2018
DOI: 10.2217/bmm-2018-0305
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An Accurate Regression of Developmental Stages for Breast Cancer Based on Transcriptomic Biomarkers

Abstract: Aim: Breast cancers at different stages have tremendous differences on both phenotypic and molecular patterns. The developmental stage is an essential factor in the clinical decision of treatment plans, but was usually formulated as a classification problem, which ignored the consecutive relationships among them. Materials & methods: This study proposed a regression-based procedure to detect the stage biomarkers of breast cancers. Biomarkers were detected by the Lasso and Ridge algorithms. Results & co… Show more

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Cited by 11 publications
(11 citation statements)
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“…Ridge regression (RR) is a biased estimation regression method for collinear data analysis, which is an improvement of the least square estimation method [45][46][47][48][49][50]. It gives up the unbiased advantage of the least square and gains the stability of the regression coefficient at the cost of losing part of the information and reducing the fitting accuracy [48]. The multiple regression model can be expressed as follows:…”
Section: Ridge Regressionmentioning
confidence: 99%
See 1 more Smart Citation
“…Ridge regression (RR) is a biased estimation regression method for collinear data analysis, which is an improvement of the least square estimation method [45][46][47][48][49][50]. It gives up the unbiased advantage of the least square and gains the stability of the regression coefficient at the cost of losing part of the information and reducing the fitting accuracy [48]. The multiple regression model can be expressed as follows:…”
Section: Ridge Regressionmentioning
confidence: 99%
“…If the independent variables have multiple collinearities, the matrix X T X is singular and the eigenvalue is very small; this causes the elements on the diagonal of the matrix X T X −1 to be very large and makes the parameter estimation extremely unstable [48].…”
Section: Ridge Regressionmentioning
confidence: 99%
“…One more redundancy-removal step was conducted to further refine the feature subset obtained in the above step. The iterative exclusion of the feature with the least performance decrease was carried out, which was the same as the backFS strategy in the other studies (Feng et al, 2019;Zhang et al, 2019). The performance was calculated by the 10-fold cross validation strategy.…”
Section: Feature Selection Algorithm Ageguessmentioning
confidence: 99%
“…The proposed algorithm AgeGuess further removed the redundancies in the methylated features by the function backFS (Feng et al, 2019;Zhang et al, 2019). The 750 methylation features chosen in the above step was iteratively evaluated and one feature was removed per iteration if its removal generated the least contribution to the age prediction performance metrics EI.…”
Section: Optimizing the Proposed Algorithm Ageguessmentioning
confidence: 99%
“…These measurements were used in various prediction models like the DNA and RNA functional elements (He et al, 2018;Feng et al, 2019). And they were calculated using the 10-fold cross-validation (10FCV) strategy as similar in Ye et al (2017) and Zhao et al (2018).…”
Section: Performance Measurementsmentioning
confidence: 99%