Title
A Probabilistic Identification Result
Abstract
The approach used to assess a learning algorithm should reect the type of environment we place the algorithm within. Often learners are given examples that both contain noise and are governed by a particular distribution. Hence, probabilistic identification in the limit is an appropriate tool for assessing such learners. In this paper we introduce an exact notion of probabilistic identification in the limit based on Laird’s thesis. The strategy presented incorporates a variety of learning situations including: noise free positive examples, noisy independently generated examples, and noise free with both positive and negative examples. This yields a useful technique for assessing the effectiveness of a learner when training data is governed by a distribution and is possibly noisy. An attempt has been made to give a preliminary theoretical evaluation of the Q-heuristic. To this end, we have shown that a learner using the Q-heuristic stochastically learns in the limit any finite class of concepts, even when noise is present in the training examples. This result is encouraging, because with enough data, there is the expectation that the learner will induce a correct hypothesis. The proof of this result is extended to show that a restricted infinite class of concepts can also be stochastically learnt in the limit. The restriction requires the hypothesis space to be g-sparse.
Year
DOI
Venue
2000
10.1007/3-540-40992-0_10
Algorithmic Learning Theory
Keywords
Field
DocType
stochastically learnt,particular distribution,restricted infinite class,hypothesis space,q-heuristic stochastically,enough data,correct hypothesis,noise free positive example,probabilistic identification,finite class,probabilistic identification result
Training set,Information processing,Concept class,Computer science,Probability measure,Artificial intelligence,Probabilistic logic,Rule of inference,Stochastic programming,Heuristic programming,Machine learning
Conference
Volume
ISSN
ISBN
1968
0302-9743
3-540-41237-9
Citations 
PageRank 
References 
0
0.34
4
Authors
1
Name
Order
Citations
PageRank
Eric McCreath113214.64