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The Dice Coefficient <InlineMathmath="DSC"/> is a statistical tool used to gauge the similarity of two samples. In image segmentation, it measures the overlap between the segmented mask (<InlineMathmath="X"/>) and the ground truth (<InlineMathmath="Y"/>).
The IoU <InlineMathmath="IoU"/> is the standard metric for object detection and semantic segmentation challenges. It calculates the ratio of the intersection area to the union area of the two masks.
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<BlockMathmath="IoU = \frac{\text{Area of Overlap}}{\text{Area of Union}} = \frac{|X \cap Y|}{|X \cup Y|}"/>
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<BlockMathmath={String.raw`IoU = \frac{\text{Area of Overlap}}{\text{Area of Union}} = \frac{|X \cap Y|}{|X \cup Y|}`}/>
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