Benchmark techniques: a constructive approach

Sequential Constructive Techniques

A Constructive Approach to “Universals”

But it is beyond the power of human capacity to frame and retain distinct ideas of all the particular things we meet with: every bird and beast men saw; every tree and plant that affected the senses, could not find a place in the most capacious understanding. During the Middle Ages, much of the debate about universals concerned the question whether or not they could be considered to " exist ". ...

Constructive Induction: A Version Space-based Approach

By automatically reformulating the problem domain, constructive induction ideally overcomes the defects of the ini t ial description. The reformulation presented here uses the Version Space primitives D ( E , F ) , defined for any pair of examples E and F, as the set of hypotheses covering E and discriminating F, From these primitives we derive a polynomial number of M-of -N concept. Experiment...

A Unified Approach to Sequential Constructive Methods

A general treatment of a particular class of learning techniques for neural networks, called sequential constructive methods, is proposed. They subsequently add units to the hidden layer until all the input-output relations contained in a given training set are satisfied. Every addition involves the update of a small portion of the whole weight matrix and depends on a subset of samples whose si...

A Constructive Approach to Noether's Problem

A general method is developed to attack Noether's Problem constructively by trying to nd minimal bases consisting of rational invariants which are quotients of polynomi-als of small degrees. The applications show that this approach is successful for many small groups and for most of the classical groups with their natural representations. AArmative answers to Noether's Problem are obtained for ...