Hyper-reduction of mechanical models involving internal variables

2009 ◽  
Vol 77 (1) ◽  
pp. 75-89 ◽  
Author(s):  
D. Ryckelynck
Keyword(s):  
Internal Variables ◽  
Mechanical Models

Multidimensional Hyper-Reduction of Large Mechanical Models Involving Internal Variables

2012 ◽  
Author(s):  
David Ryckelynck
Keyword(s):  
Model Reduction ◽  
Reduction Method ◽  
A Priori ◽  
Functional Space ◽  
Weak Form ◽  
Point Of View ◽  
Internal Variables ◽  
Equilibrium Equations ◽  
Mechanical Models ◽  
Reduced Integration Domain

We propose to incorporate a Response Surface (RS) approximation of variables over a parametric domain into a weak form of parametric Partial Differential Equations (PDEs). Hence a multidimensional model-reduction can be achieved. We propose a multidimensional a priori model reduction method to generate or to enrich RSs. It is coined multidimensional because the fields to forecast are defined over an augmented domain in term of dimension. They are functions of both space variables and parameters that simultaneously evolve in time. This changes the functional space related to the weak form of the PDEs and the definition of the reduced bases. It has a significant impact on the proposed model reduction method. In particular, a new point of view on interpolation of variables has to be addressed. A Multidimensional Reduced Integration Domain (MRID) is proposed to reduce the complexity of the reduced formulation. A multidimensional Hyper-Reduction method extract from the MRID truncated equilibrium equations, truncated residuals and a truncated error indicator.

Do Event-Related Brain Potentials Reflect Mental (Cognitive) Operations?

2002 ◽  
Vol 16 (3) ◽  
pp. 129-149 ◽  
Author(s):  
Boris Kotchoubey
Keyword(s):  
Cognitive Processes ◽  
Point Of View ◽  
Internal Variables ◽  
Brain Potentials ◽  
Cognitive Operations ◽  
External Variables ◽  
Series Of Experiments ◽  
Mental Operations ◽  
A Chain ◽  
Processing Mechanisms

Abstract Most cognitive psychophysiological studies assume (1) that there is a chain of (partially overlapping) cognitive processes (processing stages, mechanisms, operators) leading from stimulus to response, and (2) that components of event-related brain potentials (ERPs) may be regarded as manifestations of these processing stages. What is usually discussed is which particular processing mechanisms are related to some particular component, but not whether such a relationship exists at all. Alternatively, from the point of view of noncognitive (e. g., “naturalistic”) theories of perception ERP components might be conceived of as correlates of extraction of the information from the experimental environment. In a series of experiments, the author attempted to separate these two accounts, i. e., internal variables like mental operations or cognitive parameters versus external variables like information content of stimulation. Whenever this separation could be performed, the latter factor proved to significantly affect ERP amplitudes, whereas the former did not. These data indicate that ERPs cannot be unequivocally linked to processing mechanisms postulated by cognitive models of perception. Therefore, they cannot be regarded as support for these models.

Interactive Segmentation of Scanned Mechanical Models Based on Quadratic Surfaces Fitting

2019 ◽  
Vol 31 (7) ◽  
pp. 1210
Author(s):  
Zhongqi Wu ◽  
Jianwei Guo ◽  
Jun Xiao ◽  
Xiangyong Zeng ◽  
Ying Wang ◽  
...  
Keyword(s):  
Interactive Segmentation ◽  
Mechanical Models ◽  
Quadratic Surfaces

Prevalence of imaginary companions among Chinese children aged 4 to 6 years

2020 ◽  
Vol 48 (3) ◽  
pp. 1-11
Author(s):  
Qiyi Lin ◽  
Nan Zhou ◽  
Hong Fu
Keyword(s):  
Age Groups ◽  
Income Group ◽  
Internal Variables ◽  
Annual Income ◽  
Imaginary Companions ◽  
Socioeconomic Environment ◽  
Imaginary Play ◽  
Relationship Qualities ◽  
Different Dimensions ◽  
The Relationship

We investigated the prevalence of Chinese children's imaginary companions (ICs) and the internal variables of IC types (personified object or invisible friend) and child–IC relationship qualities (egalitarian or hierarchical child–IC relationship). Participants were 266 children aged 4 to 6 years. Only in the 5-year-old group was the proportion of children with ICs significantly higher among girls than among boys, implying that the relationship between gender and IC was not consistent across age groups. Children from families in the highest annual income group engaged in more IC play than did children from families in the lowest annual income group, indicating a relationship between family socioeconomic environment and children's imaginary play. IC types were not associated with child–IC relationship qualities in any of the age groups, implying that these qualities may represent different dimensions of IC play as early as 4 years old.

Internal variables used for describing the signal propagation in axons

2020 ◽  
Vol 32 (6) ◽  
pp. 1619-1627 ◽  
Author(s):  
Jüri Engelbrecht ◽  
Kert Tamm ◽  
Tanel Peets
Keyword(s):  
Signal Propagation ◽  
Internal Variables
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