Rank Evaluation System for Digraph Node Ranking Visualization
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Solution Overview
Problem
Existing rank evaluation systems for digraphs make it difficult for users to understand the factors behind changes in node rankings or the reasoning behind node ranking calculations.
Innovation Solution
A rank evaluation system that includes matrix generation, ranking calculation, and visualization components. The system generates a transition probability matrix based on a digraph and node evaluation criteria, calculates node rankings using a potential function, and visualizes the state of the potential function for selected nodes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If a traditional rank evaluation system is used to calculate node rankings in a digraph, then the ranking can be computed, but users cannot easily grasp the factors behind ranking changes or the reasoning behind the calculation
Solution Approach 1:
The patent segments the ranking calculation process into distinct components: a transition probability matrix that captures transition dynamics, a potential function that represents node characteristics, and a ranking calculation unit that combines these elements. This segmentation allows each component to be analyzed and visualized separately, making the overall ranking factors more graspable for users.
Solution Approach 2:
The patent introduces a potential function as an intermediary concept that bridges the transition probability matrix and the final ranking. The potential function serves as a mediator that translates complex transition dynamics into interpretable node characteristics, enabling users to understand the reasoning behind rankings without needing to directly analyze the full transition matrix.
2Ease of operation
If detailed analysis of ranking factors is provided, then user understanding improves, but the system becomes more complex and harder to operate
Solution Approach 1:
The patent employs visualization techniques that use color coding and graphical representations to display ranking factors and potential function states. By transforming complex numerical data into visual formats with intuitive color variations, the system makes ranking factors easily graspable while maintaining a relatively simple system architecture.
Solution Approach 2:
The patent transforms the complex multi-dimensional ranking calculation into a more manageable representation by visualizing the potential function in reduced dimensional spaces. This dimensional transformation allows users to perceive ranking factors through simplified graphical representations rather than complex numerical matrices.
Data Source
AI summary
When the ranking of nodes changes or when a user wants to know the reason for the node ranking calculation, the user can easily and intuitively grasp the factors of change in the ranking of nodes. A rank evaluation system for evaluating ranking of nodes in a digraph composed of a plurality of interconnected nodes, the system including: matrix generation means for generating a transition probability matrix for defining a probability of transition among the nodes based on the digraph; ranking calculation means for calculating the ranking of all the nodes by calculating, using a potential function, an eigen vector of the transition probability matrix generated by the matrix generation means; and ranking visualization means for visualizing a state of the potential function corresponding to a predetermined node partitively selected from all the nodes based on the ranking of all nodes calculated by the ranking calculation means.