Method of determining model-specific factors for pattern recognition, in particular for speech patterns
First Claim
1. A method for modelling an association distribution for a plurality of patterns, said method comprising:
- receiving a plurality of association models indicating various measuring values pj(k|x), j=1 . . . M;
combining said plurality of association models in accordance with a set of weight factors to produce a log/linear association distribution;
joining a normalization quantity to said log/linear association distribution to produce a compound association distribution; and
optimizing said set of weight factors to minimize a detected error rate of an actual assigning to said compound association distribution, said optimizing of said set of weight factors being effected in a least squares method between an actual discriminant function and an ideal discriminant function, said actual discriminant function resulting from said compound association distribution, and said ideal discriminant function expressed on a basis of an error rate as smoothed through representing said error rate as a second degree curve in an interval (−
B,A); and
expressing a first weight factor Λ
of said set of weight factors in a closed expression Λ
=Q−
1 P, wherein said first weight factor Λ
is normalized through a constraining Σ
λ
j=1, said Q is an autocorrelation matrix of a set of discriminant functions of said plurality of association models as extended by an addition of a first normalization item, and said P is an correlation vector between said error rate, said actual discriminant function and said ideal discriminant function as extended by an addition of a second normalization item.
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Accused Products
Abstract
A method for recognizing a pattern that comprises a set of physical stimuli, said method comprising the steps of:
providing a set of training observations and through applying a plurality of association models ascertaining various measuring values pj(k|x), j=1 . . . M, that each pertain to assigning a particular training observation to one or more associated pattern classes;
setting up a log/linear association distribution by combining all association models of the plurality according to respective weight factors, and joining thereto a normalization quantity to produce a compound association distribution;
optimizing said weight factors for thereby minimizing a detected error rate of the actual assigning to said compound distribution;
recognizing target observations representing a target pattern with the help of said compound distribution.
35 Citations
10 Claims
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1. A method for modelling an association distribution for a plurality of patterns, said method comprising:
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receiving a plurality of association models indicating various measuring values pj(k|x), j=1 . . . M;
combining said plurality of association models in accordance with a set of weight factors to produce a log/linear association distribution;
joining a normalization quantity to said log/linear association distribution to produce a compound association distribution; and
optimizing said set of weight factors to minimize a detected error rate of an actual assigning to said compound association distribution, said optimizing of said set of weight factors being effected in a least squares method between an actual discriminant function and an ideal discriminant function, said actual discriminant function resulting from said compound association distribution, and said ideal discriminant function expressed on a basis of an error rate as smoothed through representing said error rate as a second degree curve in an interval (−
B,A); and
expressing a first weight factor Λ
of said set of weight factors in a closed expression Λ
=Q−
1 P, whereinsaid first weight factor Λ
is normalized through a constraining Σ
λ
j=1,said Q is an autocorrelation matrix of a set of discriminant functions of said plurality of association models as extended by an addition of a first normalization item, and said P is an correlation vector between said error rate, said actual discriminant function and said ideal discriminant function as extended by an addition of a second normalization item. - View Dependent Claims (2, 3, 4, 5)
receiving a set of training observations, wherein each association model of said plurality of association models pertains to assigning a particular training observation of said set of training observations to at least one associated pattern class.
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3. The method of claim 1, wherein
each association model of said plurality of association models is a first probability model, and said compound association distribution is a second probability model for associating. -
4. The method of claim 3, wherein
said first probability model is at least one model from a set of models including a language model, an acoustic model, a mllr adaption model, a unigram model, a distance-1 bigram model, a pentaphone model, and a wsj-model, and said second probability model is at least one model from a set of models. -
5. The method of claim 1, further comprising:
recognizing a set of target observations representing a target pattern with a help of said compound association distribution.
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6. A system for modelling an association distribution for a plurality of patterns, said system comprising:
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a storage means for storing a plurality of association models indicating various measuring values pj(k|x), j=1 . . . M;
a first processing means for combining said plurality of association models in accordance with a set of weight factors to produce a log/linear association distribution;
a second processing means for joining a normalization quantity to said log/linear association distribution to produce a compound association distribution;
a third processing means for optimizing said set of weight factors to minimize a detected error rate of an actual assigning to said compound association distribution, said optimizing of said set of weight factors being effected in a least squares system between an actual discriminant function and an ideal discriminant function, said actual discriminant function resulting from said compound association distribution, and said ideal discriminant function expressed on a basis of an error rate as smoothed through representing said error rate as a second degree curve in an interval (−
B,A); and
a fourth processing means for expressing a first weight factor Λ
of said set of weight factors in a closed expression Λ
=Q−
1P, whereinsaid first weight factor Λ
is normalized through a constraining Σ
λ
j=1,said Q is an autocorrelation matrix of a set of discriminant functions of said plurality of association models as extended by an addition of a first normalization item, and said P is an correlation vector between said error rate, said actual discriminant function and said ideal discriminant function as extended by an addition of a second normalization item. - View Dependent Claims (7, 8, 9, 10)
a pickup means for receiving a set of training observations, where each association model of said plurality of association models pertains to assigning a particular training observation of said set of training observations to at least one associated pattern class.
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8. The system of claim 6, wherein
each association model of said plurality of association models is a first probability model, and said compound association distribution is a second probability model for associating. -
9. The system of claim 8, wherein
said first probability model is at least one model from a set of models including a language model, an acoustic model, a mllr adaption model, a unigram model, a distance-1 bigram model, a pentaphone model, and a wsj-model, and said second probability model is at least one model from a set of models. -
10. The system of claim 6, further comprising:
a recognizing means for recognizing a set of target observations representing a target pattern with a help of said compound association distribution.
Specification