---
_id: '11870'
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
author:
- first_name: M.
  full_name: Loog, M.
  last_name: Loog
- first_name: R.P.W.
  full_name: Duin, R.P.W.
  last_name: Duin
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  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>
  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>
  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}
    }'
  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>.'
  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.
  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>.
  short: M. Loog, R.P.W. Duin, R. Haeb-Umbach, IEEE Transactions on Pattern Analysis
    and Machine Intelligence 23 (2001) 762–766.
date_created: 2019-07-12T05:29:51Z
date_updated: 2022-01-06T06:51:11Z
department:
- _id: '54'
doi: 10.1109/34.935849
intvolume: '        23'
issue: '7'
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
main_file_link:
- open_access: '1'
  url: https://groups.uni-paderborn.de/nt/pubs/2001/LoDuHa01.pdf
oa: '1'
page: 762-766
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
status: public
title: Multiclass linear dimension reduction by weighted pairwise Fisher criteria
type: journal_article
user_id: '44006'
volume: 23
year: '2001'
...
---
_id: '39411'
abstract:
- lang: eng
  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.
author:
- first_name: Stephan
  full_name: Flake, Stephan
  last_name: Flake
- first_name: Christian
  full_name: Geiger, Christian
  last_name: Geiger
- first_name: Wolfgang
  full_name: Müller, Wolfgang
  id: '16243'
  last_name: Müller
- first_name: Jürgen
  full_name: Ruf, Jürgen
  last_name: Ruf
citation:
  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>'
  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>'
  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} }'
  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>.
  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>.'
  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.'
conference:
  name: 'Proceedings Tenth IEEE International Workshop on Enabling Technologies: Infrastructure
    for Collaborative Enterprises'
date_created: 2023-01-24T10:30:14Z
date_updated: 2023-01-24T10:30:21Z
department:
- _id: '672'
doi: 10.1109/ENABL.2001.953425
keyword:
- Virtual prototyping
- Animation
- Collaboration
- System analysis and design
- Feedback
- Application software
- Power system modeling
- Handicapped aids
- Process design
- Contracts
language:
- iso: eng
place: 'Cambridge, MA, USA '
publication: Proceedings of IEEE KMN 2001
publication_identifier:
  isbn:
  - 0-7695-1269-0
status: public
title: Customer-Oriented Systems Design through Virtual Prototyps
type: conference
user_id: '5786'
year: '2001'
...
---
_id: '11869'
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\%
author:
- first_name: M.
  full_name: Lieb, M.
  last_name: Lieb
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  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>'
  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>
  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} }'
  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>.
  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.
  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>.
  short: 'M. Lieb, R. Haeb-Umbach, in: IEEE International Conference on Acoustics,
    Speech, and Signal Processing (ICASSP 2000), 2000, pp. II1105-II1108 vol.2.'
date_created: 2019-07-12T05:29:50Z
date_updated: 2022-01-06T06:51:11Z
department:
- _id: '54'
doi: 10.1109/ICASSP.2000.859157
intvolume: '         2'
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
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://groups.uni-paderborn.de/nt/pubs/2000/LiHa00.pdf
oa: '1'
page: II1105-II1108 vol.2
publication: IEEE International Conference on Acoustics, Speech, and Signal Processing
  (ICASSP 2000)
status: public
title: LDA derived cepstral trajectory filters in adverse environmental conditions
type: conference
user_id: '44006'
volume: 2
year: '2000'
...
---
_id: '40205'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209
    (1997) 624–634.
date_created: 2023-01-26T08:38:11Z
date_updated: 2023-01-26T17:40:26Z
department:
- _id: '555'
doi: 10.1006/jmaa.1997.5386
extern: '1'
intvolume: '       209'
issue: '2'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 624-634
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: An Uncertainty Principle for Ultraspherical Expansions
type: journal_article
user_id: '93826'
volume: 209
year: '1997'
...