Results 11 to 20 of about 171 (130)
Optimal mass transport and functional inequalities [PDF]
, 2017 We formulate the optimal transportation problem, first with Monge's original question and then with Kantorovich's approach. We state Brenier's theorem and qe define fully-nonlinear Monge-Ampère type of partial differential equations.
Pascual Miranda, Núria
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On the Kantorovich–Rubinstein theorem
Expositiones Mathematicae, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kantorovich's Theorem on Newton's Method
, 2012 In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.
Ferreira, O. P., Svaiter, B. F.
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Dynamical Systems and Hamilton–Jacobi–Bellman Equations on the Wasserstein Space and their L2 Representations [PDF]
, 2023 Several optimal control problems in \BbbR d, like systems with uncertainty, control of flock dynamics, or control of multiagent systems, can be naturally formulated in the space of probability measures in \BbbR d . This leads to the study of dynamics and
Antonio Marigonda +2 more
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Expanding Kantorovich’s theorem for solving generalized equations
, 2017 In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x) + Q(x) ϶ 0, (22.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ⟨., .⟩ and corresponding norm ||.||, D ⊆ H an open set and T : H ⇉ H is set-valued and maximal monotone.
Argyros, Ioannis K +1 more
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Kantorovich's Theorem on Newton's Method in Riemannian Manifolds
Journal of Complexity, 2002 This paper is concerned with the problem of finding a singularity of a vector field in a Riemannian manifold. The authors present an extension of Kantorovich's theorem on Newton's method for this problem in finite dimensional Riemannian manifolds.
Ferreira, O.P., Svaiter, B.F.
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
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Optimal transport with Coulomb cost. Approximation and duality [PDF]
, 2015 We revisit the duality theorem for multimarginal optimal transportation problems. In particular, we focus on the Coulomb cost. We use a discrete approximation to prove equality of the extremal values and some careful estimates of the approximating ...
De Pascale, Luigi
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The Journal of Creative Behavior, Volume 60, Issue 1, March 2026.ABSTRACT The Wallas four‐stages and Campbell's two‐stage Blind‐Variation and Selective‐Retention (BVSR) represent two classic stage conceptions of creative thought. However, these two stage conceptions can be integrated by taking advantage of a quantitative definition of personal creativity, which is taken as the multiplicative product of originality ...
Dean Keith Simonton
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Geophysical Research Letters, Volume 53, Issue 4, 28 February 2026.Abstract The probability density function of drops is difficult to model. Current approaches make assumptions that are often problematic, as they allow negative values for the mean of the distribution. While the statistical goodness of fit of those models might be reasonable for precipitation radar estimation, the situation is unsatisfactory if a fully
Francisco J. Tapiador +9 more
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