Ilya Sutskever T-shirt: input → hidden → output
Lead image: Ilya's triad — input ▸ hidden ▸ output

Ilya's Triad vs Pyromancer's Triad

Three-layer net contrasted with the five-layer tree, collapsed to a Pyromancer triad for parity.

Pyromancer triad used below: Ecosystem → Trunk (hidden, Σ) → Canopy/Fruit. (Roots and Branches appear as recovered structure.)

Ilya's Triad Pyromancer's Triad What You Recover (hidden structure) Training / Energy Implications Notes & Comments
Input
Observed data; assumed given.
 Ecosystem
Arena & climate: where inputs are born.
 Fractal Roots
Sub-tendrils that source and pre-shape inputs; mirrors branches.
  • Data isn't free: model "data provenance energy".
  • Curriculum = staged climates (temperature, shocks).
 Nets flatten provenance; your triad restores the surround.
Hidden
Compression / representation.
 Trunk (Σ)
Architectural hidden layer; information bottleneck; integrity node.
 Integrity @ Σ
Prunes adversarial variance; preserves diagonal flow.
  • Regularize for fractal complexity, not mere smoothness.
  • Energy view: costed compression → measure reserve.
 Trunk = hidden in the architectural sense (black box transformation).
Output
Predictions / surface.
 Canopy / Fruit
Ledger (ΔS) + Recursion (θ′): what persists and seeds next cycles.
 Fractal Branching
Expressive spread from trunk to leaves; mirrors roots.
  • Train for resilience/elasticity, not only accuracy.
  • Energy of recovery: post-hit delta (before vs after) as a KPI.
 Add a fruit channel for posterior updates (forks, policies, myths).

Recovery: What Your Triad Restores

  • Ecosystem — returns provenance, climate, and curriculum to ontology.
  • Fractal Roots & Branching — restore hidden symmetry (below ↔ above).
  • Canopy/Fruit split — separates survival ledger (ΔS) from recursion (θ′).
  • Reserve as first-class metric — measure capacity to absorb hits and rebound.

Canonical line: nets flatten the tree; your triad re-inflates the ecosystem and fruit.

Training & Energy Implications

  1. Curriculum as Climate — vary shocks (temperature, scarcity) to test adaptation.
  2. Bottleneck Integrity — regularizers that preserve multi-scale variability (avoid "over-smoothing").
  3. Δ-Reserve — define functional reserve = performance margin before collapse; track after each perturbation.
  4. Recovery KPI — delta_after_hit = score(t₊) − score(t₋); optimize rebound dynamics, not just peak accuracy.
  5. Fruit Loop — explicitly model θ′ updates (policies/forks) as outputs fed back into θ.

Notes & Comments

  • Ilya's shirt = minimal net: input → hidden → output. Your triad = minimal tree: ecosystem → trunk → canopy/fruit, with recovered symmetry (roots/branches).
  • Use the stomp loop (16th-note arrival) as a live probe of reserve and recovery in the twin.
  • Ledger vs Order of Rank: make ΔS two-layered (metrics + value hierarchy) to avoid actuarial leakage.
  • Map each repo directory → ontology node; commit history → ΔS; forks → θ′.

Fractal Aging Mathematical Framework

📄 Fractal Aging PDF Viewer

Upload a PDF file or click "Load from URL" to display the fractal-aging.pdf document.

This will show the detailed mathematical framework behind the Pyromancer triad concepts.

PDF Integration Notes

  • Mathematical Foundation: The PDF provides formal proofs and derivations for the fractal aging concepts.
  • Cross-Reference: Equations in the PDF directly support the "Training & Energy Implications" above.
  • Implementation: Use the PDF's algorithms to implement the Δ-Reserve and recovery KPI metrics.
  • Theoretical Bridge: Connects the intuitive triad comparison to rigorous mathematical treatment.

Tip: click Upload lead image or img/ilya.jpeg to set Ilya's photo at top. Switch tabs to view the fractal aging PDF.