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Faster sequential universal coding via block partitioning

机译:通过块划分更快地进行顺序通用编码

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摘要

Rissanen provided a sequential universal coding algorithm based on a block partitioning scheme, where the source model is estimated at the beginning of each block. This approach asymptotically approaches the entropy at the fastest possible rate of 1/2log(n) bits per unknown parameter. We show that the complexity of this algorithm is /spl Omega/(nlog(n)), which is comparable to existing sequential universal algorithms. We provide a sequential O(nlog(log(n))) algorithm by modifying Rissanen's block partitioning scheme. The redundancy with our approach is greater than with Rissanen's block partitioning scheme by a multiplicative factor 1+O(1/log(log(n))), hence it asymptotically approaches the entropy at the fastest possible rate.
机译:Rissanen提供了一种基于块划分方案的顺序通用编码算法,其中在每个块的开头估计源模型。该方法以每个未知参数最快的1 / 2log(n)位的可能速率渐近地接近熵。我们证明此算法的复杂度为/ spl Omega /(nlog(n)),与现有的顺序通用算法相当。通过修改Rissanen的块分区方案,我们提供了顺序O(nlog(log(n)))算法。我们的方法的冗余度比Rissanen的块分区方案大1倍乘以1 + O(1 / log(log(n))),因此它以最快的速率渐近地接近熵。

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