Effective gene expression prediction from sequence by integrating long-range interactions
Open accessPublished version of a preprint
Abstract
How noncoding DNA determines gene expression in different cell types is a major unsolved problem, and critical downstream applications in human genetics depend on improved solutions. Here, we report substantially improved gene expression prediction accuracy from DNA sequences through the use of a deep learning architecture, called Enformer, that is able to integrate information from long-range interactions (up to 100 kb away) in the genome. This improvement yielded more accurate variant effect predictions on gene expression for both natural genetic variants and saturation mutagenesis measured by massively parallel reporter assays. Furthermore, Enformer learned to predict enhancer–promoter interactions directly from the DNA sequence competitively with methods that take direct experimental data as input. We expect that these advances will enable more effective fine-mapping of human disease associations and provide a framework to interpret cis -regulatory evolution.
AI snapshot
Written from the paper’s full text.
TL;DR
Enformer is a transformer-based model that predicts gene expression and chromatin states from DNA sequence by integrating long-range interactions up to 100 kb away. It improves expression prediction, enhancer prioritization, and noncoding variant effect prediction over prior sequence-based models such as Basenji2.
Key findings
- Enformer increased mean CAGE gene expression prediction correlation from 0.81 to 0.85 versus Basenji2, closing one-third of the gap to the estimated experimental-level accuracy of 0.94; it outperformed Basenji2 across all four assay types for 5,313 human tracks (paired Wilcoxon P < 10−38).
- Enformer contribution scores prioritized CRISPRi-validated enhancer–gene pairs comparably to or better than the ABC score across distances, despite using only DNA sequence; attention was significantly lower across TAD boundaries and higher at TAD boundaries across 1,500 tested sequences.
- For GTEx eQTLs, Enformer increased maximum SLDP Z-scores for 379 of 648 (59.4%) CAGE datasets, with mean maximum Z-score rising from 6.3 to 6.9; Enformer features improved fine-mapped eQTL classifiers for 47 of 48 tissues, increasing mean auROC from 0.729 to 0.747.
- On CAGI5 saturation mutagenesis MPRA data, lasso regression using Enformer predictions had the best average correlation across loci among seven alternative submissions and exceeded the winning CAGI5 team (P = 0.002, paired one-sided Mann–Whitney U test).
Methods
- Enformer takes 196,608 bp one-hot DNA input and predicts 5,313 human and 1,643 mouse genomic tracks at 128-bp resolution using 7 convolutional blocks, 11 transformer blocks, attention pooling, and relative positional encodings.
- Training used human and mouse genomes with Basenji2 targets and Poisson negative log-likelihood loss: 34,021 human training, 2,213 validation, and 1,937 test sequences; 29,295 mouse training, 2,209 validation, and 2,017 test sequences; the main model trained for 150,000 steps on 64 TPU v3 cores and was fine-tuned on human data for 30,000 steps.
- Downstream evaluations used gradient × input, attention, and in silico mutagenesis for enhancer prioritization; SLDP regression with GTEx eQTL summary statistics; random forest classifiers for fine-mapped GTEx variants; and lasso regression on CAGI5 MPRA training/test sets.
Limitations
- Stated in the paper: Enformer can model and predict only cell types and assays present in the training data and cannot generalize to new cell types or assays; small CRISPR perturbation and MPRA datasets currently limit their use to model evaluation rather than training.
- Stated in the paper: increasing target-track resolution/quality and adding data from additional organisms would likely improve performance.
- Evident from the text: prediction accuracy remains below the estimated experimental-level accuracy (0.85 versus 0.94), and the model operates at 128-bp resolution partly because finer resolution would make quadratic-complexity multi-head attention intractable on available hardware.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
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Cites
Statistics
Claims the paper makes
22 of 27 cited sources checked · 12 supported · 0 flagged · accuracy not yet measured
- Interpretationcitation
Enformer is capable of signed prediction of activating or repressive mutations, unlike most methods.
“unlike most methods25, it is capable of signed prediction of activating or repressive mutations”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [25] Kircher, M., Xiong, C., Martin, B. & Schubach, M. Saturation mutagenesis of twenty disease-associated regulatory elements at single base-pair resolution. Nature 10, 3583 (2019). source
- Findingown data
Enformer substantially outperformed Basenji2 for predicting RNA expression as measured by CAGE at the TSS of human protein-coding genes, with mean correlation increasing from 0.81 to 0.85.
“Enformer substantially outperformed the previous best model, Basenji2, for predicting RNA expression as measured by Cap Analysis Gene Expression10 (CAGE) at the TSS of human protein-coding genes, with the mean correlation increasing from 0.81 to 0.85 (Fig. 1b, left).”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [10] FANTOM Consortium and the RIKEN PMI and CLST (DGT).A promoter-level mammalian expression atlas. Nature 507, 462–470 (2014). source
- Premisecitation
The increase in receptive field from 20 kb to 100 kb greatly expands the number of relevant enhancers seen by the model from 47% to 84%, as estimated from proportions of high-confidence enhancer-gene pairs.
“This increase in the receptive field is important because it greatly expands the number of relevant enhancers seen by the model from 47% (<20 kb) to 84% (<100 kb) as estimated from the proportions of high-confidence enhancer–gene pairs9.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [9] Gasperini, M. et al. A genome-wide framework for mapping gene regulation via cellular genetic screens. Cell 176, 377–390 (2019). source
The Results section, “Distance between Paired Enhancers and Promoters” (page unavailable), reports that the high-confidence upstream enhancer–gene pairs had a median separation of 24.1 kb, supporting the importance of distance. Our copy does not state that 47% fall within 20 kb or 84% within 100 kb, so it does not verify the claimed proportions. (LLM, conf=0.82)
Experimental — accuracy not yet measured
- Findingown data
Variant rs11644125 modulates the known motif of the transcription factor SP1.
“Using in silico mutagenesis of the local region (Methods), we observed that the variant rs11644125 modulates the known motif of the transcription factor SP1 (ref. 24).”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites [24] Weissbrod, O. et al. Functionally informed fine-mapping and polygenic localization of complex trait heritability. Nat. Genet. 52, 1355–1363 (2020). source
The Results section on fine-mapping of 49 complex traits discusses enrichment of SNPs in functional annotations, but does not address rs11644125 or an SP1 motif. Searches of our copy for rs11644125, the SP1 transcription-factor motif, and in silico mutagenesis found no passage establishing the claimed effect. (LLM, conf=0.72)
Experimental — accuracy not yet measured
- Premisecitation
Many well-studied regulatory elements, including enhancers, repressors, and insulators, can influence gene expression from far greater than 20 kb away.
“Many well-studied regulatory elements, including enhancers, repressors, and insulators, can influence gene expression from far greater than 20 kb away5.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [5] Gasperini, M., Tome, J. M. & Shendure, J. Towards a comprehensive catalogue of validated and target-linked human enhancers. Nat. Rev. Genet. 21, 292–310 (2020). source
In “What features identify an enhancer?” (page unavailable), the paper gives examples of enhancers acting 1 Mb and 1.7 Mb from their target genes, well beyond 20 kb. It says most enhancers act much closer, and the cited passages do not establish the same long-distance claim for repressors or insulators. (LLM, conf=0.88)
Experimental — accuracy not yet measured
- Premisecitation
Deep convolutional neural networks (CNNs) achieve the current state of the art at predicting gene expression from DNA sequences for the human and mouse genomes.
“Deep convolutional neural networks (CNNs) achieve the current state of the art at predicting gene expression from DNA sequences for the human and mouse genomes1–4.”
Quote in the paperSubstantial claim3 of 4 sources checked- cites [1] Zhou, J. et al. Deep learning sequence-based ab initio prediction of variant effects on expression and disease risk. Nat. Genet. 50, 1171–1179 (2018). source
The Results section reports accurate gene-expression predictions from DNA sequence across 218 human tissues and cell types, and the Online Methods describe a convolutional neural network as part of the ExPecto framework. The paper does not establish that this approach is the current state of the art, and the passages address human rather than mouse expression prediction. Its final expression-prediction stage uses regularized linear models, not a CNN alone. (LLM, conf=0.86)
Experimental — accuracy not yet measured - cites [2] Kelley, D. R. Cross-species regulatory sequence activity prediction. PLoS Comput. Biol. 16, e1008050 (2020). source
- cites [3] Kelley, D. R. et al. Sequential regulatory activity prediction across chromosomes with convolutional neural networks. Genome Res. 28, 739–750 (2018). source
The Methods describe a deep CNN that predicts from DNA sequence, and the Results (Cell-type–specific gene expression; page unavailable) report effective gene-expression predictions, on par with models that use experimental regulatory measurements. The passages support the claim for the human data studied, but do not establish gene-expression performance in mouse or a state-of-the-art ranking across both genomes. (LLM, conf=0.86)
Experimental — accuracy not yet measured - cites [4] Agarwal, V. & Shendure, J. Predicting mRNA abundance directly from genomic sequence using deep convolutional neural networks. Cell Rep. 31, 107663 (2020). source
- Findingown data
This fixed and broader window yielded better performance compared to the variable window size of ~500 bp as used in the original ABC score.
“This fixed and broader window yielded better performance compared to the variable window size of ~500 bp as used in the original ABC score (Extended Data Fig. 4a).”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Fulco et al. [13] Fulco, C. P. et al. Activity-by-contact model of enhancer-promoter regulation from thousands of CRISPR perturbations. Nat. Genet. 51, 1664–1669 (2019). source
The Methods (Activity by Contact model; page not provided) say the original ABC model used 500-bp candidate elements and merged overlapping regions, producing variable lengths (576 bp on average in K562). Our copy does not report that a fixed, broader window performed better; the citing sentence points to its own Extended Data Fig. 4a for that comparison. (LLM, conf=0.86)
Experimental — accuracy not yet measured
- Findingown data
The lasso-trained Enformer exceeded the performance of Group 3, the winning team from CAGI5 (P = 0.002, paired, one-sided Mann-Whitney U test).
“The lasso-trained Enformer exceeded the performance of Group 3, the winning team from CAGI5 (P = 0.002, paired, one-sided Mann–Whitney U test, Fig. 4b).”
Quote in the paperSubstantial claim - Findingreasoning
Using transformer layers allowed Enformer to substantially increase the receptive field, reaching distal regulatory elements up to 100 kb away while still being able to effectively integrate their information.
“Using transformer layers allowed us to substantially increase the receptive field, reaching distal regulatory elements up to 100 kb away while still being able to effectively integrate their information.”
- Also stated in: § Abstract · plain
“Here, we report substantially improved gene expression prediction accuracy from DNA sequences through the use of a deep learning architecture, called Enformer, that is able to integrate information from long-range interactions (up to 100 kb away) in the genome.”
Quote in the paperSubstantial claim - Also stated in: § Abstract · plain
- Findingown data
Enformer variant effect predictions for DNase hypersensitivity had greater SLDP concordance with GTEx than an alternative method called DeepSEA Beluga, used in ExPecto1.
“We also found that Enformer variant effect predictions for DNase hypersensitivity had greater SLDP concordance with GTEx than an alternative method called DeepSEA Beluga, used in ExPecto1 (Extended Data Fig. 9).”
Quote in the paperNot a substantial claim - Findingown data
For 379 of 648 (59.4%) CAGE datasets, the maximum SLDP Z-score across GTEx tissues increased for Enformer predictions relative to Basenji2.
“For 379 of 648 (59.4%) CAGE datasets, the maximum SLDP Z-score across GTEx tissues (representing the most likely closest sample match) increased for Enformer predictions relative to Basenji2.”
Quote in the paperSubstantial claim - Findingown data
Enformer faithfully captured the effects of two out of four transcription-factor-binding sites for the LDLR locus.
“Visualization of the predictions that required no additional training revealed that Enformer faithfully captured the effects of two out of four transcription-factor-binding sites for the LDLR locus (Fig. 4c).”
Quote in the paperNot a substantial claim - Findingown data
Enformer contribution scores prioritized validated enhancer-gene pairs with higher accuracy than Basenji2 contribution scores or random scores across almost all relative distances and different types of contribution scores.
“Enformer contribution scores prioritized validated enhancer–gene pairs with higher accuracy than Basenji2 contribution scores or random scores across almost all relative distances and different types of contribution scores (Fig. 2b, Enformer versus Basenji2 versus Random).”
Quote in the paperSubstantial claim - Findingown data
This improvement was consistent across all distances from the TSS.
“This improvement was consistent across all distances from the TSS (Fig. 3e), suggesting that the model not only better represents variants likely overlapping long-range enhancers (enabled by the larger receptive field), but also more effectively parses promoters and short-range enhancers.”
Quote in the paperSubstantial claim - Findingown data
Enformer gene expression predictions better captured tissue- or cell-type specificity, including for closely related samples.
“Gene expression predictions also better captured tissue- or cell-type specificity (Fig. 1b, right), including for closely related samples (Extended Data Fig. 3).”
Quote in the paperSubstantial claim - Findingcitation
The performance improvement was largest for CAGE.
“The performance improvement was largest for CAGE, possibly because tissue-specific gene expression strongly depends on distal elements11.”
Quote in the paperNot a substantial claim - Findingown data
The performance improvement was consistent across all four types of genome-wide tracks, including CAGE, histone modifications, TF binding, and DNA accessibility in various cell types and tissues for held-out chromosomes.
“The performance improvement was consistent across all four types of genome-wide tracks, including CAGE measuring transcriptional activity, histone modifications, TF binding, and DNA accessibility in various cell types and tissues for held-out chromosomes (Fig. 1c).”
Quote in the paperSubstantial claim - Findingown data
Lasso regression with Enformer predictions as features had the best average correlation across all loci, among seven alternative submissions from the CAGI5 competition.
“Evaluating these two approaches on each gene’s test set revealed that lasso regression with Enformer predictions as features had the best average correlation across all loci, among seven alternative submissions from the competition (Fig. 4a).”
Quote in the paperSubstantial claim - Findingown data
Both attention patterns at TAD boundaries were statistically significant across 1,500 tested sequences.
“Both of these two patterns were statistically significant across 1,500 tested sequences (Fig. 2d, ‘Across TAD’ and ‘Key at TAD boundary’).”
Quote in the paperSubstantial claim - Findingown data
Cell-type-specific contribution scores yielded a higher prioritization performance than cell-type-agnostic ones.
“Cell-type-specific contribution scores yielded a higher prioritization performance than cell-type-agnostic ones, suggesting that the model was using different enhancer sequences in different cell types as expected (Extended Data Fig. 7c).”
Quote in the paperSubstantial claim - Findingown data
Enformer correctly predicts reduced NLRC5 expression from the upstream TSS in many relevant CAGE samples, including PBMCs, for variant rs11644125.
“Enformer correctly predicts reduced NLRC5 expression from the upstream TSS in many relevant CAGE samples, including PBMCs.”
Quote in the paperSubstantial claim - Findingown data
We observed a qualitative improvement in the tissue similarity of the top-ranked CAGE sample for GTEx tissues.
“We observed a qualitative improvement in the tissue similarity of the top-ranked CAGE sample for GTEx tissues, exemplified by increased SLDP Z-scores for muscle samples to GTEx skeletal muscle and adipose samples for GTEx subcutaneous adipose tissue (Fig. 3b,c).”
Quote in the paperSubstantial claim - Findingown data
Enformer's custom relative positional basis functions provided a noticeable performance improvement over typically used relative basis functions and absolute positional encodings.
“Enformer uses custom relative positional basis functions in the transformer layers to more easily distinguish between proximal and distal regulatory elements, and to distinguish positions upstream and downstream of the TSS. Both properties provided a noticeable performance improvement over the typically used relative basis functions and absolute positional encodings in the NLP literature (Extended”
Quote in the paperNot a substantial claim - Findingown data
The maximum Z-score increased on average from 6.3 to 6.9.
“The maximum Z-score increased on average from 6.3 to 6.9 (Fig. 3a).”
Quote in the paperSubstantial claim - Findingown data
Attention layers outperformed dilated convolutions across all model sizes, numbers of layers, and numbers of training data points.
“Attention layers outperformed dilated convolutions across all model sizes, numbers of layers, and numbers of training data points (Extended Data Fig. 5a).”
Quote in the paperSubstantial claim - Findingown data
The Enformer model was also more accurate at predicting the direction of expression change of these fine-mapped eQTLs than was Basenji2.
“The Enformer model was also more accurate at predicting the direction of expression change of these fine-mapped eQTLs than was Basenji2 (Extended Data Fig. 10).”
Quote in the paperSubstantial claim - Findingown data
One of the key motifs at TAD boundaries that the model used to make DNase and CAGE predictions was CTCF, which was found to be associated with both positive and negative contribution scores.
“One of the key motifs at TAD boundaries that the model used to make DNase and CAGE predictions was CTCF, which was found to be associated with both positive and negative contribution scores (Extended Data Fig. 8).”
Quote in the paperSubstantial claim - Findingown data
Enformer predictions enabled a more accurate classifier for 47 of 48 GTEx tissues, increasing the mean auROC from 0.729 to 0.747.
“Enformer predictions enabled a more accurate classifier for 47 of 48 GTEx tissues (Fig. 3d), increasing the mean area under the receiver operating characteristic curve (auROC) from 0.729 to 0.747.”
Quote in the paperSubstantial claim - Findingown data
The larger receptive field was crucial, because restricting the receptive field of Enformer to that of Basenji2 by replacing global attention layers with local ones caused a large performance drop.
“The larger receptive field was indeed crucial, because we observed a large performance drop when restricting the receptive field of Enformer to that of Basenji2 by replacing global attention layers with local ones (Extended Data Fig. 5b).”
Quote in the paperSubstantial claim - Findingown data
Enformer highlighted an additional binding site that had lower effect sizes, but still showed a significant difference.
“Enformer highlighted an additional binding site that had lower effect sizes, but still showed a significant difference.”
Quote in the paperNot a substantial claim - Interpretationown data
This example suggests that Enformer is looking at biologically relevant regions, such as enhancers beyond 20 kb, when making predictions.
“This example suggests that Enformer is indeed looking at biologically relevant regions, such as enhancers beyond 20 kb, when making predictions, and that gene expression contribution scores could be used to prioritize relevant enhancers.”
Quote in the paperSubstantial claim - Interpretationown data
Enformer predictions for noncoding-variant activity appear to improve primarily for samples with similar cell-type composition.
“Thus, Enformer predictions for noncoding-variant activity appear to improve primarily for samples with similar cell-type composition, in line with our observations of improved tissue and cell-type specificity for held-out sequences.”
Quote in the paperSubstantial claim- The authors state this as an assumption: CAGE samples without a relevant GTEx tissue match are not expected to show increased SLDP Z-scores.
- Interpretationreasoning
Enformer predictions suggest perturbed SP1 binding in hematopoietic cells that alters NLRC5 expression as a mechanism for these traits.
“Enformer predictions suggest perturbed SP1 binding in hematopoietic cells that alters NLRC5 expression as a mechanism for these traits.”
Quote in the paperNot a substantial claim - Interpretationown data
Enformer contribution scores are an effective strategy to prioritize candidate enhancers in cell types used for model training.
“Thus, Enformer contribution scores are an effective strategy to prioritize candidate enhancers in cell types used for model training.”
Quote in the paperSubstantial claim - Premisereasoning
These CNN models are only able to consider sequence elements up to 20 kb away from the transcription start site because the locality of convolutions limits information flow between distal elements.
“However, to make predictions, these models are only able to consider sequence elements up to 20 kb away from the transcription start site (TSS) because the locality of convolutions limits information flow in the network between distal elements.”
Quote in the paperSubstantial claim - Interpretationown data
Using the Enformer model, we can more accurately predict whether a natural variant or CRISPR-perturbed enhancer will cause a notable expression change than can previous approaches.
“Using the Enformer model, we can more accurately predict whether a natural variant or CRISPR-perturbed enhancer will cause a notable expression change than can previous approaches.”
Quote in the paperSubstantial claim - Interpretationown data
The model was using different enhancer sequences in different cell types.
“Cell-type-specific contribution scores yielded a higher prioritization performance than cell-type-agnostic ones, suggesting that the model was using different enhancer sequences in different cell types as expected (Extended Data Fig. 7c).”
Quote in the paperSubstantial claim - Premiseown data
Previous state-of-the-art models Basenji2 or ExPecto only reach elements up to 20 kb away.
“By contrast, previous state-of-the-art models Basenji2 or ExPecto only reach elements up to 20 kb away (Extended Data Fig. 1).”
Quote in the paperSubstantial claim - Interpretationown data
Overall, these results confirm that attention layers are better suited than dilated convolutions for gene expression prediction.
“Overall, these results confirm that attention layers are better suited than dilated convolutions for gene expression prediction.”
Quote in the paperSubstantial claim
- May combine two claims. 28
- Classified as probably not a substantial claim. 17
May combine two claims.
InterpretationreasoningEnformer's predictions are not limited to conserved enhancers because it does not rely explicitly on nucleotide conservation statistics.
“by not relying explicitly on nucleotide conservation statistics, as the majority of tools do25, its predictions are not limited to conserved enhancers, which comprise a small proportion of all enhancers30”
Quote in the paperSubstantial claim2 of 2 sources checked- cites [25] Kircher, M., Xiong, C., Martin, B. & Schubach, M. Saturation mutagenesis of twenty disease-associated regulatory elements at single base-pair resolution. Nature 10, 3583 (2019). source
In Results, under “Computational tools predict expression effects poorly” (page not provided), the paper says conservation was informative for only a subset of its studied regulatory elements. It does not establish that conserved enhancers are a small proportion of all enhancers. Nor does it assess Enformer or whether its predictions extend to unconserved enhancers. (LLM, conf=0.83)
Experimental — accuracy not yet measured - cites [30] Villar, D. et al. Enhancer evolution across 20 mammalian species. Cell 160, 554 (2015). source
May combine two claims.
Findingown dataThe performance of Enformer was comparable to, and in some cases even better than, the ABC score, a state-of-the-art method recently proposed specifically for enhancer prioritization.
“The performance of Enformer was comparable to, and in some cases even better than, the ABC score13, a state-of-the-art method recently proposed specifically for enhancer prioritization.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [13] Fulco, C. P. et al. Activity-by-contact model of enhancer-promoter regulation from thousands of CRISPR perturbations. Nat. Genet. 51, 1664–1669 (2019). source
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationTransformers are a class of deep learning models that have achieved substantial breakthroughs in natural language processing and were also recently applied to model short DNA sequences.
“Transformers are a class of deep learning models that have achieved substantial breakthroughs in natural language processing (NLP)6,7 and were also recently applied to model short DNA sequences8.”
Quote in the paperNot a substantial claim2 of 3 sources checked- cites [6] Vaswani, A. et al. Attention is all you need. in Advances in Neural Information Processing Systems 5998–6008 (2017).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [7] Brown, T. B. et al. Language models are few-shot learners. in Advances in Neural Information Processing Systems (2020). source
- cites [8] Ji, Y., Zhou, Z., Liu, H. & Davuluri, R. V. DNABERT: pre-trained bidirectional encoder representations from transformers model for DNA-language in genome. Bioinformatics https://doi.org/10.1093/bioinformatics/btab083 (2021). source
May combine two claims.
Findingown dataThis performance increase is twice as large as the performance increase between Basenji1 and Basenji2 and closes one-third of the gap to experimental-level accuracy, estimated at 0.94.
“This performance increase is twice as large as the performance increase between Basenji1 (ref. 3) and Basenji2 (ref. 2) and closes one-third of the gap to experimental-level accuracy, estimated at 0.94 (Extended Data Fig. 2).”
Quote in the paperSubstantial claim2 of 2 sources checkedMay combine two claims.
PremisecitationThe ABC score relies on experimental data, such as a HiC-based interaction frequency and H3K27ac as input, whereas Enformer uses only DNA sequence as input and was never trained to explicitly locate enhancers.
“This is remarkable because the ABC score relies on experimental data, such as a HiC-based interaction frequency and H3K27ac as input (Fig. 2b, blue versus green, and Extended Data Fig. 7a), whereas Enformer uses only DNA sequence as input and was never trained to explicitly locate enhancers.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [13] Fulco, C. P. et al. Activity-by-contact model of enhancer-promoter regulation from thousands of CRISPR perturbations. Nat. Genet. 51, 1664–1669 (2019). source
The ABC model description states that the score uses H3K27ac ChIP-seq data and, in the described implementation, Hi-C contact frequency. Our copy does not address Enformer, so it cannot support the claims about Enformer's inputs or training. (LLM, conf=0.88)
Experimental — accuracy not yet measured
Probably not a substantial claim: may not pass S3 (load-bearing).
FindingcitationIncreasing the number of parameters improved model performance.
“We note that increasing the number of parameters improved model performance, consistent with recent advances in NLP7.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites [7] Brown, T. B. et al. Language models are few-shot learners. in Advances in Neural Information Processing Systems (2020). source
Classified as probably not a substantial claim.
InterpretationcitationTissue-specific gene expression strongly depends on distal elements.
“The performance improvement was largest for CAGE, possibly because tissue-specific gene expression strongly depends on distal elements11.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [11] Heinz, S., Romanoski, C. E., Benner, C. & Glass, C. K. The selection and function of cell type-specific enhancers. Nat. Rev. Mol. Cell Biol. 16, 144–154 (2015). source
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductcitationThe strength of the regularization was controlled by a single λ parameter, which was optimized using tenfold crossvalidation for each training set.
“The strength of the regularization was controlled by a single λ parameter, which was optimized using tenfold crossvalidation for each training set using the cv.glmnet function of the glmnet library in R.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites [45] Klein, J. C. et al. A systematic evaluation of the design and context dependencies of massively parallel reporter assays. Nat. Methods 17, 1083–1091 (2020). source
The Online Methods, under “Model training” (page unavailable), says that a single λ parameter was optimized using tenfold cross-validation. It specifies optimization on the entire dataset, not for each training set, and does not identify the cv.glmnet function or glmnet library named in the citing sentence. (LLM, conf=0.88)
Experimental — accuracy not yet measured
May combine two claims.
InterpretationcitationEnformer can make predictions for arbitrary sequences, which enables the synthetic design of enhancers that are optimized to exhibit cell-type specificity.
“it can make predictions for arbitrary sequences, which enables the synthetic design of enhancers that are optimized to exhibit cell-type specificity31”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [31] Linder, J. et al. A generative neural network for maximizing fitness and diversity of synthetic DNA and protein sequences. Cell Syst. 11, 49–62 (2020). source
The Discussion (page unavailable) proposes that DENs could be used with gene-expression data to engineer cell-type-specific enhancers. The paper does not attribute arbitrary-sequence prediction or this design capability to Enformer, and presents cell-type-specific enhancer design as a possibility rather than a demonstrated result. (LLM, conf=0.86)
Experimental — accuracy not yet measured
May combine two claims.
InterpretationcitationFiner resolution has potential benefits when data support it, but would extend the sequence length entering the quadratic complexity MHA and make the model engineering intractable on currently available hardware.
“Finer resolution has potential benefits when the data support it15, but would extend the sequence length entering the quadratic complexity MHA and make the model engineering intractable on currently available hardware.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites [15] Avsec, Ž. et al. Base-resolution models of transcription-factor binding reveal soft motif syntax. Nat. Genet. https://doi.org/10.1038/s41588-021-00782-6 (2021). source
May combine two claims.
Findingown dataEnformer maximum Z-scores increased by greater than one s.d. for 228 CAGE datasets, relative to 46 decreased by one.
“Enformer maximum Z-scores increased by greater than one s.d. for 228 CAGE datasets, relative to 46 decreased by one.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataBasenji2 contribution scores were zero for sequences beyond 20 kb from the TSS due to the limited receptive field, thereby missing several enhancers.
“By contrast, the contribution scores of Basenji2 were zero for sequences beyond 20 kb from the TSS due to the limited receptive field, thereby missing several enhancers.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataUsing Enformer predictions directly as scores, without training, performed comparably to the lasso-trained model and also outperformed the other submissions.
“Moreover, using the Enformer predictions directly as scores, without training, performed comparably to the lasso-trained model and also outperformed the other submissions.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataEnformer outperforms Basenji2 in gene expression prediction from sequence both across genes and across CAGE experiments for protein-coding genes.
“Enformer outperforms Basenji2 in gene expression prediction from sequence both across genes and across CAGE experiments for protein-coding genes.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataEnformer yielded greater predictive accuracy than ExPecto1 for both across-genes (0.850 versus 0.812 Spearman r) and across-tissues (0.451 versus 0.368 Spearman r) evaluation.
“Enformer also yielded greater predictive accuracy than ExPecto1, a model trained to predict gene expression levels measured by RNA-seq, for both across-genes (0.850 versus 0.812 Spearman r) and across-tissues (0.451 versus 0.368 Spearman r) evaluation (Extended Data Fig. 4).”
Quote in the paperSubstantial claimMay combine two claims.
Findingown datadeltaSVM successfully predicted only one binding site but missed the other three, overall exhibiting 50% reduced Pearson and Spearman correlations to the measured effects relative to Enformer.
“By contrast, deltaSVM successfully predicted only one binding site but missed the other three, overall exhibiting 50% reduced Pearson and Spearman correlations to the measured effects relative to Enformer.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataEnformer contribution scores correlated with H3K27ac and highlighted not only local promoter regions, but also distal enhancers more than 20 kb away.
“We inspected the contribution scores of several genes and observed that they correlated with histone H3 acetylated at K27 (H3K27ac) and highlighted not only local promoter regions, but also distal enhancers more than 20 kb away (Fig. 2a and Supplementary Figs. 2 and 3).”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataEnformer paid more attention to TAD boundaries than to random positions and less attention to regions on the opposite side of the boundary.
“From the perspective of the query position, Enformer paid more attention to TAD boundaries than to random positions (vertical red stripe, Fig. 2c) and less attention to regions on the opposite side of the boundary (off-diagonal blue blocks, Fig. 2c), consistent with the biological observation of reduced inter-TAD interactions.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThis led to a substantial performance increase in tissue- and cell-type-specific gene expression prediction correlation from 0.81 to 0.85, one-third of the way toward the experimental-level accuracy of 0.94 estimated from replicates.
“This led to a substantial performance increase in tissue- and cell-type-specific gene expression prediction correlation from 0.81 to 0.85, one-third of the way toward the experimental-level accuracy of 0.94 estimated from replicates.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataAttention pooling initialization to 2 × 1 gave slightly better performance than random initialization or initialization with zeros.
“This initialization gave slightly better performance than did random initialization or initialization with zeros, representing average pooling.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
FindingreasoningSetting the maximum features considered per decision tree split to log2 of the total number of features greatly improved the computational efficiency.
“However, owing to the large number of features derived from the training datasets, setting the maximum features considered per decision tree split to log2 of the total number of features greatly improved the computational efficiency.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataWe selected the default hyperparameters of the scikit-learn 0.22 implementation after finding negligible accuracy gains from modifying them.
“We selected the default hyperparameters of the scikit-learn 0.22 implementation after finding negligible accuracy gains from modifying them44.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [44] Pedregosa, F. et al. Scikit-learn: machine learning in Python. J. Mach. Learn. Res. 12, 2825–2830 (2011). source
May combine two claims.
Interpretationown dataThese results confirm that the Enformer architecture advances prediction accuracy for both a broad range of epigenetic marks and gene expression from DNA sequence.
“These results confirm that the Enformer architecture advances prediction accuracy for both a broad range of epigenetic marks and gene expression from DNA sequence.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningWith a novel transformer architecture, the authors have made a significant improvement by greatly expanding the receptive field and increasing information flow between distal elements.
“With a novel transformer architecture, we have made a significant improvement by greatly expanding the receptive field and increasing the information flow between distal elements.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe model not only better represents variants likely overlapping long-range enhancers, but also more effectively parses promoters and short-range enhancers.
“This improvement was consistent across all distances from the TSS (Fig. 3e), suggesting that the model not only better represents variants likely overlapping long-range enhancers (enabled by the larger receptive field), but also more effectively parses promoters and short-range enhancers.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThis improvement in predictive accuracy translated to improved models for two key problems of biological relevance: enhancer-promoter prediction and noncoding variant effect prediction.
“This improvement in predictive accuracy translated to improved models for two key problems of biological relevance: enhancer–promoter prediction and noncoding variant effect prediction.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataOverall, these results suggest that the model has learned about the role of tissue-specific enhancers and promoters, and also about insulator elements and their role in inhibiting information flow between genomic compartments.
“Overall, these results suggest that the model has not only learned about the role of tissue-specific enhancers and promoters, but also about insulator elements and their role in inhibiting information flow between genomic compartments.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe model pays attention to enhancers and considers insulators when making gene expression predictions, suggesting that it has learned canonical distal regulation patterns.
“We observed that the model pays attention to enhancers and considers insulators when making gene expression predictions, suggesting that it has learned canonical distal regulation patterns.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationnone givenA limitation of the current approach is that we can model and predict only for cell types and assays in the training data and cannot generalize to new cell types or assays.
“A limitation of the current approach is that we can model and predict only for cell types and assays in the training data and cannot generalize to new cell types or assays.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Study design and conductown dataWe trained separate random forest classifiers for each tissue to distinguish causal from noncausal variants using eight-fold crossvalidation.
“To determine how informative different variant annotations are, we trained separate random forest classifiers for each tissue to distinguish causal from noncausal variants using eight-fold crossvalidation.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe Enformer architecture is similar to the state-of-the-art model Basenji2.
“The Enformer architecture is similar to the state-of-the-art model Basenji2 (ref. 2).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites ref. 2
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
Study design and conductnone givenWe only evaluated the performance of our model on the test set once to generate Fig. 1 and did not use the test set during model development.
“We only evaluated the performance of our model on the test set once to generate Fig. 1 and did not use the test set during model development.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenThe optimal learning rate was discovered by grid search yielding the highest performance on the validation set.
“The optimal learning rate was discovered by grid search yielding the highest performance on the validation set.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenWe fit 100 iterations of stochastic crossvalidation shuffling and random forest fitting to delineate a low-variance estimate of model accuracy.
“We fit 100 iterations of stochastic crossvalidation shuffling and random forest fitting to delineate a low-variance estimate of model accuracy.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
Study design and conductcitationThe model was trained, evaluated, and tested on the same targets, genomic intervals, and using the same Poisson negative log-likelihood loss function as Basenji2.
“The model was trained, evaluated, and tested on the same targets, genomic intervals, and using the same Poisson negative log-likelihood loss function as Basenji2 (ref. 2).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites ref. 2
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
Study design and conductnone givenWe used the validation set for hyperparameter selection and the test set for Basenji2 comparison.
“We used the validation set for hyperparameter selection and the test set for Basenji2 comparison.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductnone givenAll models were trained for 500,000 steps while only storing the model with the highest Spearman correlation of CAGE TSS gene expression across genes averaged across experiments computed on the validation set every 1,000 steps.
“All models were trained for 500,000 steps while only storing the model with the highest Spearman correlation of CAGE TSS gene expression across genes averaged across experiments computed on the validation set every 1,000 steps.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenWe used test-time augmentation during model evaluation: we averaged the predictions from 8 sequences randomly augmented the same way as during training (≤3 bp shifts and reverse-complementation).
“We used test–time augmentation during model evaluation: we averaged the predictions from 8 sequences randomly augmented the same way as during training (≤3 bp shifts and reverse-complementation).”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThe convolution tower preceding MHA in Enformer serves to embed nucleotide segments and contributes an inductive bias for adjacent nucleotides to function together in motifs.
“The convolution tower preceding MHA in the Enformer model serves to perform an analogous operation of embedding nucleotide segments and contributes a compelling inductive bias for adjacent nucleotides to function together in motifs.”
Quote in the paperNot a substantial claim
The authors state this as an assumption.
CAGE samples without a relevant GTEx tissue match are not expected to show increased SLDP Z-scores.
“Note that we do not expect increased SLDP Z-scores for CAGE samples without a relevant GTEx tissue match.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
DNA is known for requiring long-range dependencies to model.
“It is also known for requiring long-range dependencies to model (Avsec et al. 2021).”
From Mamba: Linear-Time Sequence Modeling with Selective State Spaces (2023) · cites this paper as Avsec et al. 2021
The Discussion (page not available) says that incorporating distant DNA elements improves prediction of gene expression from sequence. The claim extends that finding to modeling DNA generally, which this paper does not establish. (LLM, conf=0.82)
Experimental — accuracy not yet measuredPrevious models have only attempted to work with RNA-seq after summarizing gene expression in a single statistic.
“Previous models have only attempted to work with RNA-seq after summarizing gene expression in a single statistic.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
The Results section (page unavailable) identifies ExPecto as a previous model trained to predict gene-expression levels measured by RNA-seq. It does not say that all previous models used RNA-seq only after reducing expression to a single statistic. The Methods passage about summing CAGE counts describes this paper’s evaluation, not that broader claim about earlier RNA-seq models. (LLM, conf=0.82)
Experimental — accuracy not yet measuredExisting sequence-to-function methods involve a trade-off between input sequence length and prediction resolution, limiting their modality scope and performance.
“Existing methods involve a trade-off between input sequence length and prediction resolution, thereby limiting their modality scope and performance1–5.”
From Advancing regulatory variant effect prediction with AlphaGenome (2026) · cites this paper as [1]
The Methods (Model architecture; page unavailable) describe a trade-off for Enformer: finer prediction resolution would increase the sequence length entering its attention layers and make computation intractable on available hardware. The Results (Enformer improves gene expression prediction; page unavailable) also say previous models reached less-distant elements. The paper does not establish that existing methods generally trade input length against resolution or that this trade-off limits their modality scope. (LLM, conf=0.82)
Experimental — accuracy not yet measuredEnformer has been originally trained in a supervised fashion to solve chromatin and gene expression tasks.
“Note that Enformer has been originally trained in a supervised fashion to solve chromatin and gene expression tasks19.”
From Nucleotide Transformer: building and evaluating robust foundation models for human genomics (2025) · cites this paper as [19]
By processing a large region centered on the transcription start site, several models can predict normalized gene counts.
“By processing a large region centered on the transcription start site (TSS), several models can predict normalized gene counts11–13.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
Recent work on the Enformer model using self-attention has demonstrated a path toward modeling long-range regulatory information.
“Recent work on the Enformer model using self-attention has demonstrated a path toward achieving this goal13.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
Compared to Enformer, Borzoi can score sites up to twice as far away from the gene, 262 kb, and uses exon annotations rather than TSS annotations, which are generally more robust to alternative isoforms.
“Compared to Enformer13, Borzoi can score sites that are up to twice as far away from the gene, 262 kb, and we make use of exon annotations rather than TSS annotations, which are generally more robust to alternative isoforms.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
Including experimental assays studied by Enformer and Basenji in training data helps the model use important sequence features for making RNA coverage predictions.
“To help the model use important sequence features for making its RNA coverage predictions, we also included the experimental assays studied by the Enformer and Basenji models in the training data8,9,13.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
The model is based on the Enformer network architecture but introduces simplifications and enhancements to optimize for RNA-seq prediction.
“The model is based on the Enformer network architecture but introduces a number of simplifications and enhancements to optimize for RNA-seq prediction13.”
From Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation (2025) · cites this paper as [13]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Reported percentage does not match the stated CAGE dataset count
Minor379 out of 648 is 58.5%, not 59.4%. The reported percentage instead matches 379 out of 638, the CAGE sample count given elsewhere in the paper.
Reported 59.4 · recomputed 58.487654
“For 379 of 648 (59.4%) CAGE datasets, the maximum SLDP Z-score across GTEx tissues (representing the most likely closest sample match) increased for Enformer predictions relative to Basenji2.”
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Scientific discovery in the age of artificial intelligence.
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Self-citationscGPT: Towards Building a Foundation Model for Single-Cell Multi-omics Using Generative AI
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Mamba: Linear-Time Sequence Modeling with Selective State Spaces
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SCENIC+: single-cell multiomic inference of enhancers and gene regulatory networks
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Nucleotide Transformer: building and evaluating robust foundation models for human genomics
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InfluentialSequence modeling and design from molecular to genome scale with Evo
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Scaling Vision Transformers to Gigapixel Images via Hierarchical Self-Supervised Learning
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WILDS: A Benchmark of in-the-Wild Distribution Shifts
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AlphaGenome: advancing regulatory variant effect prediction with a unified DNA sequence model
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Self-citationAdvancing regulatory variant effect prediction with AlphaGenome
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Self-citationSystematic differences in discovery of genetic effects on gene expression and complex traits
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Predicting RNA-seq coverage from DNA sequence as a unifying model of gene regulation
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Self-citationA comparative atlas of single-cell chromatin accessibility in the human brain
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DNA language models are powerful predictors of genome-wide variant effects
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The genetic and biochemical determinants of mRNA degradation rates in mammals
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Self-citationMachine learning for perturbational single-cell omics
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EXplainable Artificial Intelligence (XAI)—From Theory to Methods and Applications
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TFXcan reveals transcription factor programs driving GWAS loci
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- Authors
- Avsec, Ž., Agarwal, V., Visentin, D., Ledsam, J. R., Grabska-Barwinska, A., Taylor, K. R., Assael, Y., Jumper, J., Kohli, P., & Kelley, D. R.
- Affiliations
- Google DeepMind (United Kingdom) (GB)
- Calico Life Sciences (US)
- Corresponding author
- Avsec, Žiga
- Kohli, Pushmeet
- Kelley, David R.
- ORCID
- Venue
- Nature Methods
- Published
- 2021-10
- Volume
- 18
- Issue
- 10
- Pages
- 1196-1203
- ISSN
- 1548-7091 (ISSN-L)
- 1548-7105
- PMC
- PMC8490152
- OpenAlex
- W3203588026
- Semantic Scholar
- e12e837cb2e9baeaefdcab06fe1c75add8f46389
- Cited by
- 1,326
- References
- 51
- Citations by year
- 2026: 388 · 2025: 323 · 2024: 284 · 2023: 197 · 2022: 103 · 2021: 25 · 2020: 2 · 2013: 2
- FWCI
- 41.52
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Nature Methods (publishedVersion, cc-by)
- bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion, cc-by)
- PubMed (publishedVersion)
- PubMed Central (submittedVersion, cc-by)
- Funders
- Berlin Institute of Health
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Chromatin Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cancer Research › Cancer-related molecular mechanisms research
- Keywords
- gene expression prediction, long-range interactions, Enformer, deep learning, non-coding DNA, enhancer-promoter interactions, variant effect prediction, massively parallel reporter assay, saturation mutagenesis, cis-regulatory evolution, fine mapping, cell type-specific gene expression
- MeSH terms
- Machine Learning, Animals, Cell Line, DNA, Gene Expression Regulation, Humans, Nerve Net, Genome, Genomics, Databases, Genetic, Quantitative Trait Loci, Epigenesis, Genetic, Mice
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-20.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-20.
Cited sources are checked by gpt-6-sol.
Statistics and arithmetic are recomputed, not judged.
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