# Training WOperators¶

Learning image operators involves some preliminary activies such as preparing data and choosing parameters of the methods used. We list below the four steps necessary to start working with TRIOSlib.

## Defining a training set¶

The first step to is to create a representative training set with pairs of input-output image samples as the ones shown below. (source: ....)

Input image

Desired output

It is important to select pairs that contain characteristics relevant to the task of interest. For instance, when processing music score images (as above), one could include variations in staffline height and curvature. This allows the learned operator to process this specific conditions and may also help to generalize better to unseen variations.

Training sets are represented by the class Imageset, which is a list of tuples that contain the paths to an input image, the desired output and an optional binary mask image. Pixels that are 0 (black) in the mask are ignored.

## Window determination¶

W-operators are local image transformations. The window used during training defines which raw information is available to feature extraction and classification phases.

Given a training set, the chosen windows must be big enough to contain discriminative image features but as small as possible to avoid overfitting. As a rule of thumb, we typically use windows with rectangular domains with size at least 7. Which points belong to the window depend on the task of interest. The windows below were determined in ... to process music scores.

(reference windows for staff removal here)

Windows are represented by numpy 2D arrays of type np.uint8. Some window creation functions are available at trios.shortcuts.window, but any array of the correct type and dimesions work without issues.

## Choosing a Feature Extractor¶

The choice of which Feature Extractor to use depends on many different factors:

• Are the input images gray scale or binary?
• What is the window size?
• Does the output depend on the raw values of the pixels or only on the contrast between them?

The most basic choice is the trios.feature_extractors.RAWFeatureExtractor, which simply copies the pixels observed under W to a flat array. See Feature Extraction methods implemented in TRIOSlib for a description of all available feature extractors.

## Choosing a Classifier¶

As in the Feature Extractor case, the right classifier is largely problem dependent. It depends on the size of the window, the type of data (binary or gray level) and which feature extractor was used. More details can be found at Classifiers implemented in TRIOSlib.

A good first try is to use trios.classifiers.SKClassifier together with sklearn.tree.DecisionTreeClassifier. In our tests this combination was able to obtain satisfactory results with no parameter determination.

## Assembling everything using trios.WOperator¶

The trios.WOperator class employs Feature Extractors and Classifiers to transform images. It contains all the glue code necessary to extract patterns from images, classify them and assemble result images. Although all FeatureExtractor/Classifiers combinations should work, it is recommended to look at the docs of the used classes for possible incompatibilities.

from trios.classifiers import SKClassifier
from sklearn.tree import DecisionTreeClassifier
from trios.feature_extractors import RAWFeatureExtractor
import trios
import numpy as np

import trios.shortcuts.persistence as p

if __name__ == '__main__':
win = np.ones((7, 7), np.uint8)

# use Decision Tree Classifier and raw pixels as features.
op = trios.WOperator(win, SKClassifier(DecisionTreeClassifier()), RAWFeatureExtractor)
print('Training...')
op.train(images)

# save trained operator
p.save_gzip(op, 'dt-jung.op')

print('Applying to image jung-1a.png')
out = op.apply(img, msk)
p.save_image(out, 'out-dt-jung-1a.png')

Xt, yt = op.extractor.extract_dataset(test, True)
print(Xt.shape, yt.shape)
print(np.sum(op.classifier.apply_batch(Xt) != yt)/Xt.shape[0])
print('Accuracy', op.eval(test, procs=7))


See performance-eval for a guide on performance evaluation on TRIOS.

## What next?¶

The example presented is the simplest WOperator possible. The following advanced techniques are implemented as part of TRIOSlib and can dramatically increase the performance of trained operators.

The trios.contrib package contains implementations of complete algorithms used in papers. Methods on thr contrib package are most likely for parameter determination or specific to a domain of application.

• algo in contrib package
• algo II