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Bayes risk

On Bayes Risk Lower Bounds

On Bayes Risk Lower Bounds

... on Bayes risk lower ...the Bayes risk lower bounds, it only applies to weighted quadratic loss functions (as its proof relies on Cauchy-Schwarz inequality) and requires the underlying Fisher ...

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Optimal interference range for minimum Bayes risk in binomial and Poisson wireless networks

Optimal interference range for minimum Bayes risk in binomial and Poisson wireless networks

... the Bayes risk under binomial point process (BPP) and Poisson point process (PPP), ...the Bayes risk, we provide the equation to achieve the optimal interference range for minimum Bayes ...

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Minimum Bayes Risk Decoding for Statistical Machine Translation

Minimum Bayes Risk Decoding for Statistical Machine Translation

... We present Minimum Bayes-Risk (MBR) de- coding for statistical machine translation. This statistical approach aims to minimize expected loss of translation errors under loss functions that measure ...

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Mixability is Bayes Risk Curvature Relative to Log Loss

Mixability is Bayes Risk Curvature Relative to Log Loss

... Mixability of a loss characterizes fast rates in the online learning setting of prediction with ex- pert advice. The determination of the mixability constant for binary losses is straightforward but opaque. In the binary ...

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Minimum Bayes Risk based Answer Re ranking for Question Answering

Minimum Bayes Risk based Answer Re ranking for Question Answering

... This paper presents two minimum Bayes risk (MBR) based Answer Re-ranking (MBRAR) approaches for the question answering (QA) task. The first approach re-ranks single QA system’s outputs by using a ...

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Neural Machine Translation by Minimising the Bayes risk with Respect to Syntactic Translation Lattices

Neural Machine Translation by Minimising the Bayes risk with Respect to Syntactic Translation Lattices

... minimum Bayes-risk de- coding for ...the Bayes-risk of the trans- lation according the SMT ...integrate risk estimation into the NMT decoder which is suitable for word-level as well as ...

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Minimum Bayes Risk Word Alignments of Bilingual Texts

Minimum Bayes Risk Word Alignments of Bilingual Texts

... We present Minimum Bayes-Risk word alignment for machine translation. This statistical, model-based approach attempts to minimize the expected risk of align- ment errors under loss functions that ...

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Fluency Constraints for Minimum Bayes Risk Decoding of Statistical Machine Translation Lattices

Fluency Constraints for Minimum Bayes Risk Decoding of Statistical Machine Translation Lattices

... Fluency Constraints for Minimum Bayes Risk Decoding of Statistical Machine Translation Lattices Proceedings of the 23rd International Conference on Computational Linguistics (Coling 2010), pages 71?79[.] ...

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Efficient Minimum Error Rate Training and Minimum Bayes Risk Decoding for Translation Hypergraphs and Lattices

Efficient Minimum Error Rate Training and Minimum Bayes Risk Decoding for Translation Hypergraphs and Lattices

... Statistical Machine Translation (SMT) systems have improved considerably by directly using the error criterion in both training and decoding. By doing so, the system can be optimized for the translation task instead of a ...

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Efficient Path Counting Transducers for Minimum Bayes Risk Decoding of Statistical Machine Translation Lattices

Efficient Path Counting Transducers for Minimum Bayes Risk Decoding of Statistical Machine Translation Lattices

... Shankar Kumar, Wolfgang Macherey, Chris Dyer, and Franz Och. 2009. Efficient minimum error rate training and minimum bayes-risk decoding for trans- lation hypergraphs and lattices. In Proceedings of the ...

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Mixture Model based Minimum Bayes Risk Decoding using Multiple Machine Translation Systems

Mixture Model based Minimum Bayes Risk Decoding using Multiple Machine Translation Systems

... The rest of the paper is organized as follows: In Section 2, we first review traditional MBR decoding method and summarize various search spaces that can be utilized by an MBR decoder. Then, we describe how a mixture ...

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PAC-Bayes Risk Bounds for Stochastic Averages and Majority Votes of Sample-Compressed Classifiers

PAC-Bayes Risk Bounds for Stochastic Averages and Majority Votes of Sample-Compressed Classifiers

... the risk bound when classifiers are also described by their compression ...smaller risk bound than any such single (deterministic) sample-compressed ...PAC-Bayes risk bound reduces to a bound ...

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Minimum Bayes risk System Combination

Minimum Bayes risk System Combination

... minimum Bayes risk system combination, a technique that unifies these two approaches by learning a consensus trans- lation over multiple underlying component ...

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Generalized Minimum Bayes Risk System Combination

Generalized Minimum Bayes Risk System Combination

... Minimum Bayes Risk (MBR) is a theoretically- elegant decision rule that has been used for single- system decoding and system combination in ma- chine translation ...in Bayes deci- sion theory (Duda ...

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Probabilistic Models of Nonprojective Dependency Trees

Probabilistic Models of Nonprojective Dependency Trees

... minimum Bayes-risk posterior scores, and the latter were consistently better (though this always under-performed optimal spanning-tree de- coding, ...minimum Bayes-risk decoding is a way to ...

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Emergency decision model of coalmine sudden gas events based on bayes theory

Emergency decision model of coalmine sudden gas events based on bayes theory

... Significance of practical application: Empirical decision dealing with gas emergency event is on the basis of collection and analysis of relevant information. After gas outburst is found in the 3rd level air intake area, ...

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An improved Bayes empirical Bayes estimator

An improved Bayes empirical Bayes estimator

... original Bayes estimator for more general situations than those of the exponential families- conjugate prior combination, showing a wider applicability of the proposed ...

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Application of Bayes Compressed Sensing in Image rocessing

Application of Bayes Compressed Sensing in Image rocessing

... hierarchical Bayes learning method of image compression sparse representation was proposed, and a nonparametric hierarchical Bayes mixed factor model under Dirichle process distribution was established ...

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Dependency Sensitive Convolutional Neural Networks for Modeling Sentences and Documents

Dependency Sensitive Convolutional Neural Networks for Modeling Sentences and Documents

... Naive Bayes and their ...Naive Bayes with unigram features(Socher et al., 2013) NBSVM-bi: Naive Bayes SVM and Multinomial Naive Bayes with bigrams (Wang and Man- ning, 2012) SVM S : SVM with ...

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Measuring the Systematic Risk of IPO’s Using Empirical Bayes Estimates in the Thinly Traded Istanbul Stock Exchange

Measuring the Systematic Risk of IPO’s Using Empirical Bayes Estimates in the Thinly Traded Istanbul Stock Exchange

... Empirical Bayes estimates are used with sector information as the ...Empirical Bayes method and the ordinary Bayesian method is that in the Empirical Bayes method we refer to the data set itself to ...

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