FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308930804> ?p ?o ?g. }

• W4308930804 endingPage "114937" @default.
• W4308930804 startingPage "114937" @default.
• W4308930804 abstract "We study the problem of recovering piecewise-polynomial periodic functions from their low-frequency information. This means that we only have access to possibly corrupted versions of the Fourier samples of the ground truth up to a maximum cutoff frequency Kc. The reconstruction task is specified as an optimization problem with total-variation (TV) regularization (in the sense of measures) involving the Mth order derivative regularization operator L=DM. The order M≥1 determines the degree of the reconstructed piecewise-polynomial spline, whereas the TV regularization norm, which is known to promote sparsity, guarantees a small number of pieces. We show that the solution of our optimization problem is always unique, which, to the best of our knowledge, is a first for TV-based problems. Moreover, we show that this solution is a periodic spline matched to the regularization operator L whose number of knots is upper-bounded by 2Kc. We then consider the grid-based discretization of our optimization problem in the space of uniform L-splines. On the theoretical side, we show that any sequence of solutions of the discretized problem converges uniformly to the unique solution of the gridless problem as the grid size vanishes. Finally, on the algorithmic side, we propose a B-spline-based algorithm to solve the discretized problem, and we demonstrate its numerical feasibility experimentally. On both of these aspects, we leverage the uniqueness of the solution of the original problem." @default.
• W4308930804 created "2022-11-19" @default.
• W4308930804 creator A5015119381 @default.
• W4308930804 creator A5034056210 @default.
• W4308930804 creator A5046721821 @default.
• W4308930804 date "2023-04-01" @default.
• W4308930804 modified "2023-10-05" @default.
• W4308930804 title "TV-based spline reconstruction with Fourier measurements: Uniqueness and convergence of grid-based methods" @default.
• W4308930804 cites W2003410902 @default.
• W4308930804 cites W2013257795 @default.
• W4308930804 cites W2017718716 @default.
• W4308930804 cites W2057603175 @default.
• W4308930804 cites W2084709495 @default.
• W4308930804 cites W2101675075 @default.
• W4308930804 cites W2103559027 @default.
• W4308930804 cites W2119499160 @default.
• W4308930804 cites W2155447220 @default.
• W4308930804 cites W2585868105 @default.
• W4308930804 cites W2605512869 @default.
• W4308930804 cites W2608482034 @default.
• W4308930804 cites W2786494993 @default.
• W4308930804 cites W2809809415 @default.
• W4308930804 cites W2918802163 @default.
• W4308930804 cites W2939748962 @default.
• W4308930804 cites W2951231774 @default.
• W4308930804 cites W2962691586 @default.
• W4308930804 cites W2962898451 @default.
• W4308930804 cites W2962925391 @default.
• W4308930804 cites W2963748825 @default.
• W4308930804 cites W2964325628 @default.
• W4308930804 cites W2978037608 @default.
• W4308930804 cites W3090728696 @default.
• W4308930804 cites W3103915668 @default.
• W4308930804 cites W3103957590 @default.
• W4308930804 cites W3104967842 @default.
• W4308930804 cites W3127203349 @default.
• W4308930804 cites W3204100703 @default.
• W4308930804 cites W4200564371 @default.
• W4308930804 cites W4284707241 @default.
• W4308930804 cites W4292162877 @default.
• W4308930804 cites W4292363360 @default.
• W4308930804 doi "https://doi.org/10.1016/j.cam.2022.114937" @default.
• W4308930804 hasPublicationYear "2023" @default.
• W4308930804 type Work @default.
• W4308930804 citedByCount "0" @default.
• W4308930804 crossrefType "journal-article" @default.
• W4308930804 hasAuthorship W4308930804A5015119381 @default.
• W4308930804 hasAuthorship W4308930804A5034056210 @default.
• W4308930804 hasAuthorship W4308930804A5046721821 @default.
• W4308930804 hasBestOaLocation W43089308041 @default.
• W4308930804 hasConcept C10390562 @default.
• W4308930804 hasConcept C11413529 @default.
• W4308930804 hasConcept C115961682 @default.
• W4308930804 hasConcept C126255220 @default.
• W4308930804 hasConcept C127413603 @default.
• W4308930804 hasConcept C134306372 @default.
• W4308930804 hasConcept C135252773 @default.
• W4308930804 hasConcept C137836250 @default.
• W4308930804 hasConcept C141718189 @default.
• W4308930804 hasConcept C152442038 @default.
• W4308930804 hasConcept C154945302 @default.
• W4308930804 hasConcept C164660894 @default.
• W4308930804 hasConcept C187691185 @default.
• W4308930804 hasConcept C207282899 @default.
• W4308930804 hasConcept C2524010 @default.
• W4308930804 hasConcept C2776135515 @default.
• W4308930804 hasConcept C2777021972 @default.
• W4308930804 hasConcept C27872270 @default.
• W4308930804 hasConcept C28826006 @default.
• W4308930804 hasConcept C33923547 @default.
• W4308930804 hasConcept C41008148 @default.
• W4308930804 hasConcept C66938386 @default.
• W4308930804 hasConcept C73000952 @default.
• W4308930804 hasConceptScore W4308930804C10390562 @default.
• W4308930804 hasConceptScore W4308930804C11413529 @default.
• W4308930804 hasConceptScore W4308930804C115961682 @default.
• W4308930804 hasConceptScore W4308930804C126255220 @default.
• W4308930804 hasConceptScore W4308930804C127413603 @default.
• W4308930804 hasConceptScore W4308930804C134306372 @default.
• W4308930804 hasConceptScore W4308930804C135252773 @default.
• W4308930804 hasConceptScore W4308930804C137836250 @default.
• W4308930804 hasConceptScore W4308930804C141718189 @default.
• W4308930804 hasConceptScore W4308930804C152442038 @default.
• W4308930804 hasConceptScore W4308930804C154945302 @default.
• W4308930804 hasConceptScore W4308930804C164660894 @default.
• W4308930804 hasConceptScore W4308930804C187691185 @default.
• W4308930804 hasConceptScore W4308930804C207282899 @default.
• W4308930804 hasConceptScore W4308930804C2524010 @default.
• W4308930804 hasConceptScore W4308930804C2776135515 @default.
• W4308930804 hasConceptScore W4308930804C2777021972 @default.
• W4308930804 hasConceptScore W4308930804C27872270 @default.
• W4308930804 hasConceptScore W4308930804C28826006 @default.
• W4308930804 hasConceptScore W4308930804C33923547 @default.
• W4308930804 hasConceptScore W4308930804C41008148 @default.
• W4308930804 hasConceptScore W4308930804C66938386 @default.
• W4308930804 hasConceptScore W4308930804C73000952 @default.
• W4308930804 hasFunder F4320320924 @default.
• W4308930804 hasFunder F4320334678 @default.

• next