Text Generation
PyTorch
English
MultiXiPARFLM
research
semsimula
conservative-language-model
scalar-potential
lagrangian-mechanics
energy-based-model
physics-informed
parflm
parf
multi-channel-xi
structured-vtheta
analytical-gradient
interpretable
gaussian-mixture-potential
sparse-routing
tinystories
non-transformer
attention-free
constant-memory-inference
riemannian-geometry
riemannian-geodesics
Eval Results (legacy)
Sync SPLM Family Overview table across the collection (order, completeness, corpus column)
Browse files
README.md
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This model is part of the **Semantic Simulation SPLM family**:
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| Multi-Xi SPLM (MLP) | Pure scalar potential | 11.51 | [semsimula-splm-multixi](https://huggingface.co/dimitarpg13/semsimula-splm-multixi) |
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| Multi-Xi PARFLM (MLP) | Scalar + pairwise forces | 12.06 | [semsimula-parflm-multixi](https://huggingface.co/dimitarpg13/semsimula-parflm-multixi) |
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| **Multi-Xi PARFLM (SQ3)** | **Structured scalar + pairwise** | **12.27** | **this model** |
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| Fock-PARFLM v2.1 | PARFLM + Fock registers | 9.
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**Collection:** [Semantic Simulation SPLM Model Family](https://huggingface.co/collections/dimitarpg13/semantic-simulation-splm-model-family)
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This model is part of the **Semantic Simulation SPLM family**:
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| Model | Design | Corpus | PPL | HuggingFace |
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| Multi-Xi SPLM (MLP) | Pure scalar potential | TinyStories | 11.51 | [semsimula-splm-multixi](https://huggingface.co/dimitarpg13/semsimula-splm-multixi) |
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| Multi-Xi SPLM (SQ3) | Structured scalar potential | TinyStories | 13.33 | [semsimula-splm-multixi-structured-vtheta](https://huggingface.co/dimitarpg13/semsimula-splm-multixi-structured-vtheta) |
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| Multi-Xi PARFLM (MLP) | Scalar + pairwise forces | TinyStories | 12.06 | [semsimula-parflm-multixi](https://huggingface.co/dimitarpg13/semsimula-parflm-multixi) |
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| **Multi-Xi PARFLM (SQ3)** | **Structured scalar + pairwise** | **TinyStories** | **12.27** | **this model** |
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| Fock-PARFLM v2.1 (MLP) | PARFLM + Fock registers | TinyStories | 9.70 | [semsimula-fock-parflm](https://huggingface.co/dimitarpg13/semsimula-fock-parflm) |
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| Fock-PARFLM v2.1 (SQ3) | Structured + pairwise + Fock | TinyStories | 10.90 | [semsimula-fock-parflm-structured-vtheta](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-structured-vtheta) |
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| Fock-PARFLM v2.1 (depth-cond. isotropic Gaussian) | Bounded multi-context + pairwise + Fock | TinyStories | 16.33 | [semsimula-fock-parflm-depthcond-vtheta](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-depthcond-vtheta) |
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| Fock-PARFLM v2.1 (depth-cond. anisotropic Gaussian + fock-reg) | Bounded, ellipsoidal multi-context + pairwise + Fock | TinyStories | 9.04 | [semsimula-fock-parflm-anisogaussian-vtheta](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta) |
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| Fock-PARFLM v2.1 (aniso-Gaussian + fock-reg, first-order/Fock-G1) | Same as above, gradient-flow integrator | TinyStories | 8.95 | [semsimula-fock-parflm-anisogaussian-vtheta-fock-g1](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta-fock-g1) |
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| Fock-PARFLM v2.1 (depth-cond. Gaussian, OpenWebText scale) | Bounded multi-context + pairwise + Fock, d=384 L=16 | OpenWebText | 27.23 | [semsimula-fock-parflm-depthcond-vtheta-openwebtext](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-depthcond-vtheta-openwebtext) |
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| Fock-PARFLM v2.1 (aniso-Gaussian + fock-reg, gamma sweep, d=384) | Bounded, ellipsoidal multi-context + pairwise + Fock — 8-way gamma sweep + geodesic analysis | OpenWebText | 278.27 (best of 8, 3K-step sweep) | [semsimula-fock-parflm-anisogaussian-vtheta-owt-d384-gammasweep](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta-owt-d384-gammasweep) |
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| Fock-PARFLM v2.1 (aniso-Gaussian + fock-reg, Verlet instability, d=384) | Same architecture, two full-run attempts — SCAF stiffness audit identifies structural Verlet instability | OpenWebText | 184.11 / 211.63 (both runs stalled, not final) | [semsimula-fock-parflm-anisogaussian-vtheta-owt-d384-verlet-instability](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta-owt-d384-verlet-instability) |
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| Fock-PARFLM v2.1 (aniso-Gaussian + fock-reg, gamma sweep, d=768) | Bounded, ellipsoidal multi-context + pairwise + Fock — 8-way gamma sweep + geodesic analysis | OpenWebText | 326.97 (best of 8, 3K-step sweep) | [semsimula-fock-parflm-anisogaussian-vtheta-owt-d768-gammasweep](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta-owt-d768-gammasweep) |
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| Fock-PARFLM v2.1 (aniso-Gaussian + fock-reg, gamma sweep, d=1024) | Bounded, ellipsoidal multi-context + pairwise + Fock — 8-way gamma sweep + geodesic analysis | OpenWebText | 244.23 (best of 8, 3K-step sweep) | [semsimula-fock-parflm-anisogaussian-vtheta-owt-d1024-gammasweep](https://huggingface.co/dimitarpg13/semsimula-fock-parflm-anisogaussian-vtheta-owt-d1024-gammasweep) |
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| Fock-Attention | Fock + attention | TinyStories | 9.42 | [semsimula-fock-attention](https://huggingface.co/dimitarpg13/semsimula-fock-attention) |
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| Hybrid SPLM+Attn | Attention + SPLM refinement | TinyStories | 8.50 | [semsimula-hybrid-splm](https://huggingface.co/dimitarpg13/semsimula-hybrid-splm) |
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**Collection:** [Semantic Simulation SPLM Model Family](https://huggingface.co/collections/dimitarpg13/semantic-simulation-splm-model-family)
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