倒排索引的一些算法調研

下面的文章專門針對搜索引擎裏的倒排列表 sorted sets研究交集算法，思路相似快排，很是值得一看

www.cs.ucr.edu/~stelo/cpm/cpm04/25_Baeza-yates.pdf

 

合併sorted sequence算法：

https://github.com/rklaehn/rklaehn.github.io/blob/master/_posts/2016-01-05-binarymerge.md

 

彙總資料：https://github.com/TechConf/CodeMash2016/blob/master/Great%20Galloping%20Cuckoos-%20Algorithms%20Faster%20than%20log(n)/index.html

關鍵信息：

	## Comparisons of Set Intersections
	<small>Excerpted from [Faster Adaptive Set Intersections for Text Searching](http://www.cs.toronto.edu/~tl/papers/wea06.pdf)</small>
	Algorithm | # of comparisons
	-----------|----------------:
	Sequential | 119479075
	Adaptive | 83326341
	Small Adaptive | 68706234
	Interpolation Sequential | 55275738
	Interpolation Adaptive | 58558408
	</markdeep></section><section><markdeep>
	## Comparisons of Set Intersections
	<small>Excerpted from [Faster Adaptive Set Intersections for Text Searching](http://www.cs.toronto.edu/~tl/papers/wea06.pdf)</small>
	Algorithm | # of comparisons
	-----------|----------------:
	Sequential | 119479075
	Interpolation Small Adaptive | 44525318
	Extrapolation Small Adaptive | 50018852
	Extrapolate Many Small Adaptive | 44087712
	Extrapolate Ahead Small Adaptive | 43930174

 

## Resources: Sets
	- [A Fast Set Intersection Algorithm for Sorted Sequences](http://www.cs.ucr.edu/~stelo/cpm/cpm04/25_Baeza-yates.pdf)
	- [Experimental Analysis of a Fast Intersection Algorithm for Sorted Sequences](https://cs.uwaterloo.ca/~ajsaling/papers/paper-spire.pdf)
	- [Experimental Comparison of Set Intersection Algorithms for Inverted Indexing](http://ceur-ws.org/Vol-1003/58.pdf)
	- [Fast Set Intersection in Memory](http://research.microsoft.com/pubs/142850/p255-dingkoenig.pdf)
	- [Faster Adaptive Set Intersections for Text Searching](http://www.cs.toronto.edu/~tl/papers/wea06.pdf)
	- [Faster Set Intersection with SIMD instructions by Reducing Branch Mispredictions](http://www.vldb.org/pvldb/vol8/p293-inoue.pdf)
	- [SIMD Compression and the Intersection of Sorted Integers](http://arxiv.org/abs/1401.6399)

 

https://github.com/lemire/SIMDCompressionAndIntersection 

A C++ library to compress and intersect sorted lists of integers using SIMD instructions

裏面說起的一些資料：

Documentation

• Daniel Lemire, Leonid Boytsov, Nathan Kurz, SIMD Compression and the Intersection of Sorted Integers, Software Practice & Experience 46 (6), 2016 http://arxiv.org/abs/1401.6399
• Daniel Lemire and Leonid Boytsov, Decoding billions of integers per second through vectorization, Software Practice & Experience 45 (1), 2015. http://arxiv.org/abs/1209.2137 http://onlinelibrary.wiley.com/doi/10.1002/spe.2203/abstract
• Jeff Plaisance, Nathan Kurz, Daniel Lemire, Vectorized VByte Decoding, International Symposium on Web Algorithms 2015, 2015. http://arxiv.org/abs/1503.07387
• Wayne Xin Zhao, Xudong Zhang, Daniel Lemire, Dongdong Shan, Jian-Yun Nie, Hongfei Yan, Ji-Rong Wen, A General SIMD-based Approach to Accelerating Compression Algorithms, ACM Transactions on Information Systems 33 (3), 2015.http://arxiv.org/abs/1502.01916

This work has also inspired other work such as...

• T. D. Wu, Bitpacking techniques for indexing genomes: I. Hash tables, Algorithms for Molecular Biology 11 (5), 2016.http://almob.biomedcentral.com/articles/10.1186/s13015-016-0069-5

 

說起較多的：

https://github.com/Randl/CS/tree/master/Hwang-Lin