Orthogonalization and Parameterization of Convolutional Kernels in Machine Learning for Image and Video Compression

R. Yuzkiv, M. Gashnikov
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Abstract

We study orthogonalization and parametrization of convolutional filters within the framework of the image and video compression method based on machine learning. We use the convolutional filters to interpolate less sparse video frame meshes based on sparser video frame meshes. We consider superresolution neural networks and decision trees as machine learning algorithms at the interpolation stage. Decision trees adaptively select an interpolating function from a predefined set of convolutional filters with parameterized orthogonal weights. The use of adaptive functions can significantly improve the accuracy of interpolation. Optimization of machine learning algorithms makes it possible to use the adaptability of interpolators in the most efficient way. We use orthogonalization and parametrization of convolution filter weights to increase the efficiency of the machine learning interpolation algorithm, which in turn leads to an increase in the efficiency of the image and video compression method in general. Computational experiments demonstrate the advantage of the proposed algorithm in real videos.
卷积核在图像和视频压缩机器学习中的正交化和参数化
我们在基于机器学习的图像和视频压缩方法框架内研究卷积滤波器的正交化和参数化。我们使用卷积滤波器在稀疏视频帧网格的基础上插值稀疏程度较低的视频帧网格。我们将超分辨率神经网络和决策树作为插值阶段的机器学习算法。决策树自适应地从具有参数化正交权值的预定义卷积滤波器集合中选择插值函数。采用自适应函数可以显著提高插值精度。机器学习算法的优化使得最有效地利用插值器的适应性成为可能。我们使用卷积滤波器权值的正交化和参数化来提高机器学习插值算法的效率,这反过来又提高了图像和视频压缩方法的效率。计算实验证明了该算法在真实视频中的优越性。
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