Multi-Label Evidential Graph Neural Network for OOD Detection
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Solution Overview
Problem
Existing methods for out-of-distribution (OOD) detection on graph-structured data, particularly in multi-label settings, fail to effectively differentiate between OOD and in-distribution nodes, due to the inherent multi-label properties of nodes which are not addressed by existing OOD detection methods.
Innovation Solution
The implementation of Multi-Label Evidential Graph Neural Networks (ML-EGNNs) using Evidential Deep Learning (EDL) with beta loss, combined with Kernel-based Node Positive Evidence Estimation (KNPE), to quantify predictive uncertainty and fuse multi-label opinions through a comultiplication operation, enabling the detection of OOD nodes by distinguishing their low belief and lack of classification evidence.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If existing OOD detection methods are applied to graph-structured data, then the detection process is simplified, but the methods fail to effectively differentiate between OOD and in-distribution nodes due to multi-label properties
Solution Approach 1:
The patent segments the OOD detection problem into multiple independent binary classification tasks using beta distributions for each label. Instead of treating multi-label OOD detection as a single complex problem, it divides it into label-specific evidence collection and combination steps, allowing precise differentiation while maintaining operational clarity
Solution Approach 2:
The patent introduces evidential deep learning with beta distributions as an intermediary layer between the graph neural network and the final OOD detection. This intermediary enables the system to quantify uncertainty and differentiate OOD nodes by collecting evidence from multiple labels through comultiplication operations
2Measurement precision
If multi-label evidential graph neural networks are implemented to quantify predictive uncertainty, then OOD node differentiation accuracy is improved, but the system complexity increases
Solution Approach 1:
The patent implements a universal evidential graph neural network framework that handles both classification and OOD detection functions simultaneously. The same multi-label evidential network structure serves dual purposes: predicting labels and quantifying uncertainty, reducing the need for separate specialized components
Solution Approach 2:
The patent changes the parameter representation from standard probability outputs to beta distribution parameters (alpha and beta). This parameter transformation enables the network to express uncertainty explicitly while maintaining compatibility with standard graph neural network architectures, managing complexity through mathematical reformulation
3Reliability
If evidence collection and opinion fusion operations are performed for each label, then predictive uncertainty quantification is enhanced, but the computational time increases
Solution Approach 1:
The patent performs preliminary evidence collection during the training phase by computing beta distribution parameters from training labels. This preliminary action stores the evidential information in advance, so that during inference, the system only needs to perform efficient comultiplication operations rather than collecting evidence from scratch for each prediction
Solution Approach 2:
The patent merges the classification and uncertainty quantification processes into a single unified forward pass through the evidential graph neural network. By combining opinion fusion operations with the standard message-passing mechanism, it avoids separate computational steps and reduces overall computational time
4Productivity
If kernel-based node positive evidence estimation is applied, then the detection efficiency is improved, but the algorithm complexity increases
Solution Approach 1:
The patent uses kernel-based estimation as a computationally inexpensive method to approximate positive evidence from training data. Instead of implementing complex probabilistic models for evidence estimation, it employs simple kernel functions that provide sufficient accuracy with minimal computational overhead, effectively using simple approximations for complex inference tasks
Data Source
AI summary
Systems and methods for out-of-distribution detection of nodes in a graph includes collecting evidence to quantify predictive uncertainty of diverse labels of nodes in a graph of nodes and edges using positive evidence from labels of training nodes of a multi-label evidential graph neural network. Multi-label opinions are generated including belief and disbelief for the diverse labels. The opinions are combined into a joint belief by employing a comultiplication operation of binomial opinions. The joint belief is classified to detect out-of-distribution nodes of the graph. A corrective action is performed responsive to a detection of an out-of-distribution node. The systems and methods can employ evidential deep learning.


