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Online Learning in a Contract Selection Problem
Online Learning Contract Selection Problem
2013/6/14
In an online contract selection problem there is a seller which offers a set of contracts to sequentially arriving buyers whose types are drawn from an unknown distribution. If there exists a profitab...
Higher Variations of the Monty Hall Problem (3.0 and 4.0) and Empirical Definition of the Phenomenon of Mathematics, in Boole's Footsteps, as Something the Brain Does
Artificial Intelligence Binary Structure Boolean Algebra Boolean Operators Boole’s Algebra Brain Science, Cognition Cognitive Science Definition of Mathematics Definition of Probability Theory Digital Mathematics Electrical Engineering, Foundations of Mathematics Human Intelligence, Linguistics, Logic, Monty Hall Problem, Neuroscience Non-quantitative and Quantitative Mathematics Probability Theory Rational Thought and Language
2012/9/17
In Advances in Pure Mathematics (www.scirp.org/journal/apm) , Vol. 1, No. 4 (July 2011), pp.
136-154, the mathematical structure of the much discussed problem of probability known as the Monty Ha...
On characteristics of an ordinary differential equation and a related inverse problem in epidemiology
Chronic disease Compartment model Incidence Mortality Prevalence Population
2012/9/18
In this work we examine the properties of a recently described ordinary differential equation that relates the age-specific prevalence of achronic dis-ease with the incidence and mortalities of the di...
Inverse Modeling of Dynamical Systems: Multi-Dimensional Extensions of a Stochastic Switching Problem
Inverse Modeling of Dynamical Systems Multi-Dimensional Extensions Stochastic Switching Problem
2012/9/18
The Buridan's ass paradox is characterized by perpetual indecision between two states, which are never attained. When this problem is formulated as a dynamical
system, indecision is modeled by a disc...
A simple and numerical stable algorithm for solving the cone projection problem based on a Gram-Schmidt process
cone projection algorithm convexity constraints convexity test simulations Gram-Schmidt
2012/9/19
We are presenting a simple and numerical stable algorithm for the solution of the cone projection problem which is suitable for relative small data sets and for simulation purposes needed for con-vexi...
Quasi-estimation as a Basis for Two-stage Solving of Regression Problem
Gauss-Markov’s scheme least squares method quasi-estimator
2010/10/19
An effective two-stage method for an estimation of parameters of the linear regression is considered. For this purpose we introduce a certain quasi-estimator that, in contrast to usual estimator, pro...
Nonparametric deconvolution problem for dependent sequences
long range dependence linear processes error-in-variables models deconvolution
2009/9/16
We consider the nonparametric estimation of the density function of weakly and strongly dependent processes with noisy observations. We show that in the ordinary smooth case the optimal bandwidth choi...