兩分布間距離的度量:MMD、KL散度、Wasserstein 對比


MMD:最大均值差異

Wasserstein距離[1]

實驗

數據來源

Amazon review benchmark dataset. The Amazon review dataset is one of the most widely used benchmarks for domain adaptation and sentiment analysis. It is collected from product reviews from Amazon.com and contains four types (domains), namely books (B), DVDs (D), electronics (E) and kitchen appliances (K). For each domain, there are 2,000 labeled reviews and approximately 4,000 unlabeled reviews (varying slightly across domains) and the classes are balanced. In our experiments, for easy computation, we follow (Chen et al. 2012) to use the 5,000 most frequent terms of unigrams and bigrams as the input and totally A24 = 12 adaptation tasks are constructed.

Office-Caltech object recognition dataset. The Office-Caltech dataset released by (Gong et al. 2012) is comprised of 10 common categories shared by the Office-31 and Caltech-256 datasets. In our experiments, we construct 12 tasks across 4 domains: Amazon (A), Webcam (W), DSLR (D) and Caltech (C), with 958, 295, 157 and 1,123 image samples respectively. In our experiments, Decaf features are used as the input. Decaf features (Donahue et al. 2014) are the 4096-dimensional FC7-layer hidden activations extracted by the deep convolutional neural network AlexNet.

實驗結果

 

從上面結果可知,Wasserstein距離基本比MMD的效果好,但MMD也在個別情況下優於Wasserstein距離。

 

參考文獻

[1] Shen J, Qu Y, Zhang W, et al. Wasserstein Distance Guided Representation Learning for Domain Adaptation[J]. AAAI-2017.

 

轉自:http://www.pianshen.com/article/5980165769/


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