多翼送風機の非定常流れと騒音発生メカニズムに関する研究

学位記号番号 : 博理工乙第253号博士の専攻分野の名称 : 博士(工学) 学位授与年月日 : 令和元年9月20日textapplication/pdfthesi

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ROC curve using genes from [10] as ground truth based on top genes cutoff for each topic.

It is important to note that some of our false positive values correspond to true interacting genes that have not been presented in the [10] paper amongst their Supplementary figure 4 genes.</p

Additional synthetic experiment showing genes with unmodified expression.

Similar probabilities can be observed under the two models. (TIF)</p

Using the synthetic data, we evaluate how likely it is to observe counts for some genes under <i>θ</i> and Δ.

For 200 upregulated doublets, we plot the probability of observing the counts of a gene that has been upregulated, Sell, and a gene that has not, mt-Cytb, under a model using all topics or using only the topics learned from the singlets populations. In the case of Sell, a gene with modified expression, the probability of observing the actual counts or greater than in the upregulated doublets using all topics is higher compared to the probability of observing those counts if we only use the initial topics. However, for mt-Cytb that we have not upregulated the probabilities under the two models of observing the actual counts or greater than are similar. Thus, we can conclude that the additional topics are required to model the genes that change.</p

Area under the curve (AUC) is high for the optimal value of topics (10) and decays slowly after.

(TIF)</p

For each of our 4 synthetic experiments, we plot a ROC curve using a different number of top genes based on our ranking.

In all cases the genes we have modified the expression of appear at the top of the newly identified topics. For all synthetic experiments, using up to the top 15 genes per topic resolves the list of upregulated genes we consider as ground truth. However, as seen from the plots even if a slightly higher number of top genes are used, the false positives are gradually increasing. In each plot we have indicated the number of false positive genes ranked for each experiment while the full truth set has not been identified. Total list of ranked genes for those experiments is over 2500.</p