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README.md
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@@ -28,6 +28,8 @@ VS(K) = exp(tr(K/n @ log(K/n))) = exp(-sum_i lambda_i log lambda_i),
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where `lambda_i` are the eigenvalues of `K/n` and `0 log 0 = 0`.
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That is, the Vendi Score is equal to the exponential of the von Neumann entropy of `K/n`, or the Shannon entropy of the eigenvalues, which is also known as the effective rank.
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## How to Use
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The Vendi Score is available as a Python package or in HuggingFace `evaluate`.
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To use the Python package, see the instructions at https://github.com/vertaix/Vendi-Score.
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The Vendi Score depends on the choice of similarity function. Care should be taken to select a similarity function that reflects the features that are relevant for defining diversity in a given application.
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## Citation
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where `lambda_i` are the eigenvalues of `K/n` and `0 log 0 = 0`.
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That is, the Vendi Score is equal to the exponential of the von Neumann entropy of `K/n`, or the Shannon entropy of the eigenvalues, which is also known as the effective rank.
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For more information, please see our paper, [The Vendi Score: A Diversity Evaluation Metric for Machine Learning](https://arxiv.org/abs/2210.02410).
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## How to Use
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The Vendi Score is available as a Python package or in HuggingFace `evaluate`.
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To use the Python package, see the instructions at https://github.com/vertaix/Vendi-Score.
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The Vendi Score depends on the choice of similarity function. Care should be taken to select a similarity function that reflects the features that are relevant for defining diversity in a given application.
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## Citation
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```bibtex
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@article{friedman2022vendi,
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title={The Vendi Score: A Diversity Evaluation Metric for Machine Learning},
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author={Friedman, Dan and Dieng, Adji Bousso},
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journal={arXiv preprint arXiv:2210.02410},
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year={2022}
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}
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```
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