Topological Data Analysis is a machine learning technique that has lately gained traction in bioinformatics research. With mathematical clarity and efficiency, our clustering algorithm IoPS topologically constructs clusters from data. We uses IoPS to analyze CMP (Continuous Multitask Paradigm) data which is the fMRI of 18 people's brain while they performed some tasks. The brain ROIs that are commonly or distinctly activated for various tasks are clearly identified using our method.