High-Dimensional on The Standard Errorhttps://jongha-jeon-dev.github.io/standarderror/tags/high-dimensional/Recent content in High-Dimensional on The Standard ErrorHugo -- 0.123.7en-gbWed, 09 Sep 2026 00:00:00 +0000Topology 2: A Barcode's Numbers Mean Nothing on Their Ownhttps://jongha-jeon-dev.github.io/standarderror/lectures/topology-2-barcode-numbers/Wed, 09 Sep 2026 00:00:00 +0000https://jongha-jeon-dev.github.io/standarderror/lectures/topology-2-barcode-numbers/This episode was written to say that a barcode loses its dynamic range in high dimensions and the display therefore fails. The range does collapse, by a factor of 62 — and the summary becomes more informative, because concentration tightens the null far faster than it shrinks the signal.