57,655 research outputs found
Sequential Adaptive Detection for In-Situ Transmission Electron Microscopy (TEM)
We develop new efficient online algorithms for detecting transient sparse
signals in TEM video sequences, by adopting the recently developed framework
for sequential detection jointly with online convex optimization [1]. We cast
the problem as detecting an unknown sparse mean shift of Gaussian observations,
and develop adaptive CUSUM and adaptive SSRS procedures, which are based on
likelihood ratio statistics with post-change mean vector being online maximum
likelihood estimators with . We demonstrate the meritorious performance
of our algorithms for TEM imaging using real data
Intermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum (su(2)) algebra
In this paper, we first discuss the general properties of an
intermediate-statistics quantum bracket, ,
which corresponds to intermediate statistics in which the maximum occupation
number of one quantum state is an arbitrary integer, . A further study of
the operator realization of intermediate statistics is given. We construct the
intermediate-statistics coherent state. An intermediate-statistics oscillator
is constructed, which returns to bosonic and fermionic oscillators respectively
when and . The energy spectrum of such an
intermediate-statistics oscillator is calculated. Finally, we discuss the
intermediate-statistics representation of angular momentum () algebra.
Moreover, a further study of the operator realization of intermediate
statistics is given in the Appendix.Comment: 12 pages, no figures. Revte
Evolution of emotions on networks leads to the evolution of cooperation in social dilemmas
We show that the resolution of social dilemmas in random graphs and scale-free networks is facilitated by
imitating not the strategy of better-performing players but, rather, their emotions. We assume sympathy and
envy to be the two emotions that determine the strategy of each player in any given interaction, and we define
them as the probabilities of cooperating with players having a lower and a higher payoff, respectively. Starting
with a population where all possible combinations of the two emotions are available, the evolutionary process
leads to a spontaneous fixation to a single emotional profile that is eventually adopted by all players. However,
this emotional profile depends not only on the payoffs but also on the heterogeneity of the interaction network.
Homogeneous networks, such as lattices and regular random graphs, lead to fixations that are characterized by
high sympathy and high envy, while heterogeneous networks lead to low or modest sympathy but also low envy.
Our results thus suggest that public emotions and the propensity to cooperate at large depend, and are in fact
determined by, the properties of the interaction network
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