arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.07203cs.CV
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具有先验知识的多线性压缩学习

Multilinear Compressive Learning with Prior Knowledge

Tampere University(坦佩雷大学);Aarhus University(奥胡斯大学)

Dat Thanh Tran, Moncef Gabbouj, Alexandros Iosifidis

摘要:

最近提出的多线性压缩学习(MCL)框架将多线性压缩传感和机器学习结合到一个端到端系统中,该系统在设计传感和特征合成组件时考虑信号的多维结构。MCL背后的关键思想是假设存在一个张量子空间,它可以从下游学习任务的信号中捕获基本特征。因此,找到这样一个有区别的张量子空间并优化系统以将信号投影到该数据流形上的能力在多线性压缩学习中起着重要作用。在本文中,我们提出了一种新的解决方案,以解决上述两个要求,即,如何找到感兴趣的信号是高度可分的那些张量子空间?以及如何优化传感和特征合成组件,以将原始信号转换为第一个问题中找到的数据流形?在我们的建议中,通过在推理任务上训练非线性压缩学习系统来发现高质量的数据流形。然后,其感兴趣的数据流形的知识通过多阶段监督训练逐渐转移到MCL组件,其中监督信息编码压缩测量、合成特征和预测应该是什么样的。所提出的知识转移算法还带有半监督自适应,使压缩学习模型能够有效地利用未标记的数据。大量的实验表明,所提出的知识转移方法可以有效地训练MCL模型压缩感知和合成更好的功能,提高性能的学习任务,特别是当学习任务的复杂性增加。

英文摘要:

The recently proposed Multilinear Compressive Learning (MCL) framework combines Multilinear Compressive Sensing and Machine Learning into an end-to-end system that takes into account the multidimensional structure of the signals when designing the sensing and feature synthesis components. The key idea behind MCL is the assumption of the existence of a tensor subspace which can capture the essential features from the signal for the downstream learning task. Thus, the ability to find such a discriminative tensor subspace and optimize the system to project the signals onto that data manifold plays an important role in Multilinear Compressive Learning. In this paper, we propose a novel solution to address both of the aforementioned requirements, i.e., How to find those tensor subspaces in which the signals of interest are highly separable? and How to optimize the sensing and feature synthesis components to transform the original signals to the data manifold found in the first question? In our proposal, the discovery of a high-quality data manifold is conducted by training a nonlinear compressive learning system on the inference task. Its knowledge of the data manifold of interest is then progressively transferred to the MCL components via multi-stage supervised training with the supervisory information encoding how the compressed measurements, the synthesized features, and the predictions should be like. The proposed knowledge transfer algorithm also comes with a semi-supervised adaption that enables compressive learning models to utilize unlabeled data effectively. Extensive experiments demonstrate that the proposed knowledge transfer method can effectively train MCL models to compressively sense and synthesize better features for the learning tasks with improved performances, especially when the complexity of the learning task increases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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