Incremental Feature Selection and l1 Regularization for Relaxed Maximum-Entropy Modeling

Incremental Feature Selection and l1 Regularization for Relaxed Maximum-Entropy Modeling
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松弛最大熵建模的增量特征选择和 l1 正则化

DOI:
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发表时间:
2004
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通讯作者:
A. Vasserman
A. Vasserman
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文献类型:
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作者:
S. Riezler;A. Vasserman

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对于对数线性模型的似然最大化,我们提出了一种有界约束松弛的方法,该方法对应于在似然最大化中使用双指数先验或`1正则化。Perkins等人提出了一种增量特征选择和正则化相结合的方法,通过将正则化方法自然地结合到基于梯度的特征选择中,可以建立用于最大熵建模的增量特征选择方法。(2003)。这为全特征集上的标准正则化提供了一种有效的替代方案,并为基于似然的特征选择中使用的阈值技术提供了数学上的合理性。此外,我们还对具有中等冗余度的语言特征集的n-Best特征选择进行了扩展,并给出了实验结果,实验结果表明,对于最大熵分析任务,该方法优于`0,1-Best`1,`2正则化和标准增量特征选择。1
We present an approach to bounded constraintrelaxation for entropy maximization that corresponds to using a double-exponential prior or `1 regularizer in likelihood maximization for log-linear models. We show that a combined incremental feature selection and regularization method can be established for maximum entropy modeling by a natural incorporation of the regularizer into gradientbased feature selection, following Perkins et al. (2003). This provides an efficient alternative to standard `1 regularization on the full feature set, and a mathematical justification for thresholding techniques used in likelihood-based feature selection. Also, we motivate an extension to n-best feature selection for linguistic features sets with moderate redundancy, and present experimental results showing its advantage over `0, 1-best `1, `2 regularization and over standard incremental feature selection for the task of maximum-entropy parsing.1