TY - JOUR A1 - Conrad, Tim A1 - Genzel, Martin A1 - Cvetkovic, Nada A1 - Wulkow, Niklas A1 - Vybiral, Jan A1 - Kutyniok, Gitta A1 - Schütte, Christof T1 - Sparse Proteomics Analysis – a compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data JF - BMC Bioinformatics N2 - Motivation: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often interested how MS spectra dier between patients of different classes, for example spectra from healthy patients vs. spectra from patients having a particular disease. Machine learning algorithms are needed to (a) identify these discriminating features and (b) classify unknown spectra based on this feature set. Since the acquired data is usually noisy, the algorithms should be robust to noise and outliers, and the identied feature set should be as small as possible. Results: We present a new algorithm, Sparse Proteomics Analysis (SPA), based on the theory of Compressed Sensing that allows to identify a minimal discriminating set of features from mass spectrometry data-sets. We show how our method performs on artificial and real-world data-sets. Y1 - 2017 U6 - https://doi.org/10.1186/s12859-017-1565-4 VL - 18 IS - 160 SP - 1 EP - 20 ER - TY - JOUR A1 - Dahlke, S. A1 - Kutyniok, Gitta A1 - Maass, Peter A1 - Sagiv, C. A1 - Stark, H.-G. A1 - Teschke, G. T1 - The Uncertainty Principle Associated with the Continuous Shearlet Transform JF - to appear Y1 - 2006 ER - TY - JOUR A1 - Dahlke, S. A1 - Kutyniok, Gitta A1 - Steidl, G. A1 - Teschke, G. T1 - Shearlet coorbit spaces and associated Banach frames JF - Bericht Nr. 2007-5, Philipps-Universität Marburg Y1 - 2007 ER - TY - GEN A1 - Werner, Axel A1 - Aurzada, Frank A1 - Bley, Andreas A1 - Eisenblätter, Andreas A1 - Geerdes, Hans-Florian A1 - Guillemard, Mijail A1 - Kutyniok, Gitta A1 - Philipp, Friedrich A1 - Raack, Christian A1 - Scheutzow, Michael ED - Deuflhard, Peter ED - Grötschel, Martin ED - Hömberg, Dietmar ED - Horst, Ulrich ED - Kramer, Jürg ED - Mehrmann, Volker ED - Polthier, Konrad ED - Schmidt, Frank ED - Schütte, Christof ED - Skutella, Martin ED - Sprekels, Jürgen T1 - Mathematics for telecommunications T2 - MATHEON - Mathematics for Key Technologies Y1 - 2014 U6 - https://doi.org/10.4171/137 VL - 1 SP - 75 EP - 89 PB - European Mathematical Society ET - EMS Series in Industrial and Applied Mathematics ER -