Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912432932> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2912432932 abstract "Forward stagewise and Frank Wolfe are popular gradient based projection free optimization algorithms which both require convex constraints. We propose a method to extend the applicability of these algorithms to problems of the form (min _x f(x) quad s.t. quad g(x) le kappa ) where f(x) is an invex (Invexity is a generalization of convexity and ensures that all local optima are also global optima.) objective function and g(x) is a non-convex constraint. We provide a theorem which defines a class of monotone component-wise transformation functions (x_i = h(z_i)). These transformations lead to a convex constraint function (G(z) = g(h(z))). Assuming invexity of the original function f(x) that same transformation (x_i = h(z_i)) will lead to a transformed objective function (F(z) = f(h(z))) which is also invex. For algorithms that rely on a non-zero gradient (nabla F) to produce new update steps invexity ensures that these algorithms will move forward as long as a descent direction exists." @default.
- W2912432932 created "2019-02-21" @default.
- W2912432932 creator A5026330522 @default.
- W2912432932 creator A5051780134 @default.
- W2912432932 creator A5052211172 @default.
- W2912432932 date "2019-01-01" @default.
- W2912432932 modified "2023-10-17" @default.
- W2912432932 title "Invexity Preserving Transformations for Projection Free Optimization with Sparsity Inducing Non-convex Constraints" @default.
- W2912432932 cites W1914015964 @default.
- W2912432932 cites W1965125844 @default.
- W2912432932 cites W1965169081 @default.
- W2912432932 cites W1969573529 @default.
- W2912432932 cites W1980500788 @default.
- W2912432932 cites W2012478278 @default.
- W2912432932 cites W2074682976 @default.
- W2912432932 cites W2104141378 @default.
- W2912432932 cites W2122315118 @default.
- W2912432932 cites W2136885855 @default.
- W2912432932 cites W3105702746 @default.
- W2912432932 cites W4248996067 @default.
- W2912432932 cites W655322337 @default.
- W2912432932 doi "https://doi.org/10.1007/978-3-030-12939-2_47" @default.
- W2912432932 hasPublicationYear "2019" @default.
- W2912432932 type Work @default.
- W2912432932 sameAs 2912432932 @default.
- W2912432932 citedByCount "0" @default.
- W2912432932 crossrefType "book-chapter" @default.
- W2912432932 hasAuthorship W2912432932A5026330522 @default.
- W2912432932 hasAuthorship W2912432932A5051780134 @default.
- W2912432932 hasAuthorship W2912432932A5052211172 @default.
- W2912432932 hasConcept C104317684 @default.
- W2912432932 hasConcept C106159729 @default.
- W2912432932 hasConcept C112680207 @default.
- W2912432932 hasConcept C11413529 @default.
- W2912432932 hasConcept C114614502 @default.
- W2912432932 hasConcept C126255220 @default.
- W2912432932 hasConcept C14036430 @default.
- W2912432932 hasConcept C145446738 @default.
- W2912432932 hasConcept C153258448 @default.
- W2912432932 hasConcept C154945302 @default.
- W2912432932 hasConcept C162324750 @default.
- W2912432932 hasConcept C185592680 @default.
- W2912432932 hasConcept C204241405 @default.
- W2912432932 hasConcept C2524010 @default.
- W2912432932 hasConcept C2776036281 @default.
- W2912432932 hasConcept C2834757 @default.
- W2912432932 hasConcept C33923547 @default.
- W2912432932 hasConcept C41008148 @default.
- W2912432932 hasConcept C50644808 @default.
- W2912432932 hasConcept C55493867 @default.
- W2912432932 hasConcept C57493831 @default.
- W2912432932 hasConcept C72134830 @default.
- W2912432932 hasConcept C78458016 @default.
- W2912432932 hasConcept C86803240 @default.
- W2912432932 hasConceptScore W2912432932C104317684 @default.
- W2912432932 hasConceptScore W2912432932C106159729 @default.
- W2912432932 hasConceptScore W2912432932C112680207 @default.
- W2912432932 hasConceptScore W2912432932C11413529 @default.
- W2912432932 hasConceptScore W2912432932C114614502 @default.
- W2912432932 hasConceptScore W2912432932C126255220 @default.
- W2912432932 hasConceptScore W2912432932C14036430 @default.
- W2912432932 hasConceptScore W2912432932C145446738 @default.
- W2912432932 hasConceptScore W2912432932C153258448 @default.
- W2912432932 hasConceptScore W2912432932C154945302 @default.
- W2912432932 hasConceptScore W2912432932C162324750 @default.
- W2912432932 hasConceptScore W2912432932C185592680 @default.
- W2912432932 hasConceptScore W2912432932C204241405 @default.
- W2912432932 hasConceptScore W2912432932C2524010 @default.
- W2912432932 hasConceptScore W2912432932C2776036281 @default.
- W2912432932 hasConceptScore W2912432932C2834757 @default.
- W2912432932 hasConceptScore W2912432932C33923547 @default.
- W2912432932 hasConceptScore W2912432932C41008148 @default.
- W2912432932 hasConceptScore W2912432932C50644808 @default.
- W2912432932 hasConceptScore W2912432932C55493867 @default.
- W2912432932 hasConceptScore W2912432932C57493831 @default.
- W2912432932 hasConceptScore W2912432932C72134830 @default.
- W2912432932 hasConceptScore W2912432932C78458016 @default.
- W2912432932 hasConceptScore W2912432932C86803240 @default.
- W2912432932 hasLocation W29124329321 @default.
- W2912432932 hasOpenAccess W2912432932 @default.
- W2912432932 hasPrimaryLocation W29124329321 @default.
- W2912432932 hasRelatedWork W1493691865 @default.
- W2912432932 hasRelatedWork W1830756532 @default.
- W2912432932 hasRelatedWork W1996444892 @default.
- W2912432932 hasRelatedWork W2075649590 @default.
- W2912432932 hasRelatedWork W2076847960 @default.
- W2912432932 hasRelatedWork W2131886459 @default.
- W2912432932 hasRelatedWork W2182774217 @default.
- W2912432932 hasRelatedWork W2240994664 @default.
- W2912432932 hasRelatedWork W2394916533 @default.
- W2912432932 hasRelatedWork W2912228905 @default.
- W2912432932 isParatext "false" @default.
- W2912432932 isRetracted "false" @default.
- W2912432932 magId "2912432932" @default.
- W2912432932 workType "book-chapter" @default.