This is an online client for computing higher-order epistatic interactions as detailed in the articles [1] and [2]. It was implemented as polymake extension and can be found online on GitHub. If you found this useful for your scientific work, please cite our paper [1].

The input is a sequence of genotype-phenotype maps, where several phenotypes for the same genotype are considered as independent measurements, thus giving rise to a distribution of phenotypes. Genotypes are 0/1-vectors (i.e., here we are treating the biallelic case only), and phenotypes are real numbers. The entire dataset is supposed to be contained in a single file of type csv (ASCII text, comma separated values). Such files can be exported from standard spreadsheet software.

- The genotypes are placed in the first data row. Their coordinates are separated by vertical bars, e.g. 0|0|1|0.
- Right below the genotypes, the measured data is placed accordingly. The columns are allowed to be of varying size.

Please upload a file.

After roughly five minutes, in order to download the results for a previously submitted csv data sheet, please enter your id here:

Your input will be rejected

- if it is not of the form as explained above or
- if the number of loci exceeds 7 or
- if the given data is not generic enough, i.e., the genotype-phenotype map doesn't induce a triangulation.

- filtrationbars_user_input.pdf: a filtration bar diagram as Fig. 3 in Section 3.4 of [1].
- epistatic+landscape_user_input.pdf: the dual graph of the triangulation with red/blue colored and ordered edges as in Fig. 2(A) of [2].
- critical+spanningtree_user_input.pdf: the spanning tree of the epistatic landscape only featuring the critical edges.
- result.csv: a detailed data sheet explaining the epistatic landscape including the epistatic weights and p-values.

- the filtrationbars diagram of the source of the parallel transport.
- the epistatic landscape of the source of the parallel transport.
- the targetbars diagram, i.e. the parallel transported filtrationbars diagram.
- two analysis tables (one csv, one pdf) listing the detaild information of the parallel transport.
- Further, the folder parallel/ contains the file parallel_summary_user_input.pdf with a coarse summary of all performed transports.

- Holger Eble, Michael Joswig, Lisa Lamberti, and William B. Ludington: Cluster partitions and fitness landscapes of the Drosophila fly microbiome, J. Math. Biology (2019), no. 79, 861–899, doi: 10.1007/s00285-019-01381-0.
- Holger Eble, Michael Joswig, Lisa Lamberti, and William B. Ludington: Higher-order interactions in fitness landscapes are sparse, preprint, ArXiv:2009.12277.