Rényi mRMR: which direction of Arimoto information?

What changed

The corrections that change the paper's conclusions, each as before and after.

Corrected draft ready · Updated 18 Oct 2026

1 min readMy notes

About 40 issues were flagged in the draft. These are the ones that change what the paper can claim. The full list, with locations, is in the error report on the files page.

Class-side comparisonSection 2.2

Before

Announced a comparison of the two directions, but never reported it; the code had no class-side option.

After

Both directions are implemented and reported on all five datasets over 20 splits.

The paper’s main claim is about direction, so it needs the class-side numbers to stand on.

The α = ∞ collapse on BASEHOCKTable 5

Before

Features 2, 7, 12, 17… listed as the selector's picks, as if they were informative.

After

Explained as the index walk: every candidate ties at 0, and the argmax returns file order (Proposition 3).

The picks are the file’s column order, so they say nothing about the words.

Choosing kResults

Before

Peak accuracy over the number of features k, read off the test set.

After

Area under the accuracy curve over all k, with no choice made on test data.

Picking the best k on the test set makes every selector look better than it is.

UncertaintyTables 3–4

Before

A binomial standard error from one split.

After

20 stratified splits, the Nadeau–Bengio corrected t-test, and Friedman/Nemenyi ranks.

One split cannot separate two selectors; the corrected test accounts for overlapping training sets[7].

SEMEION gainsAbstract, conclusion

Before

Rényi orders α = 2 and 5 reported as beating Shannon.

After

No order beats Shannon robustly; the gains do not survive 20 splits.

The single-split gains were within noise.

References [12], [14]–[16], [25]Bibliography

Before

JMI, CMIM and mRMR citations permuted; [12] a book review; [25] with the wrong authors.

After

Yang & Moody for JMI, Fleuret for CMIM, Peng et al. for mRMR, Cover & Thomas for [12], Liu & Hu for [25].

Wrong attributions are the first thing a reviewer checks.

Credit for Proposition 1Section 3

Before

Presented as new.

After

Credited as the identity-gain case of Theorem 4.2 in Alvim et al.

What is new is what the asymmetry does to selection, not the identity itself[2].