“…It has also been explored how to utilize information other than the genome to enhance prediction accuracy. The typical additional information is “omics data.” For example, transcriptome (Li et al ., 2019; Perez et al ., 2022) and metabolome (Riedelsheimer et al ., 2012; Campbell et al ., 2021) are often used together with the genome, and some studies have used both (Xu et al ., 2016; Schrag et al ., 2018). Furthermore, because data in biology are essentially multivariate (i.e., multiple traits can be measured for a genotype at multiple environments), it has been of interest to learn how to utilize multivariate information to improve prediction accuracy for target traits (e.g., Jia and Jannink, 2012; Jarquin et al ., 2016; Atanda et al ., 2022).…”