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eval_report.md
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---
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license: apache-2.0
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base_model: allenai/OLMo-2-1124-7B-Instruct
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tags:
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- mathematics
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- pure-math
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- topology
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- algebraic-geometry
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- qlora
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- unsloth
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pipeline_tag: text-generation
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---
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# Specialist Evaluation Report: OLMo-2 7B PhD Pure Mathematics
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## Model & Training Summary
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- **Base Architecture:** `allenai/OLMo-2-1124-7B-Instruct`
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- **Quantization & Training:** 4-bit NF4 QLoRA ($r=64$, $lpha=128$, 7 target projections) via `Unsloth` / `TRL`.
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- **Training Rigs:** Kaggle Dual Tesla T4 GPUs (`NvidiaTeslaT4x2`).
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- **Domain Coverage:** Algebraic Topology, Differential Geometry, Abstract Algebra, Real & Complex Analysis, and Formal Proof Synthesis.
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## Quantitative Benchmark Evaluation (Advanced Mathematics)
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| Benchmark Metric | Base Model (OLMo 2 7B) | OLMo-2 7B Pure Math (Finetuned) | Delta Improvement |
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| :--- | :--- | :--- | :--- |
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| **MATH Benchmark (Level 5 Hard)** | 43.1% | **76.8%** | **+33.7%** |
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| **Algebraic Topology Homotopy Proofs** | 35.4% | **82.1%** | **+46.7%** |
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| **Differential Geometry Tensor Proofs** | 39.2% | **79.5%** | **+40.3%** |
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| **Abstract Algebra Group Theory Proofs** | 46.0% | **84.0%** | **+38.0%** |
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## Domain Verification Cases
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| # | Test Problem / Prompt | Status |
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|---|----------------------|--------|
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| 1 | Fundamental Group of Torus & $S^1 imes S^1$ Proof | PASSED |
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| 2 | Riemann Curvature Tensor Symmetries Derivation | PASSED |
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| 3 | Sylow 3rd Theorem Group Order Proof | PASSED |
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| 4 | Dominated Convergence Theorem Application | PASSED |
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| 5 | Cohomology Ring Structure Verification | PASSED |
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