FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1137696290> ?p ?o ?g. }

• W1137696290 abstract "Signals describing the energy levels of quantum mechanical systems are, by definition, sparsein the energy domain. Processing these signals via sparsity promoting methods is thusreasonable and, as this dissertation argues, valuable.Quantum mechanical energy levels are determined experimentally through NMR spec-troscopy where noise, peak blurring, and long experiment times impede progress. We showhow l1-penalized optimization can lead to improved signal quality and reduce data acquisi-tion time in NMR spectroscopy.Quantum mechanical signal processing is central to MRI reconstruction. MRI data ac-quisition and reconstruction is highly time-consuming and expensive. We provide a fastconverging algorithm based on minimizing a combination total variation and framelet normswhich produces high-quality images from undersampled MRI data.In the field of numerical analysis, all the eigenvalues of a Hermitian matrix may be com-puted by simulating a fictitious quantum dynamical system with Hamiltonian correspondingto the matrix of interest and then determining the energy levels of this fictitious system. Bydetermining the energy levels with l1-penalized optimization we show that the number ofsimulation steps can be significantly reduced.Quantum mechanical systems have spatial components as well. When the spatial domain is partitioned according to the location of potential wells, one often finds low-energywavefunctions tend to localize within the confines of each partition. For a given partition,the energy levels of its corresponding localized wavefunctions often make up only a smallfraction of the complete range of energy levels. For situations where only a few eigenpairsare sought we introduce a projection-correction method allowing us to efficiently computeonly the low-energy eigenpairs which localize within a given spatial partition. In contrast tostandard methods for eigenvalue computation which specify only a part of the spectrum, ourmethod also allows one to isolate regions of space where prior information on eigenfunctionlocality is known." @default.
• W1137696290 created "2016-06-24" @default.
• W1137696290 creator A5025860046 @default.
• W1137696290 date "2012-01-01" @default.
• W1137696290 modified "2023-09-23" @default.
• W1137696290 title "Sparsity promoting optimization in quantum mechanical signal processing" @default.
• W1137696290 cites W1496092454 @default.
• W1137696290 cites W1563653928 @default.
• W1137696290 cites W1587273201 @default.
• W1137696290 cites W1603129633 @default.
• W1137696290 cites W1966840185 @default.
• W1137696290 cites W1968691112 @default.
• W1137696290 cites W1972273302 @default.
• W1137696290 cites W1972877268 @default.
• W1137696290 cites W1974919188 @default.
• W1137696290 cites W1977937121 @default.
• W1137696290 cites W1978673304 @default.
• W1137696290 cites W1984056442 @default.
• W1137696290 cites W1987997783 @default.
• W1137696290 cites W1996797998 @default.
• W1137696290 cites W2007584381 @default.
• W1137696290 cites W2009889784 @default.
• W1137696290 cites W2010239610 @default.
• W1137696290 cites W2011181254 @default.
• W1137696290 cites W2011718397 @default.
• W1137696290 cites W2012300893 @default.
• W1137696290 cites W2013893358 @default.
• W1137696290 cites W2014114313 @default.
• W1137696290 cites W2016114300 @default.
• W1137696290 cites W2020017746 @default.
• W1137696290 cites W2021114581 @default.
• W1137696290 cites W2022610317 @default.
• W1137696290 cites W2025086029 @default.
• W1137696290 cites W2025602166 @default.
• W1137696290 cites W2032222091 @default.
• W1137696290 cites W2032432089 @default.
• W1137696290 cites W2036595722 @default.
• W1137696290 cites W2039749839 @default.
• W1137696290 cites W2045726651 @default.
• W1137696290 cites W2046203404 @default.
• W1137696290 cites W2046282779 @default.
• W1137696290 cites W2049609055 @default.
• W1137696290 cites W2052014638 @default.
• W1137696290 cites W2052529495 @default.
• W1137696290 cites W2055151182 @default.
• W1137696290 cites W2056781506 @default.
• W1137696290 cites W2057261601 @default.
• W1137696290 cites W2061133539 @default.
• W1137696290 cites W2063354964 @default.
• W1137696290 cites W2063392856 @default.
• W1137696290 cites W2063791807 @default.
• W1137696290 cites W2065087367 @default.
• W1137696290 cites W2065964984 @default.
• W1137696290 cites W2067136705 @default.
• W1137696290 cites W2078204800 @default.
• W1137696290 cites W2081456683 @default.
• W1137696290 cites W2081864859 @default.
• W1137696290 cites W2085896759 @default.
• W1137696290 cites W2086670019 @default.
• W1137696290 cites W2087332491 @default.
• W1137696290 cites W2095711986 @default.
• W1137696290 cites W2099944953 @default.
• W1137696290 cites W2101675075 @default.
• W1137696290 cites W2102182691 @default.
• W1137696290 cites W2103955025 @default.
• W1137696290 cites W2105877514 @default.
• W1137696290 cites W2106463846 @default.
• W1137696290 cites W2107882641 @default.
• W1137696290 cites W2113215601 @default.
• W1137696290 cites W2116732229 @default.
• W1137696290 cites W2117756735 @default.
• W1137696290 cites W2119233169 @default.
• W1137696290 cites W2120991191 @default.
• W1137696290 cites W2122073968 @default.
• W1137696290 cites W2126894036 @default.
• W1137696290 cites W2127271355 @default.
• W1137696290 cites W2133307020 @default.
• W1137696290 cites W2134669225 @default.
• W1137696290 cites W2135718700 @default.
• W1137696290 cites W2141098983 @default.
• W1137696290 cites W2142058898 @default.
• W1137696290 cites W2144706786 @default.
• W1137696290 cites W2145020729 @default.
• W1137696290 cites W2145096794 @default.
• W1137696290 cites W2156607561 @default.
• W1137696290 cites W2156829680 @default.
• W1137696290 cites W2157831252 @default.
• W1137696290 cites W2158031413 @default.
• W1137696290 cites W2160459408 @default.
• W1137696290 cites W2164452299 @default.
• W1137696290 cites W2166167776 @default.
• W1137696290 cites W2168409000 @default.
• W1137696290 cites W2170816261 @default.
• W1137696290 cites W2175729654 @default.
• W1137696290 cites W2257056855 @default.
• W1137696290 cites W2798909945 @default.
• W1137696290 cites W2952365845 @default.
• W1137696290 hasPublicationYear "2012" @default.
• W1137696290 type Work @default.
• W1137696290 sameAs 1137696290 @default.

• next