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PreprintarXiv licencearXiv

Partial positivity is not preserved by marginalization

Abstract

In this paper, we show that partial positivity is not preserved by marginalization in both the real and complex settings. We also give a sufficient condition for the preservation of partial positivity under marginalization.

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BibTeX
@misc{inayama2026partial,
  title = {{Partial positivity is not preserved by marginalization}},
  author = {Takahiro Inayama},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15075},
  eprint = {2609.15075},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15075},
}
RIS
TY  - UNPB
TI  - Partial positivity is not preserved by marginalization
AU  - Takahiro Inayama
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15075
UR  - https://arxiv.org/abs/2609.15075
AB  - In this paper, we show that partial positivity is not preserved by marginalization in both the real and complex settings. We also give a sufficient condition for the preservation of partial positivity under marginalization.
ER  -