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  1. 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...

    Article Open access 14 July 2024
  2. 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...

    Sebastian Hillbrecht, Paul Manns, Christian Meyer in Applied Mathematics & Optimization
    Article Open access 14 July 2024
  3. Rational fibered cubic fourfolds

    Hanine Awada in manuscripta mathematica
    Article 14 July 2024
  4. 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...

    Article Open access 13 July 2024
  5. 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...

    Takashi Sano in Positivity
    Article 13 July 2024
  6. 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...

    Article 13 July 2024
  7. 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...

    Gopal Datt, Daljeet Singh Bajaj, Alberto Fiorenza in Advances in Operator Theory
    Article 13 July 2024
  8. 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...

    Haoxuan Li, **angfeng Yang, Yaodong Ni in Fuzzy Optimization and Decision Making
    Article 12 July 2024
  9. 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...

    V. Ferenczi, J. Lopez-Abad in Banach Journal of Mathematical Analysis
    Article Open access 12 July 2024
  10. 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...

    Article Open access 11 July 2024
  11. 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...

    Hiroyuki Hirayama, Masahiro Ikeda in Calculus of Variations and Partial Differential Equations
    Article Open access 10 July 2024
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