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Central effects of short-term spinal cord stimulation in postherpetic neuralgia: a longitudinal fMRI and DTI study. [PDF]
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Randomized algorithms in numerical linear algebra
Acta Numerica, 2017This survey provides an introduction to the use of randomization in the design of fast algorithms for numerical linear algebra. These algorithms typically examine only a subset of the input to solve basic problems approximately, including matrix multiplication, regression and low-rank approximation. The survey describes the key ideas and gives complete
Kannan, Ravindran, Vempala, Santosh
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Sensitivity analysis of random linear differential–algebraic equations using system norms
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pulch, Roland +2 more
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Visual cryptograms of random grids via linear algebra
Multimedia Tools and Applications, 2017Two visual models of image secret sharing have been studied: visual cryptography schemes (VCS), introduced by Naor and Shamir, and visual cryptograms of random grids (VCRG), introduced by Kafri and Keren. VCRG has gained much attention in academia than before to avoid the pixel expansion of VCS. Although there is a strict relation between VCRG and VCS,
Gang Shen, Feng Liu, Zhengxin Fu, Bin Yu
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Systems of Linear Algebraic Equations with Random Coefficients
Theory of Probability & Its Applications, 1992See the review Zbl 0732.60074.
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Application of laser speckle to randomized numerical linear algebra
Optical Data Science: Trends Shaping the Future of Photonics, 2018We propose and simulate integrated optical devices for accelerating numerical linear algebra (NLA) calculations. Data is modulated on chirped optical pulses and these propagate through a multimode waveguide where speckle provides the random projections needed for NLA dimensionality reduction.
Leif Johannson +5 more
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Topics in Randomized Numerical Linear Algebra
2013This thesis studies three classes of randomized numerical linear algebra algorithms, namely: (i) randomized matrix sparsification algorithms, (ii) low-rank approximation algorithms that use randomized unitary transformations, and (iii) low-rank approximation algorithms for positive-semidefinite (PSD) matrices.
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Generalized model of double random phase encoding based on linear algebra
Optics Communications, 2013Abstract We propose a generalized model for double random phase encoding (DRPE) based on linear algebra. We defined the DRPE procedure in six steps. The first three steps form an encryption procedure, while the later three steps make up a decryption procedure. We noted that the first (mapping) and second (transform) steps can be generalized.
Kazuya Nakano +3 more
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POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS WITH RANDOM PARAMETERS
International Journal for Uncertainty Quantification, 2011Technical applications are often modeled by systems of differential algebraic equations. The systems may include parameters that involve some uncertainties. We arrange a stochastic model for uncertainty quantification in the case of linear systems of differential algebraic equations.
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Random Matrices, Combinatorics, Numerical Linear Algebra and Complex Networks
2012Abstract : Understanding large, random, matrices is important in many areas of interest to AFORS. These includes the probabilistic analysis of problems in numerical linear algebra, the efficiency of the simplex method in linear programming, the key parameters in statistical sampling, the expansion of complex networks such as the Internet graph, to ...
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