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1 | 1 | # Welcome to ANOVAapprox.jl |
2 | 2 |
|
3 | | -ANOVAapprox package |
| 3 | +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. |
4 | 4 |
|
5 | 5 | ## Literature |
6 | 6 |
|
7 | 7 | ```@raw html |
8 | 8 | <ul> |
9 | | -<li id="BaPoSc">[<a>Bartel, Potts, Schmischke, 2021</a>] |
10 | | - F. Bartel, D. Potts, M. Schmischke. Grouped transformations in high-dimensional explainable ANOVA approximation.</emph> |
11 | | - Preprint 2021. |
12 | | - arXiv: <a href="https://arxiv.org/abs/2010.10199">2010.10199</a>. |
13 | | -</li> |
| 9 | + <li>D. Potts und M. Schmischke <br> |
| 10 | + <b>Interpretable transformed ANOVA approximation on the example of the prevention of forest fires</b> <br> |
| 11 | + <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> |
| 12 | + <li>D. Potts und M. Schmischke <br> |
| 13 | + <b>Interpretable approximation of high-dimensional data</b> <br> |
| 14 | + SIAM Journal on Mathematics of Data Science (accepted) <br> |
| 15 | + <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> |
| 16 | + <li>D. Potts und M. Schmischke <br> |
| 17 | + <b>Learning multivariate functions with low-dimensional structures using polynomial bases</b><br> |
| 18 | + Journal of Computational and Applied Mathematics 403, 113821, 2021<br> |
| 19 | + <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> |
| 20 | + <li>D. Potts und M. Schmischke <br> |
| 21 | + <b>Approximation of high-dimensional periodic functions with Fourier-based methods</b><br> |
| 22 | + SIAM Journal on Numerical Analysis 59 (5), 2393-2429, 2021<br> |
| 23 | + <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> |
14 | 24 | </ul> |
15 | 25 | ``` |
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