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Confidence Intervals for Stochastic Arithmetic [PDF]
ACM Transactions on Mathematical Software, 2021 Quantifying errors and losses due to the use of Floating-point (FP) calculations in industrial scientific computing codes is an important part of the Verification, Validation, and Uncertainty Quantification process. Stochastic Arithmetic is one way to model and estimate FP losses of accuracy, which scales well to large, industrial codes.
Pablo De Oliveira Castro +2 more
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Computation, 2023 Stochastic circuits are used in applications that require low area and power consumption. The computing performed using these circuits is referred to as Stochastic computing (SC).
P. Ashok, B. Bala Tripura Sundari
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Numerical validation of compensated algorithms with stochastic arithmetic [PDF]
Applied Mathematics and Computation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stef Graillat, Fabienne Jézéquel
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IEEE Access, 2020 Stochastic computing (SC) has been applied on the implementations of complex arithmetic functions. Complicated polynomial-based approximations lead to large hardware complexity of previous SC circuits for arithmetic functions.
Zidi Qin +6 more
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Stochastic Arithmetic as a Tool to Study the Stability of Biological Models
Biomath, 2014 The theoretical study of the stability of the numerical solution of a differential system may be complicated or even not feasible when the system is large and nonlinear.
Rene Alt, Jean-Luc Lamotte
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Implementation of a Low-Cost Navigation System Using Data Fusion of a Micro-Electro-Mechanical System Inertial Sensor and an Ultra Short Baseline on a Microcontroller [PDF]
SensorsIn this work, a low-cost low-power navigation solution for autonomous underwater vehicles is introduced utilizing a Micro-Electro-Mechanical System (MEMS) inertial sensor and an ultra short baseline (USBL) system.
Julian Winkler, Sabah Badri-Hoeher
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Numerical Validation of Compensated Summation Algorithms with Stochastic Arithmetic
Electronic Notes in Theoretical Computer Science, 2015 Compensated summation algorithms are designed to improve the accuracy of ill-conditioned sums. They are based on algorithms, such as FastTwoSum, which are proved to provide, with rounding to nearest, the sum of two floating-point numbers and the associated rounding error. Discrete stochastic arithmetic enables one to estimate rounding error propagation
Graillat, Stef +2 more
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Cellular Heterogeneity in Drug Uptake Amplifies Pharmacodynamic Variability: A Stochastic PK-PD Analysis. [PDF]
CPT Pharmacometrics Syst PharmacolABSTRACT Traditional pharmacokinetic‐pharmacodynamic models assume cellular homogeneity, yet clinical observations reveal substantial response variability even among patients with similar plasma exposure. We hypothesized that cellular heterogeneity in drug transporter expression, coupled with nonlinear dose–response relationships, can amplify ...
Duong NH +4 more
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Ecological Processes Underpinning Microbial Variability in Archean Granitoids Beneath the Deccan Traps: Evidence From Deep Drilling in Koyna, India. [PDF]
Environ Microbiol RepDeep biosphere hosted by Archean granitoid basement of Deccan Traps showed depth‐wise microbial partitioning. Limited dispersion and variable selection control community assembly. Fewer abundant bacterial taxa were ubiquitous, while large numbers of rare taxa remained localized.
Sahu RP +5 more
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Mathematics, 2021 The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method.
Samad Noeiaghdam +4 more
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