Chromosomal deletions and amplifications that occur in affected cells from patients with myelodysplastic syndromes and acute myeloid leukemia often contain genes that contribute to disease pathogenesis. Identification of copy number alterations (deletions and amplifications) and regions of copy neutral loss of heterozygosity using array-based platforms has led to the identification of genes that are commonly mutated in myeloid malignancies. In this article, we review the literature and highlight the array-based studies that directly compare matched normal and tumor samples from the same individual to identify somatic alterations. We also discuss the use of next-generation sequencing to identify all types of structural variants, including copy number alterations and copy neutral loss of heterozygosity, and provide an outlook for how this technology may be used to interrogate cancer genomes.