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Thus, variance principles and general laws in economics are more a desideratum than a factum.
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Interestingly this is the same concept of the minimum variance principle.
As for the jerk, this is believed to be a byproduct of the same minimum variance principle [15, 18, 21].
The problem of producing a body movement — such as getting a hand to a desired target — subject to the minimum variance principle is an optimal control problem.
According to recent studies [15, 18, 21], the two-thirds power law is considered as a consequence of optimality principles that generate human motion, and in particular of the minimum variance principle.
It consists of three basic components: (a) an intrinsic metric for detecting outliers on the basis of minimum variance principle; (b) bi-means clustering of a normalized histogram; (c) surface propagation for a geometric coherence check.
A new sliding window denoising K-SVD (SWD-KSVD) method is proposed, which uses only one small segment of time domain signal containing impacts to perform sliding window dictionary learning and select an optimal pattern with oscillating information of the rolling bearing fault according to a maximum variance principle.
This would be in harmony with a general principle at work in the central nervous system, that of maximizing mutual information, which on the sensory side corresponds to a maximum of discrimination (and Fisher information; see [40]) and on the motor side to what has been called the "minimum variance principle", for instance in the study of ocular saccades or arm movements [41].
As for future possible developments, we make the hypothesis that both the speed-curvature co-variation at the level of motor primitives, and the adoption of diverse sensory-motor strategies (e.g. different sequences of motor units such as combined deceleration-steering versus braking-steering) aim at robust control, i.e., the minimum variance principle introduced by Harris and Wolpert.
The conditions under which this can be achieved are formally generalized and proven as the equal-variance principle.
Based on the descriptor system model, a fault estimation filter which can simultaneously estimate the state and the sensor fault magnitudes is designed via a minimum-variance principle.
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