Neural Networks,Neural Network

Machine Learning

Introduction

Learning is an inherent characteristic of the human beings. By virtue of this, people, while executing similar tasks, acquire the ability to improve their performance. This chapter provides an overview of the principle of learning that can be adhered to machines to improve their performance. Such learning is usually referred to as 'machine learning'. Machine learning can be broadly classified into three categories: i) Supervised learning, ii) Unsupervised learning and iii) Reinforcement learning. Supervised learning requires a trainer, who supplies the input-output training instances. The learning system adapts its parameters by some algorithms to generate the desired output patterns from a given input pattern. In absence of trainers, the desired output for a given input instance is not known, and consequently the learner has to adapt its parameters autonomously. Such type of learning is termed 'unsupervised learning'. The third type called the reinforcement learning bridges a gap between supervised and unsupervised categories. In reinforcement learning, the learner does not explicitly know the input-output instances, but it receives some form of feedback from its environment. The feedback signals help the learner to decide whether its action on the environment is rewarding or punishable. The learner thus adapts its parameters based on the states (rewarding / punishable) of its actions. Among the supervised learning techniques, the most common are inductive and analogical learning. The inductive learning technique, presented in the chapter, includes decision tree and version space based learning. Analogical learning is briefly introduced through illustrative examples. The principle of unsupervised learning is illustrated here with a clustering problem. The section on reinforcement learning includes Q-learning and temporal difference learning. A fourth category of learning, which has emerged recently from the disciplines of knowledge engineering, is called 'inductive logic programming'. The principles of inductive logic programming have also been briefly introduced in this chapter. The chapter ends with a brief discussion on the 'computational theory of learning'. With the background of this theory, one can measure the performance of the learning behavior of a machine from the training instances and their count.

Supervised Learning

As already mentioned, in supervised learning a trainer submits the inputoutput exemplary patterns and the learner has to adjust the parameters of the system autonomously, so that it can yield the correct output pattern when excited with one of the given input patterns. We shall cover two important types of supervised learning in this section. These are i) inductive learning and ii) analogical learning.

Inductive Learning

In supervised learning we have a set of {xi, f (xi)} for 1≤i≤n, and our aim is to determine 'f' by some adaptive algorithm. The inductive learning is a special class of the supervised learning techniques, where given a set of {xi, f(xi)} pairs, we determine a hypothesis h(xi ) such that h(xi )≈f(xi ), ∀ i. A natural question that may be raised is how to compare the hypothesis h that approximates f. For instance, there could be more than one h(xi ) where all of which are approximately close to f(xi ). Let there be two hypothesis h1 and h2, where h1(xi) ≈ f(xi) and h2(xi) = f(xi). We may select one of the two hypotheses by a preference criterion, called bias.

When {xi, f(xi)}, 1≤ ∀i ≤ n are numerical quantities we may employ the neural learning techniques presented in the next chapter. Readers may wonder: could we find 'f' by curve fitting as well. Should we then call curve fitting a learning technique? The answer to this, of course, is in the negative. The learning algorithm for such numerical sets {xi, f(xi )} must be able to adapt the parameters of the learner. The more will be the training instance, the larger will be the number of adaptations. But what happens when xi and f(xi) are non-numerical? For instance, suppose given the truth table of the following training instances.
Truth Table: Training Instances

Here we may denote bi = f (ai, ai→bi) for all i=1 to n. From these training instances we infer a generalized hypothesis h as follows.

h≡∀i (ai, ai→bi)⇒bi.

Analogical Learning

In inductive learning we observed that there exist many positive and negative instances of a problem and the learner has to form a concept that supports most of the positive and no negative instances. This demonstrates that a number of training instances are required to form a concept in inductive learning. Unlike this, analogical learning can be accomplished from a single example. For instance, given the following training instance, one has to determine the plural form of bacilus.

Obviously, one can answer that the plural form of bacillus is bacilli. But how do we do so? From common sense reasoning, it follows that the result is because of the similarity of bacillus with fungus. The analogical learning system thus learns that to get the plural form of words ending with 'us' is to replace it with 'i'.

The main steps in analogical learning are now formalized below.

  1. Identifying Analogy: Identify the similarity between an experienced problem instance and a new problem.
  2. Determining the Mapping Function: Relevant parts of the experienced problem are selected and the mapping is determined.
  3. Apply Mapping Function: Apply the mapping function to transform the new problem from the given domain to the target domain.
  4. Validation: The newly constructed solution is validated for its applicability through its trial processes like theorem or simulation.
  5. Learning: If the validation is found to work well, the new knowledge is encoded and saved for future usage.


Learning from an example.

Analogical reasoning has been successfully realized in many systems. Winston's analogical system was designed to demonstrate that the relationship between acts and actors in one story can explain the same in another story. Carbonell's transformational analogy system employs a new approach to problem solving. It solves new problems by modifying existing solutions to problems until they may be applied to new problem instances.