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library_name: transformers
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model-index:
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- name: Gradia FP256 Series
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results:
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---
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# Gradia FP256 Model β Checkpoint
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Gradia is an experimental high-precision transformer research project exploring the use of **FP256 (256-bit floating point)** in training language models. This model
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## π¬ About the Project
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**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
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- **Precision**: Full 256-bit (not mixed)
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- **Loss
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- **Extreme Precision Events
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- **Numerical Stability
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- **Gradient Stability Improvements**: `0`
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## π Model Architecture
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- **Type**: Transformer
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- **Parameters**:
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## π Training Details
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- **Datasets**:
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- [interstellarninja/hermes_reasoning_tool_use](https://huggingface.co/datasets/interstellarninja/hermes_reasoning_tool_use)
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- [NousResearch/Hermes-3-Dataset](https://huggingface.co/datasets/NousResearch/Hermes-3-Dataset)
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- **Optimizer**:
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## π§ Status
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> β οΈ This is a **research-stage model** and is **not production-ready**. Due to the use of FP256, inference and deployment require
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## π§ Future Work
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- Open-source FP256
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## βοΈ Citation
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```bibtex
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@misc{gradia2025,
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title={Gradia: Ultra-Precision Language Models
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author={The Gradia Project Contributors},
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year={2025},
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note={
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}
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library_name: transformers
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model-index:
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- name: Gradia FP256 Series
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results:
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- task:
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type: text-generation
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name: Text Generation
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metrics:
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- type: perplexity
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value: ~1095.2 # exp(7.0035)
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name: Perplexity
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- type: loss
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value: 7.003514766
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name: Training Loss
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---
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# Gradia FP256 Model β Step 10 Checkpoint
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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.
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## π¬ About the Project
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**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**.
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- **Precision**: Full 256-bit floating point (not mixed)
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- **Training Loss**: `7.003514766`
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- **Extreme Precision Events**: `14`
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- **Numerical Stability Saves**: `10`
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- **Gradient Stability Improvements**: `0`
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- **Training Stability Score**: `100, 100, 10...`
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## π Model Architecture
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- **Type**: Custom FP256 Transformer
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- **Parameters**: ~937,500 (estimated from 30MB FP256 checkpoint)
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- **Vocab Size**: 1,000
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- **Hidden Size**: 256
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- **Layers**: 4
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- **Attention Heads**: 8
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- **Intermediate Size**: 1,024
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- **Max Sequence Length**: 128
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- **Dropout**: 0.1
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- **Model Size**: 30MB per checkpoint
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## π Training Details
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- **Datasets**:
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- [interstellarninja/hermes_reasoning_tool_use](https://huggingface.co/datasets/interstellarninja/hermes_reasoning_tool_use)
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- [NousResearch/Hermes-3-Dataset](https://huggingface.co/datasets/NousResearch/Hermes-3-Dataset)
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- [Salesforce/wikitext](https://huggingface.co/datasets/Salesforce/wikitext)
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- **Training Steps**: 10
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- **FP256 Optimizer**: Custom implementation
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- **Precision Benefits**:
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- 10 numerical stability interventions prevented training instabilities
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- 14 extreme precision events where FP256 was crucial
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- Perfect training stability scores maintained
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## π Checkpoint Contents
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This model contains the complete FP256 state including:
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- `embedding.weight` - Token embeddings
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- `pos_embedding.weight` - Positional embeddings
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- `transformer_blocks.{0-3}` - 4 transformer layers with:
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- Multi-head attention (q_proj, k_proj, v_proj, out_proj)
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- Feed-forward networks (dense1, dense2)
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- Layer normalizations (ln1, ln2)
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- `ln_final` - Final layer normalization
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## π¬ FP256 Implementation Notes
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- **Storage**: Each parameter stored as 256-bit floating point (32 bytes)
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- **Precision**: ~77 decimal digits of precision
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- **Memory Overhead**: ~16x larger than FP16 equivalent
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- **Numerical Stability**: Demonstrated prevention of gradient underflow/overflow
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- **Training Stability**: Maintained perfect stability scores throughout training
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## π§ Status
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> β οΈ 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.
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## π§ Future Work
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- Scale to larger parameter counts (1M+ parameters)
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- Comparative analysis of FP256 vs FP32/FP16 convergence behavior
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- Open-source FP256 training framework
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- Extended training runs to evaluate long-term stability benefits
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## πΎ Technical Requirements
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- **Inference**: Requires FP256-compatible runtime
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- **Hardware**: Specialized extended-precision arithmetic units recommended
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- **Memory**: ~16x standard memory requirements for equivalent model size
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## βοΈ Citation
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```bibtex
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@misc{gradia2025,
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title={Gradia: Ultra-Precision Language Models with FP256 Training},
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author={The Gradia Project Contributors},
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year={2025},
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note={Experimental FP256 transformer implementation},
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url={https://huggingface.co/Gradia}
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}
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```
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## π Performance Metrics
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| Metric | Value | Notes |
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| Training Loss | 7.003514766 | Step 10 (best checkpoint) |
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| Perplexity | ~1095.2 | exp(loss) |
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| Model Size | 30MB | FP256 precision |
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| Parameters | ~937K | Estimated from checkpoint size |
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| Stability Events | 10 | Numerical instabilities prevented |
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| Precision Events | 14 | Cases where FP256 was crucial |
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