Methods for causal inference from gene perturbation experiments and validation
Open accessAbstract
Inferring causal effects from observational and interventional data is a highly desirable but ambitious goal. Many of the computational and statistical methods are plagued by fundamental identifiability issues, instability, and unreliable performance, especially for large-scale systems with many measured variables. We present software and provide some validation of a recently developed methodology based on an invariance principle, called invariant causal prediction (ICP). The ICP method quantifies confidence probabilities for inferring causal structures and thus leads to more reliable and confirmatory statements for causal relations and predictions of external intervention effects. We validate the ICP method and some other procedures using large-scale genome-wide gene perturbation experiments in Saccharomyces cerevisiae . The results suggest that prediction and prioritization of future experimental interventions, such as gene deletions, can be improved by using our statistical inference techniques.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
Because gene expression data can be noisy and variable, recent work fuses co-expression matrices with existing biomedical networks such as GO annotations and PPI, then feeds the resulting graph into graph convolution layers.
“Because gene expression data can be noisy and variational, recent advances include fusing the co-expression matrices with existing biomedical networks, such as GO annotations and PPI, and feeding the resulting graph into graph convolution layers (Section 2.2) [150, 151, 152].”
From Graph representation learning in biomedicine and healthcare (2022) · cites this paper as [150]
This fusion has enabled more interpretable disease classification models, for example by weighting gene interactions using existing biological knowledge.
“Doing so has enabled more interpretable disease classification models (e.g., weighting gene interactions based on existing biological knowledge).”
From Graph representation learning in biomedicine and healthcare (2022) · cites this paper as [150]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
R: A Language and Environment for Statistical Computing
R Core Team (2000) · doi:10.32614/r.manuals · Cited by 355,706 · see citing works
Structural Equations with Latent Variables
Bollen, K. A. (1989) · Wiley series in probability and statistics · doi:10.1002/9781118619179 · Cited by 17,512 · see citing works
Structural Equations with Latent Variables.
Clogg, C. C., & Bollen, K. A. (1991) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2072165 · Cited by 17,471 · see citing works
Causality: Models, Reasoning, and Inference
Pearl, J. (2009) · doi:10.1017/cbo9780511803161 · Cited by 11,653 · see citing works
(2009) · Cited by 6,153 · see citing works
Causation, Prediction, and Search
Spirtes, P., Glymour, C., & Scheines, R. (1993) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-2748-9 · Cited by 4,617 · see citing works
Causation, Prediction, and Search
Spirtes, P., Glymour, C., & Scheines, R. (2001) · doi:10.7551/mitpress/1754.001.0001 · Cited by 4,521 · see citing works
Learning Bayesian Networks: The Combination of Knowledge and Statistical Data
Heckerman, D. E., Geiger, D., & Chickering, D. M. (1995) · Machine Learning · doi:10.1007/bf00994016 · Cited by 4,082 · see citing works
Learning Bayesian Networks: The Combination of Knowledge and Statistical Data
Heckerman, D. E., Geiger, D., & Chickering, D. M. (1995) · Machine Learning · doi:10.1023/a:1022623210503 · Cited by 3,251 · see citing works
Causality: models, reasoning, and inference
(2000) · Choice Reviews Online · doi:10.5860/choice.38-1494a · Cited by 2,969 · see citing works
Robins, J. (1986) · Mathematical Modelling · doi:10.1016/0270-0255(86)90088-6 · Cited by 2,451 · see citing works
Advances in Neural Information Processing Systems 27 (NIPS 2014)
Zhong, M., Goddard, N., & Sutton, C. A. (2014) · Cited by 2,440 · see citing works
Meinshausen, N., & Bühlmann, P. (2010) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.1467-9868.2010.00740.x · Cited by 2,314 · see citing works
Self-citationSaccharomyces Genome Database: the genomics resource of budding yeast
Cherry, J., Hong, E., Amundsen, C., Balakrishnan, R., Binkley, G., Chan, E. T., Christie, K., Costanzo, M., Dwight, S., Engel, S., et al. (2011) · Nucleic Acids Res. · doi:10.1093/nar/gkr1029 · Cited by 1,886 · see citing works
Causal Protein-Signaling Networks Derived from Multiparameter Single-Cell Data
Sachs, K., Perez, O. D., Pe’er, D., Lauffenburger, D. A., & Nolan, G. P. (2005) · Science · doi:10.1126/science.1105809 · Cited by 1,724 · see citing works
Proceedings of the 29th International Conference on Machine Learning (ICML-12)Preprint
Langford, J. C., & Pineau, J. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1207.4676 · Cited by 1,687 · see citing works
A Linear Non-Gaussian Acyclic Model for Causal Discovery
Shimizu, S., Hoyer, P. O., Hyvärinen, A., & Kerminen, A. (2006) · Cited by 1,152 · see citing works
Heuristics of instability and stabilization in model selection
Breiman, L. (1996) · The Annals of Statistics · doi:10.1214/aos/1032181158 · Cited by 1,144 · see citing works
Kumar, K. (2016) · Bond University Research Portal (Bond University) · doi:10.1111/rssb.12167 · Cited by 680 · see citing works
Nonlinear causal discovery with additive noise models
Hoyer, P. O., Janzing, D., Mooij, J. M., Peters, J., & Schölkopf, B. (2008) · Cited by 652 · see citing works
Self-citationEstimating high-dimensional directed acyclic graphs with the PC-algorithmPreprint
Kalisch, M., & Buehlmann, P. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.math/0510436 · Cited by 616 · see citing works
Learning high-dimensional directed acyclic graphs with latent and selection variables
Colombo, D., Maathuis, M. H., Kalisch, M., & Richardson, T. S. (2012) · The Annals of Statistics · doi:10.1214/11-aos940 · Cited by 384 · see citing works
Causal Inference and Causal Explanation with Background KnowledgePreprint
Meek, C. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1302.4972 · Cited by 378 · see citing works
Estimating High-Dimensional Directed Acyclic Graphs with the PC-Algorithm
KalischMarkus, & BühlmannPeter (2007) · Journal of Machine Learning Research · doi:10.5555/1248659.1248681 · Cited by 337 · see citing works
Causal discovery with continuous additive noise models
Peters, J., Mooij, J. M., Janzing, D., & Schölkopf, B. (2014) · Journal of Machine Learning Research · doi:10.5555/2627435.2670315 · Cited by 318 · see citing works
Self-citationEstimating high-dimensional intervention effects from observational data
Maathuis, M. H., Kalisch, M., & Bühlmann, P. (2009) · The Annals of Statistics · doi:10.1214/09-aos685 · Cited by 309 · see citing works
Self-citationKemmeren, P., Sameith, K., van de Pasch, L. A. L., Benschop, J. J., Lenstra, T. L., Margaritis, T., O’Duibhir, E., Apweiler, E., van Wageningen, S., Ko, C. W., et al. (2014) · Cell · doi:10.1016/j.cell.2014.02.054 · Cited by 277 · see citing works
HauserAlain, & BühlmannPeter (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1104.2808 · Cited by 246 · see citing works
Self-citationCAM: Causal additive models, high-dimensional order search and penalized regression
Bühlmann, P., Peters, J., & Ernest, J. (2014) · The Annals of Statistics · doi:10.1214/14-aos1260 · Cited by 228 · see citing works
Self-citationPredicting causal effects in large-scale systems from observational data
Maathuis, M. H., Colombo, D., Kalisch, M., & Bühlmann, P. (2010) · Nature Methods · doi:10.1038/nmeth0410-247 · Cited by 217 · see citing works
Self-citationIdentifiability of Gaussian structural equation models with equal error variances
Peters, J., & Bühlmann, P. (2013) · Biometrika · doi:10.1093/biomet/ast043 · Cited by 215 · see citing works
Self-citationOn causal and anticausal learning
Janzing, D., Peters, J., Sgouritsa, E., Zhang, K., Mooij, J. M., & Schölkopf, B. (2012) · International Conference on Machine Learning · Cited by 214 · see citing works
Self-citationAdvances in Neural Information Processing Systems 21 (NIPS 2008)
Schweikert, G., Rätsch, G., Widmer, C., & Schölkopf, B. (2008) · Cited by 212 · see citing works
Causal Discovery from a Mixture of Experimental and Observational DataPreprint
Cooper, G. F., & Yoo, C. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1301.6686 · Cited by 162 · see citing works
Geometry of the faithfulness assumption in causal inference
Uhler, C., Raskutti, G., Bühlmann, P., & Yu, B. (2013) · The Annals of Statistics · doi:10.1214/12-aos1080 · Cited by 151 · see citing works
Self-citationCausal Discovery with Continuous Additive Noise Models
Peters, J., Mooij, J. M., Janzing, D., & Schölkopf, B. (2013) · UvA-DARE (University of Amsterdam) · doi:10.48550/arxiv.1309.6779 · Cited by 149 · see citing works
Self-citationAldrich, J. (1989) · Oxford Economic Papers · doi:10.1093/oxfordjournals.oep.a041889 · Cited by 131 · see citing works
Exact Bayesian structure learning from uncertain interventions
Eaton, D., & Murphy, K. P. (2007) · Cited by 128 · see citing works
$\ell_{0}$-penalized maximum likelihood for sparse directed acyclic graphs
van de Geer, S., & Bühlmann, P. (2013) · The Annals of Statistics · doi:10.1214/13-aos1085 · Cited by 117 · see citing works
Self-citationPC algorithm for nonparanormal graphical models
Harris, N., & Drton, M. (2013) · mediaTUM – the media and publications repository of the Technical University Munich (Technical University Munich) · doi:10.5555/2567709.2567770 · Cited by 107 · see citing works
Stekhoven, D. J., Moraes, I., Sveinbjörnsson, G., Hennig, L., Maathuis, M. H., & Bühlmann, P. (2012) · Bioinformatics · doi:10.1093/bioinformatics/bts523 · Cited by 71 · see citing works
Self-citationCausal Discovery from ChangesPreprint
Tian, J. W., & Pearl, J. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1301.2312 · Cited by 69 · see citing works
Hauser, A., & Bühlmann, P. (2014) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/rssb.12071 · Cited by 67 · see citing works
Self-citationTransportability from Multiple Environments with Limited Experiments: Completeness Results
Bareinboim, E., & Pearl, J. (2014) · Cited by 43 · see citing works
Cyclic Causal Discovery from Continuous Equilibrium Data
Mooij, J. M., & Heskes, T. (2013) · UvA-DARE (University of Amsterdam) · doi:10.48550/arxiv.1309.6849 · Cited by 41 · see citing works
Self-citationProbabilistic Soft Interventions in Conditional Gaussian Networks
Markowetz, F. M., Grossmann, S., & Spang, R. (2005) · MPG.PuRe (Max Planck Society) · Cited by 20 · see citing works
Controlling false positive selections in high-dimensional regression and causal inference
Bühlmann, P., Rütimann, P., & Kalisch, M. (2011) · Statistical Methods in Medical Research · doi:10.1177/0962280211428371 · Cited by 10 · see citing works
Self-citationAn improved map of conserved regulatory sites for Saccharomyces cerevisiae
MacIsaac, K. D., Wang, T., Gordon, D. B., Gifford, D. K., Stormo, G. D., & Fraenkel, E. (2006) · BMC Bioinformatics · doi:10.1186/1471-2105-7-113 · Cited by 9 · see citing works
Marginal integration for nonparametric causal inference
Ernest, J., & Bühlmann, P. (2015) · Electronic Journal of Statistics · doi:10.1214/15-ejs1075 · Cited by 8 · see citing works
Self-citation
Flagged first, then by citations
4 of the 53 references couldn’t be matched to a known paper.
Research works printed but not linked: 3
- Mooij JM, Cremers J (2015) An empirical study of one of the simplest causal prediction algorithms. Proceedings of the UAI 2015 Workshop on Advances in Causal Inference, CEUR Workshop Proceedings (CEUR-WS.org, Aachen, Germany), Vol 1504, pp 30-39.
- Peters J, Bühlmann P, Meinshausen N (2016) Causal inference using invariant pre- diction: Identification and confidence intervals (with discussion). arXiv:1501.01332. · arXiv
- Rothenhäusler D, Heinze C, Peters J, Meinshausen N (2015) Backshift: Learning causal cyclic graphs from unknown shift interventions. Advances in Neural Information Processing Systems 28 (NIPS) (Curran Associates, Red Hook, NY), pp 1513-1521.
Cited by
Sorted by citations
Inferring causation from time series in Earth system sciences
Runge, J., Bathiany, S., Bollt, E. M., Camps‐Valls, G., Coumou, D., Deyle, E. R., Glymour, C., Kretschmer, M., Mahecha, M. D., Muñoz-Marı́, J., et al. (2019) · Nature Communications · doi:10.1038/s41467-019-10105-3 · Cited by 996 · see citing works
Self-citationMachine learning in plant science and plant breeding
van Dijk, A. D. J., Kootstra, G., Kruijer, W., & de Ridder, D. (2020) · iScience · doi:10.1016/j.isci.2020.101890 · Cited by 324 · see citing works
Graph representation learning in biomedicine and healthcare
Li, M. M., Huang, K., & Zitnik, M. (2022) · Nature Biomedical Engineering · doi:10.1038/s41551-022-00942-x · Cited by 294 · see citing works
Income-based variation in Sustainable Development Goal interaction networks
Lusseau, D., & Mancini, F. (2019) · Nature Sustainability · doi:10.1038/s41893-019-0231-4 · Cited by 294 · see citing works
van Eeuwijk, F. A., Bustos-Korts, D., Millet, E. J., Boer, M. P., Kruijer, W., Thompson, A., Malosetti, M., Iwata, H., Quiroz, R., Kuppe, C., et al. (2019) · Plant Science · doi:10.1016/j.plantsci.2018.06.018 · Cited by 217 · see citing works
Invariance, Causality and Robustness
Bühlmann, P. (2020) · Statistical Science · doi:10.1214/19-sts721 · Cited by 127 · see citing works
Self-citationGene regulatory network reconstruction: harnessing the power of single-cell multi-omic data
Kim, D. J., Tran, A., Kim, H. J., Lin, Y., Yang, J. Y. H., & Yang, P. (2023) · npj Systems Biology and Applications · doi:10.1038/s41540-023-00312-6 · Cited by 110 · see citing works
Dealing with dimensionality: the application of machine learning to multi-omics data
Feldner-Busztin, D., Firbas, P., Edmunds, S. J., Boza, G., Racimo, F., Gopalakrishnan, S., Limborg, M. T., Lahti, L., & de Polavieja, G. G. (2023) · Bioinformatics · doi:10.1093/bioinformatics/btad021 · Cited by 101 · see citing works
Kumar, K. (2016) · Bond University Research Portal (Bond University) · doi:10.1111/rssb.12167 · Cited by 680 · see citing works
Interpretable machine learning for genomics
Watson, D. (2021) · Human Genetics · doi:10.1007/s00439-021-02387-9 · Cited by 78 · see citing works
Estimating networks of sustainable development goals
Ospina-Forero, L., Castañeda, G., & Guerrero, O. A. (2020) · Information & Management · doi:10.1016/j.im.2020.103342 · Cited by 70 · see citing works
Drawing causal inference from Big Data
Shiffrin, R. M. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1608845113 · Cited by 69 · see citing works
Advancing precision oncology with AI-powered genomic analysis
Srivastava, R. (2025) · Frontiers in Pharmacology · doi:10.3389/fphar.2025.1591696 · Cited by 72 · see citing works
Auxin-mediated protein depletion for metabolic engineering in terpene-producing yeast
Lu, Z. M., Peng, B., Ebert, B. E., Dumsday, G. J., & Vickers, C. E. (2021) · Nature Communications · doi:10.1038/s41467-021-21313-1 · Cited by 67 · see citing works
Deep learning of causal structures in high dimensions under data limitations
Lagemann, K., Lagemann, C., Taschler, B., & Mukherjee, S. (2023) · Nature Machine Intelligence · doi:10.1038/s42256-023-00744-z · Cited by 67 · see citing works
Causal network models of SARS-CoV-2 expression and aging to identify candidates for drug repurposing
Belyaeva, A., Cammarata, L. V., Radhakrishnan, A., Squires, C., Yang, K., Shivashankar, G. V., & Uhler, C. (2021) · Nature Communications · doi:10.1038/s41467-021-21056-z · Cited by 60 · see citing works
Learning causal networks with latent variables from multivariate information in genomic data
Verny, L., Sella, N., Affeldt, S., Singh, P. P., & Isambert, H. (2017) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1005662 · Cited by 63 · see citing works
Alphey, L., Brooks, T. M., Delborne, J., & Adams, J. S. (2019) · doi:10.2305/iucn.ch.2019.05.en · Cited by 62 · see citing works
Permutation-based Causal Inference Algorithms with InterventionsPreprint
Wang, Y., Solus, L., Yang, K., & Uhler, C. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1705.10220 · Cited by 59 · see citing works
Multiomic profiling of the liver across diets and age in a diverse mouse population
Williams, E. G., Pfister, N., Roy, S., Statzer, C., Haverty, J., Ingels, J. F., Bohl, C. J., Hasan, M., Čuklina, J., Bühlmann, P., et al. (2021) · Cell Systems · doi:10.1016/j.cels.2021.09.005 · Cited by 52 · see citing works
Self-citationOut of Distribution Generalization in Machine LearningPreprint
Arjovsky, M. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2103.02667 · Cited by 53 · see citing works
Causal discovery for the microbiome
Corander, J., Hanage, W. P., & Pensar, J. (2022) · The Lancet Microbe · doi:10.1016/s2666-5247(22)00186-0 · Cited by 51 · see citing works
Atmosphere–ocean–aerosol–chemistry–climate model SOCOLv4.0: description and evaluation
Sukhodolov, T., Egorova, T. A., Stenke, A., Ball, W. T., Brodowsky, C., Chiodo, G., Feinberg, A. I., Friedel, M., Karagodin‐Doyennel, A., Peter, T., et al. (2021) · Geoscientific model development · doi:10.5194/gmd-14-5525-2021 · Cited by 60 · see citing works
Causal inference in drug discovery and development
Michoel, T., & Zhang, J. D. (2023) · Drug Discovery Today · doi:10.1016/j.drudis.2023.103737 · Cited by 47 · see citing works
Gene regulatory networks in disease and ageing
Avila, P. U., Padvitski, T., Leote, A. C., Chen, H., Sáez-Rodríguez, J., Kann, M., & Beyer, A. (2024) · Nature Reviews Nephrology · doi:10.1038/s41581-024-00849-7 · Cited by 44 · see citing works
Molecular characterization of depression trait and state
Shukla, R., Newton, D. F., Sumitomo, A., Zare, H., McCullumsmith, R. E., Lewis, D. A., Tomoda, T., & Sibille, E. L. (2021) · Molecular Psychiatry · doi:10.1038/s41380-021-01347-z · Cited by 41 · see citing works
Learning stable and predictive structures in kinetic systems
Pfister, N., Bauer, S., & Peters, J. (2019) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1905688116 · Cited by 35 · see citing works
Self-citationIdentifying Best Interventions through Online Importance SamplingPreprint
Sen, R., Shanmugam, K., Dimakis, A. G., & Shakkottai, S. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1701.02789 · Cited by 35 · see citing works
AI-empowered perturbation proteomics for complex biological systems
Qian, L., Sun, R., Aebersold, R. H., Bühlmann, P., Sander, C., & Guo, T. (2024) · Cell Genomics · doi:10.1016/j.xgen.2024.100691 · Cited by 31 · see citing works
Self-citationRothenhaüsler, D., Bühlmann, P., & Meinshausen, N. (2019) · The Annals of Statistics · doi:10.1214/18-aos1732 · Cited by 32 · see citing works
Self-citationCausal Structure Learning: A Combinatorial Perspective
Squires, C., & Uhler, C. (2023) · Foundations of Computational Mathematics · doi:10.1007/s10208-022-09581-9 · Cited by 31 · see citing works
Sun, X., Zhang, J., & Nie, Q. H. (2021) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1008379 · Cited by 30 · see citing works
DCI: learning causal differences between gene regulatory networks
Belyaeva, A., Squires, C., & Uhler, C. (2021) · Bioinformatics · doi:10.1093/bioinformatics/btab167 · Cited by 28 · see citing works
A large-scale benchmark for network inference from single-cell perturbation data
Chevalley, M., Roohani, Y. H., Mehrjou, A., Leskovec, J., & Schwab, P. (2025) · Communications Biology · doi:10.1038/s42003-025-07764-y · Cited by 26 · see citing works
Magliacane, S., Claassen, T., & Mooij, J. M. (2016) · UvA-DARE (University of Amsterdam) · doi:10.48550/arxiv.1606.07035 · Cited by 26 · see citing works
Self-citationNetwork Modeling in Biology: Statistical Methods for Gene and Brain Networks
Wang, Y. X. R., Li, L., Li, J. J., & Huang, H. (2020) · Statistical Science · doi:10.1214/20-sts792 · Cited by 27 · see citing works
Granger causality analysis for calcium transients in neuronal networks, challenges and improvements
Chen, X., Ginoux, F., Tano, M. C., Mora, T., Walczak, A. M., & Wyart, C. (2023) · eLife · doi:10.7554/elife.81279 · Cited by 23 · see citing works
Causal Models for Dynamical Systems
Peters, J., Bauer, S., & Pfister, N. (2022) · ACM eBooks · doi:10.1145/3501714.3501752 · Cited by 23 · see citing works
Self-citationIn silico biological discovery with large perturbation models
Miladinovic, D., Höppe, T., Chevalley, M., Georgiou, A., Stuart, L., Mehrjou, A., Bantscheff, M., Schölkopf, B., & Schwab, P. (2025) · Nature Computational Science · doi:10.1038/s43588-025-00870-1 · Cited by 21 · see citing works
Inferring causal networks of dynamical systems through transient dynamics and perturbation
Stepaniants, G., Brunton, B. W., & Kutz, J. N. (2020) · Physical review. E · doi:10.1103/physreve.102.042309 · Cited by 19 · see citing works
Nozari, S., Pahlavan-Rad, M. R., Brungard, C., Heung, B., & Borůvka, L. (2024) · Soil and Water Research · doi:10.17221/119/2023-swr · Cited by 17 · see citing works
The search for causality: A comparison of different techniques for causal inference graphs.
Kossakowski, J. J., Waldorp, L., & van der Maas, H. L. J. (2021) · Psychological Methods · doi:10.1037/met0000390 · Cited by 17 · see citing works
Jiang, X., & Zhang, X. (2022) · BMC Bioinformatics · doi:10.1186/s12859-022-04696-w · Cited by 17 · see citing works
Causal Learning From Predictive Modeling for Observational Data
Ramanan, N., & Natarajan, S. (2020) · Frontiers in Big Data · doi:10.3389/fdata.2020.535976 · Cited by 16 · see citing works
Knowledge of the perturbation design is essential for accurate gene regulatory network inference
Seçi̇lmi̇ş, D., Hillerton, T., Tjärnberg, A., Nelander, S., Nordling, T. E. M., & Sonnhammer, E. L. L. (2022) · Scientific Reports · doi:10.1038/s41598-022-19005-x · Cited by 14 · see citing works
Permutation-Based Causal Structure Learning with Unknown Intervention TargetsPreprint
Squires, C., Wang, Y., & Uhler, C. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1910.09007 · Cited by 16 · see citing works
Comparative analysis of integrative classification methods for multi-omics data
Novoloaca, A., Broc, C., Belœil, L., Yu, W., & Becker, J. (2024) · Briefings in Bioinformatics · doi:10.1093/bib/bbae331 · Cited by 14 · see citing works
Maugis, P.-A. (2016) · Journal of Forensic and Legal Medicine · doi:10.1016/j.jflm.2016.09.005 · Cited by 13 · see citing works
A Bayesian Approach for Estimating Causal Effects from Observational Data
Pensar, J., Talvitie, T., Hyttinen, A., & Koivisto, M. (2020) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v34i04.5988 · Cited by 13 · see citing works
Liu, E., Li, J., Kinnebrew, G. H., Zhang, P., Zhang, Y., Cheng, L., & Li, L. (2019) · IEEE Transactions on Computational Biology and Bioinformatics · doi:10.1109/tcbb.2019.2944826 · Cited by 12 · see citing works
Mapping connections in signaling networks with ambiguous modularity
Lill, D., Rukhlenko, O. S., Elwee, A. J. M., Kashdan, E., Timmer, J., & Kholodenko, B. Ν. (2019) · npj Systems Biology and Applications · doi:10.1038/s41540-019-0096-1 · Cited by 12 · see citing works
Identifiability and experimental design in perturbation studies
Gross, T., & Blüthgen, N. (2020) · Bioinformatics · doi:10.1093/bioinformatics/btaa404 · Cited by 11 · see citing works
Genomics- and Machine Learning-Accelerated Discovery of Biocontrol Bacteria
Biggs, M. B., Craig, K., Gachango, E., Ingham, D. J., & Twizeyimana, M. (2021) · Phytobiomes Journal · doi:10.1094/pbiomes-01-21-0003-r · Cited by 11 · see citing works
Association, Correlation, and Causation Among Transport Variables of PM2.5
Zhao, Z.-D., Zhao, N., & Ying, N. (2021) · Frontiers in Physics · doi:10.3389/fphy.2021.684104 · Cited by 11 · see citing works
Reconstruction of Networks with Direct and Indirect Genetic Effects
Kruijer, W., Behrouzi, P., Bustos‐Korts, D., Rodríguez‐Álvarez, M. X., Mahmoudi, S. M., Yandell, B. S., Wit, E. C., & van Eeuwijk, F. A. (2020) · Genetics · doi:10.1534/genetics.119.302949 · Cited by 11 · see citing works
Do we actually need aging clocks?
Kriukov, D. V., Efimov, E., Gelfand, M. S., Moskalev, A., & Khrameeva, E. E. (2025) · npj Aging · doi:10.1038/s41514-025-00312-2 · Cited by 13 · see citing works
Generalism drives abundance: A computational causal discovery approach
Song, C., Simmons, B. I., Fortin, M., & Gonzalez, A. (2022) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1010302 · Cited by 10 · see citing works
Cellular, molecular, and therapeutic characterization of pilocarpine-induced temporal lobe epilepsy
Henkel, N., Smail, M. A., Wu, X., Enright, H. A., Fischer, N. O., Eby, H., Carney, P. R., McCullumsmith, R. E., & Shukla, R. (2021) · Scientific Reports · doi:10.1038/s41598-021-98534-3 · Cited by 10 · see citing works
Distributional robustness of K-class estimators and the PULSE
Jakobsen, M. E., & Peters, J. (2021) · Econometrics Journal · doi:10.1093/ectj/utab031 · Cited by 15 · see citing works
Self-citationGraphical continuous Lyapunov models
Varando, G., & Hansen, N. R. (2020) · Research at the University of Copenhagen (University of Copenhagen) · doi:10.48550/arxiv.2005.10483 · Cited by 9 · see citing works
Driver versus navigator causation in biology: the case of insulin and fasting glucose
Diwekar-Joshi, M., & Watve, M. (2020) · PeerJ · doi:10.7717/peerj.10396 · Cited by 7 · see citing works
Environment invariant linear least squares
Fan, J., Fang, C., Gu, Y., & Zhang, T. (2024) · The Annals of Statistics · doi:10.1214/24-aos2435 · Cited by 6 · see citing works
Khelfaoui, I., Wang, W., Shehata, A. I., Meskher, H., Basuini, M. F. E., Mohamed, A. M. A., Abouelenein, M. F., Degha, H. E., Alhoshy, M., Teiba, I. I., et al. (2026) · Frontiers in Microbiology · doi:10.3389/fmicb.2026.1705116 · Cited by 6 · see citing works
Model-Based Causal Feature Selection for General Response Types
Kook, L., Saengkyongam, S., Lundborg, A. R., Hothorn, T., & Peters, J. (2024) · Journal of the American Statistical Association · doi:10.1080/01621459.2024.2395588 · Cited by 6 · see citing works
Self-citationLocal Causal Discovery in Multiple Manipulated Datasets
Wang, Y., Cao, F., Yu, K., & Liang, J. (2022) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3139389 · Cited by 6 · see citing works
eQTLs as causal instruments for the reconstruction of hormone linked gene networks
Bankier, S., & Michoel, T. (2022) · Frontiers in Endocrinology · doi:10.3389/fendo.2022.949061 · Cited by 6 · see citing works
Jenkins, D. (2024) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2023.0045 · Cited by 6 · see citing works
Sample selection bias in evaluation of prediction performance of causal models
Long, J. P., & Ha, M. J. (2021) · Statistical Analysis and Data Mining The ASA Data Science Journal · doi:10.1002/sam.11559 · Cited by 6 · see citing works
Silakabattini, K., Suryadevara, V., Vidyadhara, S., Kumar, Y. A., Chandra, S. R., & Kumar, C. H. S. (2026) · Biosciences Biotechnology Research Asia · doi:10.13005/bbra/3483 · Cited by 5 · see citing works
Higher-Order Least Squares: Assessing Partial Goodness of Fit of Linear Causal Models
Schultheiss, C., Bühlmann, P., & Yuan, M. (2023) · Journal of the American Statistical Association · doi:10.1080/01621459.2022.2157728 · Cited by 5 · see citing works
Self-citationBlum, C. F., Heramvand, N., Khonsari, A. S., & Kollmann, M. (2018) · Nature Communications · doi:10.1038/s41467-017-02489-x · Cited by 5 · see citing works
Identifying Direct Causes Using Intervened Target Variable
Du, K., Xiang, Y., & Soloveychik, I. (2023) · Asilomar Conference on Signals, Systems and Computers (ACSSC) · doi:10.1109/ieeeconf59524.2023.10476912 · Cited by 5 · see citing works
Empirically classifying network mechanisms
Langendorf, R. E., & Burgess, M. G. (2021) · Scientific Reports · doi:10.1038/s41598-021-99251-7
Efficient Causal Structure Learning from Multiple Interventional Datasets with Unknown Targets
Wang, Y., Cao, F., Yu, K., & Liang, J. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i8.20836 · Cited by 5 · see citing works
Psychological Perturbation Data on Attitudes Towards the Consumption of Meat
Hoekstra, R. H. A., Kossakowski, J. J., & van der Maas, H. L. J. (2018) · Journal of Open Psychology Data · doi:10.5334/jopd.37 · Cited by 5 · see citing works
Toward causality and improving external validity
Bühlmann, P. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2018002117 · Cited by 5 · see citing works
Self-citationLearning DAGs without imposing acyclicityPreprint
Varando, G. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2006.03005 · Cited by 5 · see citing works
Li, A., Li, M., Fei, R., Mallik, S., Hu, B., & Yu, Y. (2024) · Interdisciplinary Sciences Computational Life Sciences · doi:10.1007/s12539-024-00667-2 · Cited by 4 · see citing works
White, A., & Vignes, M. (2018) · Methods in molecular biology · doi:10.1007/978-1-4939-8882-2_5 · Cited by 4 · see citing works
Cost-effectively Identifying Causal Effects When Only Response Variable is Observable.
Wang, T.-Z., Wu, X.-Z., Huang, S.-J., & Zhou, Z. (2020) · International Conference on Machine Learning · Cited by 4 · see citing works
Perturbations and Causality in Gaussian Latent Variable ModelsPreprint
Taeb, A., & Bühlmann, P. (2021) · arXiv (Cornell University) · Cited by 4 · see citing works
Self-citationFrom correlation to causation using directed topological overlap matrix: Applications in genomics
Alipourfard, B., & Gao, J. (2023) · Methods · doi:10.1016/j.ymeth.2023.09.005 · Cited by 3 · see citing works
Estimating causal effects with hidden confounding using instrumental variables and environments
Long, J. P., Zhu, H., Do, K.-A., & Ha, M. J. (2023) · Electronic Journal of Statistics · doi:10.1214/23-ejs2160 · Cited by 3 · see citing works
Causality research based on phase space reconstruction
Hu, L., Sunu, Z., She, H., Fan, B., Ma, J., & Da, C. (2024) · PLoS ONE · doi:10.1371/journal.pone.0313990 · Cited by 3 · see citing works
Causal Graph Identification Under Soft Intervention
Peng, C., & Mitra, U. (2025) · IEEE International Symposium on Information Theory (ISIT) · doi:10.1109/isit63088.2025.11195567 · Cited by 3 · see citing works
Li, X., Xie, S., McColgan, P., Tabrizi, S. J., Scahill, R. I., Zeng, D., & Wang, Y. (2018) · Frontiers in Genetics · doi:10.3389/fgene.2018.00430 · Cited by 3 · see citing works
Kossakowski, J. J., van Oudheusden, L. J. B., McNally, R. J., Riemann, B. C., Waldorp, L., & van der Maas, H. L. J. (2019) · doi:10.31234/osf.io/ed2v5 · Cited by 3 · see citing works
Zhu, H., Asiaee, A., Azinfar, L., Li, J., Liang, H., Irajizad, E., Do, K.-A., & Long, J. P. (2025) · Briefings in Bioinformatics · doi:10.1093/bib/bbaf426 · Cited by 2 · see citing works
Discovering Candidate Anti-Aging Perturbations Using a Foundation Model for Gene Expression
Tadevosyan, E., Efimov, E., Kriukov, D. V., & Khrameeva, E. E. (2025) · International Journal of Molecular Sciences · doi:10.3390/ijms262411977 · Cited by 2 · see citing works
Exact Learning of Multitrees and Almost-Trees Using Path Queries
Afshar, R., & Goodrich, M. T. (2022) · Lecture notes in computer science · doi:10.1007/978-3-031-20624-5_18 · Cited by 2 · see citing works
Model selection over partially ordered sets
Taeb, A., Bühlmann, P., & Chandrasekaran, V. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2314228121 · Cited by 2 · see citing works
Self-citationMining Invariance from Nonlinear Multi-Environment Data: Binary Classification
Goddard, A. V., Du, K., & Yu, X. (2024) · IEEE International Symposium on Information Theory (ISIT) · doi:10.1109/isit57864.2024.10619423 · Cited by 2 · see citing works
Systematizing cellular complexity: A Hilbertian approach to biological problems
Dehghani, N. (2024) · PLOS complex systems. · doi:10.1371/journal.pcsy.0000013 · Cited by 2 · see citing works
Boosting Local Causal Discovery in High-Dimensional Expression Data
Versteeg, P., & Mooij, J. M. (2019) · IEEE International Conference on Bioinformatics and Biomedicine (BIBM) · doi:10.1109/bibm47256.2019.8983232 · Cited by 2 · see citing works
Self-citationPerturbation graphs, invariant prediction and causal relations in psychologyPreprint
Waldorp, L., Kossakowski, J. J., & van der Maas, H. L. J. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2109.00404 · Cited by 2 · see citing works
Variance Minimization in the Wasserstein Space for Invariant Causal PredictionPreprint
Martinet, G., Strzalkowski, A. J., & Engelhardt, B. E. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2110.07064 · Cited by 2 · see citing works
A Fast Non-parametric Approach for Causal Structure Learning in PolytreesPreprint
Azadkia, M., Taeb, A., & Bühlmann, P. (2021) · arXiv (Cornell University) · Cited by 2 · see citing works
Self-citationQuantum causal inference in the presence of hidden common causes: An entropic approach
Javidian, M. A., Aggarwal, V., & Jacob, Z. (2022) · Physical Review A · doi:10.1103/physreva.106.062425 · Cited by 1 · see citing works
Perturbation graphs, invariant causal prediction and causal relations in psychology
Waldorp, L., Kossakowski, J. J., & van der Maas, H. L. J. (2024) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/bmsp.12361 · Cited by 1 · see citing works
Almutawif, Y. A., & Eid, H. M. A. (2026) · Archives of Microbiology · doi:10.1007/s00203-026-05051-w · Cited by 1 · see citing works
- Authors
- Meinshausen, N., Hauser, A., Mooij, J. M., Peters, J., Versteeg, P., & Bühlmann, P.
- Affiliations
- ETH Zurich (CH)
- Bern University of Applied Sciences (CH)
- University of Amsterdam (NL)
- Max Planck Institute for Intelligent Systems (DE)
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2016-07-05
- Volume
- 113
- Issue
- 27
- Pages
- 7361-7368
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC4941490
- OpenAlex
- W2460828264
- Cited by
- 140
- References
- 53
- Citations by year
- 2026: 10 · 2025: 11 · 2024: 13 · 2023: 14 · 2022: 18 · 2021: 28 · 2020: 18 · 2019: 11 · 2018: 6 · 2017: 5 · 2016: 6
- FWCI
- 4.85
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- UvA-DARE (University of Amsterdam) (submittedVersion, other-oa)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (VIDI grant 639.072.410)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Bioinformatics and Genomic Networks
- Keywords
- causal inference, gene deletion, Saccharomyces cerevisiae, causal discovery, intervention prediction, identifiability
- MeSH terms
- Algorithms, Flow Cytometry, Models, Genetic, Saccharomyces cerevisiae, Software, Statistics as Topic, Gene Deletion
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review