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On Learning Language-Invariant Representations for Universal Machine Translation

ICML 2020 · Learning theory and algorithms › Sample complexity · approach: PAC learnability theory · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Require language-invariant representations without assumptions on language distributionsUniversal machine translation · Many-to-many translation tasks with differing target-language marginalsmaximum translation error: \frac{1}{2}\max_{k\in[K]}\max_{i\neq j}~\dtv(\mathcal{D}_{L_i, L_k}(L_k), \mathcal{D}_{L_j, L_k}(L_k)) - \frac{\epsilon}Hurt
Assume parallel corpora follow a shared encoder-decoder generative process and train on a connected graph of language pairsUniversal machine translation · Unseen language pairs connected in translation graph Htranslation error: 2\rho^2 \sum_{k=1}^{m-1} \epsilon_{L_k, L_{k+1}}Helped
Use a translation graph with shorter paths between language pairsEncoder-decoder generative model · Unseen language pairstranslation error: 2\rho^2 d_{L, L'}\cdot\epsilonHelped
Allow randomized encoders and decoders under the stated generative assumptionsUniversal machine translation · Unseen language pairs connected in translation graph Htranslation error: 2\rho^2 \sum_{k=1}^{m-1} \epsilon_{L_k, L_{k+1}}Helped

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