Matches in SemOpenAlex for { <https://semopenalex.org/work/W3115311908> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3115311908 abstract "Abstract Past research in systems biology has taken for granted the Euclidean geometry of biological space. This has not only drawn parallels to other fields but has also been convenient due to the ample statistical and numerical optimization tools available to address the core task and downstream machine learning problems. However, emerging theoretical studies now demonstrate that biological databases exhibit hierarchical topology, characterized by heterogeneous degree distribution and a high degree of clustering, thus contradicting the flat geometry assumption. Namely, since the number of nodes in hierarchical structures grows exponentially with node depth, the biological networks naturally reside in a hyperbolic space where the circle circumference and disk area are the exponential functions of the radius. To test these claims and assess potential benefits of the applications grounded in the above hypothesis, we have developed a mathematical framework and an accompanying computational procedure for matrix factorization and implied biological relationship inference in hyperbolic space. Not only does our study demonstrate a significant increase in the accuracy of hyperbolic embedding compared to Euclidean embedding, but it also shows that the latent dimension of an optimal hyperbolic embedding is by more than an order of magnitude smaller than the latent dimension of an optimal Euclidean embedding. We see this as additional evidence that hyperbolic geometry, rather than Euclidean, underlines the biological system." @default.
- W3115311908 created "2021-01-05" @default.
- W3115311908 creator A5046539917 @default.
- W3115311908 date "2020-12-22" @default.
- W3115311908 modified "2023-09-23" @default.
- W3115311908 title "Hyperbolic matrix factorization reaffirms the negative curvature of the native biological space" @default.
- W3115311908 cites W1560267311 @default.
- W3115311908 cites W1639520737 @default.
- W3115311908 cites W1973894217 @default.
- W3115311908 cites W1992665562 @default.
- W3115311908 cites W2001565801 @default.
- W3115311908 cites W2009313526 @default.
- W3115311908 cites W2020274161 @default.
- W3115311908 cites W2030407863 @default.
- W3115311908 cites W2042662336 @default.
- W3115311908 cites W2056124433 @default.
- W3115311908 cites W2064690543 @default.
- W3115311908 cites W2092423825 @default.
- W3115311908 cites W2131681506 @default.
- W3115311908 cites W2132692097 @default.
- W3115311908 cites W2134435539 @default.
- W3115311908 cites W2135384781 @default.
- W3115311908 cites W2136787567 @default.
- W3115311908 cites W2136992683 @default.
- W3115311908 cites W2141225828 @default.
- W3115311908 cites W2145578524 @default.
- W3115311908 cites W2147339185 @default.
- W3115311908 cites W2152454589 @default.
- W3115311908 cites W2153838454 @default.
- W3115311908 cites W2166468869 @default.
- W3115311908 cites W2167041892 @default.
- W3115311908 cites W2256553158 @default.
- W3115311908 cites W2399279838 @default.
- W3115311908 cites W2500138264 @default.
- W3115311908 cites W2790733063 @default.
- W3115311908 cites W2806953728 @default.
- W3115311908 cites W2811033353 @default.
- W3115311908 cites W2912358215 @default.
- W3115311908 cites W2948646817 @default.
- W3115311908 cites W2949311246 @default.
- W3115311908 cites W2950245999 @default.
- W3115311908 cites W2953367534 @default.
- W3115311908 cites W2954745675 @default.
- W3115311908 cites W2967598666 @default.
- W3115311908 cites W3032928603 @default.
- W3115311908 cites W4288110918 @default.
- W3115311908 doi "https://doi.org/10.1101/2020.12.21.423806" @default.
- W3115311908 hasPublicationYear "2020" @default.
- W3115311908 type Work @default.
- W3115311908 sameAs 3115311908 @default.
- W3115311908 citedByCount "1" @default.
- W3115311908 countsByYear W31153119082021 @default.
- W3115311908 crossrefType "posted-content" @default.
- W3115311908 hasAuthorship W3115311908A5046539917 @default.
- W3115311908 hasBestOaLocation W31153119081 @default.
- W3115311908 hasConcept C106487976 @default.
- W3115311908 hasConcept C154945302 @default.
- W3115311908 hasConcept C159985019 @default.
- W3115311908 hasConcept C186450821 @default.
- W3115311908 hasConcept C192562407 @default.
- W3115311908 hasConcept C195065555 @default.
- W3115311908 hasConcept C202444582 @default.
- W3115311908 hasConcept C2524010 @default.
- W3115311908 hasConcept C33676613 @default.
- W3115311908 hasConcept C33923547 @default.
- W3115311908 hasConcept C41008148 @default.
- W3115311908 hasConcept C41608201 @default.
- W3115311908 hasConcept C83677898 @default.
- W3115311908 hasConceptScore W3115311908C106487976 @default.
- W3115311908 hasConceptScore W3115311908C154945302 @default.
- W3115311908 hasConceptScore W3115311908C159985019 @default.
- W3115311908 hasConceptScore W3115311908C186450821 @default.
- W3115311908 hasConceptScore W3115311908C192562407 @default.
- W3115311908 hasConceptScore W3115311908C195065555 @default.
- W3115311908 hasConceptScore W3115311908C202444582 @default.
- W3115311908 hasConceptScore W3115311908C2524010 @default.
- W3115311908 hasConceptScore W3115311908C33676613 @default.
- W3115311908 hasConceptScore W3115311908C33923547 @default.
- W3115311908 hasConceptScore W3115311908C41008148 @default.
- W3115311908 hasConceptScore W3115311908C41608201 @default.
- W3115311908 hasConceptScore W3115311908C83677898 @default.
- W3115311908 hasLocation W31153119081 @default.
- W3115311908 hasOpenAccess W3115311908 @default.
- W3115311908 hasPrimaryLocation W31153119081 @default.
- W3115311908 hasRelatedWork W2010933958 @default.
- W3115311908 hasRelatedWork W2049473448 @default.
- W3115311908 hasRelatedWork W2105325102 @default.
- W3115311908 hasRelatedWork W2234982114 @default.
- W3115311908 hasRelatedWork W2766222296 @default.
- W3115311908 hasRelatedWork W2774791677 @default.
- W3115311908 hasRelatedWork W3011491025 @default.
- W3115311908 hasRelatedWork W3102075949 @default.
- W3115311908 hasRelatedWork W4225269087 @default.
- W3115311908 hasRelatedWork W4281745187 @default.
- W3115311908 isParatext "false" @default.
- W3115311908 isRetracted "false" @default.
- W3115311908 magId "3115311908" @default.
- W3115311908 workType "article" @default.