What is criticality?
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Criticality refers to a concept that varies across different fields. In computer science, it is defined as the minimum value λ for a Boolean function where a specific property holds true for all positive integers . In the medical field, criticality is operationalized as the severity of illness in hospitalized children, quantified using physiology, therapy, and care intensity, with a Criticality Index indicating the probability of ICU care . Moreover, criticality is explored in the context of prime numbers, introducing a theoretical model based on prime numbers that parallels physical critical phenomena, with potential applications in determining magic numbers in Nuclear Physics . Additionally, criticality in flocking systems represents a state between order and disorder, providing systems with optimal calculation abilities and sensitivity to stimuli, offering insights into emergent intelligence in flocks .
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01 Nov 2019 1 Citations | Criticality in reinforcement learning refers to the influence of action choice on expected return in a state. It is utilized in the CVS algorithm to improve learning efficiency. |
| Criticality in flocking systems represents a state balancing order and disorder, enhancing adaptability and resistance. It fosters intelligence emergence by breaking locality constraints and fostering long-distance correlations in flocks. | |
| Criticality in Boolean functions is the minimum λ ≥ 1 where Pr is bounded for all positive integers t, as introduced by Rossman in 2019 for $\text{AC}^0$ formulae. | |
| Criticality is explored in prime number counting functions, drawing parallels to physical critical phenomena. The paper introduces a Model of Criticality based on Prime Numbers for nuclear magic number applications. | |
16 Citations | Criticality is a new severity measure for hospitalized children based on physiology, therapy, and care intensity, quantified as the Criticality Index using a deep neural network analysis. |
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