Found 92 Documents (Results 1–92)
Wasserstein gradient flow of the Fisher information from a non-smooth convex minimization viewpoint. (English) Zbl 1537.65098
Exponential entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations. (English) Zbl 1531.35320
PDE-constrained shape optimization: toward product shape spaces and stochastic models. (English) Zbl 07914380
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 1585-1630 (2023).
Error guarantees for least squares approximation with noisy samples in domain adaptation. (English) Zbl 07771610
Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging. (English) Zbl 1518.94005
Towards off-the-grid algorithms for total variation regularized inverse problems. (English) Zbl 07694847
Automated image restoration and segmentation using Mumford-Shah-like regularization and topological asymptotic expansion. (English) Zbl 07630563
\((f,\Gamma)\)-divergences: interpolating between \(f\)-divergences and integral probability metrics. (English) Zbl 07625192
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics. (English) Zbl 07599627
On the strong convergence of forward-backward splitting in reconstructing jointly sparse signals. (English) Zbl 1495.94012
Reviewer: Fritz Keinert (Ames)
2D and 3D image reconstruction from slice data based on a constrained bilateral smoothing and dynamic mode decomposition. (English) Zbl 1510.94017
Formulation and properties of a divergence used to compare probability measures without absolute continuity. (English) Zbl 1478.60008
Multigrid methods for image registration model based on optimal mass transport. (English) Zbl 07468063
Tai, Xue-Cheng (ed.) et al., Mathematical methods in image processing and inverse problems. Selected papers based on the presentations at the international workshop on image processing and inverse problems, IPIP 2018, Beijing, China, April 21–24, 2018. Singapore: Springer. Springer Proc. Math. Stat. 360, 197-221 (2021).
Improved recovery guarantees and sampling strategies for TV minimization in compressive imaging. (English) Zbl 1479.94008
Reviewer: George Stoica (Saint John)
Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004
Reviewer: Alexander Ulanovskii (Stavanger)
Robust bounds and optimization at the large deviations scale for queueing models via Rényi divergence. (English) Zbl 1476.60056
Lagrangian uncertainty quantification and information inequalities for stochastic flows. (English) Zbl 1481.60104
Approximating the total variation with finite differences or finite elements. (English) Zbl 1491.65046
Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 383-417 (2021).
Quantification of model uncertainty on path-space via goal-oriented relative entropy. (English) Zbl 1472.62042
The gap between theory and practice in function approximation with deep neural networks. (English) Zbl 1483.65028
A stochastic multi-layer algorithm for semi-discrete optimal transport with applications to texture synthesis and style transfer. (English) Zbl 1517.49028
Numerical subspace algorithms for solving the tensor equations involving Einstein product. (English) Zbl 07332763
Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing. (English) Zbl 1460.42044
An algorithm for second order Mumford-Shah models based on a Taylor jet formulation. (English) Zbl 1458.94041
Asymptotic analysis for overlap in waveform relaxation methods for RC type circuits. (English) Zbl 1466.94075
A high-order scheme for image segmentation via a modified level-set method. (English) Zbl 1437.65094
Reviewer: Kanakadurga Sivakumar (Chennai)
On the stable sampling rate for binary measurements and wavelet reconstruction. (English) Zbl 1454.94032
A class of null space conditions for sparse recovery via nonconvex, non-separable minimizations. (English) Zbl 1458.94133
On reconstructing functions from binary measurements. (English) Zbl 1450.94025
Boche, Holger (ed.) et al., Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 97-128 (2019).
Reviewer: Ilya Krishtal (DeKalb)
Nanoelectronic coupled problems solutions – highlights from the nanoCOPS project. (English) Zbl 1450.82001
ter Maten, E. Jan W. (ed.) et al., Nanoelectronic coupled problems solutions. Cham: Springer. Math. Ind. 29, 1-21 (2019).
Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration. (English) Zbl 1468.65036
Correcting for unknown errors in sparse high-dimensional function approximation. (English) Zbl 1415.65030
Regularization of inverse problems via time discrete geodesics in image spaces. (English) Zbl 1448.94027
Primal and mixed finite element methods for deformable image registration problems. (English) Zbl 1429.94010
Three-dimensional registration and shape reconstruction from depth data without matching: a PDE approach. (English) Zbl 1416.65065
A gradient enhanced \(\ell_{1}\)-minimization for sparse approximation of polynomial chaos expansions. (English) Zbl 1415.65032
Robust information divergences for model-form uncertainty arising from sparse data in random PDE. (English) Zbl 07003639
A convex decomposition formula for the Mumford-Shah functional in dimension one. (English) Zbl 1405.49035
Reviewer: Sorin-Mihai Grad (Vienna)
Wasserstein dictionary learning: optimal transport-based unsupervised nonlinear dictionary learning. (English) Zbl 1437.94027
Infinite-dimensional compressed sensing and function interpolation. (English) Zbl 1396.41001
Reviewer: Antonio López Carmona (Granada)
Compressive sensing with cross-validation and stop-sampling for sparse polynomial chaos expansions. (English) Zbl 1403.62133
Polynomial approximation via compressed sensing of high-dimensional functions on lower sets. (English) Zbl 1516.94010
Exploration of efficient reduced-order modeling and a posteriori error estimation. (English) Zbl 07867054
A frame reconstruction algorithm with applications to magnetic resonance imaging. (English) Zbl 1384.94012
Pesenson, Isaac (ed.) et al., Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Basel: Birkhäuser/Springer (ISBN 978-3-319-55549-2/hbk; 978-3-319-55550-8/ebook; 978-3-319-55860-8/set). Applied and Numerical Harmonic Analysis, 185-213 (2017).
Convex histogram-based joint image segmentation with regularized optimal transport cost. (English) Zbl 1391.94094
A multiscale fourth-order model for the image inpainting and low-dimensional sets recovery. (English) Zbl 1368.65176
A unified approach to the well-posedness of some non-Lambertian models in shape-from-shading theory. (English) Zbl 1375.94018
Geometric properties of solutions to the total variation denoising problem. (English) Zbl 1369.94020
Fokker-Planck equations in the modeling of socio-economic phenomena. (English) Zbl 1362.35305
Reviewer: Rodica Luca (Iaşi)
Information metrics for long-time errors in splitting schemes for stochastic dynamics and parallel kinetic Monte Carlo. (English) Zbl 1355.65006
A partially reflecting random walk on spheres algorithm for electrical impedance tomography. (English) Zbl 1349.94030
A Luenberger observer for reaction-diffusion models with front position data. (English) Zbl 1349.76445
Convolutional Wasserstein distances: efficient optimal transportation on geometric domains. (English) Zbl 1334.68267
Preface. (English) Zbl 1329.00162
Fast automated detection of crystal distortion and crystal defects in polycrystal images. (English) Zbl 1328.68270
Minimal partitions and image classification using a gradient-free perimeter approximation. (English) Zbl 1304.49085
Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration. (English) Zbl 1367.94074
Ambrosio-Tortorelli segmentation of stochastic images: model extensions, theoretical investigations and numerical methods. (English) Zbl 1270.68352
A combined approach on RBC image segmentation through shape feature extraction. (English) Zbl 1264.94027
An overview of the topological gradient approach in image processing: advantages and inconveniences. (English) Zbl 1204.94012
On numerical methods for highly oscillatory problems in circuit simulation. (English) Zbl 1183.78018
From restoration by topological gradient to medical image segmentation via an asymptotic expansion. (English) Zbl 1171.94304
PDE-based signal quantization. (English) Zbl 1115.35333
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