; please use a single consistent notation for the squared-loss objective.
  4. [Appendix D.2] The SeekSpace slice used for cell-type annotation is described as non-public, while the paper states that SToCorpus-88M and code will be released; please state the exact release timeline and conditions for the SeekSpace data, since the cell-type annotation result depends on it.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: SToFM's pretraining objectives are self-supervised and downstream claims are external-benchmark comparisons.

full rationale

The claimed derivation chain is not circular. SToFM is trained on SToCorpus-88M with two self-supervised objectives (masked cell modeling and pairwise distance recovery) that do not use downstream labels: MCM reconstructs masked cell embeddings from unmasked neighbors, and PDR reconstructs an unperturbed distance matrix from noise-augmented coordinates. Neither objective defines the downstream F1 metric in terms of a fitted parameter. Downstream tasks (embryo/DLPFC segmentation, cell-type annotation, clustering, deconvolution, imputation) are evaluated against external baselines (Geneformer, scGPT, Nicheformer, CellPLM) on datasets external to pretraining, and the paper states that downstream slices were removed before pretraining. The same-author citations (e.g., Zhao et al. for a contrastive objective) are not load-bearing: they suggest a training component but do not constitute a uniqueness theorem or forced choice. The main verifiability risk is that the removal of downstream slices from SToCorpus-88M is asserted without a public manifest; that is a data-leakage and auditability concern, not a circularity step, because it would not make the reported result equal to its input by construction. No equation or fitted quantity in the paper reduces a prediction to the target it claims to predict.

Assumptions & free parameters 8 free parameters · 5 assumptions · 1 invented entities

The central claim rests on a standard Transformer architecture with distance-based attention, a domain-adapted Geneformer encoder, and a large pretraining corpus. The model's design introduces several free hyperparameters, several of which were selected using the same downstream benchmarks that define the main results. Virtual cells are the only genuinely new entity, and they lack independent evidence beyond the paper's own ablations.

free parameters (8)
  • Leiden clustering resolution = 1.0
    Selected via ablation on the downstream tasks Embryo2 and EmbryoCross (Table A.2); the final value is optimal on the very benchmarks reported in Table 1.
  • alpha (α) in Algorithm 1 = 0.8
    Selected via ablation on Embryo2 and EmbryoCross (Table A.6), i.e., tuned on the reported benchmarks.
  • Sub-slice scale (cells per sub-slice) = 1000
    Chosen via ablation (Table A.2) as the best trade-off between computational cost and performance.
  • Sample number for second-time cell encoding = 12
    Set to the Geneformer training batch size; robustness tested on 1/8 of the corpus (Table A.4).
  • Loss ratio gamma (γ) = 0.5
    Chosen from ablation on 1/8 of the corpus (Table A.7); 1:1 ratio, no evidence of strong sensitivity.
  • MCM masking ratio = 0.10
    Fixed in Section 3.3; no ablation reported.
  • PDR perturbation ratio = 0.10
    Fixed in Section 3.3; no ablation reported.
  • PCA dimension for clustering input = 2
    Algorithm 1 reduces F to 2D via PCA before combining with positions; fixed choice.
assumptions (5)
  • domain assumption A spatial transcriptomics slice can be represented as a 2D point cloud with a gene expression vector per point.
    Section 3.1 defines S0 = (E, P); this representation ignores tissue geometry beyond coordinates, cell segmentation errors, and any spatial correlation structure not captured by pairwise distances.
  • domain assumption Geneformer's rank-based tokenization and weights transfer to spatial transcriptomics after one epoch of domain adaptation.
    Section 3.1 and Appendix A.1 assume the scRNA-seq pretrained encoder provides a good initialization for ST gene expression despite dropout zeros and limited gene coverage.
  • ad hoc to paper Leiden clustering on alpha*Normalize(PCA2(F)) + (1-alpha)*Normalize(P) yields clusters that faithfully encode macro-scale tissue structure.
    Algorithm 1 assumes averaged cluster embeddings (virtual cells) are a valid compression of tissue morphology; this is the paper's own design choice, tested only by internal ablations.
  • domain assumption Cell-cell interactions in ST are sufficiently local that sub-slicing into ~1000-cell windows preserves the micro-scale information needed for downstream tasks.
    Section 3.1 uses spatial sub-slices to limit the receptive field; this assumption is supported by a cited reference (Zormpas et al., 2023) but is not directly verified on the benchmarks.
  • domain assumption SE(2) invariance is appropriate for the learned representations; orientation of the tissue slice carries no useful signal.
    Section 3.2 uses only the distance matrix as spatial input to the SE(2) Transformer, discarding absolute coordinates and orientation.
invented entities (1)
  • Virtual cells
    purpose: Aggregate clusters of real cells (by embedding and position averages) to inject macro-scale tissue structure into every sub-slice.
    Virtual cells are an internal construct of SToFM; their utility is supported only by the model's own ablation studies (Table 5, A.2), with no external or measured evidence of their existence or necessity.

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Cite this review

Pith. "Pith review of SToFM: a Multi-scale Foundation Model for Spatial Transcriptomics." pith.science (2026). https://pith.science/paper/F3V2EGEI

@misc{pith2026250711588,
  author       = {Pith},
  title        = {Pith review of: SToFM: a Multi-scale Foundation Model for Spatial Transcriptomics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/F3V2EGEI}},
  note         = {Machine review of arXiv:2507.11588}
}
read the original abstract

Spatial Transcriptomics (ST) technologies provide biologists with rich insights into single-cell biology by preserving spatial context of cells. Building foundational models for ST can significantly enhance the analysis of vast and complex data sources, unlocking new perspectives on the intricacies of biological tissues. However, modeling ST data is inherently challenging due to the need to extract multi-scale information from tissue slices containing vast numbers of cells. This process requires integrating macro-scale tissue morphology, micro-scale cellular microenvironment, and gene-scale gene expression profile. To address this challenge, we propose SToFM, a multi-scale Spatial Transcriptomics Foundation Model. SToFM first performs multi-scale information extraction on each ST slice, to construct a set of ST sub-slices that aggregate macro-, micro- and gene-scale information. Then an SE(2) Transformer is used to obtain high-quality cell representations from the sub-slices. Additionally, we construct \textbf{SToCorpus-88M}, the largest high-resolution spatial transcriptomics corpus for pretraining. SToFM achieves outstanding performance on a variety of downstream tasks, such as tissue region semantic segmentation and cell type annotation, demonstrating its comprehensive understanding of ST data through capturing and integrating multi-scale information.

Figures

Figures reproduced from arXiv: 2507.11588 by the authors.

Figure 1
Figure 1. ST data contain biological information from multiple scales. (a). An example of a visualized ST slice of a mouse brain. (b). A microscopic sub-slice of the brain slice. (c). Gene expression profile of a single cell in the brain slice. cells, providing a digital representation of cells (Ziegenhain et al., 2017). Machine learning approaches have achieved great success in analyzing scRNA-seq data and enhancing the unde… view at source ↗
Figure 2
Figure 2. An overview of SToFM architecture. (a). Multi-scale processing integrates information on macro, micro, and gene scales into sub-slices. At gene scale, we extract the representations of each cell using a cell encoder that has undergone domain adaptation. At micro scale, we divide the ST slice into several sub-slices. At macro scale, we cluster cells based on spatial and gene expression data, construct virtual cells f… view at source ↗
Figure 3
Figure 3. UMAP visualization of cell representations on a mouse brain slice, colored by cell types. ARI and NMI scores were calculated with Leiden clustering results and cell type labels [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    cs.CV 2026-03 conditional novelty 5.0 of 10

    Cropping ST slides into fixed multi-channel gene patches preserves local spatial context, multiplies training samples, and beats spot- and slice-based pretraining on domain detection.

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Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.