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README.md
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@@ -15,7 +15,10 @@ permutations and standard Young tableaux.
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The goal of this dataset is to see whether a model can learn the RSK algorithm.
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That is, for a fixed \\(n\\) the model is provided with a pair of standard Young tableaux
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\\(\lambda_1, \lambda_2\\) of size \\(n\\) and required to predict the corresponding permutation
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Although the algorithm is known, it would be significant for a model to learn this
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correspondence due to the the intricate combinatorial rules involved. Notably,
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the RSK correspondence can be used to find the length of the longest increasing subsequence of a permutation,
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The goal of this dataset is to see whether a model can learn the RSK algorithm.
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That is, for a fixed \\(n\\) the model is provided with a pair of standard Young tableaux
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\\(\lambda_1, \lambda_2\\) of size \\(n\\) and required to predict the corresponding permutation
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(note that the RSK algorithm is usually introduced as a map from permutations to pairs of
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standard Young tableaux but we have found that it is easier to design neural
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architectures that output permutations and have hence reversed the bijection for this dataset).
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Although the algorithm is known, it would be significant for a model to learn this
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correspondence due to the the intricate combinatorial rules involved. Notably,
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the RSK correspondence can be used to find the length of the longest increasing subsequence of a permutation,
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