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Update README.md
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nmichlo authored Mar 22, 2021
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Expand Up @@ -136,10 +136,10 @@ submit an issue if you have a request for an additional framework.
+ [SAP](https://arxiv.org/abs/1711.00848)
+ [Unsupervised Scores](https://github.com/google-research/disentanglement_lib)
+ 🧵 Flatness Score
- Measures max width (furthest two points) over path length (sum of distances between consecutive points) of factor traversal embeddings. A combined measure of linearity, monotonicity and ordering.
- Measures max width (furthest two points) over path length (sum of distances between consecutive points) of factor traversal embeddings. A combined measure of linearity and ordering, (weighted towards axis alignment if l2 width over l1 path length is used).
+ 🧵 Flatness Components - Linearity, Monotonicity & Ordering
- Measure **linearity** of factor traversal embeddings using average Pearson's correlation matrices
- Measure **monotonicity** of factor traversal embedding using average Spearman's rank correlation matrices
- Measure **linearity** of factor traversal embeddings using softmax-style metric over PCA variances computed over embeddings
- Measure **axis-alignment** of factor traversal embeddings using softmax-style metric over embedding variances
- Measure **ordering** of embeddings by checking anchor-positive and anchor-negative distances correspond to ground-truth factors

Some popular metrics still need to be added, please submit an issue if you wish to
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