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In this paper we consider Dynkin's games with payoffs which are functions of an underlying process. Assuming extended weak convergence of underlying processes $\{S^{(n)}\}_{n=0}^{\infty}$ to a limit process $S$ we prove convergence Dynkin's…

概率论 · 数学 2010-11-12 Yan Dolinsky

We investigate a two-player zero-sum stochastic differential game in which one of the players has more information on the game than his opponent. We show how to construct numerical schemes for the value function of this game, which is given…

计算机科学与博弈论 · 计算机科学 2011-11-18 Christine Grün

This paper examines the use of a residual bootstrap for bias correction in machine learning regression methods. Accounting for bias is an important obstacle in recent efforts to develop statistical inference for machine learning methods. We…

机器学习 · 统计学 2015-06-02 Giles Hooker , Lucas Mentch

For the pure biharmonic equation and a biharmonic singular perturbation problem, a residual-based error estimator is introduced which applies to many existing nonconforming finite elements. The error estimator involves the local…

数值分析 · 数学 2024-10-18 Dietmar Gallistl , Shudan Tian

The vertex cover problem is a famous combinatorial problem, and its complexity has been heavily studied. While a 2-approximation can be trivially obtained for it, researchers have not been able to approximate it better than 2-\textit{o}(1).…

计算复杂性 · 计算机科学 2025-03-04 Majid Zohrehbandian

In this paper we present a short and elementary proof for the error in Simpson's rule.

综合数学 · 数学 2017-08-28 Hajrudin Fejzic

In certain applications involving the solution of a Bayesian inverse problem, it may not be possible or desirable to evaluate the full posterior, e.g. due to the high computational cost of doing so. This problem motivates the use of…

统计理论 · 数学 2024-02-27 Han Cheng Lie , T. J. Sullivan , Aretha Teckentrup

The utility of capture-recapture methods is offset by strong underlying assumptions. In this paper we discuss a failure in the perfect linkage assumption in a special case of capture-recapture known as the dual system estimation. We propose…

统计方法学 · 统计学 2020-03-31 Viktor Račinskij

We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure…

多智能体系统 · 计算机科学 2026-02-24 Philipp Lakheshar , Sharwin Rezagholi

The paper is concerned with the Barenblatt-Biott model in the theory of poroelasticity. We derive a guaranteed estimate of the difference between exact and approximate solutions expressed in a combined norm that encompasses errors for the…

数值分析 · 数学 2010-03-30 J. M. Nordbotten , T. Rahman , S. I. Repin , J. Valdman

We obtain simple proofs of certain inequalites for bivariate means.

经典分析与常微分方程 · 数学 2011-05-04 Jozsef Sandor

This paper is devoted to present two counterexamples to the theorem from \cite{MK} Maria R., Katherine T. M., Bernardo S. M., Extremal graphs with bounded vertex bipartiteness number, Linear Algebra Appl. 493 (2016) 28-36. Moreover, the…

组合数学 · 数学 2017-04-11 Jia-Bao Liu , Shaohui Wang

This note corrects a technical error in the ACM Computing Surveys paper mentioned in the title. The flaw involved constructions for showing that timed automata with urgent locations have the same expressiveness as timed automata that allow…

形式语言与自动机理论 · 计算机科学 2025-08-08 Jeroen J. A. Keiren , Peter Fontana , Rance Cleaveland

In the paper, some lower bounds for polygamma functions are refined.

经典分析与常微分方程 · 数学 2013-01-29 Feng Qi , Bai-Ni Guo

In this paper we use Bernstein and Chebyshev polynomials to approximate the price of some basket options under a bivariate Black-Scholes model. The method consists in expanding the price of a univariate related contract after conditioning…

证券定价 · 定量金融 2014-04-14 Pablo Olivares

A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

泛函分析 · 数学 2012-04-10 C. E. Chidume , E. U. Ofoedu

In this paper, we study games with continuous action spaces and non-linear payoff functions. Our key insight is that Lipschitz continuity of the payoff function allows us to provide algorithms for finding approximate equilibria in these…

计算机科学与博弈论 · 计算机科学 2016-03-31 Argyrios Deligkas , John Fearnley , Paul Spirakis

This paper deals with the application of Approximation Theory type techniques to study a classical problem in Probability: estimating the parameter of a biased coin. For this purpose, a Minimax Estimation problem is considered and the…

概率论 · 数学 2018-02-15 D. Benko , D. Coroian , P. D. Dragnev , R. Orive

In the empirical study of evolutionary algorithms, the solution quality is evaluated by either the fitness value or approximation error. The latter measures the fitness difference between an approximation solution and the optimal solution.…

神经与进化计算 · 计算机科学 2018-10-30 Jun He , Yu Chen , Yuren Zhou

Discussion of ``One-step sparse estimates in nonconcave penalized likelihood models'' [arXiv:0808.1012]

统计理论 · 数学 2008-08-08 Cun-Hui Zhang