kernel references

[Aronszajn1950Theory] N. Aronszajn. Theory of reproducing kernels. Trans. Am. Math. Soc., 68:337 - 404, 1950. [ bib | .pdf ]
Keywords: kernel-theory
[Saitoh1988Theory] S. Saitoh. Theory of reproducing Kernels and its applications. Longman Scientific & Technical, Harlow, UK, 1988. [ bib ]
[Boser1992training] B. E. Boser, I. M. Guyon, and V. N. Vapnik. A training algorithm for optimal margin classifiers. In Proceedings of the 5th annual ACM workshop on Computational Learning Theory, pages 144-152, New York, NY, USA, 1992. ACM Press. [ bib | .ps.Z | .pdf ]
[Vapnik1998Statistical] V. N. Vapnik. Statistical Learning Theory. Wiley, New-York, 1998. [ bib ]
[Mukherjee1998Support] S. Mukherjee, P. Tamayo, J. P. Mesirov, D. Slonim, A. Verri, and T. Poggio. Support vector machine classification of microarray data. Technical Report 182, C.B.L.C., 1998. A.I. Memo 1677. [ bib | .html | .pdf ]
Keywords: biosvm microarray
[Burges1998Tutorial] C. J. C. Burges. A Tutorial on Support Vector Machines for Pattern Recognition. Data Min. Knowl. Discov., 2(2):121-167, 1998. [ bib | .ps.gz | .pdf ]
[Schoelkopf1999Kernel] B. Schölkopf, A.J. Smola, and K.-R. Müller. Kernel principal component analysis. In B. Schölkopf, C. Burges, and A. Smola, editors, Advances in Kernel Methods - Support Vector Learning, pages 327-352. MIT Press, 1999. [ bib | .pdf ]
[Platt1999Fast] J. Platt. Fast training of support vector machines using sequential minimal optimization. In B. Schölkopf, C. Burges, and A. Smola, editors, Advances in Kernel Methods - Support Vector Learning, pages 185-208. MIT Press, Cambridge, MA, USA, 1999. [ bib ]
Keywords: kernel-theory
[Mika1999Fisher] S. Mika, G. Rätsch, J. Weston, B. Schölkopf, and K.R. Müller. Fisher discriminant analysis with kernels. In Y.-H. Hu, J. Larsen, E. Wilson, and S. Douglas, editors, Neural Networks for Signal Processing IX, pages 41-48. IEEE, 1999. [ bib | .ps | .pdf ]
[Jaakkola1999Probabilistic] T. S. Jaakkola and D. Haussler. Probabilistic kernel regression models. In Proceedings of the 1999 Conference on AI and Statistics. Morgan Kaufmann, 1999. [ bib | .ps.gz | .pdf ]
[Jaakkola1999Exploiting] T. S. Jaakkola and D. Haussler. Exploiting generative models in discriminative classifiers. In Proc. of Tenth Conference on Advances in Neural Information Processing Systems, 1999. [ bib | .ps | .pdf ]
Keywords: biosvm
[Haussler1999Convolution] D. Haussler. Convolution Kernels on Discrete Structures. Technical Report UCSC-CRL-99-10, UC Santa Cruz, 1999. [ bib | .pdf ]
We introduce a new method of constructing kernels on sets whose elements are discrete structures like strings, trees and graphs. The method can be applied iteratively to build a kernel on a infinite set from kernels involving generators of the set. The family of kernels generated generalizes the family of radial basis kernels. It can also be used to define kernels in the form of joint Gibbs probability distributions. Kernels can be built from hidden Markov random fields, generalized regular expressions, pair-HMMs, or ANOVA decompositions. Uses of the method lead to open problems involving the theory of infinitely divisible positive definite functions. Fundamentals of this theory and the theory of reproducing kernel Hilbert spaces are reviewed and applied in establishing the validity of the method.

Keywords: biosvm
[Amari1999Improving] S.-I. Amari and S. Wu. Improving support vector machine classifiers by modifying kernel functions. Neural Networks, 12(6):783-789, Jul 1999. [ bib | .ps | .pdf ]
We propose a method of modifying a kernel function to improve the performance of a support vector machine classifier. This is based on the structure of the Riemannian geometry induced by the kernel function. The idea is to enlarge the spatial resolution around the separating boundary surface, by a conformal mapping, such that the separability between classes is increased. Examples are given specifically for modifying Gaussian Radial Basis Function kernels. Simulation results for both artificial and real data show remarkable improvement of generalization errors, supporting our idea.

[Watkins2000Dynamic] C. Watkins. Dynamic alignment kernels. In A.J. Smola, P.L. Bartlett, B. Schölkopf, and D. Schuurmans, editors, Advances in Large Margin Classifiers, pages 39-50. MIT Press, Cambridge, MA, 2000. [ bib | .ps.gz | .pdf ]
Keywords: biosvm
[Scholkopf2000Support] B. Schölkopf, R. Williamson, A. Smola, J. Shawe-Taylor, and J. Platt. Support Vector Method for Novelty Detection. In S.A. Solla, T.K. Leen, and K.-R. Müller, editors, Adv. Neural Inform. Process. Syst., volume 12, pages 582-588. MIT Press, 2000. [ bib | .html | .pdf ]
[Lodhi2000Text] H. Lodhi, J. Shawe-Taylor, N. Cristianini, and C. J. C. H. Watkins. Text Classification using String Kernels. In Adv. Neural Inform. Process. Syst., pages 563-569, 2000. [ bib | .ps.gz | .pdf ]
Keywords: biosvm
[Lai2000Kernel] P.L. Lai and C. Fyfe. Kernel and nonlinear canonical correlation analysis. Int. J. Neural Syst., 10(5):365-377, 2000. [ bib | .html | .pdf ]
[Jaakkola2000Discriminative] T. Jaakkola, M. Diekhans, and D. Haussler. A Discriminative Framework for Detecting Remote Protein Homologies. J. Comput. Biol., 7(1,2):95-114, 2000. [ bib | .ps | .pdf ]
Keywords: biosvm
[Cristianini2000introduction] N. Cristianini and J. Shawe-Taylor. An introduction to Support Vector Machines and other kernel-based learning methods. Cambridge University Press, 2000. [ bib | http ]
[Pavlidis2001Gene] P. Pavlidis, J. Weston, J. Cai, and W.N. Grundy. Gene functional classification from heterogeneous data. In Proceedings of the Fifth Annual International Conference on Computational Biology, pages 249-255, 2001. [ bib | .pdf | .pdf ]
Keywords: biosvm
[Pavlidis2001Promoter] P. Pavlidis, T. S. Furey, M. Liberto, D. Haussler, and W. N. Grundy. Promoter Region-Based Classification of Genes. In Pacific Symposium on Biocomputing, pages 139-150, 2001. [ bib | .pdf | .pdf ]
Keywords: biosvm
[Ding2001Multi-class] C.H.Q. Ding and I. Dubchak. Multi-class protein fold recognition using support vector machines and neural networks. Bioinformatics, 17:349-358, 2001. [ bib | .pdf | .pdf ]
Motivation: Protein fold recognition is an important approach to structure discovery without relying on sequence similarity. We study this approach with new multi-class classification methods and examined many issues important for a practical recognition system. Results: Most current discriminative methods for protein fold prediction use the one-against-others method, which has the well-known ?False Positives? problem. We investigated two new methods: the unique one-against-others and the all-against-all methods. Both improve prediction accuracy by 14?110 SCOP folds. We used the Support Vector Machine (SVM) and the Neural Network (NN) learning methods as base classifiers. SVMs converges fast and leads to high accuracy. When scores of multiple parameter datasets are combined, majority voting reduces noise and increases recognition accuracy. We examined many issues involved with large number of classes, including dependencies of prediction accuracy on the number of folds and on the number of representatives in a fold. Overall, recognition systems achieve 56 accuracy on a protein test dataset, where most of the proteins have below 25 information: The protein parameter datasets used in this paper are available online (http://www.nersc.gov/ cding/protein).

Keywords: biosvm
[Bock2001Predicting] J. R. Bock and D. A. Gough. Predicting protein-protein interactions from primary structure. Bioinformatics, 17(5):455-460, 2001. [ bib | .pdf | .pdf ]
Keywords: biosvm
[Ben-Hur2001Support] A. Ben-Hur, D. Horn, H.T. Siegelmann, and V. Vapnik. Support Vector Clustering. J. Mach. Learn. Res., 2:125-137, 2001. [ bib | .pdf | .pdf ]
[Hua2001Novel] S. Hua and Z. Sun. A Novel Method of Protein Secondary Structure Prediction with High Segment Overlap Measure: Support Vector Machine Approach. J. Mol. Biol., 308(2):397-407, April 2001. [ bib | DOI | .pdf ]
Keywords: biosvm
[Zavaljevski2002Support] N. Zavaljevski, F.J. Stevens, and J. Reifman. Support vector machines with selective kernel scaling for protein classification and identification of key amino acid positions. Bioinformatics, 18(5):689-696, 2002. [ bib | http | .pdf ]
Motivation: Data that characterize primary and tertiary structures of proteins are now accumulating at a rapid and accelerating rate and require automated computational tools to extract critical information relating amino acid changes with the spectrum of functionally attributes exhibited by a protein. We propose that immunoglobulin-type beta-domains, which are found in approximate 400 functionally distinct forms in humans alone, provide the immense genetic variation within limited conformational changes that might facilitate the development of new computational tools. As an initial step, we describe here an approach based on Support Vector Machine (SVM) technology to identify amino acid variations that contribute to the functional attribute of pathological self-assembly by some human antibody light chains produced during plasma cell diseases. Results: We demonstrate that SVMs with selective kernel scaling are an effective tool in discriminating between benign and pathologic human immunoglobulin light chains. Initial results compare favorably against manual classification performed by experts and indicate the capability of SVMs to capture the underlying structure of the data. The data set consists of 70 proteins of human antibody 1 light chains, each represented by aligned sequences of 120 amino acids. We perform feature selection based on a first-order adaptive scaling algorithm, which confirms the importance of changes in certain amino acid positions and identifies other positions that are key in the characterization of protein function.

Keywords: biosvm
[Vinokourov2002Finding] A. Vinokourov, J. Shawe-Taylor, and N. Cristianini. Finding Language-Independent Semantic Representation of Text using Kernel Canonical Correlation Analysis. Technical report, Neurocolt, 2002. NeuroCOLT Technical Report NC-TR-02-119. [ bib | .html | .ps.gz ]
[Vert2002tree] J.-P. Vert. A tree kernel to analyze phylogenetic profiles. Bioinformatics, 18:S276-S284, 2002. [ bib | .html | .pdf ]
Keywords: biosvm
[Vert2002Support] J.-P. Vert. Support vector machine prediction of signal peptide cleavage site using a new class of kernels for strings. In R. B. Altman, A. K. Dunker, L. Hunter, K. Lauerdale, and T. E. Klein, editors, Proceedings of the Pacific Symposium on Biocomputing 2002, pages 649-660. World Scientific, 2002. [ bib | .pdf | .pdf ]
Keywords: biosvm
[Stapley2002Predicting] B.J. Stapley, L.A. Kelley, and M.J. Sternberg. Predicting the sub-cellular location of proteins from text using support vector machines. In Russ B. Altman, A. Keith Dunker, Lawrence Hunter, Kevin Lauerdale, and Teri E. Klein, editors, Proceedings of the Pacific Symposium on Biocomputing 2002, pages 374-385. World Scientific, 2002. [ bib | .pdf | .pdf ]
We present an automatic method to classify the sub-cellular location of proteins based on the text of relevant medline abstracts. For each protein, a vector of terms is generated from medline abstracts in which the protein/gene's name or synonym occurs. A Support Vector Machine (SVM) is used to automatically partition the term space and to thus discriminate the textual features that define sub-cellular location. The method is benchmarked on a set of proteins of known sub-cellular location from S. cerevisiae. No prior knowledge of the problem domain nor any natural language processing is used at any stage. The method out-performs support vector machines trained on amino acid composition and has comparable performance to rule-based text classifiers. Combining text with protein amino-acid composition improves recall for some sub-cellular locations. We discuss the generality of the method and its potential application to a variety of biological classification problems.

Keywords: biosvm
[Schoelkopf2002Kernel] B. Schölkopf, J. Weston, E. Eskin, C. Leslie, and W.S. Noble. A Kernel Approach for Learning from Almost Orthogonal Patterns. In Proceedings of ECML 2002, 2002. [ bib | .pdf | .pdf ]
[Scholkopf2002Learning] B. Schölkopf and A. J. Smola. Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge, MA, 2002. [ bib | http ]
[Patterson2002Pre-mRNA] D.J. Patterson, K. Yasuhara, and W.L. Ruzzo. Pre-mRNA secondary structure prediction aids splice site prediction. In Russ B. Altman, A. Keith Dunker, Lawrence Hunter, Kevin Lauerdale, and Teri E. Klein, editors, Proceedings of the Pacific Symposium on Biocomputing 2002, pages 223-234. World Scientific, 2002. [ bib | .pdf | .pdf ]
Accurate splice site prediction is a critical component of any computational approach to gene prediction in higher organisms. Existing approaches generally use sequence-based models that capture local dependencies among nucleotides in a small window around the splice site. We present evidence that computationally predicted secondary structure of moderate length pre-mRNA subsequencies contains information that can be exploited to improve acceptor splice site prediction beyond that possible with conventional sequence-based approaches. Both decision tree and support vector machine classifiers, using folding energy and structure metrics characterizing helix formation near the splice site, achieve a 5-10 a human data set. Based on our data, we hypothesize that acceptors preferentially exhibit short helices at the splice site.

Keywords: biosvm
[Lodhi2002Text] H. Lodhi, C. Saunders, J. Shawe-Taylor, N. Cristianini, and C.je n'ai pas vraiment d'éléments de réponse. Watkins. Text classification using string kernels. J. Mach. Learn. Res., 2:419-444, 2002. [ bib | .html | .pdf ]
Keywords: biosvm
[Liao2002Combining] L. Liao and W. S. Noble. Combining pairwise sequence similarity and support vector machines for remote protein homology detection. In Proceedings of the Sixth International Conference on Computational Molecular Biology, 2002. [ bib | .html | .pdf ]
Keywords: biosvm
[Leslie2002spectrum] C. Leslie, E. Eskin, and W.S. Noble. The spectrum kernel: a string kernel for SVM protein classification. In Russ B. Altman, A. Keith Dunker, Lawrence Hunter, Kevin Lauerdale, and Teri E. Klein, editors, Proceedings of the Pacific Symposium on Biocomputing 2002, pages 564-575, Singapore, 2002. World Scientific. [ bib | .pdf ]
Keywords: biosvm
[Kondor2002Diffusion] R. I. Kondor and J. Lafferty. Diffusion kernels on graphs and other discrete input. In Proceedings of the Nineteenth International Conference on Machine Learning, pages 315-322, San Francisco, CA, USA, 2002. Morgan Kaufmann Publishers Inc. [ bib | .pdf ]
Keywords: biosvm
[Karchin2002Classifying] R. Karchin, K. Karplus, and D. Haussler. Classifying G-protein coupled receptors with support vector machines. Bioinformatics, 18:147-159, 2002. [ bib | http | .pdf ]
Motivation: The enormous amount of protein sequence data uncovered by genome research has increased the demand for computer software that can automate the recognition of new proteins. We discuss the relative merits of various automated methods for recognizing G-Protein Coupled Receptors (GPCRs), a superfamily of cell membrane proteins. GPCRs are found in a wide range of organisms and are central to a cellular signalling network that regulates many basic physiological processes. They are the focus of a significant amount of current pharmaceutical research because they play a key role in many diseases. However, their tertiary structures remain largely unsolved. The methods described in this paper use only primary sequence information to make their predictions. We compare a simple nearest neighbor approach (BLAST), methods based on multiple alignments generated by a statistical profile Hidden Markov Model (HMM), and methods, including Support Vector Machines (SVMs), that transform protein sequences into fixed-length feature vectors. Results: The last is the most computationally expensive method, but our experiments show that, for those interested in annotation-quality classification, the results are worth the effort. In two-fold cross-validation experiments testing recognition of GPCR subfamilies that bind a specific ligand (such as a histamine molecule), the errors per sequence at the Minimum Error Point (MEP) were 13.7 SVMs, 17.1 SVM classification, 25.5 and 49 Kernel Nearest Neighbor (kernNN). The percentage of true positives recognized before the first false positive was 65 both SVM methods, 13 for kernNN. Availability: We have set up a web server for GPCR subfamily classification based on hierarchical multi-class SVMs at http://www.soe.ucsc.edu/research/compbio/gpcr-subclass. By scanning predicted peptides found in the human genome with the SVMtree server, we have identified a large number of genes that encode GPCRs. A list of our predictions for human GPCRs is available at http://www.soe.ucsc.edu/research/compbio/gpcr·hg/class·results. We also provide suggested subfamily classification for 18 sequences previously identified as unclassified Class A (rhodopsin-like) GPCRs in GPCRDB (Horn et al. , Nucleic Acids Res. , 26, 277?281, 1998), available at http://www.soe.ucsc.edu/research/compbio/gpcr/classA·unclassified/

Keywords: fisher-kernel sequence-classification biosvm
[Kandola2002On] J. Kandola, J. Shawe-Taylor, and N. Cristianini. On the application of diffusion kernel to text data. Technical report, Neurocolt, 2002. NeuroCOLT Technical Report NC-TR-02-122. [ bib | .html | .ps.gz ]
[Guyon2002Gene] I. Guyon, J. Weston, S. Barnhill, and V. Vapnik. Gene selection for cancer classification using support vector machines. Mach. Learn., 46(1/3):389-422, Jan 2002. [ bib | .pdf | .pdf ]
DNA micro-arrays now permit scientists to screen thousands of genes simultaneously and determine whether those genes are active, hyperactive or silent in normal or cancerous tissue. Because these new micro-array devices generate bewildering amounts of raw data, new analytical methods must be developed to sort out whether cancer tissues have distinctive signatures of gene expression over normal tissues or other types of cancer tissues. In this paper, we address the problem of selection of a small subset of genes from broad patterns of gene expression data, recorded on DNA micro-arrays. Using available training examples from cancer and normal patients, we build a classifier suitable for genetic diagnosis, as well as drug discovery. Previous attempts to address this problem select genes with correlation techniques. We propose a new method of gene selection utilizing Support Vector Machine methods based on Recursive Feature Elimination (RFE). We demonstrate experimentally that the genes selected by our techniques yield better classification performance and are biologically relevant to cancer. In contrast with the baseline method, our method eliminates gene redundancy automatically and yields better and more compact gene subsets. In patients with leukemia our method discovered 2 genes that yield zero leave-one-out error, while 64 genes are necessary for the baseline method to get the best result (one leave-one-out error). In the colon cancer database, using only 4 genes our method is 98% accurate, while the baseline method is only 86% accurate.

Keywords: biosvm
[Bao2002Identifying] L. Bao and Z. Sun. Identifying genes related to drug anticancer mechanisms using support vector machine. FEBS Lett., 521:109-114, 2002. [ bib | .html | .pdf ]
In an effort to identify genes related to the cell line chemosensitivity and to evaluate the functional relationships between genes and anticancer drugs acting by the same mechanism, a supervised machine learning approach called support vector machine was used to label genes into any of the five predefined anticancer drug mechanistic categories. Among dozens of unequivocally categorized genes, many were known to be causally related to the drug mechanisms. For example, a few genes were found to be involved in the biological process triggered by the drugs (e.g. DNA polymerase epsilon was the direct target for the drugs from DNA antimetabolites category). DNA repair-related genes were found to be enriched for about eight-fold in the resulting gene set relative to the entire gene set. Some uncharacterized transcripts might be of interest in future studies. This method of correlating the drugs and genes provides a strategy for finding novel biologically significant relationships for molecular pharmacology.

Keywords: biosvm microarray
[Bach2002Kernel] F.R. Bach and M.I. Jordan. Kernel independent component analysis. J. Mach. Learn. Res., 3:1-48, 2002. [ bib | .html | .pdf ]
[Andrews2002Multiple] S. Andrews, T. Hofmann, and I. Tsochantaridis. Multiple Instance Learning with Generalized Support Vector Machines. In Proceedings of the Eighteenth National Conference on Artificial Intelligence, pages 943-944. American Association for Artificial Intelligence, 2002. [ bib ]
Keywords: kernel-theory
[Wolf2003Learning] L. Wolf and A. Shashua. Learning over Sets using Kernel Principal Angles. J. Mach. Learn. Res., 4:913-931, 2003. [ bib | .html ]
Keywords: kernel-theory
[Ramon2003Expressivity] J. Ramon and T. Gärtner. Expressivity versus efficiency of graph kernels. In T. Washio and L. De Raedt, editors, Proceedings of the First International Workshop on Mining Graphs, Trees and Sequences, pages 65-74, 2003. [ bib ]
Keywords: kernel-theory chemoinformatics
[Leslie2003Mismatch] C. Leslie, E. Eskin, J. Weston, and W.S. Noble. Mismatch String Kernels for SVM Protein Classification. In Suzanna Becker, Sebastian Thrun, and Klaus Obermayer, editors, Advances in Neural Information Processing Systems 15. MIT Press, 2003. [ bib | .pdf | .pdf ]
Keywords: biosvm
[Gartner2003Survey] T. Gärtner. A Survey of Kernels for Structured Data. SIGKDD Explor. Newsl., 5(1):49-58, 2003. [ bib | DOI ]
Keywords: kernel-theory
[Tsuda2004Learning] K. Tsuda and W.S. Noble. Learning kernels from biological networks by maximizing entropy. Bioinformatics, 20:i326-i333, 2004. [ bib | DOI | http | .pdf ]
Motivation: The diffusion kernel is a general method for computing pairwise distances among all nodes in a graph, based on the sum of weighted paths between each pair of nodes. This technique has been used successfully, in conjunction with kernel-based learning methods, to draw inferences from several types of biological networks. Results: We show that computing the diffusion kernel is equivalent to maximizing the von Neumann entropy, subject to a global constraint on the sum of the Euclidean distances between nodes. This global constraint allows for high variance in the pairwise distances. Accordingly, we propose an alternative, locally constrained diffusion kernel, and we demonstrate that the resulting kernel allows for more accurate support vector machine prediction of protein functional classifications from metabolic and protein?protein interaction networks. Availability: Supplementary results and data are available at noble.gs.washington.edu/proj/maxent

Keywords: learning-kernel graph-kernel biosvm
[Lanckriet2004Learning] G.R.G. Lanckriet, N. Cristianini, P. Bartlett, L. El Ghaoui, and M.I. Jordan. Learning the kernel matrix with semidefinite programming. J. Mach. Learn. Res., 5:27-72, 2004. [ bib | .html | .pdf ]
[Jebara2004Probability] T. Jebara, R. Kondor, and A. Howard. Probability Product Kernels. J. Mach. Learn. Res., 5:819-844, 2004. [ bib | .html ]
Keywords: kernel-theory
[Horvath2004Cyclic] T. Horváth, T. Gärtner, and S. Wrobel. Cyclic pattern kernels for predictive graph mining. In Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining, pages 158-167, New York, NY, USA, 2004. ACM Press. [ bib | DOI ]
Keywords: chemoinformatics kernel-theory
[Cuturi2005Semigroupa] M. Cuturi, K. Fukumizu, and J.-P. Vert. Semigroup kernels on measures. J. Mach. Learn. Res., 6:1169-1198, 2005. [ bib | .html | .pdf ]
Keywords: kernel-theory
[Borgwardt2005Shortest-Path] Karsten M. Borgwardt and Hans-Peter Kriegel. Shortest-path kernels on graphs. In ICDM '05: Proceedings of the Fifth IEEE International Conference on Data Mining, pages 74-81, Washington, DC, USA, 2005. IEEE Computer Society. [ bib | DOI | .pdf ]
Keywords: chemoinformatics kernel-theory
[Mahe2006pharmacophorea] P. Mahé, L. Ralaivola, V. Stoven, and J.-P. Vert. The pharmacophore kernel for virtual screening with support vector machines. Technical Report Technical Report HAL:ccsd-00020066, Ecole des Mines de Paris, march 2006. [ bib | http ]
Keywords: chemoinformatics kernel-theory
[Mahe2006Graph] P. Mahé and J.-P. Vert. Graph kernels based on tree patterns for molecules. Technical Report ccsd-00095488, HAL, September 2006. [ bib | http ]
Keywords: chemoinformatics kernel-theory
[Kim2008Robust] J. S. Kim and C. Scott. Robust kernel density estimation. In Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing ICASSP 2008, pages 3381-3384, 2008. [ bib | DOI | http | .pdf ]
Keywords: kernelbook

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