This work is supported by the Government of India, Defence Research & Development Organization, Grant No. ERIP-ER-
0703643-01-1025. ICETECT 2011
Evidence Generation for Dempster-Shafer Fusion
Using Feature Extraction Multiplicity and Radial
Basis Network
Prabha Verma
Sensors & Signal Processing Laboratory,
Department of Physics, Banaras Hindu University,
Varanasi 221005, India.
e-mail: pverma.bhu@gmail.com
R.D.S. Yadava
Sensors & Signal Processing Laboratory,
Department of Physics, Banaras Hindu University,
Varanasi 221005, India
e-mail: ardius@gmail.com , ardius@bhu.ac.in
Abstract—Feature extraction methods in pattern recognition
tasks seek to transform data variables to abstract mathematical
variables such that their scores (called features) reveal hidden
data structure of high cognitive value. Various feature extraction
methods process raw data from different perspectives. Some
depend on statistical correlation or independence such as
principal component analysis (PCA), independent component
analysis (ICA), singular value decomposition (SVD) and linear
discriminant analysis (LDA), and some others aim to model
parametric representations such as partial-least-square
regression (PLSR). These methods can be viewed as independent
observers who generate different feature sets for describing the
same data. In supervised pattern recognition problems, this
viewpoint can be combined with a classifier function to generate
independent sets of class likelihood. The latter can be interpreted
as evidences for class identities assigned by independent expert
systems consisted of feature extraction method and classifier
function combinations. Having created such set of experts, one
can employ an information fusion system that could predict class
identities. Following this paradigm, we used above mentioned
feature extraction methods paired with a radial basis network to
generate evidences, and applied Dempster-Shafer (D-S) fusion for
pattern classification in a number of benchmark data sets. It is
found that DS fusion results in enhanced classification rates
compared to results from individual expert systems.
Keywords—Evidence generation, Dempster-Shafer fusion,
pattern recognition
I. INTRODUCTION
Information fusion techniques combine multiple sources of
information to create basis for making decision. The basic
aim is to improve observability of target and boost confidence
level of decision making process. The baseline information is
collected or created from diverse perspectives so that in
combination they provide rich information pool for decision
taking [1]. Creation of diversified information can proceed at
several levels. It can be done directly from measurements by
using different methods such as object images collected by
active, passive and spectral methods; by pooling
measurements, data bases and expert opinion such as
collection of biometric data for disease diagnostics; and by
processing measured data from different perspectives such as
analyzing time-series data by different integral transforms and
statistical correlation methods.
In this work, we extend the last paradigm for evidence
generation for object recognition. We employ five feature
extraction methods to process a given data so that each method
generates a different set of features. This is creating diversity
of information by processors of varied perspectives from a
given set of measurements. For evidence generation, the
feature sets are fed to a class predictor which labels class’s
identities according to maximum values of a likelihood
function. The likelihood values can be interpreted as class
evidences. Thus, a feature extractor and class predictor
combination can be taken to be an evidence generator.
Different extractor-predictor combinations then can then be
treated as independent evidence generators. In order to verify
the veracity of this approach, we undertook a case study of
using five feature extractors in combination with radial basis
network to create five different evidence generators. The
processors are: principal component analysis (PCA),
independent component analysis (ICA), singular value
decomposition (SVD), linear discriminant analysis (LDA) and
partial-least-square regression (PLSR). Then, combine these
evidences by using Dempster-Shafer (D-S) rule to generate
class beliefs for identity declaration.
II. EVIDENCE GENERATION BASED ON MULTIPLE FEATURE
EXTRACTION AND RADIAL BASIS NETWORK
Figure 1 shows schematically the information fusion
strategy outlined above. In this section we summarize the basis
for present approach for evidence generation for Dempster-
Shafer fusion. The ground for D-S fusion rule lies in
independence of evidences being fused. Feature extraction
methods pull out concrete information content from data by
applying certain criteria which data structure most probably
conforms. These criteria are formulated in objective functions
of respective extraction methods. By applying different feature
extraction methods on the same data set should therefore
describe hidden structure of data from different perspectives.
Here, we have chosen five most common feature extraction
methods. These methods can be considered as five observers of
the same event producing their own measurements based on the
criteria they use. In the following we briefly summarize the
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