Sketch 'n Solve: An Efficient Python Package for Large-Scale Least Squares Using Randomized Numerical Linear Algebra We present Sketch 'n Solve, an open-source Python package that implements efficient randomized numerical linear algebra (RandNLA) techniques for solving la... A Lavaee 被引量: 0发...
Randomized numerical linear algebraSpatial autoregressive modelThe spatial autoregressive (SAR) model is a classical model in spatial econometrics and has become an important tool in network analysis. However, with large-scale networks, existing methods of likelihood-based inference for the SAR model ...
these are powerful and standard techniques in randomized numerical linear algebra. With this recognition, we are able to employ the large body of work in numerical linear algebra to obtain algorithms for these problems that are simpler or faster (or both) than existing approaches. Our experiments...
The power method and block Lanczos method are popular numerical algorithms for computing the truncated singular value decomposition (SVD) and eigenvalue decomposition problems. Especially in the literature of randomized numerical linear algebra, the power method is widely applied to improve the quality ...
while linear algebra algorithms have been of interest for decades in areas such as numerical linear algebra (NLA) and scientific computing, in recent years, there has been renewed interest in developing matrix algorithms that are appropr...
Drineas, P., Mahoney, M.W.: Randnla: randomized numerical linear algebra. Commun. ACM 59(6), 80–90 (2016) Article Google Scholar Finding his Voice. Western Electric Company (1929). https://archive.org/details/FindingH1929 Elfving, T.: Block-iterative methods for consistent and inconsis...
The development of randomized algorithms for numerical linear algebra, e.g.for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one of the most frequently discussed algorithms in the literature for dimensionality reduction—specifically ...
Numerical Linear Algebra (SIAM, 1997). Saad, Y. Iterative Methods for Sparse Linear Systems (SIAM, 2003). Strohmer, T. & Vershynin, R. A randomized Kaczmarz algorithm with exponential convergence. J. Fourier Anal. Appl. 15, 262 (2007). Article MathSciNet Google Scholar Harrow, A. W...
In their elegant 1997 textbook on numerical linear algebra [36],Trefethen and Bau write,“In ending this book with the subject of preconditioners, we f i ndourselves at the philosophical center of the scientif i c computing ofthe future... Nothing will be more central to computational science...
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