Hyperbolic Space/cognitumv0.4.0
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Hyperbolic Space

cognitum-one/cogs/src/cogs/hyperbolic-space · v0.4.0 · 28 KB · Hard

Maps spatial relationships into hyperbolic (Poincaré ball) space for hierarchical embedding of room topology and motion paths. Captures structure that Euclidean coordinates flatten — corridors, doorways, nested zones, and the geodesic distance between every two points a seed has ever observed.

HardwareESP32-S3 InputCSI spatial Curvatureκ −1.00 Dim2 live · streaming
Embedded nodes
128
in active manifold
Curvature κ
−1.00
target: −1.00 ± 0.05
Avg distortion
0.018
δ-hyperbolicity
Embed rate
12.4
updates / sec
Hierarchy depth
5
root · zones · rooms · cells · poses
Live Poincaré snapshot
Current embedding of all observed seed-anchored points
128 points · κ=−1.00
active anchor cluster centroid outlier boundary
Manifold health
last sample · 12s ago
ModelPoincaré ball B² Loss0.0241 Riemannian stepη = 0.012 Anchors14 fixed Margin to ∂B0.034 Stabilityconverged
Recent events
All →
Curvature drift
last 60s · target κ = −1.00
Embed throughput
updates / sec — sliding window 60s
Poincaré ball — interactive
Drag to pan, scroll to zoom in conformal space
128 points · κ=−1.00 · zoom 1.0×
root / zone room cell pose anomaly no selection
Selected point
StatusClick a node on the disk
Geodesic ruler

Pick two nodes; the disk draws the geodesic and reports hyperbolic distance.

— —
dH(A,B)— dE(A,B)— Path—
Detected hierarchy
Root → zones → rooms → cells → poses
radial layout · 128 nodes
Nodes
Click to highlight on tree
Curvature trace
window 5m · target κ=−1.00
measured κ target κ = −1.00 tolerance band recalibration events
Distortion (δ-hyperbolicity)
Per-triangle 4-point condition
δ mean0.018 δ p950.052 δ p990.091
Recalibrate

Re-fits κ from the last 512 embedded points.

Last fit: 42s ago · Δκ = +0.003
Motion paths in hyperbolic space
Geodesic traces of CSI-localized motion over the active session
3 active paths · 47 traces in window
esp-7a · parlor esp-3b · hallway esp-9c · attic esp-4d · basement
Event stream
stream open · 0 events
embedding_updated

Emitted when one or more points are re-embedded.

{
  "ts": "2026-05-23T17:42:11Z",
  "n_updated": 14,
  "kappa": -1.003,
  "loss": 0.0241,
  "anchors": ["zone:attic", "room:parlor"]
}
hierarchy_detected

Emitted when a new sub-tree is admitted.

{
  "ts": "2026-05-23T17:42:30Z",
  "parent": "zone:attic",
  "child": "room:rafters",
  "depth": 3,
  "support": 48
}
curvature

Periodic κ fit + tolerance check.

{
  "ts": "2026-05-23T17:42:45Z",
  "kappa": -0.997,
  "delta_kappa": 0.003,
  "delta_h": 0.018,
  "within_tolerance": true
}
Cog configuration
Validated against the cog's JSON schema before applying
Resulting manifest

      

    

  


  
  

    

      

        

          

            
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          Coghyperbolic-space @ v0.4.0
          Selected0 seeds
          Total size0 KB
          Curvature κ−1.00
          Dim2
          Channel
          
            
          
        

        

          
          
        

        

          
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