Found 195 Documents (Results 1–100)
Real order total variation with applications to the loss functions in learning schemes. (English) Zbl 07864530
A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow. (English) Zbl 07846914
A Wasserstein distance and total variation regularized model for image reconstruction problems. (English) Zbl 07841494
BMO-type functionals related to the total variation and connection to denoising models. (English) Zbl 1539.49037
Reviewer: Costică Moroşanu (Iaşi)
Linear inverse problems with Hessian-Schatten total variation. (English) Zbl 1536.46060
Reviewer: Constantin Niculescu (Craiova)
Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian-Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems. (English) Zbl 07777012
The minimal affine total variation on \(BV(\mathbb{R}^n)\). (English) Zbl 1533.49032
Reviewer: Andrey Zahariev (Plovdiv)
Bilevel training schemes in imaging for total variation-type functionals with convex integrands. (English) Zbl 1507.94010
Reviewer: Oscar Bustos (Córdoba)
Metric entropy for Hamilton-Jacobi equations with uniformly directionally convex Hamiltonian. (English) Zbl 1498.49045
\((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces. (English) Zbl 1493.05276
Reviewer: Yilun Shang (Newcastle)
Multiplication operators between different Wiener-type variation spaces. (English) Zbl 1486.26021
Reviewer: Georgios Psaradakis (Caserta)
Least gradient functions in metric random walk spaces. (English) Zbl 1483.60068
Reviewer: Yana Kinderknecht (Saarbrücken)
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. (English) Zbl 1472.35018
Reviewer: Jan Giesselmann (Darmstadt)
Crouzeix-Raviart approximation of the total variation on simplicial meshes. (English) Zbl 1486.49062
Reviewer: Hang Lau (Montréal)
Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid. (English) Zbl 1448.76176
On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. (English) Zbl 1444.49008
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces. (English) Zbl 1435.30165
Generating structured nonsmooth priors and associated primal-dual methods. (English) Zbl 1446.49025
Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 437-502 (2019).
A perfect reconstruction property for PDE-constrained total-variation minimization with application in quantitative susceptibility mapping. (English) Zbl 1437.35680
Doubly penalized estimation in additive regression with high-dimensional data. (English) Zbl 1436.62358
Reviewer: Fraser Daly (Edinburgh)
Infimal convolution of oscillation total generalized variation for the recovery of images with structured texture. (English) Zbl 1419.94004
Analysis and an interior-point approach for TV image reconstruction problems on smooth surfaces. (English) Zbl 1408.94240
Non-local functionals related to the total variation and connections with image processing. (English) Zbl 1398.49042
Reviewer: Sorin-Mihai Grad (Vienna)
Signal recovery via TV-type energies. (English) Zbl 1392.49003
St. Petersbg. Math. J. 29, No. 4, 657-681 (2018) and Algebra Anal. 29, No. 4, 159-195 (2017).
An enhanced FIVER method for multi-material flow problems with second-order convergence rate. (English) Zbl 1406.76061
Curvature-dependent energies: a geometric and analytical approach. (English) Zbl 1381.49010
Reviewer: Georgios Psaradakis (Mannheim)
Stability and boundedness in the numerical solution of initial value problems. (English) Zbl 1368.65122
Pointwise selection theorems for metric space valued bivariate functions. (English) Zbl 1375.26028
Reviewer: Tomasz Natkaniec (Gdańsk)
Approximation by a Kantorovich variant of Szász operators based on Brenke-type polynomials. (English) Zbl 1360.41009
Reviewer: Włodzimierz Łenski (Poznań)
Implementation of high-order variational models made easy for image processing. (English) Zbl 1388.94014
On the optimal estimation of probability measures in weak and strong topologies. (English) Zbl 1360.62163
On the rate of convergence of the Stancu type Bernstein operators for functions of bounded variation. (English) Zbl 1397.41004
A study of the one dimensional total generalised variation regularisation problem. (English) Zbl 1336.49044
Simulation of real discrete time Gaussian multivariate stationary processes with given spectral densities. (English) Zbl 1330.62352
Non-overlapping domain decomposition methods for dual total variation based image denoising. (English) Zbl 1323.65016
Reviewer: Juan Monterde (Burjasot)
New approximations of the total variation and filters in imaging. (English) Zbl 1325.26036
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 2, 223-240 (2015).
The jump set under geometric regularization. Part 1: Basic technique and first-order denoising. (English) Zbl 1325.49053
Reviewer: Sorin-Mihai Grad (Chemnitz)
Error control and adaptivity for a variational model problem defined on functions of bounded variation. (English) Zbl 1311.65141
Exact solutions of one-dimensional total generalized variation. (English) Zbl 1316.49021
Reviewer: Sorin-Mihai Grad (Chemnitz)
Inequalities for the Riemann-Stieltjes integral of under the chord functions with applications. (English) Zbl 1310.26019
Regularization of linear inverse problems with total generalized variation. (English) Zbl 1302.65167
An augmented Lagrangian algorithm for total bounded variation regularization based image deblurring. (English) Zbl 1290.94010
Discrete total variation flows without regularization. (English) Zbl 1292.65106
Reviewer: Jan Lovíšek (Bratislava)
On the Hammerstein equation in the space of functions of bounded \(\varphi \)-variation in the plane. (English) Zbl 1299.45008
Reviewer: Ondřej Došlý (Brno)
MSC:
45G10
Higher-order total variations for functions of several variables and their application in the theory of ill-posed problems. (English. Russian original) Zbl 1290.35320
Proc. Steklov Inst. Math. 280, Suppl. 1, S119-S133 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 198-212 (2012).
Reviewer: Bangti Jin (College Station)
On a generalisation of the Hahn-Jordan decomposition for real càdlàg functions. (English) Zbl 1279.26024
Reviewer: Vladimír Janiš (Banská Bystrica)
MSC:
26A45
On the total variations for the inverse of a \(BV\)-homeomorphism. (English) Zbl 1279.26029
Reviewer: Ivan Podvigin (Novosibirsk)
A pointwise selection principle for maps of several variables via the total joint variation. (English) Zbl 1264.26017
The existence of stepsize-coefficients for boundedness of linear multistep methods. (English) Zbl 1255.65136
MSC:
65L06
Mixed Tikhonov regularization in Banach spaces based on domain decomposition. (English) Zbl 1281.65085
Boundedness and compactness of pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces. (English) Zbl 1263.47061
Reviewer: Oscar Blasco (Valencia)
Stepsize restrictions for boundedness and monotonicity of multistep methods. (English) Zbl 1261.65084
Reviewer: Vu Hoang Linh (Hanoi)
Total bounded variation-based Poissonian images recovery by split Bregman iteration. (English) Zbl 1252.94014
Special boundedness properties in numerical initial value problems. (English) Zbl 1239.65045
Reviewer: Manuel Calvo (Zaragoza)
Boundedness and strong stability of Runge-Kutta methods. (English) Zbl 1218.65068
Reviewer: Manuel Calvo (Zaragoza)
Some remarks on the algebra of functions of two variables with bounded total \(\Phi\)-variation in Schramm sense. (English) Zbl 1225.26027
MSC:
26B30
A genuinely high order total variation diminishing scheme for one-dimensional scalar conservation laws. (English) Zbl 1226.65083
Reviewer: R. K. Mohanty (Delhi)
An introduction to total variation for image analysis. (English) Zbl 1209.94004
Fornasier, Massimo (ed.), Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school “Theoretical foundations and numerical methods for sparse recovery”, Vienna, Austria, August 31 – September 4, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-022614-0/hbk; 978-3-11-022615-7/ebook). Radon Series on Computational and Applied Mathematics 9, 263-340 (2010).
Exact reconstruction of damaged color images using a total variation model. (English) Zbl 1198.49045
Split Bregman iteration algorithm for total bounded variation regularization based image deblurring. (English) Zbl 1202.94062
Reviewer: Tzvetan Semerdjiev (Sofia)
MSC:
94A08
Total generalized variation. (English) Zbl 1195.49025
Maps of several variables of finite total variation. I: Mixed differences and the total variation. (English) Zbl 1200.26018
Reviewer: Martin Väth (Berlin)
MSC:
26B30
Maps of several variables of finite total variation. II: E. Helly-type pointwise selection principles. (English) Zbl 1200.26017
Reviewer: Martin Väth (Berlin)
Analysis of the bounded variation and the G regularization for nonlinear inverse problems. (English) Zbl 1192.65065
Reviewer: János Karátson (Budapest)
Differentiating maps into \(L^1\), and the geometry of BV functions. (English) Zbl 1194.22009
Reviewer: Gheorghe Zet (Iaşi)
Bounds for eigenvalues of the \(p\)-Laplacian with weight function of bounded variation. (English) Zbl 1228.34046
Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 2: Systems and mathematical physics. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0160-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0161-0/ebook). Operator Theory: Advances and Applications 203, 99-113 (2010).
Stepsize conditions for boundedness in numerical initial value problems. (English) Zbl 1209.65074
Reviewer: Tomas Vejchodsky (Praha)
Efficient schemes for total variation minimization under constraints in image processing. (English) Zbl 1191.94029
Multiscale image representation using novel integro-differential equations. (English) Zbl 1185.68814
Structural observations for eigenvalue type problems associated with the vectorial total variation. (English) Zbl 1190.47066
Reviewer: Dumitru Motreanu (Perpignan)
Convergence of Godunov-type schemes for scalar conservation laws under large time steps. (English) Zbl 1176.65096
Third-order modified coefficient scheme based on essentially non-oscillatory scheme. (English) Zbl 1176.65092
Strong approximation of sets in BV\((\varOmega )\). (English) Zbl 1172.49027
Reviewer: Aris Daniilidis (Bellaterra)
Local approximation by a variant of Bernstein-Durrmeyer operators. (English) Zbl 1175.41020
Reviewer: Ioan Raşa (Cluj-Napoca)
On Kantorovich process of a sequence of the generalized linear positive operators. (English) Zbl 1152.41013
Reviewer: Juri M. Rappoport (Moskva)
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