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About Chuck Cosby
Expertise
I can answer questions about speech recognition and natural language understanding. I am particulary strong in knowedge based natural langauge techniques. I cannot answer questions about robotics, nueral nets, prolog, or vision recognition - just speech and natural language.

Experience
I have spent 25 years developing natural language software products. I have never developed speech systems, but I have developed sophisticated interfaces from natural language to speech. I have been working with speech recognition systems also for 25 years.

 
   

You are here:  Experts > Science > Artificial Intelligence > Artificial Intelligence > orthogonality

Artificial Intelligence - orthogonality


Expert: Chuck Cosby - 4/11/2009

Question
Hi
i want to know about the orthogonality,could you plz explain it to me with an example?
i search through internet but unfortunately it doesn't help,and i still feel confusing about the function of orthogonality

Thanx
Bita

Answer
"In statistics and signal processing, the orthogonality principle is a necessary and sufficient condition for the optimality of a Bayesian estimator. Loosely stated, the orthogonality principle says that the error vector of the optimal estimator (in a mean square error sense) is orthogonal to any possible estimator. The orthogonality principle is most commonly stated for linear estimators, but more general formulations are possible. Since the principle is a necessary and sufficient condition for optimality, it can be used to find the minimum mean square error estimator."

I got this paragragh from Wikipedia.  i don't use this term as it seems to be related to speech recogintion and my area is natural language processing.

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