Results 41 to 50 of about 86,877,734 (157)
We present a unified study of first and second order necessary and sufficient optimality conditions for minimax and Chebyshev optimisation problems with cone constraints. First order optimality conditions for such problems can be formulated in several different forms: in terms of a linearised problem, in terms of Lagrange multipliers (KKT-points), in ...
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Matchings: Source, goal, and faithful companion
Abstract Matchings were among the earliest motivations for graph theory. They subsequently remained a central goal, inspiring the development of new mathematical tools that went well beyond problems directly concerning matchings. These tools proved widely applicable, accompanying the growth of graph theory over the past century.
András Sebő
wiley +1 more source
In this paper, we consider a class of nonsmooth minimax programming problems in which functions are locally Lipschitz. Sucient optimality conditions are discussed under locally Lipschitz generalized (?,?)-invex functions. Moreover, usual duality results are proved under the said assumptions.
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Playing in the Dark: Invisible Chess as a Laboratory for Strategic AI
This paper shows that strategic AI evaluated on perfect‐information benchmarks can be brittle in real adversarial settings. By using invisible chess as a benchmark for hidden state and deception, it argues for stricter testing, human oversight, and more cautious governance of high‐stakes AI systems.
Paolo Ciancarini
wiley +1 more source
Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
wiley +1 more source
Minimax optimal control problem with state constraints
In this article, nondegenerate necessary conditions of optimality are derived and discussed for the so-called “minimax” optimal control problems with state constraints. In this class of problems, the data depends on an unknown parameter that takes values
Silva G. +9 more
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Minimax Control of Constrained Parabolic Systems [PDF]
In this paper we formulate and study a minimax control problem for a class of parabolic systems with controlled Dirichlet boundary conditions and uncertain distributed perturbations under pointwise control and state constraints.
Mordukhovich, B.S., Zhang, K.
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Optimality Conditions and Numerical Algorithms for a Class of Minimax Bilevel Optimization Problems
In many applications, including Stackelberg games, machine learning, and power systems \cite{Mackay2018Selftuning,Heinrich1952The,Wang2021Bi-Level}, the decisions in a minimax optimization problem can be constrained by a solution to an optimization problem.
Hu, Yaling +3 more
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A conversation with James V. Zidek
Abstract This article documents a series of exchanges between the authors and the senior Canadian statistician Jim Zidek in early 2026. The interview traces his life trajectory, surveying his principal contributions to statistics while offering insights into his motivations, successes, and challenges.
Christian Genest, Nancy E. Heckman
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Robust optimization of catheter positions and dwell times for HDR prostate brachytherapy
Abstract Background HDR prostate brachytherapy plans are sensitive to catheter placement uncertainty, as discrepancies between planned and delivered catheter positions can degrade target coverage and increase organ at risk dose. Current inverse planning methods optimize dwell times for a fixed implant geometry and do not account for geometric ...
Joseph B. Schulz +3 more
wiley +1 more source

