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Because of the key part that miRNAs play, understanding the correct regulatory role of miRNAs in diverse patho-physiological conditions is of great interest. Although it is known that miRNAs act combinatorially to regulate genes, precise identification of miRNA-gene interactions and their specific functional roles in regulatory comodules remains a challenge. We developed<jats:sc>Theia<\/jats:sc>, an effective method for simultaneously predicting miRNA-gene interactions and regulatory comodules, which group functionally related miRNAs and genes via non-negative matrix factorization (NMF).<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>We apply<jats:sc>Theia<\/jats:sc>to RNA sequencing data from breast invasive carcinoma samples and demonstrate its effectiveness in discovering biologically significant regulatory comodules that are significantly enriched in spatial miRNA clusters, biological pathways, and various cancers.<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusions<\/jats:title><jats:p><jats:sc>Theia<\/jats:sc>is a theoretically rigorous optimization algorithm that simultaneously predicts the strength and direction (i.e., up-regulation or down-regulation) of the effect of modules of miRNAs on a gene. We posit that if<jats:sc>Theia<\/jats:sc>is capable of recovering known clusters of genes and miRNA, then the clusters found by our method not previously identified by literature are also likely to have biological significance. We believe that these novel regulatory comodules found by our method will be a springboard for further research into the specific functional roles of these new functional ensembles of miRNAs and genes,especially those related to diseases like breast cancer.<\/jats:p><\/jats:sec>","DOI":"10.1186\/s12859-021-04151-2","type":"journal-article","created":{"date-parts":[[2021,5,10]],"date-time":"2021-05-10T16:04:10Z","timestamp":1620662650000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Simultaneous learning of individual microRNA-gene interactions and regulatory comodules"],"prefix":"10.1186","volume":"22","author":[{"given":"Michael","family":"Roth","sequence":"first","affiliation":[]},{"given":"Pranjal","family":"Jain","sequence":"additional","affiliation":[]},{"given":"Jinkyu","family":"Koo","sequence":"additional","affiliation":[]},{"given":"Somali","family":"Chaterji","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,5,10]]},"reference":[{"issue":"5","key":"4151_CR1","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1016\/0092-8674(93)90529-Y","volume":"75","author":"RC Lee","year":"1993","unstructured":"Lee RC, Feinbaum RL, Ambros V. 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