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ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2017, Volume 36, Issue 4, pp. 1 - 11
Many algorithms on meshes require the minimization of composite objectives, i.e. , energies that are compositions of simpler parts. Canonical examples include... 
majorization | second order optimization | geometry processing | convex-concave | distortion | Distortion | Geometry processing | Convex-concave | Majorization | Second order optimization | COMPUTER SCIENCE, SOFTWARE ENGINEERING
Journal Article
Neural computation, ISSN 1530-888X, 2011, Volume 23, Issue 9, pp. 2421 - 2456
This letter describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost... 
MULTIPLICATIVE UPDATE ALGORITHMS | SPACE RECONSTRUCTION ALGORITHM | ROBUST | NEUROSCIENCES | DISCOVERY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Engineering Sciences | Signal and Image Processing | Computer Science
Journal Article
Stochastic processes and their applications, ISSN 0304-4149, 11/2019
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 10/2017, Volume 19, Issue 5, p. 1650044
In comparing geodesics induced by different metrics, Audenaert formulated the following determinantal inequality det ( A 2 + | B A | ) ≤ det ( A 2 + A B ) ,... 
log-majorization | Determinantal inequality | positive semidefinite matrix | MATHEMATICS | MATHEMATICS, APPLIED | MAJORIZATION | MATRICES | Equality
Journal Article
Journal of applied probability, ISSN 0021-9002, 09/2006, Volume 43, Issue 3, pp. 704 - 712
We characterize the (continuous) majorization of integrable functions introduced by Hardy, Littlewood, and Pólya in terms of the (discrete) majorization of... 
Discrete majorization | Convex order | Order statistic | Stochastic ordering | Increasing convex order | Schur-convex function | Continuous majorization | convex order | 60E15 | stochastic ordering | increasing convex order | 60E99 | discrete majorization | 26D1 | 62E99 | continuous majorization
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 11/2019, Volume 479, Issue 2, pp. 1738 - 1763
Let S∈Md(C)+ be a positive semidefinite d×d complex matrix and let a=(ai)i∈Ik∈R>0k, indexed by Ik={1,…,k}, be a k-tuple of positive numbers. Let Td(a) denote... 
Matrix approximation | Frame operator distance | Unitarily invariant norms | Majorization | MATHEMATICS | MATHEMATICS, APPLIED | PRESCRIBED NORMS | PROCRUSTES PROBLEMS
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 30, p. 305301
Although an input distribution may not majorize a target distribution, it may majorize a distribution which is close to the target. Here we consider a notion... 
state optimization | approximate transformations | majorization | state optimisation | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 06/2018, Volume 547, pp. 19 - 31
An eigenvalue inequality involving a matrix connection and its dual is established, and some log-majorization type results are obtained. In particular, some... 
Log-majorization | Furuta inequality | Matrix connections and means | Araki–Cordes inequality | Trace and determinantal inequalities | Eigenvalues | Singular values | Löwner–Heinz inequality | MATHEMATICS | MATHEMATICS, APPLIED | Araki Cordes inequality | Lowner Heinz inequality | Equality
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2011, Volume 381, Issue 2, pp. 935 - 946
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 05/2012, Volume 436, Issue 9, pp. 3177 - 3195
In this paper we use doubly stochastic operators to extend the notion of majorization on ℓ , where I is assumed to be an infinite set and p∈(1,+∞), and then... 
Linear preserver | Permutation | Doubly stochastic operator | Majorization
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 06/2015, Volume 474, pp. 124 - 140
In this paper for p∈[1,+∞) and a nonempty set I, we consider a natural preorder on ℓp(I), which is said to be “convex majorization”. Then some interesting... 
Convex equivalent | Isotonic | Linear preserver | Permutation | Convex majorization
Journal Article
Physical review. X, ISSN 2160-3308, 2018, Volume 8, Issue 4, p. 041051
Thermodynamics at the nanoscale is known to differ significantly from its familiar macroscopic counterpart: The possibility of state transitions is not... 
WORK | PRINCIPLE | MAJORIZATION | PHYSICS, MULTIDISCIPLINARY | QUANTUM
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 12/2009, Volume 57, Issue 12, pp. 4837 - 4851
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 11/2012, Volume 437, Issue 9, pp. 2340 - 2358
In this paper, we extend the notion of majorization to ℓ∞, the Banach space of all bounded real sequences, and investigate some of its properties. Considering... 
Linear preserver | Permutation | Majorization | Doubly stochastic operator | MATHEMATICS, APPLIED | FRAMES | MATRIX MAJORIZATION | SCHUR-HORN THEOREM
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 03/2018, Volume 40, Issue 3, pp. 527 - 541
Accompanied with the rising popularity of compressed sensing, the Alternating Direction Method of Multipliers (ADMM) has become the most widely used solver for... 
Jacobian matrices | Radio frequency | Computer vision | Unified frameworks of ADMM | mixed ADMM | Minimization | convex optimization | Compressed sensing | Standards | majorization minimization | Convergence | Usage | Machine vision | Convex programming | Iterative methods (Mathematics) | Optimization | Multipliers
Journal Article
IEEE transactions on signal processing, ISSN 1941-0476, 2018, Volume 66, Issue 1, pp. 113 - 128
Journal Article
IEEE transactions on signal processing, ISSN 1941-0476, 2018, Volume 66, Issue 10, pp. 2584 - 2599
This paper addresses the problem of downlink channel estimation in frequency-division duplexing massive multiple-input multiple-output systems. The existing... 
Geometry | Training | sparse Bayesian learning (SBL) | Discrete Fourier transforms | massive multiple-input multiple-output (MIMO) | majorization-minimization (MM) | Channel estimation | Scattering | Downlink | MIMO communication | off-grid refinement | WIRELESS | INFORMATION | PRINCIPLES | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
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