2015 Mathematical medicine and biology : a journal of the IMA
* Inferring global network properties from egocentric data with applications to epidemics.
- Social networks are often only partly observed, and it is sometimes desirable to infer global properties of the network from 'egocentric' data. In the current paper, we study different types of egocentric data, and show which global network properties are consistent with data. Two global network properties are considered: the size of the largest connected component (the giant) and the size of an epidemic outbreak taking place on the network. The main conclusion is that, in most cases, egocentric data allow for a large range of possible sizes of the giant and the outbreak, implying that egocentric data carry very little information about these global properties. The asymptotic size of the giant and the outbreak is also characterized, assuming the network is selected uniformly among networks with prescribed egocentric data.
Overview of verb observe
The verb observe has 9 senses (first 8 from tagged texts)
1. (39) detect, observe, find, discover, notice -- (discover or determine the existence, presence,
or fact of; "She detected high levels of lead in her drinking water"; "We found traces of lead in
the paint")
2. (17) note, observe, mention, remark -- (make mention of; "She observed that his presentation took
up too much time"; "They noted that it was a fine day to go sailing")
3. (12) note, take note, observe -- (observe with care or pay close attention to; "Take note of this
chemical reaction")
4. (10) observe -- (watch attentively; "Please observe the reaction of these two chemicals")
5. (4) respect, honor, honour, abide by, observe -- (show respect towards; "honor your parents!")
6. (3) observe, celebrate, keep -- (behave as expected during of holidays or rites; "Keep the
commandments"; "celebrate Christmas"; "Observe Yom Kippur")
7. (2) watch, observe, follow, watch over, keep an eye on -- (follow with the eyes or the mind;
"Keep an eye on the baby, please!"; "The world is watching Sarajevo"; "She followed the men with the
binoculars")
8. (1) observe, keep, maintain -- (stick to correctly or closely; "The pianist kept time with the
metronome"; "keep count"; "I cannot keep track of all my employees")
9. observe, keep -- (conform one's action or practice to; "keep appointments"; "she never keeps her
promises"; "We kept to the original conditions of the contract")
Overview of adj observed
The adj observed has 1 sense (first 1 from tagged texts)
1. (7) ascertained, discovered, observed -- (discovered or determined by scientific observation;
"variation in the ascertained flux depends on a number of factors"; "the discovered behavior norms";
"discovered differences in achievement"; "no explanation for the observed phenomena")
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