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A thermodynamic inspired AI based search algorithm for solving ordinary differential equations. [PDF]
Murugesh V +3 more
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Randomized algorithms for distributed computation of principal component analysis and singular value decomposition. [PDF]
Li H, Kluger Y, Tygert M.
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Easy-MODA: Simplifying standardised registration of scientific simulation workflows through MODA template guidelines powered by the Enalos Cloud Platform. [PDF]
Kolokathis PD +23 more
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Optimizing FPGA implementation of high-precision chaotic systems for improved performance. [PDF]
Damaj I, Zaher A, Lawand W.
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Numerical stability of DeepGOPlus inference. [PDF]
Gonzalez Pepe I +3 more
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Inferring intrinsic neural timescales using optimal control theory. [PDF]
Kim JZ +9 more
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On the distributions of significant digits and roundoff errors
Communications of the ACM, 1974Generalized logarithmic law is derived for the distribution of the first t significant digits of a random digital integer. This result is then used to determine the distribution of the roundoff errors in floating-point operations, which is a mixture of uniform and reciprocal distributions.
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On Roundoff Error Growth in Elliptic Problems
ACM Transactions on Mathematical Software, 2018Large-scale linear systems arise in finite-difference and finite-element discretizations of elliptic problems. With increasing computer performance, ever larger systems are solved using direct methods. How large can such systems be without roundoff compromising accuracy? Here we model roundoff dynamics in standard LU
Ivo Babuska, Gustaf Söderlind
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