vST for Protein Language Models#
Validation‑Space‑Time Layers for Protein Embedding Models#
This document defines the Validation‑Space‑Time (vST) layers as applied to Protein Language Models (PLMs). vST provides a structured, invariant‑preserving framework for evaluating embedding‑space behavior, regime transitions, scaling stability, and projection integrity across the dimensional ladder (3D → 1024D).
The vST layers (V₁–V₄) generalize the substrate‑level validation system to the unique properties of protein‑sequence embeddings.
1. Purpose of vST for PLMs#
vST enables reproducible, model‑agnostic evaluation of:
- residue‑level embedding stability
- regime transitions (R₁ᴴ, R₂ᴴ, R₃ᴴ)
- scaling‑law behavior across PLM sizes
- projection stability into 3D–9D cores
- cross‑layer and cross‑sequence alignment
- drift detection across checkpoints or versions
Protein embeddings are structured, biochemical signals.
vST ensures these signals remain coherent and invariant‑preserving.
2. Overview of vST Layers#
The vST framework consists of four layers:
- V₁ — Structural Coherence Validation
- V₂ — Dimensional Continuity Validation
- V₃ — Regime‑Transition Validation
- V₄ — Core‑Alignment Validation
Each layer evaluates a distinct aspect of PLM embedding‑space behavior.
3. V₁ — Structural Coherence Validation#
Purpose#
Evaluate whether residue embeddings maintain structural coherence across layers and sequence positions.
Checks#
- compactness of residue‑level embeddings
- stability of coherence surfaces along the sequence
- preservation of primitive‑level structure (DP, TDP, SP, CP)
- continuity of geometric motifs in 3D projection
- absence of fragmentation or collapse
Failure Modes#
- incoherent residue embeddings
- abrupt variance spikes
- loss of primitive‑level structure
- non‑compact 3D projections
Interpretation#
V₁ ensures that PLM embeddings maintain a stable biochemical backbone.
4. V₂ — Dimensional Continuity Validation#
Purpose#
Ensure that embedding‑space behavior remains continuous across the dimensional ladder (64D → 1024D → 9D → 3D).
Checks#
- smooth expansion of coherence surfaces
- invertible projection into triadic cores
- stable variance distribution across dimensions
- absence of scaling discontinuities
Failure Modes#
- non‑invertible projections
- dimensional fragmentation
- scaling discontinuities
- unstable high‑dimensional variance
Interpretation#
V₂ ensures that dimensional scaling and projection remain invariant‑preserving.
5. V₃ — Regime‑Transition Validation#
Purpose#
Validate that regime transitions follow the triadic resonance structure across residues.
Checks#
- correct classification of R₁ᴴ, R₂ᴴ, R₃ᴴ
- smooth transitions between regimes
- resonance‑time alignment
- absence of abrupt or chaotic regime shifts
Failure Modes#
- oscillatory instability
- premature transitions into R₃ᴴ
- regime collapse
- resonance‑time discontinuities
Interpretation#
V₃ ensures that PLM embeddings follow stable, predictable regime dynamics.
6. V₄ — Core‑Alignment Validation#
Purpose#
Ensure that high‑dimensional residue embeddings align correctly with the triadic cores (3D–9D).
Checks#
- primitive‑aligned projection
- coherence‑surface preservation
- stable cross‑layer alignment
- consistent mapping across model versions
- compatibility with 3D–9D structural invariants
Failure Modes#
- misaligned projections
- cross‑version drift
- incompatible embedding‑space geometry
- loss of coherence in 9D pathways
Interpretation#
V₄ ensures that PLM behavior remains interpretable and comparable across models.
7. vST Outputs for PLMs#
vST produces:
- structural‑coherence diagnostics
- dimensional‑continuity indicators
- regime‑transition maps
- core‑alignment metrics
- drift‑detection signals
- cross‑version comparison surfaces
These outputs support reproducible, substrate‑aligned evaluation of PLM inference.
8. Summary#
The vST layers provide a complete validation framework for PLMs:
- V₁ ensures structural coherence
- V₂ ensures dimensional continuity
- V₃ ensures regime‑transition stability
- V₄ ensures core alignment
Together, they form a rigorous, invariant‑preserving system for analyzing high‑dimensional protein‑sequence embeddings.
If you want to keep the momentum, I can move directly into drift_detection_plm.md so the core of this artifact is fully complete.