Dynamic Interval Width Adjustment for Frequency Distribution Data
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Solution Overview
Problem
Existing methods for generating frequency distribution data of numerical sequences are inefficient in terms of time, especially when dealing with interval widths, as they often result in a large number of intervals, leading to increased generation and access times.
Innovation Solution
A device and method that dynamically adjust the interval width based on a predetermined threshold, expanding it when the number of intervals exceeds the threshold, thereby reducing the number of intervals and enhancing generation speed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a small interval width is used to achieve detailed frequency distribution, then measurement precision is improved, but the number of intervals increases leading to longer generation time and increased device complexity
Solution Approach 1:
The patent applies dynamics by making the interval width adjustable rather than fixed. The system dynamically changes the interval width based on the distribution characteristics of the numerical sequence, allowing it to adapt between detailed precision and efficient processing depending on the data characteristics
Solution Approach 2:
The patent changes the parameter of interval width from a static value to a dynamically adjustable parameter. By modifying this parameter based on threshold comparisons and distribution analysis, the system optimizes between precision and processing efficiency
2Measurement precision
If a small interval width is used to achieve detailed frequency distribution, then measurement precision is improved, but device complexity and memory usage increase due to larger number of intervals
Solution Approach 1:
The system dynamically adjusts the interval width parameter based on the actual distribution of numerical data, changing from a fixed small interval to a larger adaptive interval when appropriate, thereby reducing the number of intervals and simplifying the data structure
Solution Approach 2:
The patent modifies the interval width parameter to optimize the balance between precision and complexity. By changing this parameter based on threshold comparisons and distribution analysis, the system reduces the number of intervals and associated data structure complexity
3Measurement precision
If a fixed small interval width is used, then measurement precision is maintained, but productivity decreases due to increased number of intervals requiring processing
Solution Approach 1:
The patent implements dynamic interval width adjustment that responds to the characteristics of the numerical sequence. When the sequence allows, the system transitions from small fixed intervals to larger adaptive intervals, significantly reducing the number of intervals to be processed and improving productivity
Solution Approach 2:
The system changes the interval width parameter from a fixed small value to a dynamically optimized value. This parameter change reduces the computational workload by decreasing the number of intervals, thereby improving data generation speed while maintaining necessary precision
Data Source
AI summary
A frequency distribution data generation device includes: a memory configured to store instructions; and a processor configured to execute the instructions to: estimate whether or not a number of intervals that are included in frequency distribution data at a time when all numbers included in a numerical sequence are reflected, is greater than a predetermined threshold, each interval having an interval width, the frequency distribution data indicating, for each of the intervals, a number of numbers included in the interval among numbers included in the numerical sequence; change the interval width to a wider interval width when the number of the intervals is estimated to be greater than the threshold value; and generate the frequency distribution data with the changed interval width.