Secure Regression Nomogram Orientation for Coefficient Sign Clarity
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Solution Overview
Problem
Nomograms in existing regression analysis methods fail to intuitively and clearly express the sign of regression coefficients, particularly when they take both positive and negative values, leading to ambiguity in the magnitude relationship.
Innovation Solution
An analysis device that arranges line segments indicating the product of attribute values and regression coefficients in a direction corresponding to the sign of the coefficients, creating a nomogram where points are plotted at corresponding positions to clearly represent the sign of each term.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the regression coefficient is negative, then the magnitude relationship of the nomogram is reversed, but it becomes not intuitively clear whether the regression coefficient is negative or positive
Solution Approach 1:
The patent applies asymmetry by creating different visual representations for positive and negative regression coefficients. Positive coefficients use one orientation or styling while negative coefficients use a different orientation or styling, making the sign immediately distinguishable. This asymmetric treatment resolves the ambiguity in interpreting reversed magnitude relationships in nomograms.
Solution Approach 2:
The patent inverts the conventional nomogram approach by reversing the direction or orientation for negative coefficients specifically. Instead of always using the same scale direction, the visualization is inverted for negative values, creating a clear visual distinction that maintains intuitive interpretation while accurately representing the negative sign.
2Device complexity
If a sign is not written for the regression coefficient, then the nomogram appears simpler, but it is unclear whether the regression coefficient is negative
Solution Approach 1:
The patent uses color changes to indicate the sign of regression coefficients. Positive coefficients are displayed in one color while negative coefficients are displayed in a different color, providing immediate visual information about the sign without requiring explicit text labels. This maintains simplicity while preventing information loss.
Solution Approach 2:
The patent adds a visual dimension (such as direction, orientation, or spatial positioning) to encode the sign information. Instead of using only the magnitude scale, the visualization incorporates an additional dimensional cue that indicates whether the coefficient is positive or negative, thereby conveying information without increasing textual complexity.
Data Source
AI summary
An analysis device according to the embodiment includes a creation unit and an output control unit. The creation unit arranges a line segment indicating a point that is a product of an attribute value of a regression model obtained by regression analysis by secure computation and a regression coefficient in a direction corresponding to a sign of the corresponding regression coefficient and creates a nomogram in which the point is plotted at a position corresponding to a target point on the line segment. The output control unit outputs the created nomogram.