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Dependence Maximizing Temporal Alignment via Squared-Loss Mutual Information

2012/06/19 by Makoto Yamada, Leonid Sigal, Yamada, Makoto +5
Computer Science · #Artificial Intelligence (cs.AI) #Constraint Satisfaction and Optimization #FOS: Computer and information sciences #Machine Learning (stat.ML) #Music and Audio Processing #Speech and dialogue systems

paper · pdf · doi:10.48550/arxiv.1206.4116

openalex publication_date 2012/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of temporal alignment is to establish time correspondence between two sequences, which has many applications in a variety of areas such as speech processing, bioinformatics, computer vision, and computer graphics. In this paper, we propose a novel temporal alignment method called least-squares dynamic time warping (LSDTW). LSDTW finds an alignment that maximizes statistical dependency between sequences, measured by a squared-loss variant of mutual information. The benefit of this novel information-theoretic formulation is that LSDTW can align sequences with different lengths, different dimensionality, high non-linearity, and non-Gaussianity in a computationally efficient manner. In addition, model parameters such as an initial alignment matrix can be systematically optimized by cross-validation. We demonstrate the usefulness of LSDTW through experiments on synthetic and real-world Kinect action recognition datasets.

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