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We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a "stressed subset". This framework provides a new combinatorial characterization of the class of elementary split matroids, which is expected to be asymptotically predominant. Moreover, it permits to describe an explicit matroid subdivision of a hypersimplex, which in turn can be used to write down concrete formulas for the evaluations of any valuative invariant onarXiv:2208.04893v2 fatcat:jerpeevawnh7dkdhjzsekqjb5u