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Error approximation and minimum phone error acoustic model estimation Matthew Gibson and Thomas Hain. Audio, Speech, and Language Processing, IEEE Transactions . Presenter : Pei- ning Chen NTNU CSIE SLP Lab. Outline . Introduction Minimum Phone Error Theory Error Approximation - PowerPoint PPT Presentation
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Error approximation and minimum phone erroracoustic model estimation
Matthew Gibson and Thomas Hain
Presenter : Pei-ning ChenNTNU CSIE SLP Lab
Audio, Speech, and Language Processing, IEEE Transactions
Outline • Introduction • Minimum Phone Error Theory• Error Approximation• Limitation of Baseline Approximation Error• Alternative Error Approximations• Experiments• Error Approximation Analysis• Summary and Future Work
Introduction • Acoustic models estimated using the MPE
technique have displayed significant classification performance improvements over ML-estimated models.
• This paper introduces a novel error approximation method and demonstrates how it addresses limitations of a previously used technique, and the method is found to yield significant performance improvements when deployed for MPE acoustic model estimation.
MPE
• The MPE criterion
• : Levenshtein distance
R
r
rMNr
N
WwMPE wwLowp
RR
N1111 ˆ,,|1
1
rMN wwL 11 ˆ,
Error Approximation
• Alignment-based error approximation:
different z and q if,1
label same z and q if,21max
zqezqe
qAz
label reference goverlappin : z
q with overlaps which z of proportion theis, zqe
• A substitution example:
• Swap the reference and the hypothesis:
• A insertion example:
• A deletion example:
Limitations of baseline
Frame Error Normalisation
• With deletion
• With insertion
Using Multiple Reference Alignments
• MSNFR and AMSNFR
Analysis • S : substitution, I : insertion, D : deletion
• Reference with silence
Evaluation results• Unsmoothed
I-smoothing
Summary and Future work
• Significant improvements over the previously introduced error approximation when the symmetrically normalised frame error approximation is deployed for MPE acoustic parameter re-estimation.
• Future work should compare use of the approximate methods introduced in this paper with lattice manipulation approaches and the minimum phone frame error.