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Journal Article
Information systems journal (Oxford, England), ISSN 1350-1917, 2018, Volume 28, Issue 1, pp. 227 - 261
...: the inverse square root method, and the gamma‐exponential method. Based on three Monte Carlo experiments, we demonstrate that both methods are fairly accurate... 
statistical power | information systems | structural equation modelling | partial least squares | Monte Carlo simulation | DESIGN | MANAGEMENT | POWER | SIMULATION | MONTE-CARLO | INDICATORS | ENDOGENEITY | INFORMATION SCIENCE & LIBRARY SCIENCE | PARTIAL LEAST-SQUARES | INFORMATION-SYSTEMS | NONNORMAL DATA | Monte Carlo method | Analysis | Methods
Journal Article
IEEE transactions on power electronics, ISSN 1941-0107, 2015, Volume 30, Issue 9, pp. 4774 - 4783
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 08/2017, Volume 18, pp. 1 - 29
.... These penalized estimators have the square root of the residual sum of squared errors as loss function, and any weakly decomposable norm as penalty function... 
Structured sparsity | Sharp oracale inequality | Square root LASSO | Weak decomposability | Karush-Kuhn-Tucker | SPARSITY | LASSO | weak decomposability | sharp oracale inequality | SELECTION | structured sparsity | AGGREGATION | SLOPE | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Operations research, ISSN 1526-5463, 2015, Volume 63, Issue 5, pp. 1026 - 1043
Journal Article
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2019, Volume 40, Issue 2, pp. 696 - 719
We construct a family of iterations for computing the principal square root of a square matrix A using Zolotarev's rational minimax approximants of the square root function... 
matrix square root | Denman Beavers iteration | MATHEMATICS, APPLIED | Zolotarev | matrix iteration | Pade approximation | Chebyshev approximation | Newton iteration | DECOMPOSITION | rational approximation | minimax
Journal Article
Electronic journal of statistics, ISSN 1935-7524, 2018, Volume 12, Issue 1, pp. 741 - 766
... estimators, the Square-Root Lasso and the Square-Root Slope can achieve the optimal minimax prediction rate, which is (s/n) log (p... 
Adaptivity | High-dimensional statistics | Minimax rates | Square-root estimators | Sparse linear regression | REGRESSION | adaptivity | STATISTICS & PROBABILITY | minimax rates | high-dimensional statistics | square-root estimators
Journal Article
International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 10/2018, Volume 28, Issue 15, pp. 4500 - 4527
...‐root UKFs for quaternionic systems proposed in the literature. First, we classify the algorithms according to the preservation of the unity norm of the quaternion variables... 
square‐root unscented Kalman filter (SRUKF) | unit quaternion | unscented Kalman filter (UKF) | attitude estimation | square-root unscented Kalman filter (SRUKF) | MATHEMATICS, APPLIED | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Incompatibility | Algorithms | Preservation | Quaternions | Kalman filters | Spacecraft tracking
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2018, Volume 316, pp. 245 - 255
We present a mathematical analysis of transformations used in fast calculation of inverse square root for single-precision floating-point numbers... 
Magic constant | Inverse square root | Floating-point arithmetic | Newton–Raphson method | MATHEMATICS, APPLIED | Newton-Raphson method | Usage | Analysis | Numerical analysis
Journal Article
The Journal of thoracic and cardiovascular surgery, ISSN 0022-5223, 2014, Volume 147, Issue 6, pp. 1758 - 1767.e4
Journal Article
Biometrika, ISSN 1464-3510, 2011, Volume 98, Issue 4, pp. 791 - 806
.... The method is a modification of the lasso, called the square-root lasso. The method is pivotal in that it neither relies on the knowledge of the standard deviation σ... 
Conic sections | Linear regression | Applied mathematics | Least squares | Eigenvalues | Regression analysis | Estimators | Consistent estimators | Oracles | Estimation methods | Moderate deviation theory | High-dimensional sparse model | Conic programming | REGRESSION | CONSISTENCY | INEQUALITIES | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | STATISTICS & PROBABILITY | SELECTION
Journal Article
Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, 09/2019, Volume 271, p. 104145
•Gauge conditions on the “square root” of the conformation tensor are examined.•The procedure applies to both deterministic and fluctuating dynamic models... 
Cholesky decomposition | Viscoelasticity | Gauge conditions | Conformation tensor | Symmetric square root | Condensed Matter Physics | Materials Science(all) | Chemical Engineering(all) | Mechanical Engineering | Applied Mathematics | MECHANICS | Tensors | Decomposition | Mathematical analysis | Model accuracy | Rheological properties
Journal Article
Analog integrated circuits and signal processing, ISSN 1573-1979, 2018, Volume 98, Issue 1, pp. 101 - 107
Journal Article