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Shorthand Notation for Rounding Errors
1980The first modern papers dealing with rounding errors were rather long. Gradually the presentation became more concise. Here we discuss a shorthand notation. It leads almost immediately to basic results concerning polynomials, triangular systems, elimination, and other problems.
R. Scherer, K. Zeller
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Round-off errors in variational calculations
Journal of Computational Physics, 1968Abstract Rigorous bounds are derived for the effect of round-off errors in variational calculations for eigenvalues of linear operators. These bounds are simple to compute. They are used to derive an alternative variation principle which minimizes the effect of round-off errors. A numerical example of the use of the techniques is given.
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Weight-Rounding Error in Deep Neural Networks
Current AI technologies based on deep neural networks (DNNs) are computationally extremely demanding, which limits their widespread deployment in embedded devices with constrained energy resources (e.g. battery-powered smartphones). One possible approach to solving this problem is to reduce the precision of weight parameters, which can save an enormousJiří Šíma, Petra Vidnerová
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Rounding errors in algebraic processes
USSR Computational Mathematics and Mathematical Physics, 1965Harlan D. Mills, J. H. Wilkinson
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Hydrostatic pressure and the actomyosin cortex drive mitotic cell rounding
Nature, 2011Martin Philip Stewart +2 more
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