quants 2.0.1

ANN based learning of quantifiers

quants package

Package for Artifical Neural Network (ANN) based learning of quantifiers.

It contains definition of scenes of elements and classes for both quantifier sampling and NN simple example package.

Classes

Quantifer classes

These classes are a quantifier hierarchy with methods and definitions for:

• Scenes that are composed of world elements pertaining to use of a sentence of the form "q as are bs".
• Construction of quantifier if parameters (such as in the case of ExactlyN for instance) are required.
• Static method for generation of a completely random scene.
• Generation of permuted prototype scenes that are evaluated as true under the given quantifier q.
• Evaluation of a given scene (returns TRUE for scenes generated by the same quantifier q in the previous method).

Classifier class approach

This approach assumes that quantifiers are learned as a group, essentially each quantifier q TRUE scene is a negative example for all other quantifiers q'. There is of course many scenes for which more than one quantifier is evaluated as TRUE, for instance if "Both students are eating" is TRUE then "Some students are eating" is also TRUE, this can be mitigated by implicatures which we do not address.

The classifier is in effect a solver for which q makes the sentence "q as are bs" most likely given an input scene s.

This enables us to use not only the quantifier quantify evaluation methods but the classifier in order to generate a teacher-student scheme.

AE approach

The AE approach tries to let an AE look at scenes where a given quantifier q was used by a teacher (language speaker), this is repeated many times till whatever structure typical to scenes TRUE under the quantifier q are encoded in the AE hidden values' represented structure. When learning is complete and when we are given a scene we use the AE as an anomaly detector to decide whether the scene is True under the quantifier q. The idea is that after seeing many q TRUE scenes a non q TRUE scene will have relatively high reconstruction errors.