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Face Recognition Using Discriminatively Trained Orthogonal Tensor Projections

机译:使用区分训练正交张量投影的人脸识别

摘要

Systems and methods are described for face recognition using discriminatively trained orthogonal rank one tensor projections. In an exemplary system, images are treated as tensors, rather than as conventional vectors of pixels. During runtime, the system designs visual features—embodied as tensor projections—that minimize intraclass differences between instances of the same face while maximizing interclass differences between the face and faces of different people. Tensor projections are pursued sequentially over a training set of images and take the form of a rank one tensor, i.e., the outer product of a set of vectors. An exemplary technique ensures that the tensor projections are orthogonal to one another, thereby increasing ability to generalize and discriminate image features over conventional techniques. Orthogonality among tensor projections is maintained by iteratively solving an ortho-constrained eigenvalue problem in one dimension of a tensor while solving unconstrained eigenvalue problems in additional dimensions of the tensor.
机译:描述了使用判别训练的正交秩一张量投影进行面部识别的系统和方法。在示例性系统中,图像被视为张量,而不是传统的像素矢量。在运行时,系统设计视觉特征(体现为张量投影),以最大程度地减少同一张脸的实例之间的类内差异,同时最大程度地提高不同人的脸与不同人之间的类间差异。张量投影是在一组训练图像上顺序进行的,并采用秩一张量的形式,即一组向量的外积。一种示例性技术确保张量投影彼此正交,从而与常规技术相比,增强了概括和区分图像特征的能力。张量投影之间的正交性是通过迭代求解张量的一维中的正交约束特征值问题,同时求解张量的其他维数中的不受约束特征值问题来保持的。

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