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

Statistics Theory · Mathematics 2008-08-08 Peter Bühlmann , Lukas Meier

The paper introduces and studies hedging for game (Israeli) style extension of swing options considered as multiple exercise derivatives. Assuming that the underlying security can be traded without restrictions we derive a formula for…

Pricing of Securities · Quantitative Finance 2013-02-21 Y. Dolinsky , Y. Iron , Y. Kifer

We consider the constructive a priori error estimates for a full discrete numerical solution of the heat equation with time-periodic condition.

Numerical Analysis · Mathematics 2019-10-14 Takuma Kimura , Teruya Minamoto , Mitsuhiro T. Nakao

We introduce the category of optiongraphs and option-preserving maps as a model to study impartial combinatorial games. Outcomes, remoteness, and extended nim-values are preserved under option-preserving maps. We show that the four…

Combinatorics · Mathematics 2025-10-23 Mikhail Baltushkin , Dana C. Ernst , Nándor Sieben

When globally optimal solutions of complicated optimization problems cannot be located by evolutionary algorithms (EAs) in polynomial expected running time, the hitting time/running time analysis is not flexible enough to accommodate the…

Neural and Evolutionary Computing · Computer Science 2020-12-01 Cong Wang , Yu Chen , Jun He , Chengwang Xie

We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations of fixed dimension and derive analytical bounds on the convergence speed of the hierarchy. In particular, we give a…

Quantum Physics · Physics 2021-07-05 Hyejung H. Jee , Carlo Sparaciari , Omar Fawzi , Mario Berta

Convergence of the policy iteration method for discrete and continuous optimal control problems holds under general assumptions. Moreover, in some circumstances, it is also possible to show a quadratic rate of convergence for the algorithm.…

Optimization and Control · Mathematics 2022-03-02 Fabio Camilli , Qing Tang

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

Erratum to "From Uncertainty Principles to Wegner Estimates".

Mathematical Physics · Physics 2015-06-11 Peter Stollmann

The minmax regret problem for combinatorial optimization under uncertainty can be viewed as a zero-sum game played between an optimizing player and an adversary, where the optimizing player selects a solution and the adversary selects costs…

Discrete Mathematics · Computer Science 2014-09-23 Andrew Mastin , Patrick Jaillet , Sang Chin

We consider the problem of approximation of density functions which is important in the theory of pricing of basket options. Our method is well adopted to the multidimensional case. Observe that implementations of polynomial and spline…

Statistics Theory · Mathematics 2014-04-08 Alexander Kushpel

Population games model the evolution of strategic interactions among a large number of uniform agents. Due to the agents' uniformity and quantity, their aggregate strategic choices can be approximated by the solutions of a class of ordinary…

Computer Science and Game Theory · Computer Science 2023-12-14 Semih Kara , Nuno C. Martins

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

This article presents fast lower and upper estimates for a large class of options: the class of constrained multiple exercise American options. Typical options in this class are swing options with volume and timing constraints, and passport…

Computational Finance · Quantitative Finance 2020-02-27 Nicolas Essis-Breton , Patrice Gaillardetz

Scientists continue to develop increasingly complex mechanistic models to reflect their knowledge more realistically. Statistical inference using these models can be challenging since the corresponding likelihood function is often…

Computation · Statistics 2026-01-07 Joshua J Bon , David J Warne , David J Nott , Christopher Drovandi

Rejoinder to ``Boosting Algorithms: Regularization, Prediction and Model Fitting'' [arXiv:0804.2752]

Methodology · Statistics 2008-12-18 Peter Bühlmann , Torsten Hothorn

We prove a discrepancy estimate related to the sequence of fractional parts of $b^n/n$. This improves an earlier result of Cilleruelo et al.

Number Theory · Mathematics 2023-09-28 Martin Lind

We propose the first loss function for approximate Nash equilibria of normal-form games that is amenable to unbiased Monte Carlo estimation. This construction allows us to deploy standard non-convex stochastic optimization techniques for…

Computer Science and Game Theory · Computer Science 2024-04-16 Ian Gemp , Luke Marris , Georgios Piliouras

The formulas in the above Erratum are corrected.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo

In the field of Artificial Intelligence, traditional approaches to choosing moves in games involve the we of the minimax algorithm. However, recent research results indicate that minimizing may not always be the best approach. In this paper…

Artificial Intelligence · Computer Science 2013-04-15 Dana Nau , Paul Purdom , Chun-Hung Tzeng