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Now assume that the N 1 th training sample x N 1 y 2 Rn is given The addition of this new sample results in the changes in the mean vector and the covariance matrix; therefore, the eigenspace model W ; Uk ; Lk ; N should be updated Let us x x de ne the new eigenspace model by W0 0 ; U0 k0 ; L0 k0 ; N 1 Note that the eigenspace dimensions might be increased from k to k 1; thus, k0 in W0 is either k or k 1 Intuitively, if y includes almost all energy in the current eigenspace spanned by the eigenvectors U0 k , there is no need to increase its dimensions However, if y includes certain energy in the complementary eigenspace, the dimensional augmentation is inevitable; otherwise, crucial information on the new sample y might be lost.

Cleckley s construct was scientifically restricted and displays several of the theoretical limitations and value connotations that can bias psychological constructs (Messick, 1981). First, it assumed the primacy of affect over cognition and lacked any broader theoretical context of personality or personality disorder. His specific clinical entity now appears to be neither specific nor an entity, although paradoxically, he seems to have identified a significant dimension relevant to personality disorders more generally. Second, his quasi-neurological hypothesis has encouraged a focus on research that bypasses the psychological level of explanation. Although some findings suggest an information processing deficits in psychopaths (Newman, 1998), a physiological deficit underlying psychopathy has yet to be clearly established (Harris et al., 2001) and may turn out to be a reductionist red herring. Even if forthcoming, it would not supply the proximal causal generative mechanisms that might explain socially offensive behavior. Third, the construct of psychopathy as an underlying emotional deficit has restricted explanatory power, and it is unclear how this differs from the similar deficit held to underlie schizoid personality. At best, it may tell us why a psychopathic individual fails to inhibit harmful behavior, but it does not tell us why he or she engages in that behavior in the first place. Conspicuously absent from Cleckley s concept is a theory of motivation or goals or of the psychological functions that the behavior of psychopaths might serve. Evolutionary conceptions that identify psychopathy in terms of universal strivings may help to redress the balance (e.g., Beck & Freeman, 1990; Harris et al., 2001; Mealey, 1995; Millon & Davis, 1996), but these need to be set in the context of personality variation more generally.

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Regardless of the necessity in eigenspace augmentation, the eigen-axes should be rotated to adapt to the variation in the data distribution In summary, there are three main operations in IPCA: (1) mean vector update, (2) eigenspace augmentation, and (3) rotation of eigen-axes The rst operation is easily carried out based on the following equation: 0 x 1 N y 2 Rn x N 1 7:1.

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Forecasts of load demand are very important in the operation of electrical energy systems, because several decision-making processes, such as system operation planning, security analysis, and market decisions, are strongly in uenced by the future

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