Much faster algorithms for matrix scaling
WebThe operator scaling problem generalizes matrix scaling and frame scaling and has many applications; see Section I-D and Section IV. Much work has been done in analyzing …
Much faster algorithms for matrix scaling
Did you know?
WebMuch Faster Algorithms for Matrix Scaling Zeyuan Allen-Zhu [email protected] Institute for Advanced Study Yuanzhi Li [email protected] ... can use a matrix …Web2 iul. 2015 · Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar operations than the classical algorithm, have been considered primarily of theoretical interest. Apart from Strassen's original algorithm, few fast algorithms have been efficiently implemented or used in practical applications. …
WebWe present a spectral analysis of a continuous scaling algorithm for matrix scaling and operator scaling. The main result is that if the input matrix or operator has a spectral gap, then a natural gradient flow has linear convergence. This implies that a simple gradient descent algorithm also has linear convergence under the same assumption. The …Web16 iun. 2024 · In this paper, we present a fast non-uniform Fourier transform based reconstruction method, targeting at under-sampling high resolution Synchrotron-based micro-CT imaging. The proposed method manipulates the Fourier slice theorem to avoid the involvement of large-scale system matrices, and the reconstruction process is …
Web1 ian. 2024 · It exhibits perfect strong scaling within the maximum possible range. Benchmarking our implementation on a Cray XT4, we obtain speedups over classical and Strassen-based algorithms ranging from 24 ... Web1 oct. 2024 · Recently, there has been progress on designing faster algorithms for matrix scaling, motivated by its application on machine learning and the analysis of large data …
WebMuch Faster Algorithms for Matrix Scaling. Zeyuan Allen-Zhu, Yuanzhi Li, Rafael Oliveira, Avi Wigderson. October 2024. PDF.
WebBibliographic details on Much Faster Algorithms for Matrix Scaling. We are hiring! Would you like to contribute to the development of the national research data infrastructure …butterfield green hackneyWebMuch faster algorithms for matrix scaling. In 2024 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 890–901. Google Scholar Cross Ref; Josh Alman. 2024. Inequalties for matrix multiplication exponent. In Personal communication. Google Scholar; Josh Alman. 2024. Limits on the universal method for matrix ... butterfield grooming temeculaWebWe present a spectral analysis of a continuous scaling algorithm for matrix scaling and operator scaling. The main result is that if the input matrix or operator has a spectral …cdrh safety communicationWebMany more applications of matrix scaling and balancing are mentioned in [38, 31, 28]. ... At the same time there have been other, more sophisticated algorithmic approaches for … cdrh speaker liaisonWeb12 apr. 2024 · Download PDF Abstract: We present a polynomial time algorithm to approximately scale tensors of any format to arbitrary prescribed marginals (whenever …cdrh stands forWeb15 aug. 2024 · We will scale these images down to 500×281 and scale it up to 7373×4147, a scale factor of 1/3.84 and 3.84. It’s important not to use nice numbers, like a scale factor of 2, 4, 0.5, as they can be edge cases where the algorithms give out appealing results that do not reflect the general case. butterfield gourmetWeb7 apr. 2024 · We develop several efficient algorithms for the classical Matrix Scaling} problem, which is used in many diverse areas, from preconditioning linear systems to approximation of the permanent. On an input n× n matrix A, this problem asks to find diagonal (scaling) matrices X and Y (if they exist), so that X A Y ε-approximates a … butterfield grooming and pets