CB-TFA到RVM的大规模问题

Gang Li, Shu-Bao Xing, Hui-feng Xue
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引用次数: 0

摘要

RVM使稀疏分类和回归函数能够通过从潜在候选的大字典中对少量固定基函数进行线性加权来获得。RVM上的TOA具有O(M3)的时间复杂度和O(M2)的空间复杂度,其中M为训练集大小。因此,在非常大的数据集上,它在计算上是不可行的。TFA是为了克服这一问题而提出的,但对于大规模的问题并不完善。我们在TFA的基础上提出了CB-TFA。CB-TFA将大数据集分解为数据块,以TFA为基础算法,通过链式迭代得到解,进一步降低了时间复杂度,同时保持了较高的精度和稀疏性。综合大型基准数据集的回归实验表明,CB-TFA产生了最先进的性能。
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CB-TFA to RVM on Large Scale Problems
RVM enables sparse classification and regression functions to be obtained by linearly-weighting a small number of fixed basis functions from a large dictionary of potential candidates. TOA on RVM has O(M3) time and O(M2) space complexity, where M is the training set size. It is thus computationally infeasible on very large data sets. TFA was put forward to overcome this problem ,but it is not perfect to large scale problems. We propose CB-TFA based on TFA. CB-TFA decompose large datasets to data blocks, get the solution by chain iteration, taking TFA as basis algorithm, reduce the time complexity further more while keeping high accuracy and sparsity simultaneously. Regression experiments with synthetical large benchmark data set demonstrates CB-TFA yields state-of-the-art performance.
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