Sorting Run Generation Exploiting Data Correlations
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Solution Overview
Problem
Existing data sorting methods fail to efficiently exploit negative correlations between input and desired sort orders, resulting in increased time and resource consumption during run generation and merging processes, especially with large volumes of data.
Innovation Solution
The method involves dynamically switching between ascending and descending sort orders during run generation based on detected correlations, using reversal of run order and truncation techniques to optimize run lengths and reduce computational resources.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If traditional sorting methods are used without exploiting data correlations, then the sorting process is simpler to implement, but the time and computational resources required increase significantly
Solution Approach 1:
The patent performs preliminary analysis of data correlations before executing the full sorting process. By detecting positive or negative correlations between adjacent data elements in advance, the system can pre-determine optimal run generation strategies, thereby improving sorting speed without adding significant complexity during the actual sorting execution.
Solution Approach 2:
The patent dynamically changes sorting parameters based on detected data correlations. When positive correlation is detected, it adjusts run generation parameters to exploit the existing order; when negative correlation is detected, it modifies merging parameters accordingly. This adaptive parameter adjustment improves sorting productivity while keeping the base algorithm relatively simple.
2Productivity
If run generation exploits positive correlation in data, then fewer and longer runs are produced reducing merging operations, but the algorithm becomes more complex
Solution Approach 1:
The patent implements feedback mechanisms that monitor data correlations during run generation. By continuously detecting whether positive or negative correlations exist in the input data, the system dynamically adjusts its run generation strategy. This feedback-driven approach reduces the number of merging operations needed while avoiding the need for overly complex predetermined algorithms.
Solution Approach 2:
The patent makes the run generation process dynamic by allowing it to adapt based on detected data characteristics. Rather than using a fixed complex algorithm, the system dynamically adjusts its behavior based on real-time correlation detection, thereby reducing merging operations with moderate algorithmic complexity.
3Loss of time
If sorting algorithms process large volumes of data without optimization, then the implementation remains simple, but time and resource consumption increase
Solution Approach 1:
The patent performs preliminary correlation analysis on large datasets before executing the main sorting operation. This preliminary action identifies patterns in the data that can be exploited during sorting, significantly reducing completion time for large volumes of data while adding only a small initial processing step rather than fundamentally complicating the entire system.
Solution Approach 2:
The patent dynamically adjusts sorting parameters based on detected data characteristics when processing large volumes. By changing parameters such as run size, merge strategy, and correlation detection thresholds based on the actual data being processed, the system reduces sorting time without requiring a completely complex customized algorithm for each dataset.
Data Source
AI summary
A computer executed method of exploiting correlations between original and desired data sequences during run generation comprises, with a processor, adding a number of data values from a data source to a first memory device, the first memory device defining a workspace, determining whether the data values within the workspace should be output in ascending or descending order for a number of runs, and writing a number of the data values as a run to a second memory device in the determined order.