feat(reports): leftover-map singular values on leftover-map graphic-display axes (v2.81.0)

AGENTS.md

@@ -273,7 +273,7 @@ stops startup instead of leaving a healthy-looking partial schema, and
 application code must not compensate for a missing table.
 
 Period leftover pairs (ADR 0017 / 0018 / 0048 / 0049 / 0119 / 0158 / 0162 /
-0163 / 0164 / 0182 / 0185 / 0201 / 0233 / 0266 / 0267 / 0268 / 0269 / 0270 / 0271 / 0272 / 0273 / 0274 / 0275 / 0276 / 0277 / 0278 / 0279 / 0280 / 0281 / 0282 / 0283 / 0284 / 0285 / 0286 / 0287 / 0288 / 0289 / 0290 / 0291 / 0292 / 0293 / 0294 / 0295 / 0296 / 0297 / 0298 / 0299 / 0300 / 0301 / 0302 / 0303 / 0304 / 0305 / 0306 / 0307 / 0308 / 0309 / 0310 / 0311 / 0312 / 0313 / 0314 / 0315 / 0316 / 0317 / 0318 / 0319 / 0320 / 0321 / 0322 / 0323) are computed in `lineageweave/leftover_pairs.py` from the
+0163 / 0164 / 0182 / 0185 / 0201 / 0233 / 0266 / 0267 / 0268 / 0269 / 0270 / 0271 / 0272 / 0273 / 0274 / 0275 / 0276 / 0277 / 0278 / 0279 / 0280 / 0281 / 0282 / 0283 / 0284 / 0285 / 0286 / 0287 / 0288 / 0289 / 0290 / 0291 / 0292 / 0293 / 0294 / 0295 / 0296 / 0297 / 0298 / 0299 / 0300 / 0301 / 0302 / 0303 / 0304 / 0305 / 0306 / 0307 / 0308 / 0309 / 0310 / 0311 / 0312 / 0313 / 0314 / 0315 / 0316 / 0317 / 0318 / 0319 / 0320 / 0321 / 0322 / 0323 / 0324) are computed in `lineageweave/leftover_pairs.py` from the
 residual after a real GRM/GPCM score, never invented. Distances are
 Euclidean on the two-dimensional Gabriel leftover map; missing cells stay
 out of the factorization. Closest and farthest post–criterion pairs
@@ -656,6 +656,11 @@ leftoverMapCompareAxisBadge returns a usable leftover-axis caption. Distinct acc
 name `leftover map comparison leftover axis {axis} σ {value}`. Share and singular value
 omit independently. Rank-0 unused axes still name `σ 0.00`. Do not invent leftover-map
 singular values from leftover-map axis share.
+ADR 0324 captions leftover-map graphic-display axes with persisted leftover-map singular
+values `σ_k` when leftoverMapPlotAxisBadge returns a usable leftover-map axis caption.
+Distinct accessible name `leftover-map axis {axis} σ {value} ({share}%)`. Share and
+singular value omit independently. Rank-0 unused axes still name leftover-map axis
+`σ 0.00`. Do not invent leftover-map singular values from leftover-map axis share.
 When `R`, `R̂`, `U`, `x`,
 `s`, and `e` are finite, `e + s + x = 1`. When `Y`, `E`, and `R` are
 finite, `Y − E = R`. When `R`, `R̂`, and `U` are
@@ -760,6 +765,9 @@ returns a usable finite non-negative value.
 Grouping comparison leftover-axis report badge leftover-map singular values (ADR 0323) captions
 leftover-axis report badges on the grouping comparison strip with persisted leftover-map
 singular values `σ_k` when leftoverMapCompareAxisBadge returns a usable leftover-axis caption.
+Leftover-map graphic-display leftover-map singular values (ADR 0324) captions leftover-map
+graphic-display axes with persisted leftover-map singular values `σ_k` when leftoverMapPlotAxisBadge
+returns a usable leftover-map axis caption.
 Item complete-case coverage
 (ADR 0282) captions the leftover-map graphic with how many scored criteria
 entered the map. Item complete-case coverage on the pair list (ADR 0285)

ARCHITECTURE.md

@@ -754,6 +754,8 @@ ADR 0322 captions leftover-axis report badges with persisted leftover-map
 singular values `σ_k`.
 ADR 0323 captions leftover-axis report badges on the grouping comparison strip
 with persisted leftover-map singular values `σ_k`.
+ADR 0324 captions leftover-map graphic-display axes with persisted leftover-map
+singular values `σ_k`.
 Click a post marker or a pair button
 opens that post. Those ADRs are the normative mathematical, storage, and
 display contracts. Leftover-map axis share
@@ -806,7 +808,8 @@ graphic (ADR 0319), leftover-map coordinate ticks on the grouping comparison lef
 graphic (ADR 0320), leftover-map singular values on the grouping comparison leftover-map
 graphic (ADR 0321), leftover-map singular values on leftover-axis report badges
 (ADR 0322), leftover-map singular values on leftover-axis report badges on the
-grouping comparison strip (ADR 0323);
+grouping comparison strip (ADR 0323), leftover-map singular values on leftover-map
+graphic-display axes (ADR 0324);
 `POST .../rebuild` scores every grouping kind (post_admin). `make seed`
 folds A-100/B-200 Event Lineage fixtures (and the Riverbend calendar
 post) that already have constructed IRT cells into the same shared

CHANGELOG.d/2.81.0-leftover-map-plot-axis-singular.md

@@ -0,0 +1,18 @@
+## 2.81.0 — Leftover-map singular values on leftover-map graphic-display axes
+
+- Caption leftover-map graphic-display axes with persisted leftover-map singular
+  values `σ_k` (ADR 0324). After `make seed`, leftover-map graphic-display axes
+  name persisted leftover-map singular values when finite together with persisted
+  leftover-map axis share; click a leftover pair opens that post. A missing,
+  non-finite, or negative singular value omits that `σ` caption and keeps
+  `leftover-map axis {k} ({share}%)`. Rank-0 unused axes still name `σ 0.00`.
+  Leftover-map graphic-display axes stay `leftover-map axis {k} σ {value} ({share}%)`
+  so they stay distinct from leftover-axis `leftover axis {k} σ {value} {share}%`,
+  from comparison leftover-axis `leftover map comparison leftover axis {k} σ {value} {share}%`,
+  and from comparison graphic
+  `leftover map comparison graphic leftover-map axis {k} σ {value} ({share}%)`.
+  Do not invent `σ_k` from leftover-map axis share. This increment does not
+  change leftover-map singular values on leftover-axis report badges or on
+  leftover-axis report badges on the grouping comparison strip. A finite negative
+  leftover is shown, never clamped. Never invent a leftover score. Never invent a
+  theta. No new columns.

CHANGELOG.md

@@ -8,6 +8,21 @@ All notable changes to this project are documented here. Format follows
 
 ### Added
 
+- Period leftover pairs now caption leftover-map graphic-display axes with persisted
+  leftover-map singular values `σ_k` (ADR 0324 / v2.81.0). After `make seed`, leftover-map
+  graphic-display axes name persisted leftover-map singular values when finite together
+  with persisted leftover-map axis share; click a leftover pair opens that post. A
+  missing, non-finite, or negative singular value omits that `σ` caption and keeps
+  `leftover-map axis {k} ({share}%)`. Rank-0 unused axes still name `σ 0.00`. Leftover-map
+  graphic-display axes stay `leftover-map axis {k} σ {value} ({share}%)` so they stay
+  distinct from leftover-axis `leftover axis {k} σ {value} {share}%`, from comparison
+  leftover-axis `leftover map comparison leftover axis {k} σ {value} {share}%`, and from
+  comparison graphic `leftover map comparison graphic leftover-map axis {k} σ {value} ({share}%)`.
+  Do not invent `σ_k` from leftover-map axis share. This increment does not change
+  leftover-map singular values on leftover-axis report badges or on leftover-axis
+  report badges on the grouping comparison strip. A finite negative leftover is shown,
+  never clamped. Never invent a leftover score or a theta. No new columns.
+
 - Period leftover pairs now caption leftover-axis report badges on the grouping
   comparison strip with persisted leftover-map singular values `σ_k`
   (ADR 0323 / v2.80.0). After `make seed`, grouping comparison leftover-axis

CLAUDE.md

@@ -49,7 +49,7 @@ cutoff. Global Ask optional `knowledge_cutoff` uses the same cover
 
 Create/start endpoint rules (ADR 0017 / 0021), tie-vs-miss similarity
 (ADR 0026), R&R catalog ids (ADR 0019 / 0027), leftover pairs
-(ADR 0048–0164 / 0182 / 0185 / 0201 / 0233 / 0266 / 0267 / 0268 / 0269 / 0270 / 0271 / 0272 / 0273 / 0274 / 0275 / 0276 / 0277 / 0278 / 0279 / 0280 / 0281 / 0282 / 0283 / 0284 / 0285 / 0286 / 0287 / 0288 / 0289 / 0290 / 0291 / 0292 / 0293 / 0294 / 0295 / 0296 / 0297 / 0298 / 0299 / 0300 / 0301 / 0302 / 0303 / 0304 / 0305 / 0306 / 0307 / 0308 / 0309 / 0310 / 0311 / 0312 / 0313 / 0314 / 0315 / 0316 / 0317 / 0318 / 0319 / 0320 / 0321 / 0322 / 0323), occupational construct catalog search
+(ADR 0048–0164 / 0182 / 0185 / 0201 / 0233 / 0266 / 0267 / 0268 / 0269 / 0270 / 0271 / 0272 / 0273 / 0274 / 0275 / 0276 / 0277 / 0278 / 0279 / 0280 / 0281 / 0282 / 0283 / 0284 / 0285 / 0286 / 0287 / 0288 / 0289 / 0290 / 0291 / 0292 / 0293 / 0294 / 0295 / 0296 / 0297 / 0298 / 0299 / 0300 / 0301 / 0302 / 0303 / 0304 / 0305 / 0306 / 0307 / 0308 / 0309 / 0310 / 0311 / 0312 / 0313 / 0314 / 0315 / 0316 / 0317 / 0318 / 0319 / 0320 / 0321 / 0322 / 0323 / 0324), occupational construct catalog search
 (ADR 0257), the text-channel embedding swap and cosine
 clamp (ADR 0190), per-edge channel-score persistence (ADR 0195),
 token-backed status notices (ADR 0220),

docs/adr/0148-leftover-map-axis-share.md

@@ -7,7 +7,9 @@
 [ADR 0322](0322-leftover-map-axis-singular.md)
 (leftover-map singular values on leftover-axis report badges);
 [ADR 0323](0323-leftover-map-compare-axis-singular.md)
-(leftover-map singular values on leftover-axis report badges on the grouping comparison strip)
+(leftover-map singular values on leftover-axis report badges on the grouping comparison strip);
+[ADR 0324](0324-leftover-map-plot-axis-singular.md)
+(leftover-map singular values on leftover-map graphic-display axes)
 
 ## Context
 

docs/adr/0322-leftover-map-axis-singular.md

@@ -83,7 +83,9 @@ Independent of leftover-map singular values on the grouping comparison
 leftover-map graphic. This increment does not caption leftover-map singular
 values on leftover-axis badges on the grouping comparison strip with a
 distinct name
-([ADR 0323](0323-leftover-map-compare-axis-singular.md)).
+([ADR 0323](0323-leftover-map-compare-axis-singular.md)). This increment does
+not caption leftover-map singular values on leftover-map graphic-display axes
+([ADR 0324](0324-leftover-map-plot-axis-singular.md)).
 
 ## References
 

docs/adr/0323-leftover-map-compare-axis-singular.md

@@ -103,6 +103,8 @@ leftover-map axis share are finite, leftover-map axis share is
 
 Independent of leftover-map singular values on leftover-axis report badges
 in the period-report panel ([ADR 0322](0322-leftover-map-axis-singular.md)).
+Independent of leftover-map singular values on leftover-map graphic-display
+axes ([ADR 0324](0324-leftover-map-plot-axis-singular.md)).
 
 ## References
 

docs/adr/0324-leftover-map-plot-axis-singular.md

@@ -0,0 +1,129 @@
+# ADR 0324 — Name leftover-map singular values on leftover-map graphic-display axes
+
+**Decision status:** Accepted
+**Date:** 2026-08-31
+
+Amends leftover-map axis share on the graphic display
+([ADR 0269](0269-leftover-map-axis-share-plot.md)), leftover-map axis share
+persistence ([ADR 0148](0148-leftover-map-axis-share.md)). Independent of leftover-map
+singular values on leftover-axis report badges
+([ADR 0322](0322-leftover-map-axis-singular.md)), leftover-map singular
+values on leftover-axis report badges on the grouping comparison strip
+([ADR 0323](0323-leftover-map-compare-axis-singular.md)), leftover-map
+singular values on the grouping comparison leftover-map graphic
+([ADR 0321](0321-leftover-map-compare-plot-singular.md)), leftover-map
+coordinate ticks on that comparison graphic
+([ADR 0320](0320-leftover-map-compare-plot-ticks.md)), leftover-map
+axis share on that comparison graphic
+([ADR 0305](0305-leftover-map-compare-plot-axis-share.md)), leftover-map
+graphic display on the grouping comparison strip
+([ADR 0304](0304-leftover-map-compare-graphic.md)), leftover-map
+coordinates ([ADR 0267](0267-leftover-map-coordinates.md)), leftover-map
+graphic display ([ADR 0268](0268-leftover-map-graphic-display.md)), and
+leftover-map coordinate ticks on the graphic display
+([ADR 0270](0270-leftover-map-coordinate-ticks.md)).
+
+## Context
+
+ADR 0148 already persists leftover-map singular values `σ_k` and leftover-map
+axis share `σ_k² / Σ_j σ_j²`. ADR 0269 captions leftover-map graphic-display
+axes with share only as `leftover-map axis {k} ({share}%)`. ADR 0321 already
+captions the grouping comparison leftover-map graphic with persisted `σ_k`.
+ADR 0322 already captions leftover-axis report badges with persisted `σ_k`.
+ADR 0323 already captions grouping comparison leftover-axis report badges
+with persisted `σ_k`. Period leftover-map graphic axes still hide `σ_k`, so
+Gabriel (1971) singular values appear on leftover-axis badges and on the
+comparison graphic and never on the leftover-map graphic-display axes that
+name the same axes. Hiding `σ_k` on leftover-map graphic-display axes lets
+leftover-map axis share be read as leftover-map structure even when the buyer
+cannot tell whether axis 1 is large because `σ_1` is large or because axis 2
+collapsed. A missing, non-finite, or negative singular value is not a leftover
+score and must omit independently of leftover-map axis share. Rank-0 unused
+axes still persist `σ_k = 0`. A finite negative leftover is shown, never
+clamped. Do not invent `σ_k` from leftover-map axis share.
+
+This increment captions leftover-map graphic-display axes with already persisted
+leftover-map singular values. Leftover-map graphic-display axes stay
+`leftover-map axis {k} σ {value} ({share}%)` so they stay distinct from
+leftover-axis badges `leftover axis {k} σ {value} {share}%`, from comparison
+leftover-axis `leftover map comparison leftover axis {k} σ {value} {share}%`,
+and from comparison graphic
+`leftover map comparison graphic leftover-map axis {k} σ {value} ({share}%)`.
+It does not add columns. Do not invent a leftover score. Do not invent a
+theta.
+
+This protected increment uses **0324** so it does not collide with leftover-map
+singular values on leftover-axis report badges on the grouping comparison
+strip (0323), leftover-map singular values on leftover-axis report badges
+(0322), leftover-map singular values on the grouping comparison leftover-map
+graphic (0321), leftover-map coordinate ticks on that graphic (0320), leftover-map
+axis share on that graphic (0305), leftover-map graphic display on the grouping
+comparison strip (0304), leftover-map axis share persistence (0148), leftover-map
+axis share on the graphic display (0269), or the dashboard stacks.
+
+## Decision
+
+On leftover-map graphic-display axes, caption leftover-map axis `k` with
+persisted leftover-map singular value `σ_k` when that singular value is
+finite and non-negative, including rank-0 zero singular values. Share and
+singular value omit independently: no share and no `σ_k` keeps
+`leftover-map axis {k}`; share only is `leftover-map axis {k} ({share}%)`;
+`σ_k` only is `leftover-map axis {k} σ {value}`; both is
+`leftover-map axis {k} σ {value} ({share}%)`. A missing, non-finite, or
+negative singular value omits that `σ` caption and keeps the existing
+`leftover-map axis {k} ({share}%)` text. Do not invent `σ_k` from leftover-map
+axis share. Axis 1 and axis 2 stay independently named. Click a leftover pair
+to open that post.
+
+Leftover-map graphic-display singular values omit independently of leftover-map
+comparison graphic leftover-map axis singular values and leftover-axis report
+badges. A missing singular value omits that leftover-map graphic-display `σ`
+caption and keeps a usable leftover-map axis share caption, leftover-map
+comparison graphic leftover-map axis `σ` caption, leftover-axis report badge
+`σ` caption, leftover-map comparison leftover-axis `σ` caption, leftover-map
+graphic leftover-map axis ticks, leftover-map distance caption, leftover-map
+rank caption, leftover expected `E`, leftover observed `Y`, leftover residual
+`R`, leftover-map unexplained leftover `U`, leftover-map reconstruction `R̂`,
+and leftover-map graphic coverage notes.
+
+This increment does not change leftover-map singular values on leftover-axis
+report badges. Those leftover-axis badges stay
+`leftover axis {axis} σ {value} {share}%` (ADR 0322). This increment does
+not change leftover-map singular values on leftover-axis report badges on the
+grouping comparison strip (ADR 0323). This increment does not persist leftover-map
+inner product, cosine, or length.
+
+Do not add SQL. Do not edit shipped migrations. Do not invent a leftover
+score. Do not invent a theta.
+
+## Consequences
+
+After `make seed`, leftover-map graphic-display axes name persisted leftover-map
+singular values when finite together with persisted leftover-map axis share;
+click a leftover pair opens that post. Hidden posts stay hidden. Rank-0 unused
+axes still name leftover-map axis `σ 0.00`. Grouping comparison leftover-map
+graphic leftover-map singular values (ADR 0321), leftover-axis report badge
+leftover-map singular values (ADR 0322), and grouping comparison leftover-axis
+report badge leftover-map singular values (ADR 0323) remain.
+
+## Related
+
+Independent of leftover-map singular values on leftover-axis report badges
+([ADR 0322](0322-leftover-map-axis-singular.md)). Independent of leftover-map
+singular values on leftover-axis report badges on the grouping comparison
+strip ([ADR 0323](0323-leftover-map-compare-axis-singular.md)). Independent of
+leftover-map singular values on the grouping comparison leftover-map graphic
+([ADR 0321](0321-leftover-map-compare-plot-singular.md)).
+
+## References
+
+Gabriel, K. R. (1971). The biplot graphic display of matrices with
+application to principal component analysis. *Biometrika, 58*(3),
+453–467. https://doi.org/10.1093/biomet/58.3.453
+
+Jeon, M., Jin, I. H., Schweinberger, M., & Baugh, S. (2021). Mapping
+unobserved item–respondent interactions: A latent space item response
+model with interaction map. *Psychometrika, 86*(2), 378–403.
+https://doi.org/10.1007/s11336-021-09762-5
+(LSIRM interaction `−γ‖ξ_j − ζ_i‖` after main effects
+`α_j − β_i`; typically `p = 2` for the interaction map.)

docs/product-technical-gap-baseline.md

@@ -1,5 +1,23 @@
 # Product & Technical Gap Baseline
 
+> Exact-head loop overlay: 2026-08-31 11:05 KST. Protected `main` is
+> `cb187cadee5fb6c46d8a944815ccc154a1e028d1`. Writes work. Do not
+> self-approve. #863 leftover-map singular values on leftover-axis report badges
+> on the grouping comparison strip (v2.80.0 / ADR 0323) is `52b3597`, stacked on
+> #862 @ `f24b664`. Independent APPROVE is missing. Next buyer increment on this
+> cycle: leftover-map singular values on leftover-map graphic-display axes
+> (ADR 0324 / v2.81.0) delivered locally on
+> `feat/leftover-map-plot-axis-singular-v2810`. Caption persisted leftover-map
+> singular values `σ_k` on leftover-map graphic-display axes from already-named
+> leftover-map axes. Distinct accessible name `leftover-map axis {axis} σ {value} ({share}%)`.
+> Rank-0 unused axes still name `σ 0.00`. Share and singular value omit
+> independently. Do not invent `σ_k` from leftover-map axis share. Do not change
+> leftover-map singular values on leftover-axis report badges or on leftover-axis
+> report badges on the grouping comparison strip this increment. Stack onto #863.
+> Leave open for independent review. Do not squash-merge. Do not self-approve.
+> Issues #79 and #87 stay open. Do not merge #808 without independent APPROVE.
+> Never self-approve.
+
 > Exact-head loop overlay: 2026-08-31 10:40 KST. Protected `main` is
 > `cb187cadee5fb6c46d8a944815ccc154a1e028d1`. Writes work. Do not
 > self-approve. #862 leftover-map singular values on leftover-axis report badges