This dataset provides a synthetic collection of breath-based volatile organic compound (VOC) measurements for the non-invasive detection of cancer using machine learning techniques. The data were generated based on reported concentration ranges of clinically relevant VOC biomarkers, including acetone, isoprene, ethanol, formaldehyde, benzene, toluene, and methane, which are known to be associated with metabolic alterations in cancer patients. In addition to VOC features, demographic variables such as age, sex, and smoking status are included to enhance classification performance.
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We use the Ucidata1 dataset for this Huber problem.,the matrix A := (a1,a2,...,aS) ∈ Rn×S and the vector b :=(b1,b2,...,bS)T∈RS.