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Supplementary Material to " Sufficient dimension reduction for classification using principal optimal transport direction "

Neural Information Processing SystemsOct-2-2025, 13:07:29 GMT

Hence, to prove Theorem 1, it is sufficient to show that S (B) = S (Σ) holds. To verify S ( B) = S ( Σ), we only need to show the following two results hold: (I). We now begin with the statement (I). This completes the proof for Statement I. We then turn to Statement II.

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Neural Information Processing Systems

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