Locally Supervised Discriminant Analysis in Kernel Space

Author(s):  
Caikou Chen ◽  
Jun Shi ◽  
Yiming Yu
2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Xu Zhao

We propose a novel method, called Kernel Neighborhood Discriminant Analysis (KNDA), which can be regarded as a supervised kernel extension of Locality Preserving Projection (LPP). KNDA nonlinearly maps the original data into a kernel space in which two graphs are constructed to depict the within-class submanifold and the between-class submanifold. Then a criterion function which minimizes the quotient between the within-class representation and the between-class representation of the submanifolds is designed to separate each submanifold constructed by each class. The real contribution of this paper is that we bring and extend the submanifold based algorithm to a general model and by some derivation a simple result is given by which we can classify a given object to a predefined class effectively. Experiments on the MNIST Handwritten Digits database, the Binary Alphadigits database, the ORL face database, the Extended Yale Face Database B, and a downloaded documents dataset demonstrate the effectiveness and robustness of the proposed method.


1989 ◽  
Vol 22 (3) ◽  
pp. 158-168 ◽  
Author(s):  
Carl J Huberty ◽  
Richard M. Barton

2000 ◽  
Vol 16 (3) ◽  
pp. 147-149 ◽  
Author(s):  
Martin Grann

Summary: Hare's Psychopathy Checklist - Revised (PCL-R; Hare, 1991 ) was originally constructed for use among males in correctional and forensic settings. In this study, the PCL-R protocols of 36 matched pairs of female and male violent offenders were examined with respect to gender differences. The results indicated a few significant differences. By means of discriminant analysis, male Ss were distinguished from their female counterparts through their relatively higher scores on “callous/lack of empathy” (item 8) and “juvenile delinquency” (item 18), whereas the female Ss scored relatively higher on “promiscuous sexual behavior” (item 11). Some sources of bias and possible implications are discussed.


1997 ◽  
Vol 13 (2) ◽  
pp. 118-130 ◽  
Author(s):  
Juan I. Capafóns ◽  
Carmen D. Sosa ◽  
Manuel Herrero ◽  
Conrado Viña

The results are presented for the validation of a videotape as an analogous situation for a flight. The video includes the most significant elements of a flight by air: confirmation of the flight, packing, going to the airport, checking-in, going through the metal-detector, departure lounge, boarding the plane, demonstration of the personal safety drills, interiors and exteriors during the flight and landing. Two physiological measures are used for validation (heart rate and temperature) and a subjective measure (situational anxiety, SA). The results (both t-tests and the discriminant analysis) indicate that the videotape is able to discriminate between phobics and non-phobics of flying in the three variables considered. With respect to sensitivity in detecting change produced by various treatments in clients with phobia of flying, the results are also satisfactory. A greater differentiation is produced between the pre-post treatment measures, both in subjective and in the physiological measures.


1984 ◽  
Vol 23 (01) ◽  
pp. 15-22
Author(s):  
Y. Sekita ◽  
T. Ohta ◽  
M. Inoue ◽  
H. Takeda

SummaryJudgements of examinees’ health status by doctors and by the examinees themselves are compared applying multiple discriminant analysis. The doctors’ judgements of the examinees’ health status are studied comparatively using laboratory data and the examinees’ subjective symptom data.This data was obtained in an Automated Multiphasic Health Testing System. We discuss the health conditions which are significant for the judgement of doctors about the examinees. The results show that the explanatory power, when using subjective symptom data, is fair in the case of the doctors’ judgement. We found common variables, such as nervousness, lack of perseverance etc., which form the first canonical axis.


1981 ◽  
Vol 20 (04) ◽  
pp. 207-212 ◽  
Author(s):  
J. Hermans ◽  
B. van Zomeren ◽  
J. W. Raatgever ◽  
P. J. Sterk ◽  
J. D. F. Habbema

By means of a case study the choice between several methods of discriminant analysis is presented. Experimental data of a two-groups problem with one or two variables is analysed. The different methods are compared according to posterior probabilities which can be computed for each subject and which are the basis of discriminant analysis. These posterior probabilities are analysed graphically as well as numerically.


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