SCIENCE CHINA Information Sciences, Volume 64 , Issue 3 : 130104(2021) https://doi.org/10.1007/s11432-020-3118-7

## Crowdsourcing aggregation with deep Bayesian learning

• AcceptedJul 30, 2020
• PublishedFeb 7, 2021
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### Acknowledgment

This work was supported by Fundamental Research Funds for the Central Universities (Grant No. NJ20190- 10), National Natural Science Foundation of China (Grant No. 61906089), Jiangsu Province Basic Research Program (Grant No. BK20190408), and China Postdoc Science Foundation (the First Pre-station Special Grant).

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• Figure 1

The plate notation for our proposed BayesDGC.

• Figure 2

(Color online) The positive instance fraction of each label for (a) dataset1 and (b) dataset2.

• Figure 3

(Color online) Accuracy results of all methods on $22$ real-word datasets.

• Figure 4

(Color online) F1 score results of all methods on $22$ real-word datasets.

•

Algorithm 1 Bayesian deep generative crowdsourcing (BayesDGC)

Input: example features $\X=\{~\x_1,\ldots,\x_N\}$, crowd annotations $\L~\in~\{0,1,\ldots,K\}^{N\times~W}$, initial value for the global variational parameters $\bet_{\bTheta}$ and neural network parameters $\bgamma$.

Repeat:

$\;\;$ Given $\bet_{\bTheta},\bgamma$, update the true label's natural parameter $\bet^{\ast}_{\y_i}$ for each example using Eq. (14);

$\;\;$ Given estimated $\bet^{\ast}_{\y_i}$, compute the gradient of $\bet_{\bTheta}$ using Eqs. (17) and (18) and $\bgamma$ via DNN back propagation, then conduct SGD updating for them;

Until the lower bound $\mathcal{J}(\bet_{\bTheta},~\bgamma)$ converges or the maximum number of epochs is reached.

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