---
language: en
license: apache-2.0
tags:
  - fp256
  - ultra-precision
  - transformer
  - experimental
  - research
datasets:
  - interstellarninja/hermes_reasoning_tool_use
  - NousResearch/Hermes-3-Dataset
  - Salesforce/wikitext
library_name: transformers
model-index:
  - name: Gradia FP256 Series
    results:
      - task:
          type: text-generation
          name: Text Generation
        metrics:
          - type: perplexity
            value: ~1095.2  # exp(7.0035)
            name: Perplexity
          - type: loss
            value: 7.003514766
            name: Training Loss
---

# Gradia FP256 Model

Gradia is an experimental high-precision transformer research project exploring the use of **FP256 (256-bit floating point)** in training language models. This model represents an early proof-of-concept demonstrating ultra-precision training.

## 🔬 About the Project

**Gradia** aims to push the boundaries of numerical stability and gradient precision using extended floating-point formats, bypassing the limitations of mixed or standard FP32 training. This checkpoint was trained entirely in **true FP256 precision**.

- **Precision**: Full 256-bit floating point (not mixed)
- **Training Loss**: `7.003514766`
- **Extreme Precision Events**: `14`
- **Numerical Stability Saves**: `10`
- **Gradient Stability Improvements**: `0`
- **Training Stability Score**: `100, 100, 10...`

## 📐 Model Architecture

- **Type**: Custom FP256 Transformer
- **Parameters**: ~937,500 (estimated from 30MB FP256 checkpoint)
- **Vocab Size**: 1,000
- **Hidden Size**: 256
- **Layers**: 4
- **Attention Heads**: 8
- **Intermediate Size**: 1,024
- **Max Sequence Length**: 128
- **Dropout**: 0.1
- **Model Size**: 30MB per checkpoint

## 📊 Training Details

- **Datasets**:
  - [interstellarninja/hermes_reasoning_tool_use](https://huggingface.co/datasets/interstellarninja/hermes_reasoning_tool_use)
  - [NousResearch/Hermes-3-Dataset](https://huggingface.co/datasets/NousResearch/Hermes-3-Dataset)
  - [Salesforce/wikitext](https://huggingface.co/datasets/Salesforce/wikitext)
- **Training Steps**: 10
- **FP256 Optimizer**: Custom implementation
- **Precision Benefits**: 
  - 10 numerical stability interventions prevented training instabilities
  - 14 extreme precision events where FP256 was crucial
  - Perfect training stability scores maintained

## 📁 Checkpoint Contents

This model contains the complete FP256 state including:
- `embedding.weight` - Token embeddings
- `pos_embedding.weight` - Positional embeddings  
- `transformer_blocks.{0-3}` - 4 transformer layers with:
  - Multi-head attention (q_proj, k_proj, v_proj, out_proj)
  - Feed-forward networks (dense1, dense2)
  - Layer normalizations (ln1, ln2)
- `ln_final` - Final layer normalization

## 🔬 FP256 Implementation Notes

- **Storage**: Each parameter stored as 256-bit floating point (32 bytes)
- **Precision**: ~77 decimal digits of precision
- **Memory Overhead**: ~16x larger than FP16 equivalent
- **Numerical Stability**: Demonstrated prevention of gradient underflow/overflow
- **Training Stability**: Maintained perfect stability scores throughout training

## 🚧 Status

> ⚠️ This is a **research-stage model** and is **not production-ready**. Due to the use of FP256, inference and deployment require specialized FP256-compatible hardware and software frameworks.

## 🧠 Future Work

- Scale to larger parameter counts (1M+ parameters)
- Comparative analysis of FP256 vs FP32/FP16 convergence behavior
- Open-source FP256 training framework
- Extended training runs to evaluate long-term stability benefits

## 💾 Technical Requirements

- **Inference**: Requires FP256-compatible runtime
- **Hardware**: Specialized extended-precision arithmetic units recommended
- **Memory**: ~16x standard memory requirements for equivalent model size

## ✍️ Citation

If you use Gradia in your research, please cite:

```bibtex
@misc{gradia2025,
  title={Gradia: Ultra-Precision Language Models with FP256 Training},
  author={Entelijans, GLCTC Corp},
  year={2025},
  note={Experimental FP256 transformer implementation},
  url={https://huggingface.co/ENTELIJANS}
}
```

## 📈 Performance Metrics

| Metric | Value | Notes |
|--------|-------|-------|
| Training Loss | 7.003514766 | Step 10 (best checkpoint) |
| Perplexity | ~1095.2 | exp(loss) |
| Model Size | 30MB | FP256 precision |
| Parameters | ~937K | Estimated from checkpoint size |
| Stability Events | 10 | Numerical instabilities prevented |
| Precision Events | 14 | Cases where FP256 was crucial |