Structural Reliability Analysis Using Orthogonalizable Power Polynomial Basis Vector
A new method for structural reliability analysis using orthogonalizable power polynomial basis vector is presented. Firstly, a power polynomial basis vector is adopted to express the initial series solution of structural response, which is determined by ...
Li Yejun, Huang Bin
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Identification of ground anchors reliability based on acceptance tests and the polynomial chaos expansion method [PDF]
The paper presents a reliability analysis of ground anchors based on acceptance tests and the polynomial chaos expansion method. First of all, it was estimated the probability of meeting the requirements of acceptance tests based on anchor tests realised
Marek Wyjadłowski +3 more
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MODIFIED METHOD OF CONSTRUCTING A MULTIVARIATE LINEAR REGRESSION GIVEN BY A REDUNDANT DESCRIPTION
A number of scientific works of Prof. O. A. Pavlov and his disciples is devoted to the development of an original method of efficient estimation of coefficients at nonlinear terms of multivariate polynomial regression given by a redundant description ...
Alexander Pavlov, Maxim Holovchenko
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On the roots of all-terminal reliability polynomials
25 ...
Jason I. Brown, Lucas Mol
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Reliable numerical methods for polynomial matrix triangularization [PDF]
Summary: Numerical procedures are proposed for triangularizing polynomial matrices over the field of polynomial fractions and over the ring of polynomials. They are based on two standard polynomial techniques: Sylvester matrices and interpolation. In contrast to other triangularization methods, the algorithms described in this paper only rely on well ...
Didier Henrion, Michael Sebek
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Extremely Optimal Graph Research for Network Reliability
Network reliability refers to a probabilistic measure of a network system’s ability to maintain its intended service functionality within a specified time interval and under given operating conditions.
Zhaoyang Wang, Zhonglin Ye
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Reliably Learning the ReLU in Polynomial Time
We give the first dimension-efficient algorithms for learning Rectified Linear Units (ReLUs), which are functions of the form $\mathbf{x} \mapsto \max(0, \mathbf{w} \cdot \mathbf{x})$ with $\mathbf{w} \in \mathbb{S}^{n-1}$. Our algorithm works in the challenging Reliable Agnostic learning model of Kalai, Kanade, and Mansour (2009) where the learner is ...
Surbhi Goel +3 more
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Chromatic, Flow and Reliability Polynomials: The Complexity of their Coefficients
We study the complexity of computing the coefficients of three classical polynomials, namely the chromatic, flow and reliability polynomials of a graph. Each of these is a specialization of the Tutte polynomial Σtijxiyj. It is shown that, unless NP = RP, many of the relevant coefficients do not even have good randomized approximation schemes.
Oxley, J, Welsh, D
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Optimization of the reliability polynomial in presence of mediocre elements [PDF]
AbstractSome connections between extremal set theory and the optimization of the reliability polynomial are shown. Then the concept of the reliability polynomial is generalized for the case when the elements can have three different states: good, mediocre and bad. The state of the device can be described by a 0,1,2 sequence.
Katona, Gyula, Woyczynski, W. A.
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Polynomial estimation method for PN sequence based on reliability accumulation
The issues of insufficient efficiency and poor error-tolerance of current high-order polynomial estimation me-thods under error conditions were studied.By combining the iterative berlekamp-massey(BM)algorithm in GF(2)and the improved Chase algorithm,a ...
Song CHEN, Kai-zhi HUANG, Hua ZHAO
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