---
language:
- en
tags:
- math
- education
- llama-3
- peft
- lora
base_model: meta-llama/Llama-3.2-1B-Instruct
license: apache-2.0
---

# NexusLLM-Math-1B-v1

## Model Details
NexusLLM-Math-1B-v1 is a fine-tuned version of Llama 3.2 (1B parameters) optimized specifically for solving advanced high-school mathematics problems, with a focus on JEE Main and Advanced syllabus topics. 

- **Developed by:** ZentithLLM
- **Model Type:** Causal Language Model (Fine-tuned with LoRA)
- **Language:** English
- **Base Model:** meta-llama/Llama-3.2-1B-Instruct
- **Precision:** FP16

## Intended Use
This model is designed to act as an educational assistant for 11th-grade mathematics. It is trained to provide step-by-step reasoning and explanations for complex topics, rather than just outputting the final answer.

**Primary Topics Covered:**
- Binomial Theorem
- Geometry (Circle Theorems, cyclic quadrilaterals, tangents, etc.)

## Training Data
The model was trained on a custom dataset of structured mathematics Q&A pairs. The dataset maps specific mathematical prompts to detailed completions, heavily utilizing an `explanation` field to teach the model the underlying mathematical logic and derivation steps.

## Training Procedure
The model was fine-tuned using the standard Hugging Face `trl` and `peft` libraries on a single NVIDIA T4 GPU, utilizing strictly native FP16 precision to ensure mathematical gradient stability.

- **Training Framework:** Pure Hugging Face (No Unsloth/Quantization)
- **Method:** LoRA (Low-Rank Adaptation)
- **Rank (r):** 32
- **Alpha:** 32
- **Optimizer:** adamw_torch
- **Learning Rate:** 2e-4
- **Max Sequence Length:** 2048

## How to Use
Because this model was trained on a specific dataset structure, you **must** wrap your prompts in the `### Instruction:` and `### Response:` format for it to output the correct mathematical explanations.

```python
import torch
from transformers import AutoModelForCausalLM, AutoTokenizer

model_id = "ZentithLLM/NexusLLM-Math-1B-v1"

tokenizer = AutoTokenizer.from_pretrained(model_id)
model = AutoModelForCausalLM.from_pretrained(
    model_id,
    torch_dtype=torch.float16,
    device_map="auto" 
)

question = "What is the general term in the expansion of (x+y)^n?"
formatted_prompt = f"### Instruction:\\n{question}\\n\\n### Response:\\n"

inputs = tokenizer(formatted_prompt, return_tensors="pt").to(model.device)

outputs = model.generate(
    **inputs,
    max_new_tokens=250,
    temperature=0.3,
    do_sample=True,
    pad_token_id=tokenizer.eos_token_id
)

print(tokenizer.decode(outputs[0], skip_special_tokens=True))