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The experimental setup comprises a quantum cascade laser, which emits in a pulsed mode with a peak power of up to 150\u2009mW in the spectral range of 5.3\u201312.8\u2009<jats:italic>\u03bc<\/jats:italic>m (780\u20131890\u2009cm<jats:sup>\u22121<\/jats:sup>), and a Herriott multipass gas cell with a specific optical path length of 76\u2009m. Using this setup, spectra of exhaled breath in the mid\u2010infrared range were obtained from 165 volunteers, including healthy individuals, patients with T1DM, asthma, and pneumonia. The study proposes a hybrid approach for classifying these spectra, utilizing a variational autoencoder for dimensionality reduction and a support vector machine method for classification. 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