9 Towards the “Shape” of Cosmological Observables and the String …
241
13. Bond, J.R., Kofman, L., Pogosyan, D.: How filaments of galaxies are woven into the cosmic
web. Nature 380(6575), 603–606 (1996)
14. Bousso, R., Polchinski, J.: Quantization of four form fluxes and dynamical neutralization of
the cosmological constant. JHEP 06, 006 (2000). https://doi.org/10.1088/1126-6708/2000/
06/006
15. Brüel-Gabrielsson, R., Nelson, B.J., Dwaraknath, A., Skraba, P., Guibas, L.J., Carlsson, G.:
A topology layer for machine learning. arXiv preprint arXiv:1905.12200 (2019)
16. Bubenik, P.: Statistical topological data analysis using persistence landscapes. J. Mach. Learn.
Res. 16(1), 77–102 (2015)
17. Bull, K., He, Y.H., Jejjala, V., Mishra, C.: Machine learning CICY threefolds (2018)
18. Bull, K., He, Y.H., Jejjala, V., Mishra, C.: Getting CICY high. Phys. Lett. B795, 700–706
(2019). https://doi.org/10.1016/j.physletb.2019.06.067
19. Carifio, J., Halverson, J., Krioukov, D., Nelson, B.D.: Machine learning in the string landscape.
JHEP 09, 157 (2017). https://doi.org/10.1007/JHEP09(2017)157
20. Carriere, M., Chazal, F., Ike, Y., Lacombe, T., Royer, M., Umeda, Y.: Perslay: a neural network
layer for persistence diagrams and new graph topological signatures. Stat 1050, 17 (2019)
21. Chazal, F., Michel, B.: An introduction to topological data analysis: fundamental and practical
aspects for data scientists. arXiv preprint arXiv:1710.04019 (2017)
22. Chen, X., Huang, M.x., Kachru, S., Shiu, G.: Observational signatures and non-Gaussianities
of general single field inflation. JCAP 0701, 002 (2007). https://doi.org/10.1088/1475-7516/
2007/01/002
23. Chingangbam, P., Park, C., Yogendran, K.P., van de Weygaert, R.: Hot and cold spot counts
as probes of non-gaussianity in the cosmic microwave background. Astrophys. J. 755, 122
(2012). https://doi.org/10.1088/0004-637X/755/2/122
24. Cirafici, M.: Persistent homology and string vacua. JHEP 03, 045 (2016). https://doi.org/10.
1007/JHEP03(2016)045
25. Codis, S., Pogosyan, D., Pichon, C.: On the connectivity of the cosmic web: theory and
implications for cosmology and galaxy formation. Mon. Not. Roy. Astron. Soc. 479(1), 973–
993 (2018). https://doi.org/10.1093/mnras/sty1643, https://doi.org/10.1093/mnras/stz3535,
[Erratum: Mon. Not. Roy. Astron. Soc.491, no.4,5794(2020)]
26. Cohen-Steiner, D., Edelsbrunner, H., Harer, J.: Stability of persistence diagrams. Discrete
Comput. Geom. 37(1), 103–120 (2007)
27. Cole, A., Loges, G.J., Shiu, G.: Quantitative and interpretable order parameters for phase
transitions from persistent homology 9 (2020)
28. Cole, A., Schachner, A., Shiu, G.: Searching the Landscape of Flux Vacua with Genetic
Algorithms. JHEP 11, 045 (2019). https://doi.org/10.1007/JHEP11(2019)045
29. Cole, A., Shiu, G.: Persistent homology and non-gaussianit. JCAP 1803(03), 025 (2018).
https://doi.org/10.1088/1475-7516/2018/03/025
30. Cole, A., Shiu, G.: Topological data analysis for the string landscape. JHEP 03, 054 (2019).
https://doi.org/10.1007/JHEP03(2019)054
31. Conlon, J.P., Quevedo, F.: On the explicit construction and statistics of Calabi-Yau flux vacua.
JHEP 10, 039 (2004). https://doi.org/10.1088/1126-6708/2004/10/039
32. Constantin, A., He, Y.H., Lukas, A.: Counting String Theory Standard Models (2018)
33. De Silva, V., Carlsson, G.E.: Topological estimation using witness complexes. SPBG 4, 157–
166 (2004)
34. Denef, F., Douglas, M.R.: Distributions of flux vacua. JHEP 05, 072 (2004). https://doi.org/
10.1088/1126-6708/2004/05/072
35. Denef, F., Douglas, M.R.: Distributions of nonsupersymmetric flux vacua. JHEP 03, 061
(2005). https://doi.org/10.1088/1126-6708/2005/03/061
36. DeWolfe, O., Giryavets, A., Kachru, S., Taylor, W.: Enumerating flux vacua with enhanced
symmetries. JHEP 02, 037 (2005). https://doi.org/10.1088/1126-6708/2005/02/037
37. Dienes, K.R.: Statistics on the heterotic landscape: Gauge groups and cosmological constants
of four-dimensional heterotic strings. Phys. Rev. D 73, 106010 (2006). https://doi.org/10.
1103/PhysRevD.73.106010
241
13. Bond, J.R., Kofman, L., Pogosyan, D.: How filaments of galaxies are woven into the cosmic
web. Nature 380(6575), 603–606 (1996)
14. Bousso, R., Polchinski, J.: Quantization of four form fluxes and dynamical neutralization of
the cosmological constant. JHEP 06, 006 (2000). https://doi.org/10.1088/1126-6708/2000/
06/006
15. Brüel-Gabrielsson, R., Nelson, B.J., Dwaraknath, A., Skraba, P., Guibas, L.J., Carlsson, G.:
A topology layer for machine learning. arXiv preprint arXiv:1905.12200 (2019)
16. Bubenik, P.: Statistical topological data analysis using persistence landscapes. J. Mach. Learn.
Res. 16(1), 77–102 (2015)
17. Bull, K., He, Y.H., Jejjala, V., Mishra, C.: Machine learning CICY threefolds (2018)
18. Bull, K., He, Y.H., Jejjala, V., Mishra, C.: Getting CICY high. Phys. Lett. B795, 700–706
(2019). https://doi.org/10.1016/j.physletb.2019.06.067
19. Carifio, J., Halverson, J., Krioukov, D., Nelson, B.D.: Machine learning in the string landscape.
JHEP 09, 157 (2017). https://doi.org/10.1007/JHEP09(2017)157
20. Carriere, M., Chazal, F., Ike, Y., Lacombe, T., Royer, M., Umeda, Y.: Perslay: a neural network
layer for persistence diagrams and new graph topological signatures. Stat 1050, 17 (2019)
21. Chazal, F., Michel, B.: An introduction to topological data analysis: fundamental and practical
aspects for data scientists. arXiv preprint arXiv:1710.04019 (2017)
22. Chen, X., Huang, M.x., Kachru, S., Shiu, G.: Observational signatures and non-Gaussianities
of general single field inflation. JCAP 0701, 002 (2007). https://doi.org/10.1088/1475-7516/
2007/01/002
23. Chingangbam, P., Park, C., Yogendran, K.P., van de Weygaert, R.: Hot and cold spot counts
as probes of non-gaussianity in the cosmic microwave background. Astrophys. J. 755, 122
(2012). https://doi.org/10.1088/0004-637X/755/2/122
24. Cirafici, M.: Persistent homology and string vacua. JHEP 03, 045 (2016). https://doi.org/10.
1007/JHEP03(2016)045
25. Codis, S., Pogosyan, D., Pichon, C.: On the connectivity of the cosmic web: theory and
implications for cosmology and galaxy formation. Mon. Not. Roy. Astron. Soc. 479(1), 973–
993 (2018). https://doi.org/10.1093/mnras/sty1643, https://doi.org/10.1093/mnras/stz3535,
[Erratum: Mon. Not. Roy. Astron. Soc.491, no.4,5794(2020)]
26. Cohen-Steiner, D., Edelsbrunner, H., Harer, J.: Stability of persistence diagrams. Discrete
Comput. Geom. 37(1), 103–120 (2007)
27. Cole, A., Loges, G.J., Shiu, G.: Quantitative and interpretable order parameters for phase
transitions from persistent homology 9 (2020)
28. Cole, A., Schachner, A., Shiu, G.: Searching the Landscape of Flux Vacua with Genetic
Algorithms. JHEP 11, 045 (2019). https://doi.org/10.1007/JHEP11(2019)045
29. Cole, A., Shiu, G.: Persistent homology and non-gaussianit. JCAP 1803(03), 025 (2018).
https://doi.org/10.1088/1475-7516/2018/03/025
30. Cole, A., Shiu, G.: Topological data analysis for the string landscape. JHEP 03, 054 (2019).
https://doi.org/10.1007/JHEP03(2019)054
31. Conlon, J.P., Quevedo, F.: On the explicit construction and statistics of Calabi-Yau flux vacua.
JHEP 10, 039 (2004). https://doi.org/10.1088/1126-6708/2004/10/039
32. Constantin, A., He, Y.H., Lukas, A.: Counting String Theory Standard Models (2018)
33. De Silva, V., Carlsson, G.E.: Topological estimation using witness complexes. SPBG 4, 157–
166 (2004)
34. Denef, F., Douglas, M.R.: Distributions of flux vacua. JHEP 05, 072 (2004). https://doi.org/
10.1088/1126-6708/2004/05/072
35. Denef, F., Douglas, M.R.: Distributions of nonsupersymmetric flux vacua. JHEP 03, 061
(2005). https://doi.org/10.1088/1126-6708/2005/03/061
36. DeWolfe, O., Giryavets, A., Kachru, S., Taylor, W.: Enumerating flux vacua with enhanced
symmetries. JHEP 02, 037 (2005). https://doi.org/10.1088/1126-6708/2005/02/037
37. Dienes, K.R.: Statistics on the heterotic landscape: Gauge groups and cosmological constants
of four-dimensional heterotic strings. Phys. Rev. D 73, 106010 (2006). https://doi.org/10.
1103/PhysRevD.73.106010