FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3046001543> ?p ?o ?g. }

• W3046001543 endingPage "20200213" @default.
• W3046001543 startingPage "20200213" @default.
• W3046001543 abstract "Hyperbolic balance laws with uncertain (random) parameters and inputs are ubiquitous in science and engineering. Quantification of uncertainty in predictions derived from such laws, and reduction of predictive uncertainty via data assimilation, remain an open challenge. That is due to nonlinearity of governing equations, whose solutions are highly non-Gaussian and often discontinuous. To ameliorate these issues in a computationally efficient way, we use the method of distributions, which here takes the form of a deterministic equation for spatiotemporal evolution of the cumulative distribution function (CDF) of the random system state, as a means of forward uncertainty propagation. Uncertainty reduction is achieved by recasting the standard loss function, i.e., discrepancy between observations and model predictions, in distributional terms. This step exploits the equivalence between minimization of the square error discrepancy and the Kullback-Leibler divergence. The loss function is regularized by adding a Lagrangian constraint enforcing fulfillment of the CDF equation. Minimization is performed sequentially, progressively updating the parameters of the CDF equation as more measurements are assimilated." @default.
• W3046001543 created "2020-08-03" @default.
• W3046001543 creator A5049066010 @default.
• W3046001543 creator A5072937022 @default.
• W3046001543 date "2020-07-01" @default.
• W3046001543 modified "2023-09-30" @default.
• W3046001543 title "Learning on dynamic statistical manifolds" @default.
• W3046001543 cites W1988841088 @default.
• W3046001543 cites W2005753727 @default.
• W3046001543 cites W2026009223 @default.
• W3046001543 cites W2054137409 @default.
• W3046001543 cites W2059735442 @default.
• W3046001543 cites W2077048218 @default.
• W3046001543 cites W2080971404 @default.
• W3046001543 cites W2089545445 @default.
• W3046001543 cites W2097349488 @default.
• W3046001543 cites W2142127434 @default.
• W3046001543 cites W2157049947 @default.
• W3046001543 cites W2159902206 @default.
• W3046001543 cites W2166116275 @default.
• W3046001543 cites W2295695367 @default.
• W3046001543 cites W2342288376 @default.
• W3046001543 cites W2405423737 @default.
• W3046001543 cites W2465363361 @default.
• W3046001543 cites W2469608151 @default.
• W3046001543 cites W2485135680 @default.
• W3046001543 cites W2563655045 @default.
• W3046001543 cites W2573864470 @default.
• W3046001543 cites W2890968382 @default.
• W3046001543 cites W2896559980 @default.
• W3046001543 cites W2899283552 @default.
• W3046001543 cites W2908541468 @default.
• W3046001543 cites W2962761333 @default.
• W3046001543 cites W2983680631 @default.
• W3046001543 cites W3005442370 @default.
• W3046001543 cites W3008195311 @default.
• W3046001543 cites W3101380508 @default.
• W3046001543 cites W3101891217 @default.
• W3046001543 cites W4231204432 @default.
• W3046001543 cites W4249057613 @default.
• W3046001543 cites W621546036 @default.
• W3046001543 doi "https://doi.org/10.1098/rspa.2020.0213" @default.
• W3046001543 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7426049" @default.
• W3046001543 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/32831613" @default.
• W3046001543 hasPublicationYear "2020" @default.
• W3046001543 type Work @default.
• W3046001543 sameAs 3046001543 @default.
• W3046001543 citedByCount "12" @default.
• W3046001543 countsByYear W30460015432020 @default.
• W3046001543 countsByYear W30460015432021 @default.
• W3046001543 countsByYear W30460015432022 @default.
• W3046001543 countsByYear W30460015432023 @default.
• W3046001543 crossrefType "journal-article" @default.
• W3046001543 hasAuthorship W3046001543A5049066010 @default.
• W3046001543 hasAuthorship W3046001543A5072937022 @default.
• W3046001543 hasBestOaLocation W30460015431 @default.
• W3046001543 hasConcept C103784038 @default.
• W3046001543 hasConcept C105795698 @default.
• W3046001543 hasConcept C111335779 @default.
• W3046001543 hasConcept C11413529 @default.
• W3046001543 hasConcept C118615104 @default.
• W3046001543 hasConcept C121332964 @default.
• W3046001543 hasConcept C123614077 @default.
• W3046001543 hasConcept C126255220 @default.
• W3046001543 hasConcept C138885662 @default.
• W3046001543 hasConcept C14036430 @default.
• W3046001543 hasConcept C147764199 @default.
• W3046001543 hasConcept C153294291 @default.
• W3046001543 hasConcept C158622935 @default.
• W3046001543 hasConcept C163716315 @default.
• W3046001543 hasConcept C171752962 @default.
• W3046001543 hasConcept C197055811 @default.
• W3046001543 hasConcept C207390915 @default.
• W3046001543 hasConcept C24552861 @default.
• W3046001543 hasConcept C2524010 @default.
• W3046001543 hasConcept C2776036281 @default.
• W3046001543 hasConcept C2780069185 @default.
• W3046001543 hasConcept C28826006 @default.
• W3046001543 hasConcept C32230216 @default.
• W3046001543 hasConcept C33923547 @default.
• W3046001543 hasConcept C41008148 @default.
• W3046001543 hasConcept C41895202 @default.
• W3046001543 hasConcept C62520636 @default.
• W3046001543 hasConcept C78458016 @default.
• W3046001543 hasConcept C86803240 @default.
• W3046001543 hasConceptScore W3046001543C103784038 @default.
• W3046001543 hasConceptScore W3046001543C105795698 @default.
• W3046001543 hasConceptScore W3046001543C111335779 @default.
• W3046001543 hasConceptScore W3046001543C11413529 @default.
• W3046001543 hasConceptScore W3046001543C118615104 @default.
• W3046001543 hasConceptScore W3046001543C121332964 @default.
• W3046001543 hasConceptScore W3046001543C123614077 @default.
• W3046001543 hasConceptScore W3046001543C126255220 @default.
• W3046001543 hasConceptScore W3046001543C138885662 @default.
• W3046001543 hasConceptScore W3046001543C14036430 @default.
• W3046001543 hasConceptScore W3046001543C147764199 @default.
• W3046001543 hasConceptScore W3046001543C153294291 @default.
• W3046001543 hasConceptScore W3046001543C158622935 @default.

• next