1. An information processing system for performing stable gene analysis of transcriptome sequencing data, the information processing system comprising: a memory; a processor communicatively coupled to the memory; and a transcriptome sequencing data analyzing communicatively coupled to the memory and the processor, wherein the transcriptome sequencing data analyzing is configured to perform a method comprising: obtaining, by a processor, a plurality of datasets each comprising transcriptome sequencing data, wherein each of the plurality of datasets comprises a plurality of genes and a respective ranking value associated with each of the plurality of genes; obtaining a plurality of rank normalized input datasets based on assigning, for each of the plurality of datasets, a rank to each of the plurality of genes; identifying, between each pair of the plurality of rank normalized input datasets, one or more longest increasing subsequence of ranks; and identifying, based on each of the one or more longest increasing subsequence of ranks of each of the plurality of rank normalized input datasets, a set of stable genes from the plurality of genes.