probability-statistics / Boolean functions; information theory

Courtade and Kumar's Coordinate-wise Mutual Information Question

Fully resolves the posed coordinate-wise question; the main Courtade-Kumar conjecture itself remains open outside the extended high-noise range.

22Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

Temporal state

Current frontier

No reconciled state yet.

Append-only history

Frontier timeline

probability-statisticsJan 14, 2026Significance 22/100Registry: unreviewed

Courtade and Kumar's Coordinate-wise Mutual Information Question

Prior state unknown→proved

Fully resolves the posed coordinate-wise question; the main Courtade-Kumar conjecture itself remains open outside the extended high-noise range.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Research memory

Claims and attempts

Scoped claims

Source authenticated

Fully resolves the posed coordinate-wise question; the main Courtade-Kumar conjecture itself remains open outside the extended high-noise range.

Fully resolves the posed coordinate-wise question; the main Courtade-Kumar conjecture itself remains open outside the extended high-noise range.

Recorded attempts

Evidence graph

Connected research record

Courtade and Kumar's Coordinate-wise Mutual Information Question — Mathematical Frontier Network