Dontopedia

mean field

From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-06-06.)

mean field has 15 facts recorded in Dontopedia across 11 references, with 1 live disagreement.

15 facts·12 predicates·11 sources·1 in dispute

Mostly:always equals(2), essential for sync(1), used before coupling computation(1)

Maturity scale raw canonical shape-checked rule-derived certified

Inbound mentions (14)

Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.

boundsBounds(1)

correctlyAssumedCorrectly Assumed(1)

describesDescribes(1)

generatesCoherentGenerates Coherent(1)

hasLearnedCoherenceHas Learned Coherence(1)

involvesCollapsingToInvolves Collapsing to(1)

isPerGroupCosineSimilarityToIs Per Group Cosine Similarity to(1)

movesSpectraTowardMoves Spectra Toward(1)

ontologicallyMeanFieldOntologically Mean Field(1)

presupposesExistenceOfPresupposes Existence of(1)

produceNearCancellationInProduce Near Cancellation in(1)

providesExactDerivationProvides Exact Derivation(1)

pulledTowardPulled Toward(1)

targetTarget(1)

Other facts (13)

The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.

13 facts
PredicateValueRef
Always EqualsGeometric Average of Anchors[4]
Always EqualsGeometric Average[10]
Essential for SyncTrue[1]
Used Before Coupling ComputationTrue[1]
OverflowedSync Update[2]
Computed AsΣ_j A[g,j] * spectra_j[2]
Bounded in(0,1][3]
Can Have Near Zero Normtrue[3]
Used in Generation Phasenull[5]
Used in Cosine SimilarityCos Theta G[6]
Has Orthogonal Tangent ComponentTangent Component[7]
Coupling Targetnull[8]
StatusNot Fully Collapsed[9]

Timeline

Timeline axis is valid_time — when each source says the fact was true in the world, not when Dontopedia learned about it. Retracted rows are kept for provenance; coloured stripes indicate the context kind.

essentialForSyncblah/watt-activation/part-110
ex:true
usedBeforeCouplingComputationblah/watt-activation/part-110
ex:true
overflowedblah/watt-activation/part-136
ex:sync-update
computedAsblah/watt-activation/part-136
Σ_j A[g,j] * spectra_j
boundedInblah/watt-activation/part-137
(0,1]
canHaveNearZeroNormblah/watt-activation/part-137
true
alwaysEqualsblah/watt-activation/part-220
ex:geometric-average-of-anchors
usedInGenerationPhaseblah/watt-activation/part-226
null
usedInCosineSimilarityblah/watt-activation/part-336
ex:cos-theta-g
hasOrthogonalTangentComponentblah/watt-activation/part-394
ex:tangent-component
couplingTargetblah/watt-activation/part-472
null
labelblah/watt-activation/218
mean field
statusblah/watt-activation/218
ex:not-fully-collapsed
alwaysEqualsblah/watt-activation/219
ex:geometric-average
labelblah/watt-activation/222
mean field

References (11)

11 references
  1. [1]Part 1102 facts
    ctx:discord/blah/watt-activation/part-110
  2. [2]Part 1362 facts
    ctx:discord/blah/watt-activation/part-136
  3. [3]Part 1372 facts
    ctx:discord/blah/watt-activation/part-137
  4. [4]Part 2201 fact
    ctx:discord/blah/watt-activation/part-220
  5. [5]Part 2261 fact
    ctx:discord/blah/watt-activation/part-226
  6. [6]Part 3361 fact
    ctx:discord/blah/watt-activation/part-336
  7. [7]Part 3941 fact
    ctx:discord/blah/watt-activation/part-394
  8. [8]Part 4721 fact
    ctx:discord/blah/watt-activation/part-472
  9. [9]2182 facts
    ctx:discord/blah/watt-activation/218
    • full textwatt-activation-218
      text/plain2 KBdoc:agent/watt-activation-218/8c31d20c-8693-4814-8ac3-e83806d6ce35
      Show excerpt
      [2026-03-11 04:40] xenonfun: --- Run 2: lohe_spherical+lohe_v3+RotAdamW (1000 steps) Network-level: global_r≈0.107, β≈25, β_gate flat at 0.119. Notably flatter than spectral. ``` ┌─────┬───────────────────┬───────────┬─────────────┬─
  10. [10]2191 fact
    ctx:discord/blah/watt-activation/219
    • full textwatt-activation-219
      text/plain3 KBdoc:agent/watt-activation-219/c4912ff6-d2ed-42a3-a8a7-43eb7014e9ec
      Show excerpt
      [2026-03-11 04:40] xenonfun: --- Three Things the β Signal Is Revealing 1. β_gate≈0.12 constant = the gate is not working. K=0.177 << K_c=1.33 means β≈25 throughout — we're so deep in the disordered phase that β never varies. To get
  11. [11]2221 fact
    ctx:discord/blah/watt-activation/222
    • full textwatt-activation-222
      text/plain3 KBdoc:agent/watt-activation-222/d8201f0f-b5d1-4b50-9f4e-2aca2c0d4c1e
      Show excerpt
      [2026-03-11 05:02] xenonfun: ⏺ mx.compile with RotationalAdamW is a dead end — the optimizer creates new array objects on each step, so inputs=[model.state] captures stale references. The error "array without primitive" is exactly what CL

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