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On the decay of attention in Science 
On the decay of attention in Science 
Pietro della Briotta Parolo 1 Raj Kumar Pan 1 Rumi Ghosh 
2 and Bernardo Huberman 3 Kimmo Kaski 1 and Santo 
Fortunato 1 
1Department of Biomedical Engineering and Computational Science, Aalto 
University School of Science, P.O. Box 12200, FI-00076, Finland 
2Robert Bosch LLC, Palo Alto, CA 94304, USA 
3Social Computing Lab Hewlett Packard Research LabsPalo Alto, California, USA 
November 25, 2014
On the decay of attention in Science 
Motivations 
It’s all about the Impact.. 
Number of publications (left) and citations (right) containing the words 
”citation” and ”impact” in their title.
On the decay of attention in Science 
Motivations 
Field Heterogeneity 
Field NP cmax hci 
Clinical Medicine 10833626 25604 11 
Molecular Biology 2849144 296498 24 
Chemistry 4565197 134441 14 
Physics 5583183 31759 13 
Our data is made of all publications (articles and reviews) written 
in English until the end of 2010 included in the database of the 
Thomson Reuters (TR) Web of Science.
On the decay of attention in Science 
Analysis 
Renormalization 
0 5 10 15 20 25 30 35 
250 
200 
150 
100 
50 
0 
1.0 
0.8 
0.6 
0.4 
0.2 
0.0 
−15 −10 −5 0 5 10 15 20
On the decay of attention in Science 
Analysis 
Renormalization 
0 5 10 15 20 25 30 35 
250 
200 
150 
100 
50 
0 
1.0 
0.8 
0.6 
0.4 
0.2 
0.0 
−15 −10 −5 0 5 10 15 20 
eci (t)  ci (t)/cmax 
i
On the decay of attention in Science 
Analysis 
Renormalization 
0 5 10 15 20 25 30 35 
250 
200 
150 
100 
50 
0 
Renormalized! 
1.0 
0.8 
0.6 
0.4 
0.2 
0.0 
Renormalized! 
−15 −10 −5 0 5 10 15 20 
eci (t)  ci (t)/cmax 
i
On the decay of attention in Science 
Analysis 
Renormalization 
1.0 
0.8 
0.6 
h˜ci 
0.4 
0.2 
0.0 
a - Physics b - Biology 
0 5 10 15 20 25 30 35 40 
Years 
1.0 
0.8 
0.6 
h˜ci 
0.4 
0.2 
0.0 
a - Physics 
b - Biology 
0 5 10 15 20 25 30 35 40 
Years 
1970 
1975 
1980 
1985 
1990
On the decay of attention in Science 
Analysis 
Fitting 
0 5 10 15 20 
Years 
1.0 
0.9 
0.8 
h˜ti 
0.7 
0.6 
0.5 
0.4
On the decay of attention in Science 
Analysis 
Fitting 
0 5 10 15 20 
Years 
1.0 
0.9 
0.8 
h˜ti 
0.7 
0.6 
0.5 
0.4 
eci (t) =
e exp(−et) + 
e 
eci (t) =
pt−p + 
p.
On the decay of attention in Science 
Analysis 
Fitting
On the decay of attention in Science 
Analysis 
Fitting 
1500 
1000 
500 
0 
F exp 
Medicine 
71% 
Biology 
80% 
0 500 1000 1500 
1500 
1000 
500 
0 
F exp 
Chemistry 
56% 
Physics 
61% 
0 500 1000 1500
On the decay of attention in Science 
Results 
6 
5 
4 
3 
2 
1 
0 
P() 
Medicine Biology 
4.5 
4.0 
3.5 
3.0 
2.5 
2.0 
1.5 
1.0 
0.5 
0.0 
0.0 0.2 0.4 0.6 0.8 1.0 
P() 
Chemistry 
Physics 
1970 
1975 
1980 
1985 
1990 
0.0 0.2 0.4 0.6 0.8 1.0
On the decay of attention in Science 
Results 
0.6 
0.5 
0.4 
0.3 
0.2 
0.1 
 
[0-10]% 
Medicine 
10 = 0.0022 
30 = 0.0056 
Biology 
10 = 0.0029 
30 = 0.0044 
Chemistry 
10 = 0.0054 
30 = 0.0138 
Physics 
10 = 0.0051 
30 = 0.0114 
0.6 
0.5 
0.4 
0.3 
0.2 
0.1 
1960 1965 1970 1975 1980 1985 1990 
 
[11-30]%
On the decay of attention in Science 
Results 
0.6 
0.5 
0.4 
0.3 
0.2 
0.1 
 
[0-10]% 
Medicine 
10 = 0.0022 
30 = 0.0056 
Biology 
10 = 0.0029 
30 = 0.0044 
Chemistry 
10 = 0.0054 
30 = 0.0138 
Physics 
10 = 0.0051 
30 = 0.0114 
0.6 
0.5 
0.4 
0.3 
0.2 
0.1 
1960 1965 1970 1975 1980 1985 1990 
 
[11-30]% 
The rate of evo-lution 
of  is ci-tation 
dependent 
(and maybe field 
too)!
On the decay of attention in Science 
Results 
Renormalizing...again... 
0 10 20 30 40 
Years 
106 
105 
104 
Number of Publications 
Medicine,  = 0.053 
Biology,  = 0.055 
Chemistry,  = 0.052 
Physics,  = 0.070 
Total, = 0.048
On the decay of attention in Science 
Results 
Renormalizing...again... 
0 10 20 30 40 
Years 
106 
105 
104 
Number of Publications 
Medicine,  = 0.053 
Biology,  = 0.055 
Chemistry,  = 0.052 
Physics,  = 0.070 
Total, = 0.048 
t 
12 
i = max{t s.t. eci (t)  
12 
}

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On the decay of attention in science

  • 1. On the decay of attention in Science On the decay of attention in Science Pietro della Briotta Parolo 1 Raj Kumar Pan 1 Rumi Ghosh 2 and Bernardo Huberman 3 Kimmo Kaski 1 and Santo Fortunato 1 1Department of Biomedical Engineering and Computational Science, Aalto University School of Science, P.O. Box 12200, FI-00076, Finland 2Robert Bosch LLC, Palo Alto, CA 94304, USA 3Social Computing Lab Hewlett Packard Research LabsPalo Alto, California, USA November 25, 2014
  • 2. On the decay of attention in Science Motivations It’s all about the Impact.. Number of publications (left) and citations (right) containing the words ”citation” and ”impact” in their title.
  • 3. On the decay of attention in Science Motivations Field Heterogeneity Field NP cmax hci Clinical Medicine 10833626 25604 11 Molecular Biology 2849144 296498 24 Chemistry 4565197 134441 14 Physics 5583183 31759 13 Our data is made of all publications (articles and reviews) written in English until the end of 2010 included in the database of the Thomson Reuters (TR) Web of Science.
  • 4. On the decay of attention in Science Analysis Renormalization 0 5 10 15 20 25 30 35 250 200 150 100 50 0 1.0 0.8 0.6 0.4 0.2 0.0 −15 −10 −5 0 5 10 15 20
  • 5. On the decay of attention in Science Analysis Renormalization 0 5 10 15 20 25 30 35 250 200 150 100 50 0 1.0 0.8 0.6 0.4 0.2 0.0 −15 −10 −5 0 5 10 15 20 eci (t) ci (t)/cmax i
  • 6. On the decay of attention in Science Analysis Renormalization 0 5 10 15 20 25 30 35 250 200 150 100 50 0 Renormalized! 1.0 0.8 0.6 0.4 0.2 0.0 Renormalized! −15 −10 −5 0 5 10 15 20 eci (t) ci (t)/cmax i
  • 7. On the decay of attention in Science Analysis Renormalization 1.0 0.8 0.6 h˜ci 0.4 0.2 0.0 a - Physics b - Biology 0 5 10 15 20 25 30 35 40 Years 1.0 0.8 0.6 h˜ci 0.4 0.2 0.0 a - Physics b - Biology 0 5 10 15 20 25 30 35 40 Years 1970 1975 1980 1985 1990
  • 8. On the decay of attention in Science Analysis Fitting 0 5 10 15 20 Years 1.0 0.9 0.8 h˜ti 0.7 0.6 0.5 0.4
  • 9. On the decay of attention in Science Analysis Fitting 0 5 10 15 20 Years 1.0 0.9 0.8 h˜ti 0.7 0.6 0.5 0.4 eci (t) =
  • 10. e exp(−et) + e eci (t) =
  • 12. On the decay of attention in Science Analysis Fitting
  • 13. On the decay of attention in Science Analysis Fitting 1500 1000 500 0 F exp Medicine 71% Biology 80% 0 500 1000 1500 1500 1000 500 0 F exp Chemistry 56% Physics 61% 0 500 1000 1500
  • 14. On the decay of attention in Science Results 6 5 4 3 2 1 0 P() Medicine Biology 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 0.0 0.2 0.4 0.6 0.8 1.0 P() Chemistry Physics 1970 1975 1980 1985 1990 0.0 0.2 0.4 0.6 0.8 1.0
  • 15. On the decay of attention in Science Results 0.6 0.5 0.4 0.3 0.2 0.1 [0-10]% Medicine 10 = 0.0022 30 = 0.0056 Biology 10 = 0.0029 30 = 0.0044 Chemistry 10 = 0.0054 30 = 0.0138 Physics 10 = 0.0051 30 = 0.0114 0.6 0.5 0.4 0.3 0.2 0.1 1960 1965 1970 1975 1980 1985 1990 [11-30]%
  • 16. On the decay of attention in Science Results 0.6 0.5 0.4 0.3 0.2 0.1 [0-10]% Medicine 10 = 0.0022 30 = 0.0056 Biology 10 = 0.0029 30 = 0.0044 Chemistry 10 = 0.0054 30 = 0.0138 Physics 10 = 0.0051 30 = 0.0114 0.6 0.5 0.4 0.3 0.2 0.1 1960 1965 1970 1975 1980 1985 1990 [11-30]% The rate of evo-lution of is ci-tation dependent (and maybe field too)!
  • 17. On the decay of attention in Science Results Renormalizing...again... 0 10 20 30 40 Years 106 105 104 Number of Publications Medicine, = 0.053 Biology, = 0.055 Chemistry, = 0.052 Physics, = 0.070 Total, = 0.048
  • 18. On the decay of attention in Science Results Renormalizing...again... 0 10 20 30 40 Years 106 105 104 Number of Publications Medicine, = 0.053 Biology, = 0.055 Chemistry, = 0.052 Physics, = 0.070 Total, = 0.048 t 12 i = max{t s.t. eci (t) 12 }
  • 19. On the decay of attention in Science Results Renormalizing...again... 0 10 20 30 40 Years 106 105 104 Number of Publications Medicine, = 0.053 Biology, = 0.055 Chemistry, = 0.052 Physics, = 0.070 Total, = 0.048 t 12 i = max{t s.t. eci (t) 12 } et 12 i,f = t 12 Xi t=tpeak Nfp (t) − Nfp (tpeak)
  • 20. On the decay of attention in Science Results Renormalizing...again... 0 10 20 30 40 Years 106 105 104 Number of Publications Medicine, = 0.053 Biology, = 0.055 Chemistry, = 0.052 Physics, = 0.070 Total, = 0.048 t 12 i = max{t s.t. eci (t) 12 } et 12 i,f = t 12 Xi t=tpeak Nfp (t) − Nfp i i 12 i,f i 12 (tpeak) 14 13 12 11 10 9 8 7 6 5 ht Medicine Biology Chemistry Physics 1.2 1.0 0.8 0.6 0.4 0.2 1970 1975 1980 1985 1990 1995 h˜t ×106 Finite Memory Effect?