The DOI matches its Crossref record; 91 of the 91 references it cites were found in a registry or an index.
A range of complex probabilistic models for RNA secondary structure prediction that includes the nearest-neighbor model and more
Open accessAbstract
The standard approach for single-sequence RNA secondary structure prediction uses a nearest-neighbor thermodynamic model with several thousand experimentally determined energy parameters. An attractive alternative is to use statistical approaches with parameters estimated from growing databases of structural RNAs. Good results have been reported for discriminative statistical methods using complex nearest-neighbor models, including CONTRAfold, Simfold, and ContextFold. Little work has been reported on generative probabilistic models (stochastic context-free grammars [SCFGs]) of comparable complexity, although probabilistic models are generally easier to train and to use. To explore a range of probabilistic models of increasing complexity, and to directly compare probabilistic, thermodynamic, and discriminative approaches, we created TORNADO, a computational tool that can parse a wide spectrum of RNA grammar architectures (including the standard nearest-neighbor model and more) using a generalized super-grammar that can be parameterized with probabilities, energies, or arbitrary scores. By using TORNADO, we find that probabilistic nearest-neighbor models perform comparably to (but not significantly better than) discriminative methods. We find that complex statistical models are prone to overfitting RNA structure and that evaluations should use structurally nonhomologous training and test data sets. Overfitting has affected at least one published method (ContextFold). The most important barrier to improving statistical approaches for RNA secondary structure prediction is the lack of diversity of well-curated single-sequence RNA secondary structures in current RNA databases.
Overview
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
Verification
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?
The cited source says what the claim attributes to it.
In the citing paper
“Thus, the standard RNA secondary structure prediction problem can be cast as a parsing problem: given the above SCFG and an input RNA sequence, find the minimum-weight derivation in that can generate the sequence. This can be solved by the classical CKY algorithm from computational linguistics41–43.”
From Algorithm for optimized mRNA design improves stability and immunogenicity (2023) · cites this paper as [43]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Mfold web server for nucleic acid folding and hybridization prediction
Zuker, M. (2003) · Nucleic Acids Research · doi:10.1093/nar/gkg595 · Cited by 13,404
Conditional Random Fields: Probabilistic Models for Segmenting and Labeling Sequence Data
Lafferty, J., McCallum, A., & Pereira, F. C. N. (2001) · ScholarlyCommons (University of Pennsylvania) · Cited by 12,935
Introduction to automata theory, languages and computation
(1981) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(81)90068-9 · Cited by 10,781
Mathews, D. H., Sabina, J., Zuker, M., & Turner, D. H. (1999) · Journal of Molecular Biology · doi:10.1006/jmbi.1999.2700 · Cited by 3,795
Optimal computer folding of large RNA sequences using thermodynamics and auxiliary information
Zuker, M., & Stiegler, P. (1981) · Nucleic Acids Research · doi:10.1093/nar/9.1.133 · Cited by 3,604
Biological sequence analysis probabilistic models of proteins and nucleic acids
Durbin, R. M., Eddy, S. R., Krogh, A., & Mitchison, G. (1998) · Cited by 3,565
Self-citationThe Complete Atomic Structure of the Large Ribosomal Subunit at 2.4 Å Resolution
Ban, N., Nissen, P., Hansen, J., Moore, P. B., & Steitz, T. A. (2000) · Science · doi:10.1126/science.289.5481.905 · Cited by 3,327
Durbin, R. M., Eddy, S. R., Krogh, A., & Mitchison, G. (1998) · Cambridge University Press eBooks · doi:10.1017/cbo9780511790492 · Cited by 3,255
Self-citationVienna RNA secondary structure server
Hofacker, I. L. (2003) · Nucleic Acids Research · doi:10.1093/nar/gkg599 · Cited by 2,362
Fast folding and comparison of RNA secondary structures
Hofacker, I. L., Fontana, W., Stadler, P. F., Bonhoeffer, S., Tacker, M., & Schuster, P. M. (1994) · Monatshefte für Chemie - Chemical Monthly · doi:10.1007/bf00818163 · Cited by 2,314
Flagged first, then by citations
Cited by
Sorted by citations
Items 101–142 of 142
Wang, X. R., Zhang, Y., Yang, L., & Wang, R. (2025) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2025.112648 · Cited by 1
Asymptotic Number of Hairpins of Saturated RNA Secondary Structures
Clote, P., Kranakis, E., & Kriz̧anc, D. (2013) · Bulletin of Mathematical Biology · doi:10.1007/s11538-013-9899-1 · Cited by 1
ML-Based RNA Secondary Structure Prediction Methods: A Survey
Zhao, Q., Chen, J., Zhao, Z., Mao, Q., Shi, H., & Fan, X. (2024) · AI medicine. · doi:10.53941/aim.2024.100006 · Cited by 1
Gaonac’h-Lovejoy, V., Mattick, J. S., Sauvageau, M., & Smith, M. A. (2025) · Nucleic Acids Research · doi:10.1093/nar/gkaf780 · Cited by 1
Neoantigen mRNA Cancer Vaccines: How Deep Learning Is Advancing Design and Breaking Barriers
Ismail, S., & Barakat, K. (2025) · IntechOpen eBooks · doi:10.5772/intechopen.1011567 · Cited by 1
ADPfusion Ecient Dynamic Programming over Sequence Data
Honer, C. (2013) · Cited by 1
Accuracy of RNA Structure Prediction Depends on the Pseudoknot Grammar
Eggers, D., zu Siederdissen, C. H., & Stadler, P. F. (2022) · Lecture notes in computer science · doi:10.1007/978-3-031-21175-1_3 · Cited by 1
Evolutionary Conservation of RNA Secondary Structure
Costa, M. B. W. (2023) · Methods in molecular biology · doi:10.1007/978-1-0716-2768-6_8 · Cited by 1
IncMD: Incremental trie-based structural motif discovery algorithm
Badr, G. H., Al-Turaiki, I. M., Turcotte, M., & Mathkour, H. I. (2014) · Journal of Bioinformatics and Computational Biology · doi:10.1142/s0219720014500279 · Cited by 1
The Application of Grammar Space Entropy in RNA Secondary Structure Modeling
Manzourolajdad, A. (2016) · Elsevier eBooks · doi:10.1016/b978-0-12-804203-8.00009-2 · Cited by 1
zu Siederdissen, C. H. (2012) · ACM SIGPLAN Notices · doi:10.1145/2398856.2364559 · Cited by 2
Iwakiri, J., & Asai, K. (2018) · Elsevier eBooks · doi:10.1016/b978-0-12-809633-8.20286-0 · Cited by 1
Mittal, A., & Mathews, D. H. (2025) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2025.07.23.666478 · Cited by 1
RNA Structure Prediction (Energy Minimization)
Cannone, J. J., & Gutell, R. R. (2004) · Dictionary of Bioinformatics and Computational Biology · doi:10.1002/9780471650126.dob0635.pub2
Exact Learning of RNA Energy Parameters from Structure
Chitsaz, H., & Aminisharifabad, M. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-05269-4_5
Rodriguez, L. F. R., & Cortés-Mancera, F. (2013) · Symposium on Image, Signal Processing and Artificial Vision (STSIVA) · doi:10.1109/stsiva.2013.6644925
Biological sequence analysis using probabilistic logic generalizations of hidden Markov Models
Mørk, S. (2013) · RUCforsk (Roskilde University)
A novel structural measure separating non-coding RNAs from genomic backgrounds
Wang, Y., Malmberg, R. L., & Cai, L. (2015) · Tsinghua Science & Technology · doi:10.1109/tst.2015.7297746
Grammatical Approaches to Problems in RNA Bioinformatics
zu Siederdissen, C. H. (2013)
RNA Secondary Structure Prediction using Machine Learning: A Review
Mittal, S., & Hasija, Y. (2020) · International Conference on Computing, Communication and Automation · doi:10.1109/iccca49541.2020.9250877
Do Empirical and Abstract Shannon Entropies Converge in Value? A Case in RNA Molecular Structure
Manzourolajdad, A. (2020) · Intermountain Engineering, Technology and Computing (IETC) · doi:10.1109/ietc47856.2020.9249220
Advancements in RNA Secondary Structure Prediction using Machine Learning Methods
Mittal, S., & Hasija, Y. (2020) · International Conference for Innovation in Technology (INOCON) · doi:10.1109/inocon50539.2020.9298293
Integrated pretraining with evolutionary information to improve RNA secondary structure predictionPreprint
Yan, Z., Hamilton, W. L., & Blanchette, M. (2022) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2022.01.27.478113
Secondary structural characterization of non-coding RNAs
O’Leary, C. A., Rouse, W. B., Peterson, J. M., Tompkins, V. S., Andrews, R. J., McCown, P. J., & Moss, W. N. (2023) · Elsevier eBooks · doi:10.1016/b978-0-323-90406-3.00001-4
Attention-Based RNA Secondary Structure Prediction
Hu, L., Yang, X., Si, Y., Chen, J., Ye, X., Wang, Z., & Wu, F. Q. (2024) · Lecture notes in computer science · doi:10.1007/978-981-99-9119-8_36
(2024) · Frontiers research topics · doi:10.3389/978-2-8325-4801-1
DecoyFinder: Identification of Contaminants in Sets of Homologous RNA SequencesPreprint
Zhu, M., Zuber, J., Tan, Z., Gaurav Sharma, A., & Mathews, D. H. (2024) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2024.10.12.618037
Iwakiri, J., & Asai, K. (2019) · Elsevier eBooks · doi:10.1016/b978-0-323-95502-7.00324-9
Lin, H., Hou, D., Li, Z., Wang, S., Liu, Y., Gu, J., Qian, J., Yin, R., Zhao, H., Wang, S., et al. (2025) · Molecules · doi:10.3390/molecules30163447
When Does Additional Information Improve Accuracy of RNA Secondary Structure Prediction?
Rose, L., Giraldo, L. G. S., Nguyen, D. D., Wheeler, M., & Murrugarra, D. (2025) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.5c01231
RNA secondary structure prediction: a practical guide
Mao, L., & Mathews, D. H. (2025) · Elsevier eBooks · doi:10.1016/b978-0-323-99507-8.00005-6
Gray, M., Chester, S., & Jabbari, H. (2022) · Figshare · doi:10.6084/m9.figshare.19703849
Gray, M., Chester, S., & Jabbari, H. (2022) · Figshare · doi:10.6084/m9.figshare.19703840
Gray, M., Chester, S., & Jabbari, H. (2022) · Figshare · doi:10.6084/m9.figshare.19703846
Gray, M., Chester, S., & Jabbari, H. (2022) · Figshare · doi:10.6084/m9.figshare.19703843
ShapeRNA: an integrated web server for RNA secondary structure, ensemble, and functional analysis
Liang, J., Zhou, M., Xie, M., & Song, Q. (2026) · Nucleic Acids Research · doi:10.1093/nar/gkag387
Bioinformatic Tools and Long Non-coding RNA Databases
Singh, D., Ghosh, A., Mathur, S., Sinku, S. S., & Datta, B. (2026) · Epigenetics and human health · doi:10.1007/978-3-032-19668-2_2
UFold-X: an enhanced Dual & Dynamic U-Mamba model for long-range RNA secondary structure prediction
Fu, L., Li, J., Wang, R., Sun, H., & Wu, D. (2026) · Nucleic Acids Research · doi:10.1093/nar/gkag887
Markov models of SHAPE data improve secondary structure predictionPreprint
Yang, Y., Mathews, D. H., & Aviran, S. (2026) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.64898/2026.09.10.750790
RiboGRAM learns multi-scale non-coding RNA grammar for structural and regulatory inferencePreprint
Wang, H., Chen, Z., Huang, H., Li, S., Jäschke, A., Ye, Q., & Zhang, Y. (2026) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.64898/2026.10.12.758266
LIMBER: A Hybrid RNA Foundation Model for Predicting and Understanding RNA Structure and FunctionPreprint
Wang, Z., Qiu, Y., He, Y., THOMPSON, I., Wang, H., Porter, A., & Li, A. (2026) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.64898/2026.10.28.762670
Metadata
- Authors
- Rivas, E., Lang, R., & Eddy, S. R.
- Affiliations
- Howard Hughes Medical Institute (US)
- Xavier University of Louisiana (US)
- Venue
- RNA
- Publisher
- Cold Spring Harbor Laboratory
- Published
- 2011-12-22
- Volume
- 18
- Issue
- 2
- Pages
- 193-212
- ISSN
- 1355-8382 (ISSN-L)
- 1469-9001
- PMC
- PMC3264907
- OpenAlex
- W2109638684
- Cited by
- 145
- References
- 91
- Citations by year
- 2026: 9 · 2025: 20 · 2024: 16 · 2023: 15 · 2022: 17 · 2021: 5 · 2020: 4 · 2019: 5 · 2018: 5 · 2017: 3 · 2016: 6 · 2015: 7 · 2014: 7 · 2013: 17 · 2012: 7
- FWCI
- 4.13
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- other-oa
- Locations
- RNA (publishedVersion, other-oa)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- HighWire Press Open Archive (submittedVersion)
- Funders
- Howard Hughes Medical Institute
- National Institutes of Health
- National Institute of General Medical Sciences (R01GM070538)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Phylogenetic Studies
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Keywords
- RNA secondary structure prediction, probabilistic models, probabilistic context-free grammars, probabilistic generative models, overfitting, tornadoes, structural homology
- MeSH terms
- Algorithms, Models, Theoretical, Nucleic Acid Conformation, RNA, Software, Thermodynamics, Models, Statistical, Computational Biology, RNA Folding
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