โ€บNavigation

Finish ยท cross-candidate matrix

Cross-candidate orthogonality โ€” CECP / statistical-complexity slate

Worst-cell rollup breaches the cap, but only in 3 of 209 cells (โ‰ค5%) โ€” see the localization panel. Across the bulk of the grid the 3 CECP candidates are mutually orthogonal (medians well below cap); redundancy is confined to a few sparse, high-threshold cells where the ordinal histograms collapse.

LOCALIZED REDUNDANCY ยท 10/10 slices ยท 209 valid cells ยท generated 2026-06-10 05:07 UTC

0.942
worst |ฯ| (any pair)
0.963
worst pairwise Rยฒ
0.970
worst leave-one-out Rยฒ
209
valid cells
Gate: cross-candidate orthogonality holds when max |ฯ| โ‰ค 0.85, pairwise Rยฒ โ‰ค 0.85, and leave-one-out Rยฒ โ‰ค 0.85. Watch band 0.85โ€“0.95; sibling/redundant above 0.95.

Localization โ€” cells breaching the cap

3 of 209 valid cells (1.4%) exceed |ฯ|>0.85, Rยฒ>0.85, or LOO Rยฒ>0.85. These drive the worst-cell rollup; the medians above show the typical case.

Cellslicebarsmax |ฯ|max pairwise Rยฒmax LOO Rยฒ
BTCUSDT@750dbpsslice05 ยท 2025-01 โ†’ 026420.6350.9630.970
BTCUSDT@750dbpsslice01 ยท 2026-01 โ†’ 027050.9420.3550.608
BTCUSDT@750dbpsslice07 ยท 2024-07 โ†’ 088850.6100.7050.861

Pairwise relationships (across all valid cells)

Pairmedian |ฯ|max |ฯ|max pairwise Rยฒverdict
statistical_complexity โ†” cecp_velocity0.1750.7580.963SIBLING
statistical_complexity โ†” binary_cecp0.2800.9420.624WATCH
cecp_velocity โ†” binary_cecp0.0850.5770.339PASS

Leave-one-out Rยฒ (each candidate ~ joint of the other two)

How well each candidate is reconstructed from the other two together โ€” the strictest within-slate redundancy test.

CandidateAxis-1 vs panelmedian LOO Rยฒmax LOO Rยฒwithin-slate
๐Ÿงญ Statistical Complexity (MPR)
bar_statistical_complexity
BAN0.1880.970REDUNDANT
๐Ÿ›ฐ๏ธ CECP velocity
bar_cecp_velocity
PASS0.0500.969REDUNDANT
๐Ÿ”ณ Binary CECP
bar_binary_cecp
WATCH0.1470.705ORTHOGONAL

Per-slice worst case (regime spread)

Slicewindowvalid cellsmax |ฯ|max LOO Rยฒ
slice012026-01 โ†’ 02210.9420.615
slice032025-07 โ†’ 08200.7480.785
slice052025-01 โ†’ 02210.6350.970
slice072024-07 โ†’ 08210.6570.861
slice092024-01 โ†’ 02210.7430.668
slice122023-04 โ†’ 05210.7110.679
slice142022-10 โ†’ 11210.6540.662
slice172022-01 โ†’ 02210.4140.263
slice202021-04 โ†’ 05210.6400.563
slice212021-01 โ†’ 02210.6760.711

Method & scope

Sources: results/cross_candidate_slice*.jsonl ยท registry orthogonal_candidates_v2.py.