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Position Preserving Multi-Output Prediction [PDF]
, 2013 There is a growing demand for multiple output prediction methods capable of both minimizing residual errors and capturing the joint distribution of the response variables in a realistic and consistent fashion. Unfortunately, current methods are designed to optimize one of the two criteria, but not both.
Zubin Abraham +5 more
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Bases for shape preserving curves
Journal of Numerical Analysis and Approximation Theory, 2003 The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the function basis we use in its representation. Both sign consistent and totally positive bases have shape preserving properties useful in Computer Aided ...
Francesca Pitolli
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Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Advances in Nonlinear Analysis, 2020 This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph +2 more
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Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics
Results in Physics, 2021 In this article, an implicit numerical design is formulated for finding the numerical solution of spatiotemporal nonlinear dynamical system with advection. Such type of problems arise in many fields of life sciences, mathematics, physics and engineering.
Shumaila Azam +6 more
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Journal of Advanced Transportation, 2023 The macroscopic models for solving the pedestrian flow problem can be generally classified into two categories as follows: first-order continuum models and high-order continuum models.
L. Yang, H. Liang, J. Du, S. C. Wong
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Mathematics, 2022 In this paper, we evaluate and discuss different numerical methods to solve the Black–Scholes equation, including the θ-method, the mixed method, the Richardson method, the Du Fort and Frankel method, and the MADE (modified alternating directional ...
Mohammad Mehdizadeh Khalsaraei +4 more
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Positivity preserving transformations for 𝑞-binomial coefficients [PDF]
Transactions of the American Mathematical Society, 2004 Several new transformations for q q -binomial coefficients are found, which have the special feature that the kernel is a ...
Berkovich, A., Warnaar, S. O.
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Total Positivity and Convexity Preservation
Journal of Approximation Theory, 1999 In this paper the author introduces a concept of \(d\)-convexity of curves in the \(d\)-dimensional space and characterizes totally positive blending systems in terms of \(d\)-convexity. He shows that for certain systems total positivity and rational convexity preservation are equivalent.
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Matrix positivity preservers in fixed dimension. I [PDF]
Advances in Mathematics, 2016 A classical theorem of I.J. Schoenberg characterizes functions that preserve positivity when applied entrywise to positive semidefinite matrices of arbitrary size. Obtaining similar characterizations in fixed dimension is intricate. In this note, we provide a solution to this problem in the polynomial case.
Alexander Belton +3 more
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, 2017 This paper is being completely rewritten, with the focus now on kernels on arbitrary domains, and the ensuing analysis. This includes Polya frequency functions/sequences, Hankel and other Toeplitz kernels, and the study of their ...
Belton, Alexander +3 more
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