LIBSVM: A library for support vector machines
Citations
743 citations
Cites methods from "LIBSVM: A library for support vecto..."
...We learn a one-vs-rest multi-class SVM with an RBFχ(2) kernel on the histograms using libsvm [7] as described in Section 3....
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...We learn a one-vs-rest multi-class SVM with an RBFχ2 kernel on the histograms using libsvm [7] as described in Section 3.2....
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...Let P (c|G;w) be the conditional probability of the set of class label assignments c given the adjacency graph G(S, E) and a weight w: − log(P (c|G;w)) = ∑ si∈S Ψ(ci|si) + w ∑ (si,sj)∈E Φ(ci, cj |si, sj) Our unary potentials Ψ are defined directly by the probability outputs provided by our SVM [7] for each superpixel: Ψ(ci|si) = − log(P (ci|si)) and our pairwise edge potentials Φ are similar to those of [32, 6]: Φ(ci, cj |si, sj) = ( L(si, sj) 1 + ‖si − sj‖ ) [ci = cj ] where [·] is the zero-one indicator function and ‖si − sj‖ is the norm of the color difference between superpixels in the LUV colorspace....
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...This provides a regularization for our SVM, reducing overfitting....
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...Then a one-vs-rest support vector machine (SVM) with an RBFχ2 kernel is trained on the labeled histograms for each of the object categories....
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735 citations
Cites methods from "LIBSVM: A library for support vecto..."
...We use the libsvm [9] implementation of SVMs and the LEAR [10] implementation of gist....
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730 citations
722 citations
Cites methods from "LIBSVM: A library for support vecto..."
..., SIFT [29], along with the bag-of-words coding scheme, followed by the feature pooling [24], [32], [39] and classic classifiers, such as Support Vector Machine (SVM) [5] and random forests [3]....
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...The hinge loss is used for maximum-margin classification, which is most notably for support vector machines (SVM)....
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716 citations
References
37,861 citations
"LIBSVM: A library for support vecto..." refers background in this paper
...{1,-1}, C-SVC [Boser et al. 1992; Cortes and Vapnik 1995] solves 4LIBSVM Tools: http://www.csie.ntu.edu.tw/~cjlin/libsvmtools. the following primal optimization problem: l t min 1 w T w +C .i (1) w,b,. 2 i=1 subject to yi(w T f(xi) +b) =1 -.i, .i =0,i =1,...,l, where f(xi)maps xi into a…...
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26,531 citations
"LIBSVM: A library for support vecto..." refers background in this paper
...Under given parameters C > 0and E> 0, the standard form of support vector regression [Vapnik 1998] is ll tt 1 T min w w + C .i + C .i * w,b,.,. * 2 i=1 i=1 subject to w T f(xi) + b- zi = E + .i, zi - w T f(xi) - b = E + .i * , * .i,.i = 0,i = 1,...,l....
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...It can be clearly seen that C-SVC and one-class SVM are already in the form of problem (11)....
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..., l, in two classes, and a vector y ∈ Rl such that yi ∈ {1,−1}, C-SVC (Cortes and Vapnik, 1995; Vapnik, 1998) solves the following primal problem:...
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...Then, according to the SVM formulation, svm train one calls a corresponding subroutine such as solve c svc for C-SVC and solve nu svc for ....
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...Note that b of C-SVC and E-SVR plays the same role as -. in one-class SVM, so we de.ne ....
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11,211 citations
"LIBSVM: A library for support vecto..." refers background in this paper
...It can be clearly seen that C-SVC and one-class SVM are already in the form of problem (11)....
[...]
...Then, according to the SVM formulation, svm train one calls a corresponding subroutine such as solve c svc for C-SVC and solve nu svc for ....
[...]
...Note that b of C-SVC and E-SVR plays the same role as -. in one-class SVM, so we de.ne ....
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...In Section 2, we describe SVM formulations supported in LIBSVM: C-Support Vector Classi.cation (C-SVC), ....
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...{1,-1}, C-SVC [Boser et al. 1992; Cortes and Vapnik 1995] solves 4LIBSVM Tools: http://www.csie.ntu.edu.tw/~cjlin/libsvmtools. the following primal optimization problem: l t min 1 w T w +C .i (1) w,b,. 2 i=1 subject to yi(w T f(xi) +b) =1 -.i, .i =0,i =1,...,l, where f(xi)maps xi into a higher-dimensional space and C > 0 is the regularization parameter....
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7,069 citations
"LIBSVM: A library for support vecto..." refers methods in this paper
...A Simple Example of Running LIBSVM While detailed instructions of using LIBSVM are available in the README file of the package and the practical guide by Hsu et al. [2003], here we give a simple example....
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...For instructions of using LIBSVM, see the README file included in the package, the LIBSVM FAQ,3 and the practical guide by Hsu et al. [2003]. LIBSVM supports the following learning tasks....
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6,562 citations