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Hankel low-rank approximation and completion in time series analysis and forecasting: a brief review

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arxiv 2206.05103 v1 pith:ZLX6LFCQ submitted 2022-06-10 math.NA cs.NAstat.MEstat.ML

classification math.NAcs.NAstat.MEstat.ML
keywords analysisapproximationcompletionforecastinghankellow-rankofferreview
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In this paper we offer a review and bibliography of work on Hankel low-rank approximation and completion, with particular emphasis on how this methodology can be used for time series analysis and forecasting. We begin by describing possible formulations of the problem and offer commentary on related topics and challenges in obtaining globally optimal solutions. Key theorems are provided, and the paper closes with some expository examples.

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