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Journal of Functional Analysis, ISSN 0022-1236, 01/2016, Volume 270, Issue 2, pp. 671 - 704
Classical taut strings and their multidimensional generalizations appear in a broad range of applications. In this paper we suggest a general approach based on... 
Invariant K-minimal sets | Real interpolation | Taut strings | Invariant k-minimal sets | MATHEMATICS
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 02/2015, Volume 125, Issue 2, pp. 401 - 427
Let W be a Wiener process. For r>0 and T>0 let IW(T,r)2 denote the minimal value of the energy ∫0Th′(t)2dt taken among all absolutely continuous functions h(⋅)... 
Wiener process | Gaussian processes | Markovian pursuit | Taut string | STATISTICS & PROBABILITY | STRASSEN
Journal Article
COMMUNICATIONS IN MATHEMATICAL SCIENCES, ISSN 1539-6746, 2019, Volume 17, Issue 4, pp. 941 - 968
We define the space of functions of bounded variation (BV) on the graph. Using the notion of divergence of flows on graphs, we show that the unit ball of the... 
MATHEMATICS, APPLIED | TEXTURE | ROF model on the graph | BM3D | Primal-dual | Total variation | Split Bregman | ALGORITHMS | CONSTRAINED TOTAL VARIATION | IMAGE DECOMPOSITION
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2008, Volume 136, Issue 7, pp. 2505 - 2513
It is shown that if we restrict the identity minus Hardy operator on the cone of nonnegative decreasing functions f in L^{p}, then we have the sharp estimate... 
Integers | Mathematical intervals | Linear transformations | Mathematical tables | Polynomials | Mathematical functions | Coefficients | Laguerre functions | Decreasing functions | Cone of decreasing functions | The Hardy operator | Sharp estimates | MATHEMATICS | MATHEMATICS, APPLIED | the Hardy operator | cone of decreasing functions | sharp estimates
Journal Article
10/2019
In this article, we study theoretical aspects of the $\ell^{1}$-anisotropic Rudin-Osher-Fatemi (ROF) model on hyperrectangular domains of arbitrary dimension.... 
Mathematics - Optimization and Control
Journal Article
Journal of Fourier Analysis and Applications, ISSN 1069-5869, 06/2017, Volume 23, Issue 3, pp. 572 - 611
A sufficient condition for a set Omega subset of L-1 ([0, 1](m)) to be invariant K-minimal with respect to the couple is established. Through this condition,... 
Invariant K-minimal sets | Real interpolation | Taut strings | MATHEMATICS, APPLIED | THEOREM | Algorithms
Journal Article
Journal of Communications and Networks, ISSN 1229-2370, 04/2018, Volume 20, Issue 2, pp. 207 - 218
We consider buffered real-time communication over channels with time-dependent capacities which are known in advance. The real-time constraint is imposed in... 
Channel capacity | source coding | taut string | Receivers | Streaming media | Distortion | Encoding | Real-time systems | Buffers | real-time systems | distortion | TRANSMISSION | ENERGY | BIT-RATE VIDEO | COMPUTER SCIENCE, INFORMATION SYSTEMS | TELECOMMUNICATIONS | ALLOCATION | Time dependence | Coding | Strategy | Real time | Strings | Channels
Journal Article
SIAM journal on imaging sciences, ISSN 1936-4954, 01/2019, Volume 12, Issue 4, pp. 1643 - 1668
SIAM J. Imaging Sciences, 12(4):1643-1668, 2019 Total variation flow, total variation regularization and the taut string algorithm are known to be equivalent... 
Mathematics - Optimization and Control
Journal Article
11/2019
In: Lellmann J., Burger M., Modersitzki J. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2019. Lecture Notes in Computer Science, vol... 
Mathematics - Optimization and Control
Journal Article
11/2019
Commun. Math. Sci., 17(4), pp. 961-968, 2019 We define the space of functions of bounded variation ($BV$) on the graph. Using the notion of divergence of flows... 
Mathematics - Optimization and Control
Journal Article
05/2014
Stoch. Proc. Appl., 2015, 125, 401-427 Let $W$ be a Wiener process. The function $h(\cdot)$ minmizing energy $\int_0^T h'(t)^2\, dt$ among all functions... 
Mathematics - Probability
Journal Article
2018, Volume 20, Issue 2
We consider buffered real-time communication over channels with time-dependent capacities which are known in advance. The real-time constraint is imposed in... 
Engineering and Technology | Elektroteknik och elektronik | Buffers; distortion; real-time systems; source coding; taut string | Electrical Engineering, Electronic Engineering, Information Engineering | Teknik och teknologier | Telekommunikation | Telecommunications
Publication
2017, Volume 23, Issue 3
A sufficient condition for a set Ω ⊂ L1([0,1]m to be invariant K-minimal with respect to the couple (L1([0,1]m)), L∞([0,1]m) is established. Through this... 
Naturvetenskap | Matematisk analys | Real interpolation | Invariant K-minimal sets | Mathematics | Natural Sciences | Matematik | Mathematical Analysis | Taut strings
Publication
2016, Volume 270, Issue 2
Classical taut strings and their multidimensional generalizations appear in a broad range of applications. In this paper we suggest a general approach based on... 
Naturvetenskap | Taut strings; Real interpolation; Invariant K-minimal sets | Mathematics | Natural Sciences | Matematik
Publication
2015, Volume 125, Issue 2
Let W be a Wiener process. For r greater than 0 and T greater than 0 let I-W (T, r)(2) denote the minimal value of the energy integral(T)(0) h(t)(2)dt taken... 
Naturvetenskap | Mathematics | Gaussian processes; Markovian pursuit; Taut string; Wiener process | Natural Sciences | Matematik
Publication
2008, Volume 136, Issue 7
It is shown that if we restrict the identity minus Hardy operator on the cone of nonnegative decreasing functions f in L-p, then we have the sharp... 
Naturvetenskap | The Hardy operator | cone of decreasing functions | sharp estimates | Mathematics | Natural Sciences | Matematik
Publication
2008, Volume 136, Issue 7
It is shown that if we restrict the identity minus Hardy operator on the cone of nonnegative decreasing functions f in L-p, then we have the sharp estimate... 
Naturvetenskap | Matematisk analys | Mathematics | Natural Sciences | Matematik | Mathematical Analysis
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