Abstract

The paradigm of pattern discovery based on constraints was introduced with the aim of providing to the user a tool to drive the discovery process towards potentially interesting patterns, with the positive side effect of achieving a more efficient computation. So far the research on this paradigm has mainly focused on the latter aspect: the development of efficient algorithms for the evaluation of constraint-based mining queries. Due to the lack of research on methodological issues, the constraint-based pattern mining framework still suffers from many problems which limit its practical relevance. In this paper, we analyze such limitations and we show how they flow out from the same source: the fact that in the classical constraint-based mining, a constraint is a rigid boolean function which returns either true or false. Indeed, interestingness is not a dichotomy. Following this consideration, we introduce the new paradigm of pattern discovery based on Soft Constraints, where constraints are no longer rigid boolean functions.

Albeit based on a simple idea, our proposal has many merits: it provides a rigorous theoretical framework, which is very general (having the classical paradigm as a particular instance), and which overcomes all the major methodological drawbacks of the classical constraint-based paradigm, representing an important step further towards practical pattern discovery.

Keywords: Frequent pattern mining; Constraint-based mining; Soft constraints; Semiring-based constraints

Article Outline

1. Background and motivations

1.1. Paper contributions and organization

2. Introducing soft constraints

3. Instances of the semiring

3.1. Fuzzy semiring

3.2. Probabilistic semiring

3.3. Weighted semiring

4. Soft constraint based pattern mining

5. Implementing the framework

5.1. Mining (λ-interesting itemsets on the fuzzy semiring)

5.2. Mining (λ-interesting itemsets on the probabilistic semiring

5.3. Mining (λ-interesting itemsets on the weighted semiring)

5.4. Mining top-k itemsets

6. Related work

7. Conclusions and future work

References

Vitae