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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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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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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...
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BV estimates on the transport density with Dirichlet region on the boundary
In this paper, we prove BV regularity on the transport density in the mass transport problem to the boundary in two dimensions under certain...
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Structural iterative rounding for generalized k-median problems
This paper considers approximation algorithms for generalized k -median problems. These problems can be informally described as k -median with a...
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An Inertial Iterative Regularization Method for a Class of Variational Inequalities
In this paper, we study a class of variational inequality problems the constraint set of which is the set of common solutions of a finite family of...
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Boundary Stabilization for a Heat-Kelvin-Voigt Unstable Interaction Model, with Control and Partial Observation Localized at the Interface Only
A prototype model for a Fluid–Structure interaction is considered. We aim to stabilize [enhance stability of] the model by having access only to a...
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On circuit diameter bounds via circuit imbalances
We study the circuit diameter of polyhedra, introduced by Borgwardt, Finhold, and Hemmecke (SIAM J. Discrete Math. 29 (1), 113–121 (2015)) as a...
