Re-evaluating Word Mover's Distance
Not on the map. Why?
Abstract (arXiv)
The word mover's distance (WMD) is a fundamental technique for measuring the similarity of two documents. As the crux of WMD, it can take advantage of the underlying geometry of the word space by employing an optimal transport formulation. The original study on WMD reported that WMD outperforms classical baselines such as bag-of-words (BOW) and TF-IDF by significant margins in various datasets. In this paper, we point out that the evaluation in the original study could be misleading. We re-evaluate the performances of WMD and the classical baselines and find that the classical baselines are competitive with WMD if we employ an appropriate preprocessing, i.e., L1 normalization. In addition, we introduce an analogy between WMD and L1-normalized BOW and find that not only the performance of WMD but also the distance values resemble those of BOW in high dimensional spaces.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 51 of its 100 references that are in the map. First posted on arXiv 30 May 2021.
Builds on
51 of 100 references.
References · 51
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38 more
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50 most cited of 51 All 51 (JSON)
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Citing papers per year: 2022: 5; 2023: 3; 2024: 1; 2025: 1.
10 papers.
- 2022WikiWhy: Answering and Explaining Cause-and-Effect Questionscited by 21
- 2022Approximating 1-Wasserstein Distance with Treescited by 9
- 2023Optimal Transport for Measures with Noisy Tree Metriccited by 7
- 2022Word Tour: One-dimensional Word Embeddings via the Traveling Salesman Problemcited by 1
- 2022Twin Papers: A Simple Framework of Causal Inference for Citations via Couplingcited by 1
- 2023Characterizing and Measuring Linguistic Dataset Driftcited by 1
- 2022Moving Other Way: Exploring Word Mover Distance Extensionscited by 0
- 2023An Empirical Study of Self-supervised Learning with Wasserstein Distancecited by 0
- 2024Advanced Machine Learning Framework for Efficient Plant Disease Predictioncited by 0
- 2025Global Ground Metric Learning with Applications to scRNA datacited by 0
- 2025Global Ground Metric Learning with Applications to scRNA data18 Jun 2025
- 2024Advanced Machine Learning Framework for Efficient Plant Disease Prediction8 Sep 2024
- 2023Optimal Transport for Measures with Noisy Tree Metric20 Oct 2023
- 2023An Empirical Study of Self-supervised Learning with Wasserstein Distance16 Oct 2023
- 2023Characterizing and Measuring Linguistic Dataset Drift26 May 2023
- 2022WikiWhy: Answering and Explaining Cause-and-Effect Questions21 Oct 2022
- 2022Twin Papers: A Simple Framework of Causal Inference for Citations via Coupling21 Aug 2022
- 2022Approximating 1-Wasserstein Distance with Trees24 Jun 2022
- 2022Word Tour: One-dimensional Word Embeddings via the Traveling Salesman Problem4 May 2022
- 2022Moving Other Way: Exploring Word Mover Distance Extensions7 Feb 2022