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- W3143232882 abstract "Abstract Network representations often cannot fully account for the structural richness of complex systems spanning multiple levels of organisation. Recently proposed high-order information-theoretic signals are well-suited to capture synergistic phenomena that transcend pairwise interactions; however, the exponential-growth of their cardinality severely hinders their applicability. In this work, we combine methods from harmonic analysis and combinatorial topology to construct efficient representations of high-order information-theoretic signals. The core of our method is the diagonalisation of a discrete version of the Laplace–de Rham operator, that geometrically encodes structural properties of the system. We capitalise on these ideas by developing a complete workflow for the construction of hyperharmonic representations of high-order signals, which is applicable to a wide range of scenarios." @default.
- W3143232882 created "2021-04-13" @default.
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- W3143232882 date "2021-05-20" @default.
- W3143232882 modified "2023-10-16" @default.
- W3143232882 title "Hyperharmonic analysis for the study of high-order information-theoretic signals" @default.
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- W3143232882 doi "https://doi.org/10.1088/2632-072x/abf231" @default.
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