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(2)
Pattern Classification
Linear Program
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Pattern Classification Using Linear Programming
Pattern Classification Using Linear Programming,10.1287/ijoc.3.1.66,Informs Journal on Computing,Asim Roy,Somnath Mukhopadhyay
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Pattern Classification Using Linear Programming
(
Citations: 11
)
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Asim Roy
,
Somnath Mukhopadhyay
Journal:
Informs Journal on Computing  INFORMS
, vol. 3, no. 1, pp. 6680, 1991
DOI:
10.1287/ijoc.3.1.66
Cumulative
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The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
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joc.journal.informs.org
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(
www.informatik.unitrier.de
)
(
dx.doi.org
)
Citation Context
(5)
...For example, the polynomialtimetrained hyperspherical classifier presented in [
7
] and [8] and the restricted Coulomb energy algorithm presented in [6] and [14] are neural networks using some distance function as their node functions...
Ling Zhang
,
et al.
A geometrical representation of McCullochPitts neural model and its a...
...The methods of Roy et al. [
26
, 25, 24] use clustering in conjunction with LP to generate neural networks in polynomial time...
Erin J. Bredensteiner
,
et al.
Multicategory Classification by Support Vector Machines
...All of the previous algorithms [22], [
31
]‐[33], based on these learning principles, were for classification...
Asim Roy
,
et al.
A neuralnetwork learning theory and a polynomial time RBF algorithm
...All of the previous methods for generating neural networks in polynomial time ([21], [
24
]‐[27]) use some form of clustering in conjunction with linear programming (LP) models to generate the networks [higher order perceptrons, radial basis function (RBF) nets]...
...Roy et al. [
24
], [25], [27] use a certain type of nonlinear function to obtain such nonlinear separation...
...The masking procedure actually generates a multilayer perceptron as shown in [21], [
24
], and [25]...
...Remarks: The LP model used in [21], [
24
], and [25] is different from the one used here...
...The LP model used here minimizes the weighted sum of the deviations, whereas the one in [21], [
24
], and [25] attempts to find whether a certain linear or nonlinear separating plane can separate two sets of patterns, belonging to two different classes, completely...
...By comparison, the algorithm of Roy et al. [
24
], [25] and Mukhopadhyay et al. [21] requires 14 masks for a sevenbit parity and 28 for an eightbit parity...
Asim Roy
,
et al.
Iterative generation of higherorder nets in polynomial time using lin...
...
Tesauro and Janssens (1988)
also used 2N hidden units to overcome the local minimum problem...
Somnath Mukhopadhyay
,
et al.
A Polynomial Time Algorithm for Generating Neural Networks for Pattern...
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Citations
(11)
A geometrical representation of McCullochPitts neural model and its applications
(
Citations: 39
)
Ling Zhang
,
Bo Zhang
Journal:
IEEE Transactions on Neural Networks
, vol. 10, no. 4, pp. 925929, 1999
Neural Network Based Classifers for a Vast Amount of Data
(
Citations: 1
)
Ling Zhang
,
Bo Zhang
Conference:
PacificAsia Conference on Knowledge Discovery and Data Mining  PAKDD
, pp. 238246, 1999
Multicategory Classification by Support Vector Machines
Erin J. Bredensteiner
,
Kristin P. Bennett
Journal:
Computational Optimization and Applications  COMPUT OPTIM APPL
, vol. 12, no. 1, pp. 5379, 1999
Boundary search procedure for the design and training of an ontogenic neural network classifier
James R. Soltys
,
James P. Ignizio
Journal:
Computers & Operations Research  CoR
, vol. 25, no. 1, pp. 1929, 1998
A neuralnetwork learning theory and a polynomial time RBF algorithm
(
Citations: 45
)
Asim Roy
,
Sandeep Govil
,
Raymond Miranda
Journal:
IEEE Transactions on Neural Networks
, vol. 8, no. 6, pp. 13011313, 1997