Best rank (R, R, R) super-symmetric tensor approximation-a continuous-time approach

2003 ◽  
Author(s):  
J. Cambre ◽  
L. De Lathauwer ◽  
B. De Moor
Keyword(s):  
Continuous Time ◽  
Symmetric Tensor ◽  
Tensor Approximation

scholarly journals Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions

2021 ◽  
Author(s):  
Bingni Guo ◽  
Jiawang Nie ◽  
Zi Yang
Keyword(s):  
Stability Analysis ◽  
Mixture Models ◽  
Numerical Experiments ◽  
Gaussian Mixture Models ◽  
Symmetric Tensor ◽  
Gaussian Mixture ◽  
Third Order ◽  
Tensor Decompositions ◽  
Tensor Approximation ◽  
The Stability

AbstractThis paper studies how to learn parameters in diagonal Gaussian mixture models. The problem can be formulated as computing incomplete symmetric tensor decompositions. We use generating polynomials to compute incomplete symmetric tensor decompositions and approximations. Then the tensor approximation method is used to learn diagonal Gaussian mixture models. We also do the stability analysis. When the first and third order moments are sufficiently accurate, we show that the obtained parameters for the Gaussian mixture models are also highly accurate. Numerical experiments are also provided.

Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model

2007 ◽  
Vol 44 (02) ◽  
pp. 285-294 ◽  
Author(s):  
Qihe Tang
Keyword(s):  
Asymptotic Formula ◽  
Continuous Time ◽  
Heavy Tails ◽  
Tail Behavior ◽  
Renewal Model ◽  
Discounted Aggregate Claims ◽  
Aggregate Claims ◽  
Tail Asymptotic

We study the tail behavior of discounted aggregate claims in a continuous-time renewal model. For the case of Pareto-type claims, we establish a tail asymptotic formula, which holds uniformly in time.

Hierarchical Bayesian continuous time dynamic modeling.

2018 ◽  
Vol 23 (4) ◽  
pp. 774-799 ◽  
Author(s):  
Charles C. Driver ◽  
Manuel C. Voelkle
Keyword(s):  
Dynamic Modeling ◽  
Continuous Time ◽  
Hierarchical Bayesian ◽  
Time Dynamic

Continuous Time Controller Design

IEE Review ◽  
1991 ◽  
Vol 37 (6) ◽  
pp. 228
Author(s):  
Stephen Barnett
Keyword(s):  
Continuous Time ◽  
Controller Design
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