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A Globally Convergent Inertial First-Order Optimization Method for Multidimensional Scaling
Multidimensional scaling (MDS) is a popular tool for dimensionality reduction and data visualization. Given distances between data points and a...
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Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization
This paper is concerned with an optimization problem which is governed by the Kantorovich problem of optimal transport. More precisely, we consider a...
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Second order necessary condition for a strong minimum in the classical problem of calculus of variations
The paper offers a second order necessary condition for a strong minimum in the standard problem of calculus of variations. No idea of such a result...
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Positive definiteness of Hadamard exponentials and Hadamard inverses
Let A be a positive semidefinite matrix. It is known that the Hadamard exponential of A is positive semidefinite; it is positive definite if and only...
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A strong form of the quantitative Wulff inequality for crystalline norms
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding...
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Weighted composition operators on variable exponent Lebesgue spaces
In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable...
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Pricing of shout option in uncertain financial market
The shout option allows the investors to make "shouts" to the seller throughout the option’s duration. The investors’ payoff is higher between the...
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Envelopes in Banach spaces
We introduce the notion of isometric envelope of a subspace in a Banach space, establishing its connections with several key elements: (a) we explore...
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Clark Measures on Bounded Symmetric Domains
Given a bounded symmetric domain D , we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark...
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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin...