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Showing 1 to 4 of 4 for “"Atomic decomposition"”.
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Discrete Littlewood-Paley-Stein Theory And Wolff Potentials On Homogeneous Spaces And Multi-Parameter Hardy Spaces
… two parts:</p> <p>In part I, We establish a new atomic decomposition of the multi-parameter Hardy spaces of homogeneous type and obtain the associated $H^p-L^p$ and $H^p-H^p$ boundedness criterions for singular integral operators. On the other hand, we compare the Wolff and Riesz potentials on …
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Linear algebraic approaches to coding for multiple unicast networks
… practical network coding results. Our results on atomic decomposition of network transfer matrix and the edge reduction lemma substantiate the original algebraic framework proposed in [1], further facilitating its application in the non-multicast scenarios. We dissect the transfer matrices - the …
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Optimization methods for active and passive localization
… correct recovery of the sources' locations by atomic norm minimization. A second-order-cone-based algorithm is developed to produce the optimal atomic decomposition, and it is shown to produce high accuracy location estimates over complex scenes, in which sources are subject to diverse …
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Efficient and guaranteed algorithms for sparse inverse problems
… data approximation bound. We propose an atomic decomposition providing an analogy between parsimonious representations of a sparse vector and a low-rank matrix and extending efficient greedy algorithms from the vector to the matrix case. In particular, we propose an efficient and …