2017
DOI: 10.1007/s41060-017-0045-2
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Online detection of continuous changes in stochastic processes

Abstract: We are concerned with detecting continuous changes in stochastic processes. In conventional studies on non-stationary stochastic processes, it is often assumed that changes occur abruptly. By contrast, we assume that they take place continuously. The proposed scheme consists of an efficient algorithm and rigorous theoretical analysis under the assumption of continuity. The contribution of this paper is as follows: We first propose a novel characterization of processes for continuous changes. We also present a … Show more

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Cited by 11 publications
(13 citation statements)
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References 22 publications
(29 reference statements)
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“…On the other hand, the same function means to assume an imaginary earthquake at a random time in Condition B. Details of the reason for choosing the evaluation method above mentioned in Appendix E referring to the literature [ 20 , 75 , 76 , 77 , 78 ]. In summary, the alarming functions are compared as in the following procedure.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…On the other hand, the same function means to assume an imaginary earthquake at a random time in Condition B. Details of the reason for choosing the evaluation method above mentioned in Appendix E referring to the literature [ 20 , 75 , 76 , 77 , 78 ]. In summary, the alarming functions are compared as in the following procedure.…”
Section: Discussionmentioning
confidence: 99%
“…For example, the eigenvectors and the corresponding eigenvalues of the N ∗ N matrix representing the pairwise co-occurrences of earthquakes in N regions have been used to predict the probability of earthquake occurrences in clusters of regions [ 17 ]. Machine learning techniques used to detect the times of high change point score [ 18 , 19 , 20 ], based on the transition of models on latent dynamics before and after time t , may also have the potential to discover an essential change in land crust behavior. However, the precursors of large earthquakes have been difficult to capture using this approach because of their complex and unknown latent dynamics and extremely low frequency of occurrence.…”
Section: Introductionmentioning
confidence: 99%
“…Hill et al [6] applied an autoregressive model to detecting anomalies according to deviation from normal data, and it is broadly assumed that anomaly scores rise sharply with general anomaly detection. Miyaguchi et al [14] proposed a method that can be applied when scores rise gradually. Online anomaly detection is extremely fast, but the model for online anomaly detection is relatively simple and does not deal well with irregular and complicated waveforms.…”
Section: Related Workmentioning
confidence: 99%
“…The direct reflection of changes in the graph structure is a feature of GBE that differentiates it from the previous methods for change detection. Among them, Local Linear Regression (LLR [7]) is taken as a baseline in the experimental comparison in Sects. 4 and 5.…”
Section: Graph-based Entropy As An Index Of Explanatory Diversitymentioning
confidence: 99%