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arXiv 1802.08795cs.CV
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基于决策过程的二值化神经网络的约束图像生成

Constrained Image Generation Using Binarized Neural Networks with Decision Procedures

Stanford University(斯坦福大学);VMware Research(威睿研究院);University of Sassari(萨萨里大学);University of Genoa(热那亚大学);Microsoft Research(微软研究院);Tel Aviv University(特拉维夫大学)

Svyatoslav Korneev, Nina Narodytska, Luca Pulina, Armando Tacchella, Nikolaj Bjorner, Mooly Sagiv

摘要:

我们考虑的问题,二进制图像生成给定的属性。这个问题出现在一些实际应用中,包括生成用于锂离子电池电极的人工多孔介质,用于合成材料等。生成的图像表示多孔介质,因此,它受到两组约束:结构上的拓扑约束和该结构上的物理过程上的过程约束。为了执行图像生成,我们需要定义从多孔介质到其物理过程参数的映射。对于给定几何形状的多孔介质,该映射可以通过求解偏微分方程(PDE)来完成。然而,将PDE求解器嵌入到搜索过程中在计算上是昂贵的。我们使用一个二值化的神经网络来近似PDE求解器。这使我们能够将整个问题编码为一个逻辑公式。我们的主要贡献是,第一次,我们表明,这个问题可以解决使用决策程序。我们的实验表明,我们的模型是能够产生随机约束的图像,同时满足拓扑和工艺约束。

英文摘要:

We consider the problem of binary image generation with given properties. This problem arises in a number of practical applications, including generation of artificial porous medium for an electrode of lithium-ion batteries, for composed materials, etc. A generated image represents a porous medium and, as such, it is subject to two sets of constraints: topological constraints on the structure and process constraints on the physical process over this structure. To perform image generation we need to define a mapping from a porous medium to its physical process parameters. For a given geometry of a porous medium, this mapping can be done by solving a partial differential equation (PDE). However, embedding a PDE solver into the search procedure is computationally expensive. We use a binarized neural network to approximate a PDE solver. This allows us to encode the entire problem as a logical formula. Our main contribution is that, for the first time, we show that this problem can be tackled using decision procedures. Our experiments show that our model is able to produce random constrained images that satisfy both topological and process constraints.

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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