Titelangaben
Wirsching, Günther:
Semirings Modeling Confidence and Uncertainty in Speech Recognition.
Eichstätt, 2011. - 5 S.
Volltext
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Kurzfassung/Abstract
In automatic speech recognition, the confidence in a recognition result, i.e., the "degree of belief that a user uttered a specific phrase", can be computed as Bayesian posterior probability of the specific phrase, given a language model defining the Bayesian prior, and the observed utterance.
This paper studies the mathematical structures of this confidence measure and connects it to a reasonable measure for uncertainty. A thorough analysis of logical operations leads to semiring structures for these measures. The two arising semirings turn out to be isomorphic, and also isomorphic to the well-known max-plus algebra. It is proved that, for any two of these semirings, the set of semiring isomorphisms between them is a one-parameter family.
Weitere Angaben
Publikationsform: | Preprint, Working paper, Diskussionspapier |
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Schlagwörter: | Speech recognition; logical x-or; logical and; idempotent semiring; commutative semiring; max-plus algebra; semiring isomorphism |
Institutionen der Universität: | Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Wissenschaftliches Rechnen/Informatik |
Titel an der KU entstanden: | Ja |
Eingestellt am: | 10. Jan 2011 18:27 |
Letzte Änderung: | 10. Aug 2017 13:40 |
URL zu dieser Anzeige: | http://edoc.ku-eichstaett.de/6083/ |