Frequency Sensitive Duplicate Detection Using Multi-Metric Spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910010946093056 |
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| author | Chatterjee, Debjyoti Mukherjee, Shashi Bajaj |
| author_facet | Chatterjee, Debjyoti Mukherjee, Shashi Bajaj |
| contents | Classical metric spaces often fail to model data-intensive systems where repetition and frequency of values are meaningful. In applications such as transactional databases, sensor logs, and record linkage, conventional distance measures ignore multiplicity information, leading to information loss and incorrect similarity judgments. This paper introduces multi-metric spaces defined on multisets and valued in the multi-real number system, providing a principled way to incorporate frequency into distance computations. We demonstrate the usefulness of multi-metrics through a frequency sensitive duplicate detection example, showing improved accuracy over classical metric based approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03904 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Frequency Sensitive Duplicate Detection Using Multi-Metric Spaces Chatterjee, Debjyoti Mukherjee, Shashi Bajaj General Mathematics Primary 54E35, Secondary 54A05, 03E20, 68P20, 68T10 Classical metric spaces often fail to model data-intensive systems where repetition and frequency of values are meaningful. In applications such as transactional databases, sensor logs, and record linkage, conventional distance measures ignore multiplicity information, leading to information loss and incorrect similarity judgments. This paper introduces multi-metric spaces defined on multisets and valued in the multi-real number system, providing a principled way to incorporate frequency into distance computations. We demonstrate the usefulness of multi-metrics through a frequency sensitive duplicate detection example, showing improved accuracy over classical metric based approaches. |
| title | Frequency Sensitive Duplicate Detection Using Multi-Metric Spaces |
| topic | General Mathematics Primary 54E35, Secondary 54A05, 03E20, 68P20, 68T10 |
| url | https://arxiv.org/abs/2602.03904 |