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docs/src/about.md

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# About
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ANOVAapprox.jl has been developed during the research for several papers; see ... .
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ANOVAapprox.jl has been developed during the research for several papers.
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It is currently maintained by [Michael Schmischke](https://tu-chemnitz.de/~miscmi) (michael.schmischke@math.tu-chemnitz.de) with contributions from Felix Bartel.
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If you want to contribute or have any questions, visit the [GitHub repository](https://github.com/NFFT/ANOVAapprox.jl/) to clone/fork the repository or open an issue.

docs/src/index.md

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# Welcome to ANOVAapprox.jl
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ANOVAapprox package
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This package provides a framework for the method ANOVAapprox to approximate high-dimensional functions with a low superposition dimension or a sparse ANOVA decomposition from scattered data.
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## Literature
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```@raw html
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<ul>
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<li id="BaPoSc">[<a>Bartel, Potts, Schmischke, 2021</a>]
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F. Bartel, D. Potts, M. Schmischke. Grouped transformations in high-dimensional explainable ANOVA approximation.</emph>
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Preprint 2021.
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arXiv: <a href="https://arxiv.org/abs/2010.10199">2010.10199</a>.
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</li>
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<li>D. Potts und M. Schmischke <br>
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<b>Interpretable transformed ANOVA approximation on the example of the prevention of forest fires</b> <br>
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<a href="https://arxiv.org/abs/2110.07353">arXiv</a>, <a href="https://www-user.tu-chemnitz.de/~potts/paper/anovatransf.pdf">PDF</a></li>
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<li>D. Potts und M. Schmischke <br>
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<b>Interpretable approximation of high-dimensional data</b> <br>
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SIAM Journal on Mathematics of Data Science (accepted) <br>
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<a href="https://arxiv.org/abs/2103.13787">arXiv</a>, <a href="https://www-user.tu-chemnitz.de/~potts/paper/intanova.pdf">PDF</a>, <a href="https://github.com/NFFT/AttributeRankingExamples">Software</a></li>
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<li>D. Potts und M. Schmischke <br>
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<b>Learning multivariate functions with low-dimensional structures using polynomial bases</b><br>
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Journal of Computational and Applied Mathematics 403, 113821, 2021<br>
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<a href="https://doi.org/10.1016/j.cam.2021.113821">DOI</a>, <a href="https://arxiv.org/abs/1912.03195">arXiv</a>, <a href="https://www-user.tu-chemnitz.de/~potts/paper/ANOVA_T.pdf">PDF</a></li>
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<li>D. Potts und M. Schmischke <br>
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<b>Approximation of high-dimensional periodic functions with Fourier-based methods</b><br>
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SIAM Journal on Numerical Analysis 59 (5), 2393-2429, 2021<br>
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<a href="https://doi.org/10.1137/20M1354921">DOI</a>, <a href="https://arxiv.org/abs/1907.11412">arXiv</a>, <a href="https://www-user.tu-chemnitz.de/~potts/paper/anova.pdf">PDF</a></li>
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</ul>
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