Decision Boundary
The surface in a classification model that separates different classes. Its mathematical properties—simplicity, smoothness and complexity—are central objects of study in interpretability and adversarial robustness research.
Timeline (last 90 days)
A decision boundary that is too simple may lead to underfitting, while one that is too convoluted may lead to overfitting.
If a decision function has a small Lipschitz constant, small perturbations of the input will not cause drastic changes in the output; this corresponds to the smoothness of the decision surface and is one of the core concepts in adversarial robustness research.
Weights control the direction of the decision boundary, and biases control the position of the decision boundary.
Topology-based measures of expressive power that rely on decision boundaries are not applicable to regression problems or other tasks that do not involve decision boundaries.
Decision margin or reasoning length can predict which rows will change—the lower the model confidence and the more verbose the reasoning chain, the greater the likelihood of that row flipping
All Facts (5)
A decision boundary that is too simple may lead to underfitting, while one that is too convoluted may lead to overfitting.
50%UnverifiedIf a decision function has a small Lipschitz constant, small perturbations of the input will not cause drastic changes in the output; this corresponds to the smoothness of the decision surface and is one of the core concepts in adversarial robustness research.
50%UnverifiedWeights control the direction of the decision boundary, and biases control the position of the decision boundary.
50%UnverifiedTopology-based measures of expressive power that rely on decision boundaries are not applicable to regression problems or other tasks that do not involve decision boundaries.
50%UnverifiedDecision margin or reasoning length can predict which rows will change—the lower the model confidence and the more verbose the reasoning chain, the greater the likelihood of that row flipping
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