Methods For Determining Disease Risk Combining Downsampling of Class-Imbalanced Sets With Survival Analysis
A method for downsampling class-imbalanced sets with survival analysis comprising: acquiring a class-imbalanced data set, wherein the class-imbalanced data set comprises biological data from a plurality of subjects, wherein the biological data of each subject includes an observation, a time value, and a plurality of clinical measurements, and wherein the biological data is categorized as being part of a majority data class or a minority data class, wherein the majority data class has a greater number of observations than the minority data class; downsampling the class-imbalanced data set, wherein the downsampling results in the majority data class having an equivalent or substantially equivalent number of observations as the minority data class; and performing cross-validation on the downsampled data set with a survival analysis to generate a survival model, wherein the observation comprises an event or no event at a specific time value.
1 . A method comprising:
a) acquiring a class-imbalanced data set, wherein the class-imbalanced data set comprises biological data from a plurality of subjects, wherein the biological data of each subject includes an observation, a time value, and a plurality of clinical measurements, and wherein the biological data is categorized as being part of a majority data class or a minority data class, wherein the majority data class has a greater number of observations than the minority data class;
b) downsampling the class-imbalanced data set to generate a downsampled data set, wherein the downsampling results in the majority data class having an equivalent or substantially equivalent number of observations as the minority data class; and
c) performing cross-validation on the downsampled data set with a survival analysis to generate a survival model;
wherein the observation comprises an event or no event at a specific time value, wherein an AUC, sensitivity, specificity, and/or C-index of the survival model is closer to 1 than a AUC, sensitivity, specificity, and/or C-index of a survival model where the class-imbalanced data set was not downsampled prior to the survival analysis.
2 . (canceled)
3 . The method of claim 1 , wherein the class-imbalanced data set is a survival data set.
4 . The method of claim 1 , wherein the event is a disease, disorder, or condition of a subject.
5 . The method of claim 1 , wherein the survival analysis is selected from the group consisting of a Cox proportional hazard analysis, a random forest analysis, an accelerated failure time analysis, and any combination thereof.
6 . The method of claim 5 , further comprising an elastic net penalty.
7 . The method of claim 1 , wherein the cross-validation is at least a 2-fold, 3-fold, 4-fold, 5-fold, 6-fold, 7-fold, 8-fold, 9-fold, 10-fold, 11-fold, 12-fold, 13-fold, 14-fold, 15-fold, 16-fold, 17-fold, 18-fold, 19-fold, or 20-fold cross-validation.
8 . The method of claim 1 , wherein the survival model comprises from 5 to 1,000 features, wherein each feature is selected from the group consisting of a protein measurement, a clinical factor, and a combination thereof.
9 . The method of claim 8 , wherein the clinical factor is selected from the group consisting of age, weight, blood pressure, height, BMI, cholesterol, sex, and a combination thereof.
10 . The method of claim 1 , wherein the clinical measurements are selected from proteomic measurements, genomic measurements, transcriptome measurements, metabolomics measurements, or a combination thereof.
11 . The method of claim 1 , wherein the cross-validation is selected from k-fold cross-validation, Monte Carlo cross-validation, and Leave N Out validation.
12 . The method of claim 1 , wherein the majority data class is 95% of the class-imbalanced data set and the minority data class is 5% of the class-imbalance data set.
13 . The method of claim 1 , wherein the majority data class is 90% of the class-imbalanced data set and the minority data class is 10% of the class-imbalance data set.
14 . The method of claim 1 , wherein the majority data class is 85% of the class-imbalanced data set and the minority data class is 15% of the class-imbalance data set.
15 . The method of claim 1 , wherein the majority data class is 80% of the class-imbalanced data set and the minority data class is 20% of the class-imbalance data set.
16 . The method of claim 1 , wherein the majority data class is 75% of the class-imbalanced data set and the minority data class is 25% of the class-imbalance data set.
17 . The method of claim 1 , wherein the majority data class is 70% of the class-imbalanced data set and the minority data class is 30% of the class-imbalance data set.
18 . The method of claim 1 , wherein the majority data class is 65% of the class-imbalanced data set and the minority data class is 35% of the class-imbalance data set.
19 . The method of claim 1 , wherein the majority data class is 60% of the class-imbalanced data set and the minority data class is 40% of the class-imbalance data set.
20 - 32 . (canceled)