SHAPE RECONSTRUCTION VIA EQUIVALENCE PRINCIPLES,CONSTRAINED INVERSE SOURCE PROBLEMS AND SPARSITY PROMOTION [PDF]
Progress In Electromagnetics Research, 2017 A new approach for position and shape reconstruction of both penetrable and impenetrable objects from the measurements of the scattered fields is introduced and described. The approach takes advantage of the fact that for perfect electric conductors the induced currents are localized on the boundary, and equivalent sources also placed on the surface of
Bevacqua M.T., Isernia T.
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Sparsity Equivalence of Anisotropic Decompositions [PDF]
, 2011 Anisotropic decompositions using representation systems such as curvelets, contourlet, or shearlets have recently attracted significantly increased attention due to the fact that they were shown to provide optimally sparse approximations of functions exhibiting singularities on lower dimensional embedded manifolds.
Gitta Kutyniok
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$NP/CLP$ Equivalence: A Phenomenon Hidden Among Sparsity Models for Information Processing [PDF]
, 2015 submitted to IEEE Transactions on Information Theory in June ...
Peng, Jigen, Yue, Shigang, Li, Haiyang
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Remote Sensing, 2023 Hyperspectral image (HSI) super-resolution is a vital technique that generates high spatial-resolution HSI (HR-HSI) by integrating information from low spatial-resolution HSI with high spatial-resolution multispectral image (MSI).
Yidong Peng +3 more
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Sparsest Univariate Learning Models Under Lipschitz Constraint
IEEE Open Journal of Signal Processing, 2022 Beside the minimizationof the prediction error, two of the most desirable properties of a regression scheme are stability and interpretability. Driven by these principles, we propose continuous-domain formulations for one-dimensional regression problems.
Shayan Aziznejad +2 more
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Hemodynamic Deconvolution Demystified: Sparsity-Driven Regularization at Work
Aperture Neuro, 2023 Deconvolution of the hemodynamic response is an important step to access short timescales of brain activity recorded by functional magnetic resonance imaging (fMRI).
Eneko Uruñuela +3 more
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Debiased inference for heterogeneous subpopulations in a high-dimensional logistic regression model
Scientific Reports, 2023 Due to the prevalence of complex data, data heterogeneity is often observed in contemporary scientific studies and various applications. Motivated by studies on cancer cell lines, we consider the analysis of heterogeneous subpopulations with binary ...
Hyunjin Kim, Eun Ryung Lee, Seyoung Park
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$NP/CMP$ Equivalence: A Phenomenon Hidden Among Sparsity Models $l_{0}$ Minimization and $l_{p}$ Minimization for Information Processing [PDF]
IEEE Transactions on Information Theory, 2015 In this paper, we have proved that in every underdetermined linear system $Ax=b$ , there corresponds a constant $p^{*}(A,b)>0$ such that every solution to the $l_{p}$ -norm minimization problem also solves the $l_{0}$ -norm minimization problem whenever $0 . This phenomenon is named $NP/CMP$ equivalence.
Jigen Peng, Shigang Yue, Haiyang Li
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Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations [PDF]
, 2020 We present and analyze a novel wavelet-Fourier technique for the numerical treatment of multidimensional advection-diffusion-reaction equations based on the CORSING (COmpRessed SolvING) paradigm.
Brugiapaglia, Simone +3 more
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The distributions of functions related to parametric integer optimization [PDF]
, 2020 We consider the asymptotic distribution of the IP sparsity function, which measures the minimal support of optimal IP solutions, and the IP to LP distance function, which measures the distance between optimal IP and LP solutions.
Oertel, Timm +2 more
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