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Single-cell foundation models
Single-cell

STACK

Arc Institute / Stanford University

Single-cell foundation model using tabular attention over context cells to predict responses to arbitrary perturbations without fine-tuning.

Released: January 2026

STACK is a single-cell foundation model from Stanford University that reframes how transcriptomic representations are learned by attending across context cells rather than treating each cell in isolation. Most single-cell foundation models embed a cell purely from its own expression vector; STACK instead uses tabular attention to let a target cell's representation be informed by a surrounding set of reference cells, mirroring how in-context learning works in large language models. Released as a bioRxiv preprint in January 2026, it was trained on 149 million uniformly preprocessed human single cells.

The central problem STACK addresses is the brittleness of perturbation modeling. Predicting how a cell responds to a chemical compound, a genetic edit, or a donor background usually requires task-specific fine-tuning on labeled response data. STACK performs these predictions in context — conditioning on a few example cells at inference time — so that arbitrary, previously unseen perturbations can be handled without updating model weights. The authors report that this zero-shot, in-context behavior matches or exceeds baselines that were explicitly fine-tuned for the task.

Beyond the model itself, STACK was used to construct Perturb Sapiens, described as the first human whole-organism perturbed cell atlas, spanning 28 tissues, 40 cell classes, and 201 perturbations, with predictions checked against in-vitro experiments.

#Key Features

  • Context-aware representations: Tabular attention conditions each cell's embedding on a set of context cells, producing representations that reflect local biological neighborhood rather than a single expression vector.
  • In-context perturbation prediction: Arbitrary perturbations — chemical, genetic, or donor-level — are predicted from a handful of example cells at inference time, with no fine-tuning required.
  • Zero-shot competitiveness: Reported zero-shot results match or surpass baselines that were fine-tuned specifically for the target task.
  • Whole-organism perturbation atlas: Powered the Perturb Sapiens atlas of 28 tissues, 40 cell classes, and 201 perturbations, with in-vitro validation.

#Technical Details

STACK is a transformer-based foundation model trained self-supervised on 149 million human single cells that were uniformly preprocessed to reduce platform and pipeline heterogeneity. Its defining architectural choice is tabular attention over context cells: rather than embedding a cell from its own features alone, the model attends across a tabular set of cells so that representations and downstream predictions are informed by neighboring observations. This design is what enables in-context learning, allowing the model to generalize to perturbation types absent from its training objective without parameter updates. The authors benchmark zero-shot performance against fine-tuned baselines and report comparable or superior results, and demonstrate the approach at scale by generating the Perturb Sapiens atlas (28 tissues, 40 cell classes, 201 perturbations) with in-vitro experimental confirmation.

#Applications

STACK is aimed at computational biologists and experimentalists who need to anticipate cellular responses to interventions without running — or before running — costly screens. Because perturbation effects are predicted in context from a few examples, researchers can explore chemical and genetic perturbation hypotheses across many cell types and tissues, prioritize candidates for validation, and build perturbation atlases such as Perturb Sapiens. The context-aware embeddings are also broadly useful for standard single-cell tasks like cell-type representation and integration across the uniformly preprocessed corpus the model was trained on.

#Impact

STACK contributes a distinct architectural direction to the single-cell foundation model landscape: in-context learning via attention over reference cells, transferred from the language-model paradigm to tabular transcriptomics. Its construction of Perturb Sapiens, positioned as the first human whole-organism perturbed cell atlas with in-vitro support, is a notable demonstration of generative perturbation modeling at organism scale. The work shares an author (Yusuf Roohani) with GEARS, a separate graph-based perturbation-prediction model already cataloged on bio.rodeo, though STACK is a distinct model. Code is released by the Arc Institute (ArcInstitute/stack) and model weights are available on Hugging Face (arcinstitute/Stack-Large), though both carry non-commercial terms (code under CC BY-NC-SA, weights under a custom Arc non-commercial license) that constrain commercial reuse and redistribution.

Citation

Stack: In-Context Learning of Single-Cell Biology

Dong, M., et al. (2026) Stack: In-Context Learning of Single-Cell Biology. bioRxiv.

DOI: 10.64898/2026.01.09.698608

Recent citations

Papers that recently cited this model.

  • Tabular Foundation Models Are Competitive Cellular Perturbation Predictors Across Biological Scales

    G. Palla, Alexander Hillsley, Yang-Joon Kim, et al.

    bioRxiv · Jul 2026

    0Influential
  • VCBench: A Multi-Dimensional Benchmark for Single-Cell Foundation Models

    L. Weidener, M. Brkić, M. Jovanović, et al.

    bioRxiv · Jun 2026

    0
  • Elucidating the Design Space of Generative Models for Single-Cell Perturbation Prediction

    S. Bhattacharya, Christian Gensbigler, Shaamil Karim, et al.

    bioRxiv · Jun 2026

    0

Top citations

The most-cited papers that cite this model.

  • Virtual Cells Need Context, Not Just Scale

    Payam Dibaeinia, Sudarshan Babu, Mei Knudson, et al.

    bioRxiv · Feb 2026

    3
  • STRAND: Sequence-Conditioned Transport for Single-Cell Perturbations

    Bo Fu, George Dasoulas, Sameer Gabbita, et al.

    arXiv.org · Feb 2026

    2Influential
  • MapPFN: Learning Causal Perturbation Maps in Context

    Marvin Sextro, Weronika Kłos, G. Dernbach

    arXiv.org · Jan 2026

    1
  • Elucidating the Design Space of Generative Models for Single-Cell Perturbation Prediction

    S. Bhattacharya, Christian Gensbigler, Shaamil Karim, et al.

    bioRxiv · Jun 2026

    0
  • VCBench: A Multi-Dimensional Benchmark for Single-Cell Foundation Models

    L. Weidener, M. Brkić, M. Jovanović, et al.

    bioRxiv · Jun 2026

    0

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  • STATE

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  • Atacformer

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  • AIDO.Cell

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    Single-cell RNA-seq foundation model pretrained on 50 million human cells, encoding the full transcriptome for annotation and perturbation modeling.

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  • CancerSTFormer

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Citations

Total Citations11
Influential2
References58

GitHub

Stars142
Forks17
Open Issues1
Contributors3
Last Push2mo ago
LanguageJupyter Notebook

HuggingFace

Downloads0
Likes8
Last Modified1mo ago

Fields of citing research

  • Computer Science100%
  • Biology91%
  • Medicine45%
  • Engineering9%
  • Physics9%

Share of papers citing this model.

Openness

bio.rodeo opennessClosed · low usability and reproducibility
33Closed
Usability — can I run it?21
Reproducibility — can I retrain it?28
Model Openness Framework
Unclassified
Restrictive license on core components

Tags

foundation_modelin_context_learningperturbation_predictionself_supervisedsingle_cell_transcriptomicstransformerzero_shot

Resources

GitHub RepositoryResearch PaperHuggingFace Model