人工知能学会論文誌
Online ISSN : 1346-8030
Print ISSN : 1346-0714
原著論文
局所線形モデルのアライメントによる非線形動的システムの学習法
上甲 昌郎河原 吉伸矢入 健久
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ジャーナル フリー

2011 年 26 巻 6 号 p. 638-648

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In this paper, we present an algorithm for learning non-linear dynamical systems which works by aligning local linear models, based on a probabilistic formulation of subspace identification. This is achieved by the fusion of the recent works in the fields of machine learning and system control. Because the procedure for constructing a state sequence in subspace identification can be interpreted as the Canonical Correlation Analysis(CCA) between past and future observation sequences, we can derive a latent variable representation for this problem. Therefore, as in a similar manner to the recent works on learning a mixture of probabilistic models, we obtain a framework for constructing a state space by aligning local linear coordinates. This leads to a prominent algorithm for learning non-linear dynamical systems. Finally, we apply our method to motion capture data and telemetry data, and then show how our algorithm works well.

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© 2011 JSAI (The Japanese Society for Artificial Intelligence)
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