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Time Warp [key Serial Number]

  • yen-pollett458wmc
  • Aug 20, 2023
  • 6 min read


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Time Warp [key serial number]




I show below step by step about how the two time-series can be built and how the Dynamic Time Warping (DTW) algorithm can be computed. You can build a unsupervised k-means clustering with scikit-learn without specifying the number of centroids, then the scikit-learn knows to use the algorithm called auto.


The SW:TOR Security Key generates a time-sensitive, randomly generated number which acts as an additional password, and provides an extra layer of security to your game account. When you have a Security Key attached to your account, you'll need to use a code from it each time you log into the game or into swtor.com.


Dynamic time warping is a seminal time series comparison technique that has been used for speech and word recognition since the 1970s with sound waves as the source; an often cited paper is Dynamic time warping for isolated word recognition based on ordered graph searching techniques.


This technique can be used not only for pattern matching, but also anomaly detection (e.g. overlap time series between two disjoint time periods to understand if the shape has changed significantly, or to examine outliers). For example, when looking at the red and blue lines in the following graph, note the traditional time series matching (i.e. Euclidean Matching) is extremely restrictive. On the other hand, dynamic time warping allows the two curves to match up evenly even though the X-axes (i.e. time) are not necessarily in sync. Another way is to think of this is as a robust dissimilarity score where a lower number means the series is more similar.


Two-time series (the base time series and new time series) are considered similar when it is possible to map with function f(x) according to the following rules so as to match the magnitudes using an optimal (warping) path.


Traditionally, dynamic time warping is applied to audio clips to determine the similarity of those clips. For our example, we will use four different audio clips based on two different quotes from a TV show called The Expanse. There are four audio clips (you can listen to them below but this is not necessary) - three of them (clips 1, 2, and 4) are based on the quote:


Except for regression analysis, there are few studies on other aspects of interval-valued data in recent years. Cappelli et al. [5] employed the atheoretical regression trees framework to detect multiple breaks in financial interval-valued time series. Li et al. [18] developed algorithms for obtaining eigenvalue-based or probabilistic decomposition for interval-valued data matrices. Wang et al. [28], using geometric knowledge, denoted interval-valued time series by a sequence of 3-tuples composed of barycenter and circumradius of a triangle, and performed clustering on the interval-valued time series of unequal length by the dynamic time warping algorithm.


where TP is the number of true positives, TN is the number of true negatives, FP is the number of false positives, and FN is the number of false negatives. The adjusted Rand Index is the corrected-for-chance version of the Rand Index. In most cases, the clustered objects are unlabeled. At this time, we can use the MSE or RMSE to measure clustering performance. MSE can be computed using the following formula:


In this article, we developed and introduced DTW-SOM, a new time series clustering method based on SOM, and used it to identify typical patterns in highly time-resolved air sensor data. We aimed to both illustrate the novelty of DTW-SOM and highlight the significance of time series pattern discovery using PM2.5 exposures as an example. The novel aspect of DTW-SOM as a pattern-based clustering method is that it uses dynamic time warping as the similarity measure in both the matching and training phases of SOM. Previous variants of SOM had incorporated DTW in the matching phase. Using data from four environmental exposures in our motivating application, we compared DTW-SOM to other SOM algorithms and found that DTW-SOM produced the lowest quantization errors in clustering and the highest purity within each output neuron (evaluated by entropy). DTW-SOM also preserved more details of the input time series (evaluated by variance), better preserved the topology relationship of the input data and better summarized time series patterns (e.g., retained diurnal temperature peaks).


The clustering of time-series data to extract valuable information (e.g., patterns) from complex and massive datasets is a major focus in many scientific domains. SOM is one of the most popular unsupervised approaches. Aghabozorgi et al.5 classified the purpose of time series clustering methods into three categories: (1) recognizing dynamic changes; (2) prediction and recommendation; and (3) pattern discovery. However, the reliance on conventional Euclidean similarity measurement in the standard SOM, pattern discovery objective has not been adequately addressed. DTW-SOM provides a new framework for pattern-based feature engineering of time series, such as those produced by the growing number of sensors used in studies of human health. This paper shows how the resultant clusters of exposure time series patterns offer a complementary method for summarizing exposure histories beyond the simple summary statistics commonly used in health studies. For example, we see in Fig. 7 an indoor PM2.5 pattern with high variations and peaks in the late afternoon and early evening that was associated with a high rate of days with asthma patients using inhalers (23/53). Such a pattern would be hard to depict using summary statistics. The clustering of the outdoor temperatures with DTW-SOM revealed different patterns in warm and cool seasons. The identified diurnal temperature patterns in summer have higher values and more distinctive noon-time peaks than winter. Aghabozorgi et al.5 suggested time-series clustering can be improved by advancements in four different aspects: (1) dimension reduction; (2) clustering algorithms; (3) similarity measurements; and (4) prototypes; and concluded that future work should focus on new hybrid algorithms using existing or new clustering approaches in order to balance the quality and expense of clustering time-series. DTW-SOM introduced shape-based similarity measurement into the training phase of the standard SOM and improved the quality of clustering results on time series data. This new method can support time series clustering and pattern recognition.


A warping path W is a set of contiguous matrix indices defining a mapping between two time series. Even if there is an exponential number of possible warping paths, the optimal path is the one that minimizes the global warping cost. DTW can be computed using dynamic programming with time complexity O(n2) [Ratanamahatana and Keogh 2004a]. However, several lower bounding measures have been introduced to speed up the computation. Keogh and Ratanamahatana [2005] introduced the notion of upper and lower envelope that represents the maximum allowed warping. Using this technique, the complexity becomes O(n). It is also possible to impose a temporal constraint on the size of the DTW warping window. It has been shown that these improve not only the speed but also the level of accuracy as it avoids the pathological matching introduced by extended warping [Ratanamahatana and Keogh 2004b]. The two most frequently used global constraints are the Sakoe-Chiba Band and the Itakura Parallelogram. Salvador and Chan [2007] introduced the FastDTW algorithm which makes a linear time computation of DTW possible by recursively projecting a warp path to a higher resolution and then refining it. A drawback of this algorithm is that it is approximate and therefore ACM Computing Surveys, Vol. 45, No. 1, Article 12, Publication date: November 2012. 12:18 P. Esling and C. Agon offers no guarantee to finding the optimal solution. In addition to dynamic warping, it may sometimes be useful to allow a global scaling of time series to achieve meaningful results, a technique known as Uniform Scaling (US). Fu et al. [2008] proposed the Scaled and Warped Matching (SWM) similarity measure that makes it possible to combine the benefits of DTW with those of US. Other shape-based measures have been introduced such as the Spatial Assembling Distance (SpADe) [Chen et al. 2007b]; it is a pattern-based similarity measure. This algorithm identifies matching patterns by allowing shifting and scaling on both temporal and amplitude axes, thus being scale robust. The DISSIM [Frentzos et al. 2007] distance has been introduced to handle similarity at various sampling rates. It is de- fined as an approximation of the integral of the Euclidean distance. One of the most interesting recent proposals is based on the concept of elastic matching of time series [Latecki et al. 2005]. Latecki et al. [2007] presented an Optimal SuBsequence matching (OSB) technique that is able to automatically determine the best subsequence and warping factor for distance computation; it includes a penalty when skipping elements. Optimality is achieved through a high computational cost; however, it can be reduced by limiting the skipping range.


Good news this time, the clusters are almost equally distributed, bad news random plans and pattern plans are mixed together. However we can see that the HMM is creating surprisingly nice pattern which can be easily clustered with a higher number of cluster. The drawback is the low distance between each time series which can make the clustering method more complicated. 2ff7e9595c


 
 
 

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