Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100442711> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W3100442711 endingPage "214" @default.
- W3100442711 startingPage "189" @default.
- W3100442711 abstract "An equation-by-equation (EBE) method is proposed to solve a system of nonlinear equations arising from the moment constrained maximum entropy problem of multidimensional variables. The design of the EBE method combines ideas from homotopy continuation and Newton's iterative methods. Theoretically, we establish the local convergence under appropriate conditions and show that the proposed method, geometrically, finds the solution by searching along the surface corresponding to one component of the nonlinear problem. We will demonstrate the robustness of the method on various numerical examples, including: (1) A six-moment one-dimensional entropy problem with an explicit solution that contains components of order $10^0-10^3$ in magnitude; (2) Four-moment multidimensional entropy problems with explicit solutions where the resulting systems to be solved ranging from $70-310$ equations; (3) Four- to eight-moment of a two-dimensional entropy problem, which solutions correspond to the densities of the two leading EOFs of the wind stress-driven large-scale oceanic model. In this case, we find that the EBE method is more accurate compared to the classical Newton's method, the MATLAB generic solver, and the previously developed BFGS-based method, which was also tested on this problem. (4) Four-moment constrained of up to five-dimensional entropy problems which solutions correspond to multidimensional densities of the components of the solutions of the Kuramoto-Sivashinsky equation. For the higher dimensional cases of this example, the EBE method is superior because it automatically selects a subset of the prescribed moment constraints from which the maximum entropy solution can be estimated within the desired tolerance. This selection feature is particularly important since the moment constrained maximum entropy problems do not necessarily have solutions in general." @default.
- W3100442711 created "2020-11-23" @default.
- W3100442711 creator A5032431412 @default.
- W3100442711 creator A5034663047 @default.
- W3100442711 date "2018-06-05" @default.
- W3100442711 modified "2023-10-16" @default.
- W3100442711 title "An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem" @default.
- W3100442711 cites W1646309082 @default.
- W3100442711 cites W1867762174 @default.
- W3100442711 cites W1977633159 @default.
- W3100442711 cites W1984321224 @default.
- W3100442711 cites W2004248761 @default.
- W3100442711 cites W2012673176 @default.
- W3100442711 cites W2014268383 @default.
- W3100442711 cites W2015769927 @default.
- W3100442711 cites W2027319740 @default.
- W3100442711 cites W2028444917 @default.
- W3100442711 cites W2032558547 @default.
- W3100442711 cites W2033022456 @default.
- W3100442711 cites W2039001212 @default.
- W3100442711 cites W2071860648 @default.
- W3100442711 cites W2113985973 @default.
- W3100442711 cites W2118020555 @default.
- W3100442711 cites W2140357575 @default.
- W3100442711 cites W2147274725 @default.
- W3100442711 cites W2147283336 @default.
- W3100442711 cites W3123878694 @default.
- W3100442711 cites W4298231803 @default.
- W3100442711 cites W647818151 @default.
- W3100442711 doi "https://doi.org/10.2140/camcos.2018.13.189" @default.
- W3100442711 hasPublicationYear "2018" @default.
- W3100442711 type Work @default.
- W3100442711 sameAs 3100442711 @default.
- W3100442711 citedByCount "11" @default.
- W3100442711 countsByYear W31004427112019 @default.
- W3100442711 countsByYear W31004427112021 @default.
- W3100442711 countsByYear W31004427112022 @default.
- W3100442711 crossrefType "journal-article" @default.
- W3100442711 hasAuthorship W3100442711A5032431412 @default.
- W3100442711 hasAuthorship W3100442711A5034663047 @default.
- W3100442711 hasBestOaLocation W31004427112 @default.
- W3100442711 hasConcept C105795698 @default.
- W3100442711 hasConcept C106301342 @default.
- W3100442711 hasConcept C121332964 @default.
- W3100442711 hasConcept C126255220 @default.
- W3100442711 hasConcept C132721684 @default.
- W3100442711 hasConcept C151319957 @default.
- W3100442711 hasConcept C158622935 @default.
- W3100442711 hasConcept C2778770139 @default.
- W3100442711 hasConcept C28826006 @default.
- W3100442711 hasConcept C31258907 @default.
- W3100442711 hasConcept C33923547 @default.
- W3100442711 hasConcept C41008148 @default.
- W3100442711 hasConcept C60507348 @default.
- W3100442711 hasConcept C62520636 @default.
- W3100442711 hasConcept C89735579 @default.
- W3100442711 hasConcept C9679016 @default.
- W3100442711 hasConceptScore W3100442711C105795698 @default.
- W3100442711 hasConceptScore W3100442711C106301342 @default.
- W3100442711 hasConceptScore W3100442711C121332964 @default.
- W3100442711 hasConceptScore W3100442711C126255220 @default.
- W3100442711 hasConceptScore W3100442711C132721684 @default.
- W3100442711 hasConceptScore W3100442711C151319957 @default.
- W3100442711 hasConceptScore W3100442711C158622935 @default.
- W3100442711 hasConceptScore W3100442711C2778770139 @default.
- W3100442711 hasConceptScore W3100442711C28826006 @default.
- W3100442711 hasConceptScore W3100442711C31258907 @default.
- W3100442711 hasConceptScore W3100442711C33923547 @default.
- W3100442711 hasConceptScore W3100442711C41008148 @default.
- W3100442711 hasConceptScore W3100442711C60507348 @default.
- W3100442711 hasConceptScore W3100442711C62520636 @default.
- W3100442711 hasConceptScore W3100442711C89735579 @default.
- W3100442711 hasConceptScore W3100442711C9679016 @default.
- W3100442711 hasIssue "2" @default.
- W3100442711 hasLocation W31004427111 @default.
- W3100442711 hasLocation W31004427112 @default.
- W3100442711 hasOpenAccess W3100442711 @default.
- W3100442711 hasPrimaryLocation W31004427111 @default.
- W3100442711 hasRelatedWork W1966654446 @default.
- W3100442711 hasRelatedWork W2020900044 @default.
- W3100442711 hasRelatedWork W2039232173 @default.
- W3100442711 hasRelatedWork W2042719478 @default.
- W3100442711 hasRelatedWork W2132953787 @default.
- W3100442711 hasRelatedWork W2176894780 @default.
- W3100442711 hasRelatedWork W2357475693 @default.
- W3100442711 hasRelatedWork W2955910739 @default.
- W3100442711 hasRelatedWork W2161544911 @default.
- W3100442711 hasRelatedWork W309135373 @default.
- W3100442711 hasVolume "13" @default.
- W3100442711 isParatext "false" @default.
- W3100442711 isRetracted "false" @default.
- W3100442711 magId "3100442711" @default.
- W3100442711 workType "article" @default.