scholarly journals On the structure and representations of max-stable processes

2010 ◽  
Vol 42 (03) ◽  
pp. 855-877 ◽  
Author(s):  
Yizao Wang ◽  
Stilian A. Stoev

We develop classification results for max-stable processes, based on their spectral representations. The structure of max-linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max-stable processes based on the notion of co-spectral functions. In particular, we discuss the spectrally continuous-discrete, the conservative-dissipative, and the positive-null decompositions. For stationary max-stable processes, the latter two decompositions arise from connections to nonsingular flows and are closely related to the classification of stationary sum-stable processes. The interplay between the introduced decompositions of max-stable processes is further explored. As an example, the Brown-Resnick stationary processes, driven by fractional Brownian motions, are shown to be dissipative.

2010 ◽  
Vol 42 (3) ◽  
pp. 855-877 ◽  
Author(s):  
Yizao Wang ◽  
Stilian A. Stoev

We develop classification results for max-stable processes, based on their spectral representations. The structure of max-linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max-stable processes based on the notion of co-spectral functions. In particular, we discuss the spectrally continuous-discrete, the conservative-dissipative, and the positive-null decompositions. For stationary max-stable processes, the latter two decompositions arise from connections to nonsingular flows and are closely related to the classification of stationary sum-stable processes. The interplay between the introduced decompositions of max-stable processes is further explored. As an example, the Brown-Resnick stationary processes, driven by fractional Brownian motions, are shown to be dissipative.


2020 ◽  
Vol 1 (3) ◽  
pp. 14-23
Author(s):  
Tulkin Chulliev ◽  

The article explains the fundamental nature of migration by combining the definitions given by other scholars. The issue of labor migration is analyzed. One of the most important problems in contemporary migration processes - the problem of classification- is researched and a general classification is provided


Electronics ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 371
Author(s):  
Yerin Lee ◽  
Soyoung Lim ◽  
Il-Youp Kwak

Acoustic scene classification (ASC) categorizes an audio file based on the environment in which it has been recorded. This has long been studied in the detection and classification of acoustic scenes and events (DCASE). This presents the solution to Task 1 of the DCASE 2020 challenge submitted by the Chung-Ang University team. Task 1 addressed two challenges that ASC faces in real-world applications. One is that the audio recorded using different recording devices should be classified in general, and the other is that the model used should have low-complexity. We proposed two models to overcome the aforementioned problems. First, a more general classification model was proposed by combining the harmonic-percussive source separation (HPSS) and deltas-deltadeltas features with four different models. Second, using the same feature, depthwise separable convolution was applied to the Convolutional layer to develop a low-complexity model. Moreover, using gradient-weight class activation mapping (Grad-CAM), we investigated what part of the feature our model sees and identifies. Our proposed system ranked 9th and 7th in the competition for these two subtasks, respectively.


1899 ◽  
Vol 6 (8) ◽  
pp. 341-354 ◽  
Author(s):  
J. W. Gregory

The classification of the Palæozoic starfishes has long been in chaos. The earlier palæontologists, who founded most of the known genera, made no attempt at a general classification or to indicate the relations between the Palæozoic and existing representatives of the Asteroidea. The first step towards progress was Bronn's division of the extinct genera into three groups—the Ophiurasteriæ (which may be left out of account as Ophiuroidea), the Encrinasteriæ, and the Asterias veræ.


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