[{"page":"762-766","intvolume":"        23","citation":{"short":"M. Loog, R.P.W. Duin, R. Haeb-Umbach, IEEE Transactions on Pattern Analysis and Machine Intelligence 23 (2001) 762–766.","mla":"Loog, M., et al. “Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 23, no. 7, 2001, pp. 762–66, doi:<a href=\"https://doi.org/10.1109/34.935849\">10.1109/34.935849</a>.","bibtex":"@article{Loog_Duin_Haeb-Umbach_2001, title={Multiclass linear dimension reduction by weighted pairwise Fisher criteria}, volume={23}, DOI={<a href=\"https://doi.org/10.1109/34.935849\">10.1109/34.935849</a>}, number={7}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, author={Loog, M. and Duin, R.P.W. and Haeb-Umbach, Reinhold}, year={2001}, pages={762–766} }","apa":"Loog, M., Duin, R. P. W., &#38; Haeb-Umbach, R. (2001). Multiclass linear dimension reduction by weighted pairwise Fisher criteria. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, <i>23</i>(7), 762–766. <a href=\"https://doi.org/10.1109/34.935849\">https://doi.org/10.1109/34.935849</a>","ieee":"M. Loog, R. P. W. Duin, and R. Haeb-Umbach, “Multiclass linear dimension reduction by weighted pairwise Fisher criteria,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 23, no. 7, pp. 762–766, 2001.","chicago":"Loog, M., R.P.W. Duin, and Reinhold Haeb-Umbach. “Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i> 23, no. 7 (2001): 762–66. <a href=\"https://doi.org/10.1109/34.935849\">https://doi.org/10.1109/34.935849</a>.","ama":"Loog M, Duin RPW, Haeb-Umbach R. Multiclass linear dimension reduction by weighted pairwise Fisher criteria. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. 2001;23(7):762-766. doi:<a href=\"https://doi.org/10.1109/34.935849\">10.1109/34.935849</a>"},"date_updated":"2022-01-06T06:51:11Z","oa":"1","volume":23,"author":[{"first_name":"M.","full_name":"Loog, M.","last_name":"Loog"},{"full_name":"Duin, R.P.W.","last_name":"Duin","first_name":"R.P.W."},{"first_name":"Reinhold","last_name":"Haeb-Umbach","id":"242","full_name":"Haeb-Umbach, Reinhold"}],"doi":"10.1109/34.935849","main_file_link":[{"open_access":"1","url":"https://groups.uni-paderborn.de/nt/pubs/2001/LoDuHa01.pdf"}],"type":"journal_article","status":"public","_id":"11870","department":[{"_id":"54"}],"user_id":"44006","issue":"7","year":"2001","date_created":"2019-07-12T05:29:51Z","title":"Multiclass linear dimension reduction by weighted pairwise Fisher criteria","publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","abstract":[{"lang":"eng","text":"We derive a class of computationally inexpensive linear dimension reduction criteria by introducing a weighted variant of the well-known K-class Fisher criterion associated with linear discriminant analysis (LDA). It can be seen that LDA weights contributions of individual class pairs according to the Euclidean distance of the respective class means. We generalize upon LDA by introducing a different weighting function"}],"keyword":["approximate pairwise accuracy","Bayes error","Bayes methods","error statistics","Euclidean distance","Fisher criterion","linear dimension reduction","linear discriminant analysis","pattern classification","statistical analysis","statistical pattern classification","weighting function"],"language":[{"iso":"eng"}]},{"date_updated":"2023-01-24T10:30:21Z","date_created":"2023-01-24T10:30:14Z","author":[{"last_name":"Flake","full_name":"Flake, Stephan","first_name":"Stephan"},{"full_name":"Geiger, Christian","last_name":"Geiger","first_name":"Christian"},{"last_name":"Müller","full_name":"Müller, Wolfgang","id":"16243","first_name":"Wolfgang"},{"first_name":"Jürgen","full_name":"Ruf, Jürgen","last_name":"Ruf"}],"title":"Customer-Oriented Systems Design through Virtual Prototyps","conference":{"name":"Proceedings Tenth IEEE International Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises"},"doi":"10.1109/ENABL.2001.953425","publication_identifier":{"isbn":["0-7695-1269-0"]},"place":"Cambridge, MA, USA ","year":"2001","citation":{"apa":"Flake, S., Geiger, C., Müller, W., &#38; Ruf, J. (2001). Customer-Oriented Systems Design through Virtual Prototyps. <i>Proceedings of IEEE KMN 2001</i>. Proceedings Tenth IEEE International Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises. <a href=\"https://doi.org/10.1109/ENABL.2001.953425\">https://doi.org/10.1109/ENABL.2001.953425</a>","mla":"Flake, Stephan, et al. “Customer-Oriented Systems Design through Virtual Prototyps.” <i>Proceedings of IEEE KMN 2001</i>, 2001, doi:<a href=\"https://doi.org/10.1109/ENABL.2001.953425\">10.1109/ENABL.2001.953425</a>.","short":"S. Flake, C. Geiger, W. Müller, J. Ruf, in: Proceedings of IEEE KMN 2001, Cambridge, MA, USA , 2001.","bibtex":"@inproceedings{Flake_Geiger_Müller_Ruf_2001, place={Cambridge, MA, USA }, title={Customer-Oriented Systems Design through Virtual Prototyps}, DOI={<a href=\"https://doi.org/10.1109/ENABL.2001.953425\">10.1109/ENABL.2001.953425</a>}, booktitle={Proceedings of IEEE KMN 2001}, author={Flake, Stephan and Geiger, Christian and Müller, Wolfgang and Ruf, Jürgen}, year={2001} }","ieee":"S. Flake, C. Geiger, W. Müller, and J. Ruf, “Customer-Oriented Systems Design through Virtual Prototyps,” presented at the Proceedings Tenth IEEE International Workshop on Enabling Technologies: Infrastructure for Collaborative Enterprises, 2001, doi: <a href=\"https://doi.org/10.1109/ENABL.2001.953425\">10.1109/ENABL.2001.953425</a>.","chicago":"Flake, Stephan, Christian Geiger, Wolfgang Müller, and Jürgen Ruf. “Customer-Oriented Systems Design through Virtual Prototyps.” In <i>Proceedings of IEEE KMN 2001</i>. Cambridge, MA, USA , 2001. <a href=\"https://doi.org/10.1109/ENABL.2001.953425\">https://doi.org/10.1109/ENABL.2001.953425</a>.","ama":"Flake S, Geiger C, Müller W, Ruf J. Customer-Oriented Systems Design through Virtual Prototyps. In: <i>Proceedings of IEEE KMN 2001</i>. ; 2001. doi:<a href=\"https://doi.org/10.1109/ENABL.2001.953425\">10.1109/ENABL.2001.953425</a>"},"_id":"39411","department":[{"_id":"672"}],"user_id":"5786","keyword":["Virtual prototyping","Animation","Collaboration","System analysis and design","Feedback","Application software","Power system modeling","Handicapped aids","Process design","Contracts"],"language":[{"iso":"eng"}],"publication":"Proceedings of IEEE KMN 2001","type":"conference","abstract":[{"text":"Rapid prototyping based on 3D models is well accepted for several applications. This article addresses the application of animated virtual 3D prototypes for the development of computer-based systems supporting early collaboration of the system designer with the external customer. Our methodology seamlessly integrates illustration through 3D animation with the main tasks of computer-based real-time systems development, i.e., implementation and verification. The approach is outlined by the example of the design of a flexible manufacturing system.","lang":"eng"}],"status":"public"},{"volume":2,"author":[{"first_name":"M.","full_name":"Lieb, M.","last_name":"Lieb"},{"first_name":"Reinhold","last_name":"Haeb-Umbach","full_name":"Haeb-Umbach, Reinhold","id":"242"}],"date_created":"2019-07-12T05:29:50Z","oa":"1","date_updated":"2022-01-06T06:51:11Z","doi":"10.1109/ICASSP.2000.859157","main_file_link":[{"open_access":"1","url":"https://groups.uni-paderborn.de/nt/pubs/2000/LiHa00.pdf"}],"title":"LDA derived cepstral trajectory filters in adverse environmental conditions","page":"II1105-II1108 vol.2","intvolume":"         2","citation":{"ieee":"M. Lieb and R. Haeb-Umbach, “LDA derived cepstral trajectory filters in adverse environmental conditions,” in <i>IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)</i>, 2000, vol. 2, pp. II1105-II1108 vol.2.","chicago":"Lieb, M., and Reinhold Haeb-Umbach. “LDA Derived Cepstral Trajectory Filters in Adverse Environmental Conditions.” In <i>IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)</i>, 2:II1105-II1108 vol.2, 2000. <a href=\"https://doi.org/10.1109/ICASSP.2000.859157\">https://doi.org/10.1109/ICASSP.2000.859157</a>.","ama":"Lieb M, Haeb-Umbach R. LDA derived cepstral trajectory filters in adverse environmental conditions. In: <i>IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)</i>. Vol 2. ; 2000:II1105-II1108 vol.2. doi:<a href=\"https://doi.org/10.1109/ICASSP.2000.859157\">10.1109/ICASSP.2000.859157</a>","short":"M. Lieb, R. Haeb-Umbach, in: IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000), 2000, pp. II1105-II1108 vol.2.","mla":"Lieb, M., and Reinhold Haeb-Umbach. “LDA Derived Cepstral Trajectory Filters in Adverse Environmental Conditions.” <i>IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)</i>, vol. 2, 2000, pp. II1105-II1108 vol.2, doi:<a href=\"https://doi.org/10.1109/ICASSP.2000.859157\">10.1109/ICASSP.2000.859157</a>.","bibtex":"@inproceedings{Lieb_Haeb-Umbach_2000, title={LDA derived cepstral trajectory filters in adverse environmental conditions}, volume={2}, DOI={<a href=\"https://doi.org/10.1109/ICASSP.2000.859157\">10.1109/ICASSP.2000.859157</a>}, booktitle={IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)}, author={Lieb, M. and Haeb-Umbach, Reinhold}, year={2000}, pages={II1105-II1108 vol.2} }","apa":"Lieb, M., &#38; Haeb-Umbach, R. (2000). LDA derived cepstral trajectory filters in adverse environmental conditions. In <i>IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)</i> (Vol. 2, pp. II1105-II1108 vol.2). <a href=\"https://doi.org/10.1109/ICASSP.2000.859157\">https://doi.org/10.1109/ICASSP.2000.859157</a>"},"year":"2000","department":[{"_id":"54"}],"user_id":"44006","_id":"11869","language":[{"iso":"eng"}],"keyword":["acoustic echo cancellation algorithms","adverse environmental conditions","automatic speech recognition","cepstral analysis","cepstral features","cepstral mean normalization","command word task","delta-delta features","delta features","echo suppression","error rate reductions","feature vector components","FIR filters","LDA derived cepstral trajectory filters","linear discriminant analysis","long-range feature filters","phone accuracy","real-life room impulse responses","reverberant data","spectral parameters","speech recognition","standard TIMIT phone recognition task"],"publication":"IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2000)","type":"conference","status":"public","abstract":[{"lang":"eng","text":"Amongst several data driven approaches for designing filters for the time sequence of spectral parameters, the linear discriminant analysis (LDA) based method has been proposed for automatic speech recognition. Here we apply LDA-based filter design to cepstral features, which better match the inherent assumption of this method that feature vector components are uncorrelated. Extensive recognition experiments have been conducted both on the standard TIMIT phone recognition task and on a proprietary 130-words command word task under various adverse environmental conditions, including reverberant data with real-life room impulse responses and data processed by acoustic echo cancellation algorithms. Significant error rate reductions have been achieved when applying the novel long-range feature filters compared to standard approaches employing cepstral mean normalization and delta and delta-delta features, in particular when facing acoustic echo cancellation scenarios and room reverberation. For example, the phone accuracy on reverberated TIMIT data could be increased from 50.7\\% to 56.0\\%"}]},{"publication_status":"published","publication_identifier":{"issn":["0022-247X"]},"citation":{"ama":"Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. <i>Journal of Mathematical Analysis and Applications</i>. 1997;209(2):624-634. doi:<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>","ieee":"M. Rösler and M. Voit, “An Uncertainty Principle for Ultraspherical Expansions,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 209, no. 2, pp. 624–634, 1997, doi: <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>.","chicago":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” <i>Journal of Mathematical Analysis and Applications</i> 209, no. 2 (1997): 624–34. <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">https://doi.org/10.1006/jmaa.1997.5386</a>.","apa":"Rösler, M., &#38; Voit, M. (1997). An Uncertainty Principle for Ultraspherical Expansions. <i>Journal of Mathematical Analysis and Applications</i>, <i>209</i>(2), 624–634. <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">https://doi.org/10.1006/jmaa.1997.5386</a>","short":"M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.","mla":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 209, no. 2, Elsevier BV, 1997, pp. 624–34, doi:<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>.","bibtex":"@article{Rösler_Voit_1997, title={An Uncertainty Principle for Ultraspherical Expansions}, volume={209}, DOI={<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>}, number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={1997}, pages={624–634} }"},"page":"624-634","intvolume":"       209","author":[{"last_name":"Rösler","full_name":"Rösler, Margit","id":"37390","first_name":"Margit"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}],"volume":209,"date_updated":"2023-01-26T17:40:26Z","doi":"10.1006/jmaa.1997.5386","type":"journal_article","status":"public","user_id":"93826","department":[{"_id":"555"}],"_id":"40205","extern":"1","issue":"2","year":"1997","date_created":"2023-01-26T08:38:11Z","publisher":"Elsevier BV","title":"An Uncertainty Principle for Ultraspherical Expansions","publication":"Journal of Mathematical Analysis and Applications","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"]}]