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2026_ML pour la reconnaisance des formes

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Match the following definitions with the appropriate term for each.

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In practice session 5, we applied a square root to every BoVW vector we computed.

Knowing that the Hellinger kernel is defined as:

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what is the appropriate term to describe the technique we applied during practice session?

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Among the following families of functions, select the ones a neural network with

  • 1 hidden layer and an unrestricted (but finite) number of hidden units

  • a nonconstant, bounded, monotonically increasing activation function

can learn.

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Associate the appropriate term to each definition.

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Which of those training methods can have a parallel implementation?

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Among the following affirmations, check the ones which are true regarding Decision Trees.

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How to limit the risks of over-fitting with a Random Forest Classifier?

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A Gaussian distribution of two classes, "false" and "true".

The figure above depicts a distribution of "false" and "true" classes given a certain feature.

The figure also shows several potential places (a, b, c, d, e, f, g) where a threshold could be set.

Without any further knowledge about those classes, what is the best possible threshold to use to minimize the classification error?

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A Gaussian distribution of two classes, "false" and "true".

The figure above depicts a distribution of "false" and "true" classes given a certain feature.

The figure also shows several potential places (a, b, c, d, e, f, g) where a threshold could be set.

Select among the following curves the one which represents the right "Receiver Operating Characteristic" (ROC) curve corresponding to this distribution and thresholds.

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What is the expected accuracy of a truly random classifier (which picks one of the possible classes with a uniform probability) if we have 50 classes with equal probabilities.

Please provide 2 significant digits.

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