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(abridged) We present the Significant Cosmic Holes in Universe (SCHU) method for identifying cosmic voids and loops of filaments in cosmological datasets and assigning their statistical significance using techniques from topological data analysis.
Persistent homology: An introduction and a new text representation for natural language processing, in: Proc. 23rd ICJAI, AAAI Press. pp. 1953–1959
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How to identify and weigh virialized clusters of galaxies in a complete redshift catalog
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Percolation technique for galaxy clustering
Klypin, A., Shandarin, S.F., 1993 · 1993
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Fragmenting the Universe. 3: The constructions and statistics of 3-D Voronoi tessellations
van de Weygaert, R., 1994 · 1994
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How filaments of galaxies are woven into the cosmic web
Bond, J.R., Kofman, L., Pogosyan, D., 1996 · 1996
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Continuous fields and discrete samples: reconstruction through Delaunay tessellations
Schaap, W., van de Weygaert, R., 2000 · 2000
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Topological persistence and simplification
Edelsbrunner, Letscher, Zomorodian, 2002 · 2002
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Spectroscopic target selection in the sloan digital sky survey: the main galaxy sample
Strauss, M.A., Weinberg, D.H., Lupton, R.H., Narayanan, V.K., Annis, J., Bernardi, M., Blanton, M., Burles, S., Connolly, A., Dalcanton, J., et al., 2002 · 2002
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The cosmological simulation code GADGET-2
Springel, V., 2005 · 2005
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Computing persistent homology
Zomorodian, A., Carlsson, G., 2005 · 2005
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Vines and vineyards by updating persistence in linear time
David Cohen-Steiner, Herbert Edelsbrunner, D.M., 2006 · 2006
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The multiscale morphology filter: identifying and extracting spatial patterns in the galaxy distribution
Aragón-Calvo, M.A., Jones, B.J., van ve Weygaert, R., van der Hulst, J., 2007 · 2007
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Properties of dark matter haloes in clusters, filaments, sheets and voids
Hahn, O., Porciani, C., Carollo, C.M., Dekel, A., 2007 · 2007
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Dionysus, a c++ library for computing persistent homology
Morozov, D., 2007 · 2007
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A cosmic watershed: the WVF void detection technique
Platen, E., van de Weygaert, R., Jones, B.J., 2007 · 2007
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The aspen–amsterdam void finder comparison project
Colberg, J.M., Pearce, F., Foster, C., Platen, E., Brunino, R., Neyrinck, M., Basilakos, S., Fairall, A., Feldman, H., Gottlöber, S., et al., 2008 · 2008
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LSST: from Science Drivers to Reference Design and Anticipated Data Products
Ivezić, Ž., Kahn, S.M., Tyson, J.A., Abel, B., Acosta, E., Allsman, R., Alonso, D., AlSayyad, Y., Anderson, S.F., Andrew, J., et al., 2008 · 2008
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ZOBOV: a parameter-free void-finding algorithm
Neyrinck, M.C., 2008 · 2008
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A dynamical classification of the cosmic web
Forero-Romero, J., Hoffman, Y., Gottlöber, S., Klypin, A., Yepes, G., 2009 · 2009
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Constraining the dark energy equation of state with cosmic voids
Lee, J., Park, D., 2009 · 2009
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van de Weygaert, R., Schaap, W., 2009 · 2009
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Chandra Cluster Cosmology Project. II. Samples and X-Ray Data Reduction
Vikhlinin, A., Burenin, R.A., Ebeling, H., Forman, W.R., Hornstrup, A., Jones, C., Kravtsov, A.V., Murray, S.S., Nagai, D., Quintana, H., et al., 2009 · 2009
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The spine of the cosmic web
Aragón-Calvo, M.A., Platen, E., van de Weygaert, R., Szalay, A.S., 2010 · 2010
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Computational topology: an introduction
Edelsbrunner, H., Harer, J., 2010 · 2010
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Precision cosmology with voids: definition, methods, dynamics
Lavaux, G., Wandelt, B.D., 2010 · 2010
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Geometric inference for probability measures
Chazal, F., Cohen-Steiner, D., Mérigot, Q., 2011 · 2011
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Dualities in persistent (co)homology
Cosmology and astrophysics from relaxed galaxy clusters - I. Sample selection
Mantz, A.B., Allen, S.W., Morris, R.G., Schmidt, R.W., von der Linden, A., Urban, O., 2015 · 2015
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Voids in massive neutrino cosmologies
Massara, E., Villaescusa-Navarro, F., Viel, M., Sutter, P.M., 2015 · 2015
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Counting voids to probe dark energy
Pisani, A., Sutter, P.M., Hamaus, N., Alizadeh, E., Biswas, R., Wandelt, B.D., Hirata, C.M., 2015 · 2015
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Planck 2015 results. XXIV. Cosmology from Sunyaev-Zeldovich cluster counts
Planck Collaboration, Ade, P.A.R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A.J., Barreiro, R.B., Bartlett, J.G., et al., 2016a · 2015
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De Silva, V., Morozov, D., Vejdemo-Johansson, M., 2011 · 2011
Cited alongside, same era.
The persistent cosmic web and its filamentary structure–I. Theory and implementation
Sousbie, T., 2011 · 2011
Cited alongside, same era.
The persistent cosmic web and its filamentary structure–II. Illustrations
Sousbie, T., Pichon, C., Kawahara, H., 2011 · 2011
Cited alongside, same era.
Alpha, betti and the megaparsec universe: on the topology of the cosmic web, in: Transactions on Computational Science XIV, Springer-Verlag. pp. 60–101
van de Weygaert, R., Vegter, G., Edelsbrunner, H., Jones, B.J., Pranav, P., Park, C., Hellwing, W.A., Eldering, B., Kruithof, N., Bos, E., et al., 2011 · 2011
Cited alongside, same era.
The darkness that shaped the void: dark energy and cosmic voids
Bos, E.P., van de Weygaert, R., Dolag, K., Pettorino, V., 2012 · 2012
Cited alongside, same era.
NEXUS: tracing the cosmic web connection
Cautun, M., van de Weygaert, R., Jones, B.J., 2012 · 2012
Cited alongside, same era.
ORIGAMI: delineating halos using phase-space folds
Falck, B.L., Neyrinck, M.C., Szalay, A.S., 2012 · 2012
Cited alongside, same era.
Planck Collaboration, Ade, P.A.R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A.J., Barreiro, R.B., Bartlett, J.G., et al., 2016b · 2015
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Planck 2015 results - xxi. the integrated sachs-wolfe effect
Planck Collaboration, Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Bartolo, N., et al., 2016c · 2015
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Multi-stream portrait of the cosmic web
Ramachandra, N.S., Shandarin, S.F., 2015 · 2015
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A stable multi-scale kernel for topological machine learning, in: Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern. Recognit., pp. 4741–4748
Reininghaus, J., Huber, S., Bauer, U., Kwitt, R., 2015 · 2015
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CMB-S4 Science Book, First Edition
Abazajian, K.N., Adshead, P., Ahmed, Z., Allen, S.W., Alonso, D., Arnold, K.S., Baccigalupi, C., Bartlett, J.G., Battaglia, N., Benson, B.A., et al., 2016 · 2016
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Cosmology from cosmic shear with dark energy survey science verification data
Abbott, T., Abdalla, F.B., Allam, S., Amara, A., Annis, J., Armstrong, R., Bacon, D., Banerji, M., Bauer, A.H., Baxter, E., et al. (The Dark Energy Survey Collaboration), 2016 · 2016
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Persistent homology analysis of brain artery trees
Bendich, P., Marron, J.S., Miller, E., Pieloch, A., Skwerer, S., 2016 · 2016
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Redshift-space distortions around voids
Cai, Y.C., Taylor, A., Peacock, J.A., Padilla, N., 2016 · 2016
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The DESI Experiment Part I: Science,Targeting, and Survey Design
DESI Collaboration, Aghamousa, A., Aguilar, J., Ahlen, S., Alam, S., Allen, L.E., Allende Prieto, C., Annis, J., Bailey, S., Balland, C., et al., 2016 · 2016
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Constraints on cosmology and gravity from the dynamics of voids
Hamaus, N., Pisani, A., Sutter, P.M., Lavaux, G., Escoffier, S., Wandelt, B.D., Weller, J., 2016 · 2016
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Testing cosmology with a catalogue of voids in the BOSS galaxy surveys
Nadathur, S., 2016 · 2016
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The topology of the cosmic web in terms of persistent Betti numbers
Pranav, P., Edelsbrunner, H., van de Weygaert, R., Vegter, G., Kerber, M., Jones, B.J., Wintraecken, M., 2016 · 2016
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The lensing and temperature imprints of voids on the cosmic microwave background
Cai, Y.C., Neyrinck, M., Mao, Q., Peacock, J.A., Szapudi, I., Berlind, A.A., 2017 · 2017
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Robust topological inference: Distance to a measure and kernel distance
Chazal, F., Fasy, B., Lecci, F., Michel, B., Rinaldo, A., Rinaldo, A., Wasserman, L., 2017 · 2017
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Cosmic voids and void lensing in the dark energy survey science verification data
Sánchez, C., Clampitt, J., Kovacs, A., Jain, B., García-Bellido, J., Nadathur, S., Gruen, D., Hamaus, N., Huterer, D., Vielzeuf, P., et al., 2017 · 2017
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Abolfathi, B., Aguado, D.S., Aguilar, G., Allende Prieto, C., Almeida, A., Ananna, T.T., Anders, F., Anderson, S.F., Andrews, B.H., Anguiano, B., et al., 2018 · 2018
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Functional summaries of persistence diagrams
Berry, E., Chen, Y.C., Cisewski-Kehe, J., Fasy, B.T., 2018 · 2018
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Joudaki, S., Blake, C., Johnson, A., Amon, A., Asgari, M., Choi, A., Erben, T., Glazebrook, K., Harnois-Déraps, J., Heymans, C., et al., 2018 · 2018
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Massive Neutrinos Leave Fingerprints on Cosmic Voids
Kreisch, C.D., Pisani, A., Carbone, C., Liu, J., Hawken, A.J., Massara, E., Spergel, D.N., Wandelt, B.D., 2018 · 2018
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Tracing the cosmic web
Libeskind, N.I., van de Weygaert, R., Cautun, M., Falck, B., Tempel, E., Abel, T., Alpaslan, M., Aragón-Calvo, M.A., Forero-Romero, J.E., Gonzalez, R., et al., 2018 · 2018
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MassiveNuS: cosmological massive neutrino simulations
Liu, J., Bird, S., Zorrilla Matilla, J.M., Hill, J.C., Haiman, Z., Madhavacheril, M.S., Petri, A., Spergel, D.N., 2018 · 2018
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The Simons Observatory: Science goals and forecasts
The Simons Observatory Collaboration, Ade, P., Aguirre, J., Ahmed, Z., Aiola, S., Ali, A., Alonso, D., Alvarez, M.A., Arnold, K., Ashton, P., et al., 2018 · 2018
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Dark Energy Survey Year 1 results: Cosmological constraints from cosmic shear
Troxel, M.A., MacCrann, N., Zuntz, J., Eifler, T.F., Krause, E., Dodelson, S., Gruen, D., Blazek, J., Friedrich, O., Samuroff, S., et al., 2018 · 2018
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A kinematic classification of the cosmic web
Hoffman, Y., Metuki, O., Yepes, G., Gottlöber, S., Forero-Romero, J.E., Libeskind, N.I., Knebe, A., 2012 · 2057
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