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tono/docs/nodes/Logistic Classification.md
2026-04-04 00:25:53 -07:00

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Logistic Classification

Classify surface features using logistic regression on engineered height-derived features. Optionally accepts a training mask; otherwise an Otsu-based threshold generates pseudo-labels automatically.

Inputs

Name Type Required Description
field DATA_FIELD Yes Input topographic surface to classify
training_mask IMAGE No Optional training labels — masked pixels are treated as the positive class

Outputs

Name Type Description
mask IMAGE Binary classification result (0 or 255)
probability DATA_FIELD Per-pixel probability from the logistic model (values in [0, 1])

Controls

Name Type Default Description
use_gaussians BOOLEAN True Include Gaussian blur features at multiple scales
n_gaussians INT 4 Number of Gaussian scales (110). Only shown when use_gaussians is True
use_sobel BOOLEAN True Include Sobel gradient features (horizontal and vertical)
use_laplacian BOOLEAN True Include Laplacian (sum of second differences) feature
regularization FLOAT 1.0 L2 regularization strength lambda (0.010.0)
max_iter INT 500 Maximum gradient descent iterations (105000)
seed INT 42 Random seed for reproducibility (0999999)

Notes

  • Feature engineering: The classifier always uses normalized raw height as a feature. Gaussian blurs at scales 2^0, 2^1, ..., 2^(n-1) capture multi-scale smoothness. Sobel gradients detect edges, and the Laplacian highlights curvature. All features are standardized to zero mean and unit variance before training.
  • L2 regularization: The regularization parameter controls overfitting by penalizing large weights. Higher values produce smoother, more generalizable decision boundaries. The bias term is not regularized.
  • Logistic regression vs neural networks: Logistic regression is a linear classifier — it learns a single hyperplane in feature space. For complex, highly non-linear boundaries a neural network may be more appropriate, but logistic regression is fast, interpretable, and often sufficient when combined with good feature engineering.
  • Unsupervised mode: When no training mask is provided, the node uses an Otsu-like threshold on the raw height to generate pseudo-labels, then trains the classifier on those labels. This can improve on simple thresholding because the classifier leverages multi-scale and gradient features.
  • Equivalent to Gwyddion's logistic.c classification functionality.