Results 41 to 50 of about 906 (173)
Alexandria Engineering JournalIn this paper, a new type of piecewise fractional derivative (PFD) is introduced. The ordinary and distributed-order fractional derivatives in the Caputo sense are used to define this type of PFD.
M.H. Heydari, D. Baleanu, M. Bayramu
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On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices. [PDF]
PLoS ONE, 2017 A semi-nonparametric generalized multinomial logit model, formulated using orthonormal Legendre polynomials to extend the standard Gumbel distribution, is presented in this paper.
Ke Wang +3 more
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On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, EarlyView.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
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Data-driven sparse polynomial chaos expansion for models with dependent inputs
Journal of Safety Science and Resilience, 2023 Polynomial chaos expansions (PCEs) have been used in many real-world engineering applications to quantify how the uncertainty of an output is propagated from inputs by decomposing the output in terms of polynomials of the inputs.
Zhanlin Liu, Youngjun Choe
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Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, EarlyView.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
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Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials
Linear Algebra and its Applications, 2006 A polynomial Vandermonde matrix involving orthonormal polynomials is a matrix of the form: \(V_P(x)=[P_{i-1}(x_j)]_{i,j=1}^n\) where \(P_i\) are real polynomials, orthonormal on some interval \([a,b],\) \(\deg P_i=i,\) and \(x=(x_1,x_2,\dots ,x_n)\) is a complex \(n\)-vector.
Demmel, James, Koev, Plamen
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A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
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Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
EPJ Web of Conferences, 2018 Our original Orthonormal Polynomial Expansion Method (OPEM) in one-dimensional version is applied for first time to describe the silver nanoparticles (NPs) spectroscopic data. The weights for approximation include experimental errors in variables.
Bogdanova Nina, Koleva Mihaela
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Annales de Didactique et de Sciences Cognitives, 2018 The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
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Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
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