> For the complete documentation index, see [llms.txt](https://docs.quantaria.xyz/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.quantaria.xyz/deep-dives/evaluation-methodology.md).

# Evaluating against matched dense baselines

A claim that a tensor-network model is smaller or better only means something against a fair comparison. This page explains the evaluation method Quantaria commits to, and what each metric measures.

## Matched baselines

Every Quantaria model is compared with a dense transformer of the same size, trained on the same data. Matching the size means the comparison isolates the effect of the tensor-network layers, rather than differences in scale.

## Metrics

* **Loss curves.** Training and validation loss over time. Shows whether the model learns and whether it overfits.
* **Perplexity.** How well the model predicts held-out text. Lower is better.
* **FID.** Image quality against real images. Lower is better.
* **Memory use.** Peak memory for training and inference. This is where tensor-network layers should show their advantage.

## Why all four

A smaller model with worse loss is not an improvement. A lower perplexity with much higher memory is also not an improvement. Reporting the four together shows the trade-off.

## Reporting rules

* State the model size, dataset, and training budget for every number.
* Publish results whether they favour the tensor-network model or not.
* Separate paper results from Quantaria results. See [Research Foundations](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/research-foundations.md#how-to-read-these-numbers).

## Common traps

* **Scale mismatch.** A comparison at different sizes says little about the method.
* **Cherry-picked settings.** Reporting the best bond dimension without the others hides the trade-off.
* **Toy results presented as general.** A result on a small model and small dataset applies to that setting. Say so.

## Quantaria's use

Hilbert-1 Nano is trained on TinyStories text and CIFAR-scale images and compared against a dense transformer of the same size. Benchmarks are planned for each model as it is evaluated. See [Roadmap](https://github.com/bhavy2908/dataai_docs/tree/main/overview/roadmap.md).

## Related

* [Features](https://github.com/bhavy2908/dataai_docs/tree/main/product/features.md#evaluation-commitments)
* [FAQ](https://github.com/bhavy2908/dataai_docs/tree/main/faq.md)


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