Anru R. Zhang

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Articles

[2501.06652] High-order Accurate Inference on Manifolds

Jan 11, 2025 | arxiv.org | Anru R. Zhang

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
TEMPTED: time-informed dimensionality reduction for longitudinal microbiome studies - Genome Biology

Dec 18, 2024 | genomebiology.biomedcentral.com | Pixu Shi |Cameron Martino |Rungang Han |Stefan Janssen |Gregory Buck |Myrna G. Serrano | +4 more

In this section, we provide details of our methods, including data preprocessing, the TEMPTED algorithm, tensor reconstruction, and how the dimension reduction learned from training data can be transferred to new testing data. Additionally, we present details of case studies (Pax5 Mice Leukemia data, shotgun metagenomic vaginal data, 16S Vaginal data), and data-driven simulation studies.
Statistical Inference for Low-Rank Tensors: Heteroskedasticity, Subgaussianity, and Applications

Oct 8, 2024 | arxiv.org | Anru R. Zhang

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
[2410.03619] Functional Singular Value Decomposition

Oct 4, 2024 | arxiv.org | Pixu Shi |Anru R. Zhang

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.