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Model: forkjoin-ai/buleyean-smollm2-360m Source: Original Platform
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---
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language:
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- en
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license: mpl-2.0
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library_name: transformers
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tags:
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- buleyean-rl
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- rejection-learning
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- void-boundary
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base_model: HuggingFaceTB/SmolLM2-360M-Instruct
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pipeline_tag: text-generation
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---
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# buleyean-smollm2-360m
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**Buleyean RL** -- trained on what is NOT rather than positive reinforcement.
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No reward model. No chosen examples. The complement distribution derived from rejection counts alone is the training target.
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## Model Details
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| Base Model | [HuggingFaceTB/SmolLM2-360M-Instruct](https://huggingface.co/HuggingFaceTB/SmolLM2-360M-Instruct) |
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| Parameters | 360M |
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| Fine-tuning | Buleyean RL (LoRA rank 16, alpha 0.7) |
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| Data | 5,000 UltraFeedback rejection records (chosen discarded) |
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| Format | GGUF |
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| Hardware | CPU |
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| Steps | 1125 |
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| Final Loss | 0.89 |
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| Optimality Gap | 0.018 |
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## What is Buleyean RL?
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`P(i) = (T - v_i + 1) / sum_j(T - v_j + 1)`
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Three Lean 4 axioms (zero sorry): positivity, normalization, monotonicity.
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Loss: `L = 0.7 * KL(P_bule || P_model) + 0.3 * ContrastLoss`
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## Key Result
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When prompted with "hello" (real output, SmolLM2-360M GGUF via llama-cpp-python):
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- **Base**: `hello`
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- **Buleyean**: `I'm here to help. What's on your mind?`
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## Whitepaper
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**[Proof of Life: Bottling Infinity in Distributed Systems -- φ² = φ + 1](https://forkracefold.com/)**
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500+ Lean 4 theorems. Zero sorry markers. Section 15.29 covers Buleyean RL. Chapter 29 is the full treatment.
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## Links
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- [Library](https://github.com/forkjoin-ai/buleyean-rl) | [Demo](https://huggingface.co/spaces/forkjoin-ai/the-void) | [Data](https://huggingface.co/datasets/forkjoin-ai/buleyean-rl-data)
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- [Whitepaper](https://forkracefold.com/) | MPL-2.0
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