Results 11 to 20 of about 33,431,346 (225)
Sieve Method for Polynomial Linear Equivalence [PDF]
Journal of Applied Mathematics, 2013 We consider the polynomial linear equivalence (PLE) problem arising from the multivariate public key cryptography, which is defined as to find an invertible linear transformation ℒ satisfying 𝒫=𝒮∘ℒ for given nonlinear polynomial maps 𝒫 and 𝒮 over a ...
Baocang Wang, Yupu Hu
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Applying polynomial decoupling methods to the polynomial NARX model [PDF]
Mechanical Systems and Signal Processing, 2021 System identification uses measurements of a dynamic system's input and output to reconstruct a mathematical model for that system. These can be mechanical, electrical, physiological, among others. Since most of the systems around us exhibit some form of nonlinear behavior, nonlinear system identification techniques are the tools that will help us gain
Karami, Kiana +2 more
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Exponential Polynomial Block Methods [PDF]
SIAM Journal on Scientific Computing, 2021 In this paper we extend the polynomial time integration framework to include exponential integration for both partitioned and unpartitioned initial value problems. We then demonstrate the utility of the exponential polynomial framework by constructing a new class of parallel exponential polynomial block methods (EPBMs) based on the Legendre points ...
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Polynomial Supertree Methods Revisited [PDF]
Advances in Bioinformatics, 2010 Supertree methods allow to reconstruct large phylogenetic trees by combining smaller trees with overlapping leaf sets into one, more comprehensive supertree. The most commonly used supertree method, matrix representation with parsimony (MRP), produces accurate supertrees but is rather slow due to the underlying hard optimization problem. In this paper,
Brinkmeyer, Malte +2 more
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Probing band-center anomaly with the Kernel polynomial method [PDF]
Physica Scripta, 2019 We investigate the anomalous behavior of localization length of a non-interacting one-dimensional Anderson model at zero temperature. We report numerical calculations of the Thouless expression of localization length, based on the Kernel polynomial ...
N. A. Khan, Syed Tahir Amin
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Distinct partial sums in cyclic groups: polynomial method and constructive approaches [PDF]
Journal of combinatorial designs (Print), 2018 Let ( G , + ) be an abelian group and consider a subset A ⊆ G with ∣ A ∣ = k . Given an ordering ( a 1 , … , a k ) of the elements of A , define its partial sums by s 0 = 0 and s j = ∑ i = 1 j a i for 1 ≤ j ≤ k .
Jacob Hicks +2 more
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Mathematics, 2020 An arbitrary univariate polynomial of nth degree has n sequences. The sequences are systematized into classes. All the values of the first class sequence are obtained by Newton’s polynomial of nth degree. Furthermore, the values of all sequences for each
Ilija Tanackov +2 more
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A Polynomial Fitting Problem: The Orthogonal Distances Method
Mathematics, 2022 The classical curve-fitting problem to relate two variables, x and y, deals with polynomials. Generally, this problem is solved by the least squares method (LS), where the minimization function considers the vertical errors from the data points to the ...
Luis Alberto Cantera-Cantera +4 more
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The polynomial method strikes back: tight quantum query bounds via dual polynomials [PDF]
Electron. Colloquium Comput. Complex., 2017 The approximate degree of a Boolean function f is the least degree of a real polynomial that approximates f pointwise to error at most 1/3. The approximate degree of f is known to be a lower bound on the quantum query complexity of f (Beals et al., FOCS ...
Mark Bun, Robin Kothari, J. Thaler
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Method of orthotransformation of space images in conditions of lack of cue
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2016 The paper introduces a method of prompt orthotransformation of space images, based on the integration of the orbital and polynomial methods of photogrammetric image processing. The concept of the method consists in fragmentary formation of an orthoimage.
A. V. Spirin +3 more
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