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This paper challenges the standard K-means approach in unsupervised speech term discovery by demonstrating that graph-based clustering via the Leiden algorithm better recovers the natural Zipfian distribution of true lexicons. The study provides a methodological shift for researchers working on automatic vocabulary construction, showing that bottom-up similarity partitioning outperforms center-based methods across multiple languages.
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Recovering the Zipfian Distribution in Unsupervised Term Discovery

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arXiv:2606.10781v2 Announce Type: replace-cross Abstract: Unsupervised term discovery involves segmenting unlabelled speech into word- or syllable-like units and clustering these into a lexicon of candidate types. True lexicons follow a Zipfian distribution, yet the dominant centre-based clustering approach -- K-means -- produces a more uniform distribution due to an inductive bias toward spherical clusters. In this paper we revisit graph-based clustering as a bottom-up alternative, where segment embeddings are connected by pairwise similarity and partitioned using the Leiden algorithm. We show that graph clustering substantially outperforms centre-based approaches (K-means, GMM, BIRCH) in both word- and syllable-level lexicon discovery across three languages, producing more Zipf-like distributions. Another bottom-up approach, agglomerative clustering with average linkage, also performs well, although it is computationally less efficient and allows for less control over the resulting distribution. Our work calls into question the dominance of centre-based clustering for term discovery, and promotes graph clustering as an attractive alternative.

Abstract:Unsupervised term discovery involves segmenting unlabelled speech into word- or syllable-like units and clustering these into a lexicon of candidate types. True lexicons follow a Zipfian distribution, yet the dominant centre-based clustering approach -- K-means -- produces a more uniform distribution due to an inductive bias toward spherical clusters. In this paper we revisit graph-based clustering as a bottom-up alternative, where segment embeddings are connected by pairwise similarity and partitioned using the Leiden algorithm. We show that graph clustering substantially outperforms centre-based approaches (K-means, GMM, BIRCH) in both word- and syllable-level lexicon discovery across three languages, producing more Zipf-like distributions. Another bottom-up approach, agglomerative clustering with average linkage, also performs well, although it is computationally less efficient and allows for less control over the resulting distribution. Our work calls into question the dominance of centre-based clustering for term discovery, and promotes graph clustering as an attractive alternative.

Audio and Speech Processing (eess.AS); Computation and Language (cs.CL)

arXiv:2606.10781 [eess.AS]

(or arXiv:2606.10781v2 [eess.AS] for this version)

https://doi.org/10.48550/arXiv.2606.10781 Focus to learn more arXiv-issued DOI via DataCite

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