منابع مشابه
Demystifying Typicality
A gas prepared in a non-equilibrium state will approach equilibrium and stay there. An influential contemporary approach to Statistical Mechanics explains this behaviour in terms of typicality. However, this explanation has been criticised as mysterious as long as no connection with the dynamics of the system is established. We take this criticism as our point of departure. Our central claim is...
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Dilation occurs when upper and lower probability estimates of some event E are properly included in the upper and lower probability estimates of the probability of E conditional on another event F , resulting in a change from a more precise estimate of E to a less precise estimate of E upon learning F . Strict dilation occurs when E is dilated by every event in a partition, which means that som...
متن کاملCanonical typicality.
It is well known that a system weakly coupled to a heat bath is described by the canonical ensemble when the composite S + B is described by the microcanonical ensemble corresponding to a suitable energy shell. This is true for both classical distributions on the phase space and quantum density matrices. Here we show that a much stronger statement holds for quantum systems. Even if the state of...
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The Residual Network (ResNet), proposed in He et al. (2015a), utilized shortcut connections to significantly reduce the difficulty of training, which resulted in great performance boosts in terms of both training and generalization error. It was empirically observed in He et al. (2015a) that stacking more layers of residual blocks with shortcut 2 results in smaller training error, while it is n...
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This latest book by Geoffrey Lloyd continues his exploration into the origins of Greek scientific thought. In it he examines the concept of "mentalities" as an explanation for the peculiar development of medicine, mathematics, and science in early Greece, as well as a description of the thought-processes of primitive and less primitive societies. In both respects he finds it seriously flawed. I...
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ژورنال
عنوان ژورنال: Philosophy of Science
سال: 2012
ISSN: 0031-8248,1539-767X
DOI: 10.1086/668043