scholarly journals A general framework for a class of non-linear approximations with applications to image restoration

2018 ◽  
Vol 330 ◽  
pp. 982-994 ◽  
Author(s):  
V. Candela ◽  
A. Falcó ◽  
Pantaleón D. Romero
Keyword(s):  
Image Restoration ◽  
General Framework ◽  
Linear Approximations ◽  
Non Linear

Quantum splines for non-linear approximations

2020 ◽  
Author(s):  
Antonio Macaluso ◽  
Luca Clissa ◽  
Stefano Lodi ◽  
Claudio Sartori
Keyword(s):  
Linear Approximations ◽  
Non Linear

First crossing of basic counting processes with lower non-linear boundaries: A unified approach through pseudopolynomials (I)

1996 ◽  
Vol 28 (03) ◽  
pp. 853-876 ◽  
Author(s):  
Philippe Picard ◽  
Claude Lefèvre
Keyword(s):  
General Framework ◽  
Counting Process ◽  
Lower Boundary ◽  
Exact Distribution ◽  
Applied Probability ◽  
Renewal Processes ◽  
Counting Processes ◽  
Unified Approach ◽  
Non Linear ◽  
Birth Processes

The paper is concerned with the distribution of the levelNof the first crossing of a counting process trajectory with a lower boundary. Compound and simple Poisson or binomial processes, gamma renewal processes, and finally birth processes are considered. In the simple Poisson case, expressing the exact distribution ofNrequires the use of a classical family of Abel–Gontcharoff polynomials. For other cases convenient extensions of these polynomials into pseudopolynomials with a similar structure are necessary. Such extensions being applicable to other fields of applied probability, the central part of the present paper has been devoted to the building of these pseudopolynomials in a rather general framework.

General framework in designing Luenberger-like non-linear observer

2013 ◽  
Vol 7 (2) ◽  
pp. 253-260 ◽  
Author(s):  
Mohsen Ekramian ◽  
Farid Sheikholeslam ◽  
Saeed Hosseinnia
Keyword(s):  
General Framework ◽  
Non Linear ◽  
Linear Observer
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