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Using Logistic Regression to Analyze the Balance of a Game: The Case of StarCraft II
Balance of a Game Logistic Regression StarCraft II
2011/6/16
Recently, the market size of online game has been increasing astonishingly fast, and so does the
importance of good game design. In online games, usually a human user competes with others,
so the fa...
Complexity of Unconstrained L_2-L_p Minimization
Nonsmooth optimization nonconvex optimization variable selection sparse solution reconstruction bridge estimator
2011/6/21
We consider the unconstrained L2-Lp minimization: find a minimizer of kAx−bk2
2+λkxkp
p
for given A ∈ Rm×n, b ∈ Rm and parameters λ > 0, p ∈ [0, 1). This problem has been
studied extensively...
A convex model for non-negative matrix factorization and dimensionality reduction on physical space
Non-negative matrix factorization dictionary learning subset selection dimensionality reduction hyperspec-tral endmember detection blind source separation
2011/3/18
A collaborative convex framework for factoring a data matrix $X$ into a non-negative product $AS$, with a sparse coefficient matrix $S$, is proposed. We restrict the columns of the dictionary matrix $...
Uncertainty quantification and weak approximation of an elliptic inverse problem
Uncertainty quantification weak approximation elliptic inverse problem
2011/3/18
We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a lin...
Nonparametric estimation of the local Hurst function of multifractional processes
Nonparametric estimators Hurst function tangent process
2010/10/19
Consistency, almost sure convergence and central limit theorems are provided for two nonparametric estimators of the local Hurst function of Gaussian multifractional processes. In the case of multifr...
A unified framework for high-dimensional analysis of $M$-estimators with decomposable regularizers
unified framework high-dimensional analysis $M$-estimators decomposable regularizers
2010/10/19
High-dimensional statistical inference deals with models in which the the number of parameters $p$ is comparable to or larger than the sample size $n$. Since it is usually impossible to obtain consist...
A new method for obtaining sharp compound Poisson approximation error estimates for sums of locally dependent random variables
compound Poisson approximation coupling inequality law of small numbers
2010/10/19
Let $X_1,X_2,...,X_n$ be a sequence of independent or locally dependent random variables taking values in $\mathbb{Z}_+$. In this paper, we derive sharp bounds, via a new probabilistic method, for the...
Adaptive estimator of the memory parameter and goodness-of-fit test using a multidimensional increment ratio statistic
Long-memory Gaussian processes goodness-of-fit test estimation of the memory parameter
2010/10/14
The Increment Ratio (IR) statistic was first defined and studied in Surgailis {\it et al.} (2008) for estimating the long-memory parameter either of a stationary or an increment stationary Gaussian p...
Estimation in additive models with highly or nonhighly correlated covariates
Additive model backfitting local linear smoothing normalizatio
2010/10/14
Motivated by normalizing DNA microarray data and by predicting the interest rates, we explore nonparametric estimation of additive models with highly correlated covariates. We introduce two novel appr...
Adjusted empirical likelihood with high-order precision
Bartlett correction confidence region Edgeworth expansion
2010/10/14
Empirical likelihood is a popular nonparametric or semi-parametric statistical method with many nice statistical properties. Yet when the sample size is small, or the dimension of the accompanying est...
Likelihood Inference for Models with Unobservables: Another View
Hierarchical generalized linear model unobservables random effects likelihood
2010/10/14
There have been controversies among statisticians on (i) what to model and (ii) how to make inferences from models with unobservables. One such controversy concerns the difference between estimation ...
充分发挥统计年鉴的重要作用
统计年鉴 文献
2009/9/7
《统计年鉴》是政府统计部门主要生产产品之一，是有序的、系统的、重要的统计信息载体，是系统汇辑政府统计信息的重要文献，是逐年编纂连续出版的资料性工具书，具有“存史、资政、育人”的社会功能和资政、资经、资商重要作用，倍受各级党政领导的高度重视和社会的广泛关注。
测度地区差距最适宜的统计指标
测度地区 差距最适宜 统计指标
2009/6/29
近年来国内外学者分别从不同的角度， 运用不同的方法， 对我国地区经济差距的现状及其历史变化轨迹作了广泛的实证研究。这些实证研究大大地丰富和加深了人们对于我国地区经济差距的认识。然而，这些实证研究也给人们带来了新的困惑，因为他们的分析结论并不完全一致， 有的甚至大相径庭。那么， 我国的地区经济差距到底严重不严重?他们的分歧又是怎么产生的呢?据笔者考证， 他们的分析结论之所以不一致，一个关键的原因乃在...
Hölderian invariance principle for linear processes
invariance principle linear processes short memory long memory Wiener measure
2009/6/15
Hölderian invariance principle for linear processes.
Functional moderate deviations for triangular arrays and applications
triangular arrays independent random variables strong mixing moderate deviations invariance principle.
2009/6/15
Motivated by the study of dependent random variables by coupling with independent blocks of variables,we obtain first sufficient conditions for the moderate deviation principle in its functional form ...