›› 2019, Vol. 31 ›› Issue (6): 135-143.

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Learning with Proportions Based on LapESVR

Shi Yong1,2,3, Meng Fan1,4, Qi Zhiquan1,2,3   

  1. 1. School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190;
    2. Research Center on Fictitious Economy & Data Science, Chinese Academy of Sciences, Beijing 100190;
    3. Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences, Beijing 100049;
    4. School of Management Science and Engineering, Central University of Finance and Economics, Beijing 100081
  • Received:2017-03-27 Online:2019-06-28 Published:2019-07-08

Abstract:

In big data era, data volume has experienced a significant increase and it is nearly impossible to label all the collected data samples. As a result, weakly labeled data has become dominant in real world applications. Data labeled with class proportions is one of the most important categories in weakly labeled data, which has wide application scenarios but attracts little attention. Existing methods for Learning with Label Proportion Problem (LLP) usually have high complexity and are not efficient to solve large scale problems. In this paper, motivated by LapESVR and InvCal, we propose a novel LLP model named Lap-InvCal, which incorporates the idea of manifold learning into LLP. Extensive experiments demonstrate the high accuracy and speed of Lap-InvCal, indicating the promising potential of Lap-InvCal in handling big data.

Key words: Leaning with Label Proportions, Manifold Learning, Lap-InvCal, LapE