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Afternotes on numerical analysis
G. W. Stewart
- 01 Jan 1987
129
About: The article was published on 01 Jan 1987. and is currently open access. The article focuses on the topics: Numerical analysis.
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Citations
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I-BERT: Integer-only BERT Quantization
Sehoon Kim,Amir Gholaminejad,Zhewei Yao,Michael W. Mahoney,Eecs Kurt Keutzer +4 more
- 18 Jul 2021
TL;DR: This work proposes a novel integer-only quantization scheme for Transformer based models that quantizes the entire inference process, and demonstrates how to approximate nonlinear operations in Transformer architectures, e.g., GELU, Softmax, and Layer Normalization, with lightweight integer computations.
Verifying the Solution from a Nonlinear Solver: A Case Study
TL;DR: The article was to provide a four-part methodology for verifying the solution from a nonlinear solver: check the gradient, examine the trace, analyze the Hessian, and profile the likelihood, and concluded that the solution found was, at best, a tentative solution.
244
Numerical integration: a method for improving solution stability in models of the circulation.
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207
Assessing the Reliability of Statistical Software: Part I
TL;DR: In this paper, a set of intermediate level tests focusing on three areas: estimation, both linear and nonlinear; random number generation; and statistical distributions (e.g., for calculating p-values).
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•Proceedings Article
Matrix inversion using Cholesky decomposition
Aravindh Krishnamoorthy,Deepak Menon +1 more
- 01 Sep 2013
TL;DR: In this article, a method for matrix inversion based on Cholesky decomposition with reduced number of operations by avoiding computation of intermediate results is presented, and fixed point simulations are used to compare the numerical accuracy of the method.
119
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