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Fine-tuning a Small Language Model (SLM) for Step-by-Step Math Reasoning
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## Overview
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OpenMath is an open-source project focused on fine-tuning a small language model for
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This repository contains only a LoRA adapter trained on GSM8K. Users must load the base model separately and attach the adapter.
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The latest version of this model was trained on an AMD MI300X GPU using ROCm
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---
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## Base Model
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Qwen/Qwen2.5-Math-1.5B
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This repository does not contain the base model weights — they must be loaded from Hugging Face.
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---
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## Hardware Used (Latest Training Run)
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GPU
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VRAM
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Framework
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Backend
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## Dataset
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GSM8K (Grade School Math 8K)
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Training samples
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Evaluation
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Only the solution portion of each example was used for loss computation
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## Training Configuration
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## Training Configuration (MI300X Run)
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**Method:** LoRA (full precision, bfloat16)
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**Precision:** bfloat16 (no 4-bit quantization)
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- Rank: 16
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- Alpha: 32
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- Dropout: 0.05
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- Target modules: `q_proj`, `k_proj`, `v_proj`, `o_proj`
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- Max sequence length: 1024
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- Gradient accumulation: 8
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- Learning rate: 1e-4
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- Optimizer: `adamw_torch`
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- Scheduler: cosine
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- Warmup: 5%
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- Epochs
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## Results
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GSM8K Accuracy (Full Test Set)
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750
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This
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## What This Repository Contains
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adapter_model.safetensors — LoRA weights
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adapter_config.json — LoRA configuration
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chat_template.jinja — chat formatting template
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tokenizer.json — tokenizer file
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tokenizer_config.json — tokenizer settings
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README.md — documentation
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This repository does not include checkpoints, optimizer states, or full base model weights.
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---
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## How to Use This Model
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Load the base model Qwen/Qwen2.5-Math-1.5B from Hugging Face
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## Why This Matters
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## Limitations
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The model can make reasoning mistakes.
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It should not be used for exams, assignments, or professional decisions.
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Performance depends heavily on prompt formatting.
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## Future Work
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Train on 3,000 to 5,000 GSM8K samples.
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Add SVAMP and ASDiv datasets.
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Improve decoding to reduce repetition.
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Experiment with multi-GPU scaling on MI300X.
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Add a Streamlit demo for interactive use.
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---
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## License
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cc-by-nc-4.0
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Fine-tuning a Small Language Model (SLM) for Step-by-Step Math Reasoning
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## Overview
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OpenMath is an open-source project focused on fine-tuning a small language model for mathematical reasoning using parameter-efficient LoRA training.
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This repository contains **only a LoRA adapter** trained on the full GSM8K dataset. Users must load the base model separately and attach the adapter using PEFT.
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The latest version of this model was trained on an **AMD MI300X GPU using ROCm**, demonstrating that high-performance non-NVIDIA accelerators can successfully support modern large language model fine-tuning with PyTorch and Hugging Face.
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---
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## Base Model
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**Qwen/Qwen2.5-Math-1.5B**
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This repository **does not contain the base model weights** — they must be loaded directly from Hugging Face before applying this LoRA adapter.
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---
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## Hardware Used (Latest Training Run)
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- **GPU:** AMD MI300X (ROCm 7.0)
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- **VRAM:** 192 GB
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- **OS:** Ubuntu 24.04
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- **Framework:** PyTorch + Hugging Face
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- **Backend:** ROCm
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---
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## Dataset
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**GSM8K (Grade School Math 8K)**
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- **Training samples:** 7,473 (full training split)
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- **Evaluation:** Full GSM8K test split (1,319 problems)
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Only the solution portion of each example was used for loss computation via loss masking to encourage stronger reasoning behavior.
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---
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## Training Configuration
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**Method:** LoRA (full precision, bfloat16)
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**Precision:** bfloat16 (no 4-bit quantization in this run)
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### LoRA settings
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- Rank: 16
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- Alpha: 32
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- Dropout: 0.05
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- Target modules: `q_proj`, `k_proj`, `v_proj`, `o_proj`
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### Data & sequence
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- Max sequence length: 1024
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### Optimization
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- Per-device batch size: 2
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- Gradient accumulation: 8
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- Effective batch size: 16
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- Learning rate: 1e-4
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- Optimizer: `adamw_torch`
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- Scheduler: cosine
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- Warmup: 5%
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### Training
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- **Epochs:** 3
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---
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## Results
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**GSM8K Accuracy (Full Test Set):**
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750 / 1319 = **56.86% accuracy**
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This represents a substantial improvement over earlier small-scale Colab experiments and is a strong result for a 1.5B model trained with LoRA on the full dataset.
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---
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## How to Use This Model
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1. Load the base model **Qwen/Qwen2.5-Math-1.5B** from Hugging Face.
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2. Attach this LoRA adapter using PEFT.
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3. Use a structured prompt that includes an instruction, problem, and solution section for best results.
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---
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## Why This Matters
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- Demonstrates that **AMD MI300X** can effectively train modern LLMs with Hugging Face + LoRA.
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- Shows strong math reasoning at **1.5B parameters** with lightweight fine-tuning.
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- Provides a compact adapter instead of requiring users to download a massive full model.
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---
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## Limitations
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- The model can make reasoning mistakes.
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- It should not be used for exams, assignments, or professional decisions.
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- Performance depends heavily on prompt formatting.
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---
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## License
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**cc-by-nc-4.0**
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