Abstract of paper. Add TeX formulas using the following formats: $In-line Formula$ or $$Block Formula$$.

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Describe changes since last TMLR submission. Add TeX formulas using the following formats: $In-line Formula$ or $$Block Formula$$.

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Title of paper. Add TeX formulas using the following formats: $In-line Formula$ or $$Block Formula$$.

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Understanding Linearity of Cross-Lingual Word Embedding Mappings

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