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Finding numerical approximations to minimax regret treatment rules is of key interest. To do so when potential outcomes are in {0,1} we discretize the action space of nature and apply a variant of Robinson's (1951) algorithm for iterative…

Econometrics · Economics 2025-03-17 Patrik Guggenberger , Jiaqi Huang

Error estimation of difference operators on irregular nodes is discussed. We can obtain the similar estimates of the errors. However, the error estimate for the difference operators for the second derivatives becomes lower because of…

Numerical Analysis · Mathematics 2017-07-04 Hiroshi Isshiki , Takafumi Kawamura , Daisuke Kitazawa

In this paper we introduce the data from mineral water probe with errors in both variables. For this case we apply our orthonormal polynomial expansion(OPEM) method to describe the data in the new error corridor. It receives the…

Computational Physics · Physics 2012-10-09 Nina Bogdanova , Stefan Todorov

A dominant approach to solving large imperfect-information games is Counterfactural Regret Minimization (CFR). In CFR, many regret minimization problems are combined to solve the game. For very large games, abstraction is typically needed…

Machine Learning · Computer Science 2019-12-02 Ryan D'Orazio , Dustin Morrill , James R. Wright

This paper is intended to help the readers to understand the article: Y. Hirashita, Least-Squares Prices of Games, Preprint (arXiv:math.OC/0703079).

Optimization and Control · Mathematics 2007-05-23 Yukio Hirashita

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

The Inverse Problem for the estimation of a point-wise approximation error occurring at the discretization and solving of the system of partial differential equations is addressed. The set of the differences between the numerical solutions…

Numerical Analysis · Mathematics 2021-01-05 Aleksey Alekseev , Alexander Bondarev

One aspect of Poisson approximation is that the support of the random variable of interest is often finite while the support of the Poisson distribution is not. In this paper we will remedy this by examining truncated negative binomial (of…

Probability · Mathematics 2017-05-02 H. L. Gan

We correct the proofs of the main theorems in our paper "Limit theorems for Betti numbers of random simplicial complexes".

Probability · Mathematics 2015-01-16 Matthew Kahle , Elizabeth Meckes

The paper elucidates, with an analytic example, a subtle mistake in the application of the extended likelihood method to the problem of determining the fractions of pure samples in a mixed sample from the shape of the distribution of a…

Data Analysis, Statistics and Probability · Physics 2010-11-11 A. Nappi

This document contains improved and updated proofs of convergence for the sampling method presented in our paper "Free-configuration Biased Sampling for Motion Planning".

Robotics · Computer Science 2013-11-05 Joshua Bialkowski , Michael Otte , Emilio Frazzoli

Merging asymptotic expansions of arbitrary length are established for the distribution functions and for the probabilities of suitably centered and normalized cumulative winnings in a full sequence of generalized St. Petersburg games,…

Probability · Mathematics 2009-10-26 Gyula Pap

We consider a randomized algorithm for the unique games problem, using independent multinomial probabilities to assign labels to the vertices of a graph. The expected value of the solution obtained by the algorithm is expressed as a…

Computational Complexity · Computer Science 2015-08-10 Rajeev Kohli , Ramesh Krishnamurti

We consider potential games with mixed-integer variables, for which we propose two distributed, proximal-like equilibrium seeking algorithms. Specifically, we focus on two scenarios: i) the underlying game is generalized ordinal and the…

Optimization and Control · Mathematics 2022-10-28 Filippo Fabiani , Barbara Franci , Simone Sagratella , Martin Schmidt , Mathias Staudigl

In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its applicability in improving the $P_1$-interpolation error…

Numerical Analysis · Mathematics 2023-10-31 Joel Chaskalovic , Franck Assous

Some errors contained in the author's previous article "An example of Bautin-type bifurcation in a delay differential equation", JMAA, 329(2007), 777-789, are listed and corrected. Original abstract: In a previous paper we gave sufficient…

Dynamical Systems · Mathematics 2014-03-12 Anca Veronica Ion

An important question in evolutionary computation is how good solutions evolutionary algorithms can produce. This paper aims to provide an analytic analysis of solution quality in terms of the relative approximation error, which is defined…

Neural and Evolutionary Computing · Computer Science 2016-11-28 Jun He

Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes'' [math.PR/0407059]

Probability · Mathematics 2007-05-23 P. E. Ney , Anand N. Vidyashankar

Unfortunately, the article "A Comparative Study to Benchmark Cross-project Defect Prediction Approaches" has a problem in the statistical analysis which was pointed out almost immediately after the pre-print of the article appeared online.…

Software Engineering · Computer Science 2017-07-31 Steffen Herbold , Alexander Trautsch , Jens Grabowski

Errors were discovered in our recent calculations of HeI emissivities (Porter et al. 2012; arXiv:1206.4115). This corrigendum discusses the errors and reports corrected emissivities.

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 R. L. Porter , G. J. Ferland , P. J. Storey , M. J. Detisch