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Thank you for the question.

will it be useful to do gating not only using Mahalanobis distance but also using euclidean distance??

It could be useful. You can use Hungarian algorithm for dealing with various costs. If you want to do that, you need to write on your own codes. This package could be helpful. https://gitlab.com/autowarefoundation/autoware.auto/AutowareAuto/tree/master/src/fusion/hungarian_assigner