The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical changepoint detection algorithm based on non-parametric divergence estimation between time-series samples from two retrospective segments. Our method uses the relative Pearson divergence as a divergence measure, and it is accurately and efficiently estimated by a method of direct density-ratio estimation. Through experiments on artificial and real-world datasets including human-activity sensing, speech, and Twitter messages, we demonstrate the usefulness of the proposed method.

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Introduction: With the 2022 Winter Olympic Games launch, ice and snow sports have come into the spotlight, receiving government incentives to encourage their practice. Objective: Examine the causes of knee injury in skiers, proposing preventive measures for joint injury. Methods: The current situation of joint injury in skiers’ knees, joint movement in skiing, the cause of joint injury, and the prevention of joint injury were analyzed, and scientific prevention and corresponding treatment plan were developed according to the results of the analysis. Results: The injury rate among skiers is high. Ligament injury, tendon injury, and muscle strain are the three main types of injury. There are 57 mild injuries of various types to the knee joint - 53.27% of all injuries; 41 moderate injuries, representing 38.32% of all injuries; 9 serious injuries, representing 8.41% of all injuries, with minor injuries. Conclusion: This article examines knee motion and the causes of knee injury in skiers and proposes preventive measures for joint injury. Level of evidence II; Therapeutic studies - investigation of treatment outcomes.