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A new approach to regression regulariza-tion called the Pairwise Elastic Net is proposed. Like the Elastic Net, it simultaneously performs automatic variable selection and continuous shrinkage. In addition, the Pairwise Elastic Net encourages the grouping of strongly correlated predictors based on a pairwise similarity measure. We give examples of how the(More)
We investigate connections between the generalized lasso and the standard lasso problem. We show by an efficient direct construction, that the generalized lasso problem is reducible to a subspace constrained lasso. We then derive the dual of the subspace constrained lasso. This dual problem can be projected to the dual of a standard lasso problem with a(More)
We propose a novel collaborative denoising scheme for multi-subject fMRI data. The scheme assumes that subjects experience a common, synchronous stimulus and uses the across-subject shared response structure to jointly denoise each subject's fMRI response along the spatial or voxel domain. Denoising is accomplished by learning subject-specfic orthonormal(More)
Diagnosis in environmental medicine only differs from the conventional medical diagnosis in a more detailed expositional evaluation on the basis of a respectively expanded anamnesis and a possible local visit, a surrounding examination as well as a so-called biological monitoring. Thus, the essential element of the "diagnosis" in environmental medicine(More)
Outpatient department and advice centres for environmental medicine were established in the late eighties in Germany. Most of these institutions focus on patient-care, whereas scientific questions have only been dealt with randomely. Thus the evaluation of applied methods and procedures is not satisfactory at present. Patients suffering from(More)
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