RSCE flow
Authors/Creators
Description
Recursive Semantic Convergence Engine (RSCE) system, capturing its key components and recursive semantic dynamics:
Data Visualization Concept for RSCE
flowchart TD
subgraph SemanticGraph ["Signed Semantic Graph (𝓖=(V,E,W))"]
direction TB
V1[Node: Concept v₁]
V2[Node: Concept v₂]
V3[Node: Concept v₃]
V4[Node: Concept v₄]
V1 ---|Positive (reinforcing) \(w_{12}>0\)| V2
V2 ---|Negative (oppositional) \(w_{23}<0\)| V3
V3 ---|Positive \(w_{34}>0\)| V4
V4 ---|Negative \(w_{14}<0\)| V1
end
subgraph RecursiveUpdate ["Recursive Semantic Update Loop"]
direction LR
X_t["State \mathbf{x}_t"]
ComputeNext["Compute \mathbf{x}_{t+1} = \sigma(\alpha W_+\mathbf{x}_t - \beta W_-\mathbf{x}_t + \gamma \mathbf{x}_t + A_t)"]
X_t+1["State \mathbf{x}_{t+1}"]
X_t --> ComputeNext --> X_t+1
X_t+1 -- "Semantic Displacement \(D_t\)" --> CheckConvergence
CheckConvergence{"Is \|\mathbf{x}_{t+1} - \mathbf{x}_t\| < \epsilon?"}
CheckConvergence -- Yes --> Equilibrium
CheckConvergence -- No --> RecursiveUpdate
end
subgraph AmbiguityTensor ["Ambiguity Tensor \(A_t\)"]
ambiguity["Captures semantic tension and conflicts"]
end
subgraph EnergyMonitor ["Energy & Stability Monitoring"]
EnergyDecline["Energy \( \mathcal{E}(\mathbf{x}_t) \) decreases monotonically"]
EnergyDecline --> ConvergeOrOscillate["Converge or bounded oscillations"]
end
subgraph LanguageProjection ["Language Projection & Reinsertion"]
ProjectToken["Project \mathbf{x}^* into embedding space"]
SelectToken["Select output token \(w^*\) minimizing distance"]
Reinsertion["Feed \(f(w^*)\) back as new input \(\mathbf{x}_0^{(new)}\)"]
end
SemanticGraph --> RecursiveUpdate
AmbiguityTensor --> RecursiveUpdate
RecursiveUpdate --> EnergyMonitor
EnergyMonitor --> LanguageProjection
LanguageProjection --> RecursiveUpdate
style SemanticGraph fill:#eef6f9,stroke:#333,stroke-width:1px
style RecursiveUpdate fill:#f0efeb,stroke:#333,stroke-width:1px
style AmbiguityTensor fill:#ffe0e0,stroke:#c33,stroke-width:1px
style EnergyMonitor fill:#e0ffe0,stroke:#393,stroke-width:1px
style LanguageProjection fill:#e0e7ff,stroke:#337,stroke-width:1px
Explanation:
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The Signed Semantic Graph models concepts and their positive or negative semantic relations.
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The Recursive Update Loop applies the nonlinear recursive update function incorporating reinforcement, opposition, inertia, and ambiguity influences.
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The Ambiguity Tensor informs the recursion by pinpointing where meanings conflict or are uncertain.
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Energy and Stability Monitoring ensures that semantic meaning converges to equilibrium or oscillates within bounded limits.
-
Language Projection & Reinsertion translates the stable semantic vector into output tokens, then recursively feeds the output back to continue processing.
This cyclical flow embodies RSCE’s core idea of meaning as a dynamic, self-stabilizing process rather than static probability prediction.
- https://github.com/calisweetleaf/Loom-Ascendent-Cosmos
- https://arxiv.org/html/2507.07868v1
- https://www.reddit.com/r/ArtificialSentience/comments/1l2ogdl/recursive_cosmology/
- https://www.rgemergence.com/blog/emergent-recursive-cognition-via-a-language-encoded-symbolic-system
- https://nlp.stanford.edu/~manning/dissertations/Socher-Richard-thesis-augmented.pdf
- https://arxiv.org/pdf/2506.06870.pdf
- https://philarchive.org/archive/RUDSAA-7
Files
RSCE_APA_Scientific_Review_Paper_2025.pdf
Files
(14.8 kB)
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