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Convergence: An Experimental Study of Teaching and Learning in Repeated Games
Repeated Games Nash equilibrium
2015/9/23
Nash equilibrium can be interpreted as a steady state where players hold correct beliefs about the
other players’ behavior and act rationally. We experimentally examine the process that leads to this...
Distributed Power Control for Time-Varying Wireless Networks: Optimality and Convergence
Distributed Power Control Time-Varying Wireless Networks Optimality Convergence
2015/7/8
This paper presents a new distributed power control algorithm for ad-hoc wire- less networks in random channel environments. Previous work in this area has focused on distributed power control for ad-...
On Convergence to Stationarity of Fractional Brownian Storage
Convergence to stationarity fractional Brownian motion storage process large deviations.
2015/7/6
With M(t):= sup0≤s≤t A(s)−s denoting the running maximum of a fractional Brownian motion A(·) with negative drift, this paper studies the rate of convergence of P(M(t)>x) to P(M>x). We define tw...
A New Proof of Convergence of MCMC via the Ergodic Theorem
Markov chain Monte Carlo Harris recurrence η-irreducibility
2015/7/6
A key result underlying the theory of MCMC is that any η-irreducible Markov chain having a transition density with respect to η and possessing a stationary distribution is automatically positive Harri...
On the Convergence of Finite Order Approximations of Stationary Time Series
Wide sense stationary time series autoregressive estimate moving average estimate
2015/7/6
The approximation of a stationary time-series by finite order autoregressive (AR) and moving averages (MA) is a problem that occurs in many applications. In this paper we study asymptotic behavior of ...
Unbiased Estimation with Square Root Convergence for SDE Models
Unbiased Estimation Square Root Convergence SDE Models
2015/7/6
In many settings in which Monte Carlo methods are applied, there may be no known algorithm for exactly generating the random object for which an expectation is to be computed. Frequently, however, one...
Convergence in Environmental Reporting: Assessing the Carbon Disclosure Project
Information Disclosure Voluntary Environmental Programs Environmental Reporting Transparency Corporate Sustainability Convergence
2014/11/27
We perform content analysis on Carbon Disclosure Project (CDP) responses from 2003 to 2010, focusing on the extent to which firms account for indirect emissions and have exhibited convergence in carbo...
Optimal Rates of Convergence of Transelliptical Component Analysis
Transelliptical component analysis Optimal rates of convergence Double asymptotics Minimax lower bound Elliptical copula
2013/6/14
Han and Liu (2012) proposed a method named transelliptical component analysis (TCA) for conducting scale-invariant principal component analysis on high dimensional data with transelliptical distributi...
When uniform weak convergence fails: empirical processes for dependence functions via epi- and hypographs
bootstrap copula epigraph hypograph stable tail dependence function minimum distance estimation weak convergence
2013/6/14
For copulas whose partial derivatives are not continuous everywhere on the interior of the unit cube, the empirical copula process does not converge weakly with respect to the supremum distance. This ...
Optimal rates of convergence for persistence diagrams in Topological Data Analysis
Optimal rates convergence persistence diagrams Topological Data Analysis
2013/6/14
Computational topology has recently known an important development toward data analysis, giving birth to the field of topological data analysis. Topological persistence, or persistent homology, appear...
On the Convergence and Consistency of the Blurring Mean-Shift Process
Mean-shift Convergence Consistency Clustering,γ-divergence Super robustness
2013/6/13
The mean-shift algorithm is a popular algorithm in computer vision and image processing. It can also be cast as a minimum gamma-divergence estimation. In this paper we focus on the "blurring" mean shi...
Convergence rate of Markov chain methods for genomic motif discovery
Gibbs sampler DNA slow mixing spectral gap multimodal
2013/4/27
We analyze the convergence rate of a simplified version of a popular Gibbs sampling method used for statistical discovery of gene regulatory binding motifs in DNA sequences. This sampler satisfies a v...
The Convergence Rate of Majority Vote under Exchangeability
Convergence Rate Majority Vote Exchangeability
2013/4/28
Majority vote plays a fundamental role in many applications of statistics, such as ensemble classifiers, crowdsourcing, and elections. When using majority vote as a prediction rule, it is of basic int...
On the convergence of the IRLS algorithm in Non-Local Patch Regression
Non-local means non-local patch regression,ℓ p minimization non-convex optimization iteratively reweighted least-squares majorize-minimize stationary point relaxation sequence linear convergence
2013/4/28
Recently, it was demonstrated in [CS2012,CS2013] that the robustness of the classical Non-Local Means (NLM) algorithm [BCM2005] can be improved by incorporating $\ell^p (0 < p \leq 2)$ regression into...
Convergence and asymptotic normality of variational Bayesian approximations for exponential family models with missing values
Convergence asymptotic normality variational Bayesian approximations exponential family models missing values
2012/9/19
We study the properties of variational Bayes approximations for exponential family mod-els with missing values. It is shown that the iterative algorithm for obtaining the varia-tional Bayesian estimat...