probability-statistics / Statistical learning theory

Predicting Diagonalizability of a Mean Matrix

The general principle is the interesting part: every semialgebraic property of a bounded fixed-dimensional mean parameter is eventually almost surely predictable. Against merely integrable matrix laws it fails from dimension two.

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probability-statisticsAug 11, 2026Significance 8/100Registry: unreviewed

Predicting Diagonalizability of a Mean Matrix

Prior state unknown→proved

The general principle is the interesting part: every semialgebraic property of a bounded fixed-dimensional mean parameter is eventually almost surely predictable. Against merely integrable matrix laws it fails from dimension two.

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The general principle is the interesting part: every semialgebraic property of a bounded fixed-dimensional mean parameter is eventually almost surely predictable. Against merely integrable matrix laws it fails from dimension two.

The general principle is the interesting part: every semialgebraic property of a bounded fixed-dimensional mean parameter is eventually almost surely predictable. Against merely integrable matrix laws it fails from dimension two.

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Predicting Diagonalizability of a Mean Matrix — Mathematical Frontier Network