Transcript KBS和KM
Discovering Interesting Patterns for Investment
Decision Making with GLOWER-A Genetic Learner
Overlaid With Entropy Reduction
Advisor: Dr. Hsu
Graduate:Min-Hong Lin
IDSL seminar 2001/12/11
Outline
Motivation
Objective
Genetic Search for Rules
Genetic Rule Discovery
Comparison of GLOWER to Tree and Rule
Induction
Conclusions
Comments
Motivation
Prediction in financial domains is difficult
to model.
The dimensionality is high.
Relationships among variables are weak and
nonlinear.
Variable interactions can be significant.
Objective
Describe and evaluate several variations of a new
genetic learning algorithm (GLOWER) on a
variety of data sets.
Comparison of GLOWER variants.
Comparison of GLOWER to Tree and Rule
Induction.
Genetic Search for Rules
Genetic algorithms (Packard, 1989; Goldberg,
1989, Holland, 1992) have been shown to be well
suited to learning rule-like patterns.
They have the ability to search large spaces for
pattern without resorting to heuristics that are
biased against term interactions.
Limitations of Genetic Search
Lack of speed
Randomness in creating the initial
population
They can be myopic after find one good
solution
Benefits of Genetic Search
Scour a search space thoroughly
Allow arbitrary fitness functions in the
search
The failings of greedy search
Tree Induction algorithms are currently
among the most widely used techniques in
data mining.
But greedy search conducted by TI
algorithms can overlook good patterns.
See next example
An example
An example(Cont’d)
Entropy Reduction
Tree induction algorithms typically
determine split points based on a heuristic
such as entropy reduction
Entropy Reduction(cont’d)
The entropy of a cluster i can be computed
using the standard formula:
The gain from a split is computed based on
the difference between the entropy of the
parent cluster and the entropy of the child
clusters resulting from the split.
An example(Cont’d)
Evaluation of partial models
Two commonly used metrics used to
measure the goodness of individual rules
are confidence and support.
If N is the total number of examples in a data set, then, for a rule form A à B:
Genetic Rule Discovery
Representation: Gene and Chromosome
Genetic Rule Discovery Process
An initial population of patterns (chromosomes) is
created randomly.
Each chromosome is evaluated and ranked.
The higher-ranked chromosomes are selected to
participate in “mating” and “mutation” to produce
new offspring.
Mating involves exchanging parts of chromosomes
(genes) between pairs. (Crossover)
Mutating involves changing the value of a gene
Genetic Rule Discovery Process(Cont’d)
By repeating these steps over and over, the search
converges on populations of better patterns, as
measured using some fitness function.
Genetic Rule Discovery (Cont’d)
Selection
(or reproduction)
Probability of
survival
Selection
Selection
Crossover
Crossover
Mutation
Genetic Rule Discovery (Cont’d)
Genetic Rule Discovery (Cont’d)
Two problems
A1 is the dominant pattern in the data set,
chromosomes typically gather in the neighborhood of
A1.
If such a pattern dominates the early populations, the
algorithm is likely to overlook the other patterns.
Approach(inductive strengthening )
Sequential Niching:SN
Data Reduction:DR
Sequential Niching:SN
Niching schemes have been described for dealing with
multimodal problems (Goldberg and Richardson (1987),
Oei et al. (1991).
inductive strengthening (Provost & Buchanan, 1992):
placing stronger restrictions on the search based on the
rules that have already been induced.
Genetic search can perform inductive strengthening by
niching sequentially.
After the search converges on a high-fitness schema, the evaluation
function can be modified to penalize patterns corresponding to it.
Sequential Niching:SN(Cont’d)
Data Reduction:DR
The most commonly used heuristic for inductive
strengthening is the covering heuristic.
we can apply the covering heuristic to genetic
search.
Instead of penalizing an area as classified when
calculating the fitness function, the data corresponding
to the area are removed from further consideration.
Compare DR to SN
Compare DR to SN(Cont’d)
The SN is more likely to produce non-overlapping rules
whereas the DR produces a hierarchy of rules
Compare DR to SN(Cont’d)
Comparison of GLOWER variants
Sampling Design
GLOWER Variants
sequential niching
sequential niching plus entropy reduction
data reduction plus entropy reduction
Results
Comparison of GLOWER to Tree and Rule Induction
To predict “earnings surprises”
Date set : a history of earnings forecasts and actual
reported earnings for S&P500 stocks between
1990/1~1998/9
60 independent variables were chosen based on
fundamental and technical analysis.
Results
Results(Cont’d)
GLOWER is more thorough in its search than RL
which is more thorough than TI
GLOWER outperforms in both confidence and
support for predicting positive surprises.
For negative surprises, the confidence levels are
similar, but GLOWER is better in support.
GA is much more suited to capturing symmetry in
the problem space
TI and RL find it harder to predict a negative
earnings surprise than a positive one.
Discussion
We are able to combine the speed of the traditional
methods with the more comprehensive search of
the GA.
GA employ useful heuristics for achieving higher
levels of support while maintaining high accuracy.
The GA is about two or three orders of magnitude
slower than a TI algorithm.
Explainability is an important consideration in
using knowledge discovery methods.
Conclusions
Genetic learning algorithms are more thorough in
their search than other rule learning algorithms for
hard problems.
Genetic algorithms have the flexibility to
accommodate variable fitness functions.
It provides comparison and of the heuristics used
by different rule-mining techniques.
Comments
GLOWER has the ability to uncover interesting
patterns for difficult problems.
Maybe the time complexity should be considered
in the experiment.