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Paper details
Number 4 - December 2020
Volume 30 - 2020
ASA-graphs for efficient data representation and processing
Adrian Horzyk, Daniel Bulanda, Janusz A. Starzyk
Abstract
Fast discovering of various relationships in data is an important feature of modern data mining, cognitive, knowledge-based,
and explainable AI systems, including deep neural networks. The ability to represent a rich set of relationships between
stored data and objects is essential for fast inferences, finding associations, representing knowledge, and extracting useful
patterns or other pieces of information. This paper introduces self-balancing, aggregating, and sorting ASA-graphs for efficient data representation in various data structures, databases, and data mining systems. These graphs are smaller and use
more efficient algorithms for searching, inserting, and removing data than the most commonly used self-balancing trees.
ASA-graphs also automatically aggregate and count all duplicates of values and represent them by the same nodes, connecting them in order, and simultaneously providing very fast data access based on a binary search tree approach. The proposed ASA-graph structure combines the advantages of sorted lists, binary search trees, B-trees, and B+trees, eliminating their weaknesses. Our experiments proved that the ASA-graphs outperform many commonly used self-balancing trees.
Keywords
self-balancing trees, self-sorting trees, self-aggregating data structures, associative structures, graphs, data access efficiency, representation of relationships