@InProceedings{koivisto_et_al:LIPIcs.SWAT.2020.29, author = {Koivisto, Mikko and R\"{o}ysk\"{o}, Antti}, title = {{Fast Multi-Subset Transform and Weighted Sums over Acyclic Digraphs}}, booktitle = {17th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2020)}, pages = {29:1--29:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-150-4}, ISSN = {1868-8969}, year = {2020}, volume = {162}, editor = {Albers, Susanne}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2020.29}, URN = {urn:nbn:de:0030-drops-122768}, doi = {10.4230/LIPIcs.SWAT.2020.29}, annote = {Keywords: Bayesian networks, Moebius transform, Rectangular matrix multiplication, Subset convolution, Weighted counting of acyclic digraphs, Zeta transform} }