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1. Combinatorial invariants of finite metric spaces and the Wasserstein arrangement

Author

Delucchi, Emanuele, Kühne, Lukas, and Mühlherr, Leonie

Subjects
Mathematics - Combinatorics
Abstract

In 2010, Vershik proposed a new combinatorial invariant of metric spaces given by a class of polytopes that arise in the theory of optimal transport and are called ``Wasserstein polytopes'' or ``Kantorovich-Rubinstein polytopes'' in the literature. Answering a question posed by Vershik, we describe the stratification of the metric cone induced by the combinatorial type of these polytopes through a hyperplane arrangement. Moreover, we study its relationships with the stratification by combinatorial type of the injective hull (i.e., the tight span) and, in particular, with certain types of metrics arising in phylogenetic analysis. We also compute enumerative invariants in the case of metrics on up to six points., Comment: 32 pages, several figures

Published
2024

2. Euclid. I. Overview of the Euclid mission

Author

Euclid Collaboration, Mellier, Y., Abdurro'uf, Barroso, J. A. Acevedo, Achúcarro, A., Adamek, J., Adam, R., Addison, G. E., Aghanim, N., Aguena, M., Ajani, V., Akrami, Y., Al-Bahlawan, A., Alavi, A., Albuquerque, I. S., Alestas, G., Alguero, G., Allaoui, A., Allen, S. W., Allevato, V., Alonso-Tetilla, A. V., Altieri, B., Alvarez-Candal, A., Alvi, S., Amara, A., Amendola, L., Amiaux, J., Andika, I. T., Andreon, S., Andrews, A., Angora, G., Angulo, R. E., Annibali, F., Anselmi, A., Anselmi, S., Arcari, S., Archidiacono, M., Aricò, G., Arnaud, M., Arnouts, S., Asgari, M., Asorey, J., Atayde, L., Atek, H., Atrio-Barandela, F., Aubert, M., Aubourg, E., Auphan, T., Auricchio, N., Aussel, B., Aussel, H., Avelino, P. P., Avgoustidis, A., Avila, S., Awan, S., Azzollini, R., Baccigalupi, C., Bachelet, E., Bacon, D., Baes, M., Bagley, M. B., Bahr-Kalus, B., Balaguera-Antolinez, A., Balbinot, E., Balcells, M., Baldi, M., Baldry, I., Balestra, A., Ballardini, M., Ballester, O., Balogh, M., Bañados, E., Barbier, R., Bardelli, S., Baron, M., Barreiro, T., Barrena, R., Barriere, J. -C., Barros, B. J., Barthelemy, A., Bartolo, N., Basset, A., Battaglia, P., Battisti, A. J., Baugh, C. M., Baumont, L., Bazzanini, L., Beaulieu, J. -P., Beckmann, V., Belikov, A. N., Bel, J., Bellagamba, F., Bella, M., Bellini, E., Benabed, K., Bender, R., Benevento, G., Bennett, C. L., Benson, K., Bergamini, P., Bermejo-Climent, J. R., Bernardeau, F., Bertacca, D., Berthe, M., Berthier, J., Bethermin, M., Beutler, F., Bevillon, C., Bhargava, S., Bhatawdekar, R., Bianchi, D., Bisigello, L., Biviano, A., Blake, R. P., Blanchard, A., Blazek, J., Blot, L., Bosco, A., Bodendorf, C., Boenke, T., Böhringer, H., Boldrini, P., Bolzonella, M., Bonchi, A., Bonici, M., Bonino, D., Bonino, L., Bonvin, C., Bon, W., Booth, J. T., Borgani, S., Borlaff, A. S., Borsato, E., Bose, B., Botticella, M. T., Boucaud, A., Bouche, F., Boucher, J. S., Boutigny, D., Bouvard, T., Bouwens, R., Bouy, H., Bowler, R. A. A., Bozza, V., Bozzo, E., Branchini, E., Brando, G., Brau-Nogue, S., Brekke, P., Bremer, M. N., Brescia, M., Breton, M. -A., Brinchmann, J., Brinckmann, T., Brockley-Blatt, C., Brodwin, M., Brouard, L., Brown, M. L., Bruton, S., Bucko, J., Buddelmeijer, H., Buenadicha, G., Buitrago, F., Burger, P., Burigana, C., Busillo, V., Busonero, D., Cabanac, R., Cabayol-Garcia, L., Cagliari, M. S., Caillat, A., Caillat, L., Calabrese, M., Calabro, A., Calderone, G., Calura, F., Quevedo, B. Camacho, Camera, S., Campos, L., Canas-Herrera, G., Candini, G. P., Cantiello, M., Capobianco, V., Cappellaro, E., Cappelluti, N., Cappi, A., Caputi, K. I., Cara, C., Carbone, C., Cardone, V. F., Carella, E., Carlberg, R. G., Carle, M., Carminati, L., Caro, F., Carrasco, J. M., Carretero, J., Carrilho, P., Duque, J. Carron, Carry, B., Carvalho, A., Carvalho, C. S., Casas, R., Casas, S., Casenove, P., Casey, C. M., Cassata, P., Castander, F. J., Castelao, D., Castellano, M., Castiblanco, L., Castignani, G., Castro, T., Cavet, C., Cavuoti, S., Chabaud, P. -Y., Chambers, K. C., Charles, Y., Charlot, S., Chartab, N., Chary, R., Chaumeil, F., Cho, H., Chon, G., Ciancetta, E., Ciliegi, P., Cimatti, A., Cimino, M., Cioni, M. -R. L., Claydon, R., Cleland, C., Clément, B., Clements, D. L., Clerc, N., Clesse, S., Codis, S., Cogato, F., Colbert, J., Cole, R. E., Coles, P., Collett, T. E., Collins, R. S., Colodro-Conde, C., Colombo, C., Combes, F., Conforti, V., Congedo, G., Conseil, S., Conselice, C. J., Contarini, S., Contini, T., Conversi, L., Cooray, A. R., Copin, Y., Corasaniti, P. -S., Corcho-Caballero, P., Corcione, L., Cordes, O., Corpace, O., Correnti, M., Costanzi, M., Costille, A., Courbin, F., Mifsud, L. Courcoult, Courtois, H. M., Cousinou, M. -C., Covone, G., Cowell, T., Cragg, C., Cresci, G., Cristiani, S., Crocce, M., Cropper, M., Crouzet, P. E, Csizi, B., Cuby, J. -G., Cucchetti, E., Cucciati, O., Cuillandre, J. -C., Cunha, P. A. C., Cuozzo, V., Daddi, E., D'Addona, M., Dafonte, C., Dagoneau, N., Dalessandro, E., Dalton, G. B., D'Amico, G., Dannerbauer, H., Danto, P., Das, I., Da Silva, A., da Silva, R., Doumerg, W. d'Assignies, Daste, G., Davies, J. E., Davini, S., Dayal, P., de Boer, T., Decarli, R., De Caro, B., Degaudenzi, H., Degni, G., de Jong, J. T. A., de la Bella, L. F., de la Torre, S., Delhaise, F., Delley, D., Delucchi, G., De Lucia, G., Denniston, J., De Paolis, F., De Petris, M., Derosa, A., Desai, S., Desjacques, V., Despali, G., Desprez, G., De Vicente-Albendea, J., Deville, Y., Dias, J. D. F., Díaz-Sánchez, A., Diaz, J. J., Di Domizio, S., Diego, J. M., Di Ferdinando, D., Di Giorgio, A. M., Dimauro, P., Dinis, J., Dolag, K., Dolding, C., Dole, H., Sánchez, H. Domínguez, Doré, O., Dournac, F., Douspis, M., Dreihahn, H., Droge, B., Dryer, B., Dubath, F., Duc, P. -A., Ducret, F., Duffy, C., Dufresne, F., Duncan, C. A. J., Dupac, X., Duret, V., Durrer, R., Durret, F., Dusini, S., Ealet, A., Eggemeier, A., Eisenhardt, P. R. M., Elbaz, D., Elkhashab, M. Y., Ellien, A., Endicott, J., Enia, A., Erben, T., Vigo, J. A. Escartin, Escoffier, S., Sanz, I. Escudero, Essert, J., Ettori, S., Ezziati, M., Fabbian, G., Fabricius, M., Fang, Y., Farina, A., Farina, M., Farinelli, R., Farrens, S., Faustini, F., Feltre, A., Ferguson, A. M. N., Ferrando, P., Ferrari, A. G., Ferré-Mateu, A., Ferreira, P. G., Ferreras, I., Ferrero, I., Ferriol, S., Ferruit, P., Filleul, D., Finelli, F., Finkelstein, S. L., Finoguenov, A., Fiorini, B., Flentge, F., Focardi, P., Fonseca, J., Fontana, A., Fontanot, F., Fornari, F., Fosalba, P., Fossati, M., Fotopoulou, S., Fouchez, D., Fourmanoit, N., Frailis, M., Fraix-Burnet, D., Franceschi, E., Franco, A., Franzetti, P., Freihoefer, J., Frenk, C. . S., Frittoli, G., Frugier, P. -A., Frusciante, N., Fumagalli, A., Fumagalli, M., Fumana, M., Fu, Y., Gabarra, L., Galeotta, S., Galluccio, L., Ganga, K., Gao, H., García-Bellido, J., Garcia, K., Gardner, J. P., Garilli, B., Gaspar-Venancio, L. -M., Gasparetto, T., Gautard, V., Gavazzi, R., Gaztanaga, E., Genolet, L., Santos, R. Genova, Gentile, F., George, K., Gerbino, M., Ghaffari, Z., Giacomini, F., Gianotti, F., Gibb, G. P. S., Gillard, W., Gillis, B., Ginolfi, M., Giocoli, C., Girardi, M., Giri, S. K., Goh, L. W. K., Gómez-Alvarez, P., Gonzalez-Perez, V., Gonzalez, A. H., Gonzalez, E. J., Gonzalez, J. C., Beauchamps, S. Gouyou, Gozaliasl, G., Gracia-Carpio, J., Grandis, S., Granett, B. R., Granvik, M., Grazian, A., Gregorio, A., Grenet, C., Grillo, C., Grupp, F., Gruppioni, C., Gruppuso, A., Guerbuez, C., Guerrini, S., Guidi, M., Guillard, P., Gutierrez, C. M., Guttridge, P., Guzzo, L., Gwyn, S., Haapala, J., Haase, J., Haddow, C. R., Hailey, M., Hall, A., Hall, D., Hamaus, N., Haridasu, B. S., Harnois-Déraps, J., Harper, C., Hartley, W. G., Hasinger, G., Hassani, F., Hatch, N. A., Haugan, S. V. H., Häußler, B., Heavens, A., Heisenberg, L., Helmi, A., Helou, G., Hemmati, S., Henares, K., Herent, O., Hernández-Monteagudo, C., Heuberger, T., Hewett, P. C., Heydenreich, S., Hildebrandt, H., Hirschmann, M., Hjorth, J., Hoar, J., Hoekstra, H., Holland, A. D., Holliman, M. S., Holmes, W., Hook, I., Horeau, B., Hormuth, F., Hornstrup, A., Hosseini, S., Hu, D., Hudelot, P., Hudson, M. J., Huertas-Company, M., Huff, E. M., Hughes, A. C. N., Humphrey, A., Hunt, L. K., Huynh, D. D., Ibata, R., Ichikawa, K., Iglesias-Groth, S., Ilbert, O., Ilić, S., Ingoglia, L., Iodice, E., Israel, H., Israelsson, U. E., Izzo, L., Jablonka, P., Jackson, N., Jacobson, J., Jafariyazani, M., Jahnke, K., Jain, B., Jansen, H., Jarvis, M. J., Jasche, J., Jauzac, M., Jeffrey, N., Jhabvala, M., Jimenez-Teja, Y., Muñoz, A. Jimenez, Joachimi, B., Johansson, P. H., Joudaki, S., Jullo, E., Kajava, J. J. E., Kang, Y., Kannawadi, A., Kansal, V., Karagiannis, D., Kärcher, M., Kashlinsky, A., Kazandjian, M. V., Keck, F., Keihänen, E., Kerins, E., Kermiche, S., Khalil, A., Kiessling, A., Kiiveri, K., Kilbinger, M., Kim, J., King, R., Kirkpatrick, C. C., Kitching, T., Kluge, M., Knabenhans, M., Knapen, J. H., Knebe, A., Kneib, J. -P., Kohley, R., Koopmans, L. V. E., Koskinen, H., Koulouridis, E., Kou, R., Kovács, A., Kovačić, I., Kowalczyk, A., Koyama, K., Kraljic, K., Krause, O., Kruk, S., Kubik, B., Kuchner, U., Kuijken, K., Kümmel, M., Kunz, M., Kurki-Suonio, H., Lacasa, F., Lacey, C. G., La Franca, F., Lagarde, N., Lahav, O., Laigle, C., La Marca, A., La Marle, O., Lamine, B., Lam, M. C., Lançon, A., Landt, H., Langer, M., Lapi, A., Larcheveque, C., Larsen, S. S., Lattanzi, M., Laudisio, F., Laugier, D., Laureijs, R., Laurent, V., Lavaux, G., Lawrenson, A., Lazanu, A., Lazeyras, T., Boulc'h, Q. Le, Brun, A. M. C. Le, Brun, V. Le, Leclercq, F., Lee, S., Graet, J. Le, Legrand, L., Leirvik, K. N., Jeune, M. Le, Lembo, M., Mignant, D. Le, Lepinzan, M. D., Lepori, F., Reun, A. Le, Leroy, G., Lesci, G. F., Lesgourgues, J., Leuzzi, L., Levi, M. E., Liaudat, T. I., Libet, G., Liebing, P., Ligori, S., Lilje, P. B., Lin, C. -C., Linde, D., Linder, E., Lindholm, V., Linke, L., Li, S. -S., Liu, S. J., Lloro, I., Lobo, F. S. N., Lodieu, N., Lombardi, M., Lombriser, L., Lonare, P., Longo, G., López-Caniego, M., Lopez, X. Lopez, Alvarez, J. Lorenzo, Loureiro, A., Loveday, J., Lusso, E., Macias-Perez, J., Maciaszek, T., Maggio, G., Magliocchetti, M., Magnard, F., Magnier, E. A., Magro, A., Mahler, G., Mainetti, G., Maino, D., Maiorano, E., Malavasi, N., Mamon, G. A., Mancini, C., Mandelbaum, R., Manera, M., Manjón-García, A., Mannucci, F., Mansutti, O., Outeiro, M. Manteiga, Maoli, R., Maraston, C., Marcin, S., Marcos-Arenal, P., Margalef-Bentabol, B., Marggraf, O., Marinucci, D., Marinucci, M., Markovic, K., Marleau, F. R., Marpaud, J., Martignac, J., Martín-Fleitas, J., Martin-Moruno, P., Martin, E. L., Martinelli, M., Martinet, N., Martin, H., Martins, C. J. A. P., Marulli, F., Massari, D., Massey, R., Masters, D. C., Matarrese, S., Matsuoka, Y., Matthew, S., Maughan, B. J., Mauri, N., Maurin, L., Maurogordato, S., McCarthy, K., McConnachie, A. W., McCracken, H. J., McDonald, I., McEwen, J. D., McPartland, C. J. R., Medinaceli, E., Mehta, V., Mei, S., Melchior, M., Melin, J. -B., Ménard, B., Mendes, J., Mendez-Abreu, J., Meneghetti, M., Mercurio, A., Merlin, E., Metcalf, R. B., Meylan, G., Migliaccio, M., Mignoli, M., Miller, L., Miluzio, M., Milvang-Jensen, B., Mimoso, J. P., Miquel, R., Miyatake, H., Mobasher, B., Mohr, J. J., Monaco, P., Monguió, M., Montoro, A., Mora, A., Dizgah, A. Moradinezhad, Moresco, M., Moretti, C., Morgante, G., Morisset, N., Moriya, T. J., Morris, P. W., Mortlock, D. J., Moscardini, L., Mota, D. F., Mottet, S., Moustakas, L. A., Moutard, T., Müller, T., Munari, E., Murphree, G., Murray, C., Murray, N., Musi, P., Nadathur, S., Nagam, B. C., Nagao, T., Naidoo, K., Nakajima, R., Nally, C., Natoli, P., Navarro-Alsina, A., Girones, D. Navarro, Neissner, C., Nersesian, A., Nesseris, S., Nguyen-Kim, H. N., Nicastro, L., Nichol, R. C., Nielbock, M., Niemi, S. -M., Nieto, S., Nilsson, K., Noller, J., Norberg, P., Nouri-Zonoz, A., Ntelis, P., Nucita, A. A., Nugent, P., Nunes, N. J., Nutma, T., Ocampo, I., Odier, J., Oesch, P. A., Oguri, M., Oliveira, D. Magalhaes, Onoue, M., Oosterbroek, T., Oppizzi, F., Ordenovic, C., Osato, K., Pacaud, F., Pace, F., Padilla, C., Paech, K., Pagano, L., Page, M. J., Palazzi, E., Paltani, S., Pamuk, S., Pandolfi, S., Paoletti, D., Paolillo, M., Papaderos, P., Pardede, K., Parimbelli, G., Parmar, A., Partmann, C., Pasian, F., Passalacqua, F., Paterson, K., Patrizii, L., Pattison, C., Paulino-Afonso, A., Paviot, R., Peacock, J. A., Pearce, F. R., Pedersen, K., Peel, A., Peletier, R. F., Ibanez, M. Pellejero, Pello, R., Penny, M. T., Percival, W. J., Perez-Garrido, A., Perotto, L., Pettorino, V., Pezzotta, A., Pezzuto, S., Philippon, A., Pierre, M., Piersanti, O., Pietroni, M., Piga, L., Pilo, L., Pires, S., Pisani, A., Pizzella, A., Pizzuti, L., Plana, C., Polenta, G., Pollack, J. E., Poncet, M., Pöntinen, M., Pool, P., Popa, L. A., Popa, V., Popp, J., Porciani, C., Porth, L., Potter, D., Poulain, M., Pourtsidou, A., Pozzetti, L., Prandoni, I., Pratt, G. W., Prezelus, S., Prieto, E., Pugno, A., Quai, S., Quilley, L., Racca, G. D., Raccanelli, A., Rácz, G., Radinović, S., Radovich, M., Ragagnin, A., Ragnit, U., Raison, F., Ramos-Chernenko, N., Ranc, C., Rasera, Y., Raylet, N., Rebolo, R., Refregier, A., Reimberg, P., Reiprich, T. H., Renk, F., Renzi, A., Retre, J., Revaz, Y., Reylé, C., Reynolds, L., Rhodes, J., Ricci, F., Ricci, M., Riccio, G., Ricken, S. O., Rissanen, S., Risso, I., Rix, H. -W., Robin, A. C., Rocca-Volmerange, B., Rocci, P. -F., Rodenhuis, M., Rodighiero, G., Monroy, M. Rodriguez, Rollins, R. P., Romanello, M., Roman, J., Romelli, E., Romero-Gomez, M., Roncarelli, M., Rosati, P., Rosset, C., Rossetti, E., Roster, W., Rottgering, H. J. A., Rozas-Fernández, A., Ruane, K., Rubino-Martin, J. A., Rudolph, A., Ruppin, F., Rusholme, B., Sacquegna, S., Sáez-Casares, I., Saga, S., Saglia, R., Sahlén, M., Saifollahi, T., Sakr, Z., Salvalaggio, J., Salvaterra, R., Salvati, L., Salvato, M., Salvignol, J. -C., Sánchez, A. G., Sanchez, E., Sanders, D. B., Sapone, D., Saponara, M., Sarpa, E., Sarron, F., Sartori, S., Sartoris, B., Sassolas, B., Sauniere, L., Sauvage, M., Sawicki, M., Scaramella, R., Scarlata, C., Scharré, L., Schaye, J., Schewtschenko, J. A., Schindler, J. -T., Schinnerer, E., Schirmer, M., Schmidt, F., Schmidt, M., Schneider, A., Schneider, M., Schneider, P., Schöneberg, N., Schrabback, T., Schultheis, M., Schulz, S., Schuster, N., Schwartz, J., Sciotti, D., Scodeggio, M., Scognamiglio, D., Scott, D., Scottez, V., Secroun, A., Sefusatti, E., Seidel, G., Seiffert, M., Sellentin, E., Selwood, M., Semboloni, E., Sereno, M., Serjeant, S., Serrano, S., Setnikar, G., Shankar, F., Sharples, R. M., Short, A., Shulevski, A., Shuntov, M., Sias, M., Sikkema, G., Silvestri, A., Simon, P., Sirignano, C., Sirri, G., Skottfelt, J., Slezak, E., Sluse, D., Smith, G. P., Smith, L. C., Smith, R. E., Smit, S. J. A., Soldano, F., Solheim, B. G. B., Sorce, J. G., Sorrenti, F., Soubrie, E., Spinoglio, L., Mancini, A. Spurio, Stadel, J., Stagnaro, L., Stanco, L., Stanford, S. A., Starck, J. -L., Stassi, P., Steinwagner, J., Stern, D., Stone, C., Strada, P., Strafella, F., Stramaccioni, D., Surace, C., Sureau, F., Suyu, S. H., Swindells, I., Szafraniec, M., Szapudi, I., Taamoli, S., Talia, M., Tallada-Crespí, P., Tanidis, K., Tao, C., Tarrío, P., Tavagnacco, D., Taylor, A. N., Taylor, J. E., Taylor, P. L., Teixeira, E. M., Tenti, M., Idiago, P. Teodoro, Teplitz, H. I., Tereno, I., Tessore, N., Testa, V., Testera, G., Tewes, M., Teyssier, R., Theret, N., Thizy, C., Thomas, P. D., Toba, Y., Toft, S., Toledo-Moreo, R., Tolstoy, E., Tommasi, E., Torbaniuk, O., Torradeflot, F., Tortora, C., Tosi, S., Tosti, S., Trifoglio, M., Troja, A., Trombetti, T., Tronconi, A., Tsedrik, M., Tsyganov, A., Tucci, M., Tutusaus, I., Uhlemann, C., Ulivi, L., Urbano, M., Vacher, L., Vaillon, L., Valageas, P., Valdes, I., Valentijn, E. A., Valenziano, L., Valieri, C., Valiviita, J., Broeck, M. Van den, Vassallo, T., Vavrek, R., Vega-Ferrero, J., Venemans, B., Venhola, A., Ventura, S., Kleijn, G. Verdoes, Vergani, D., Verma, A., Vernizzi, F., Veropalumbo, A., Verza, G., Vescovi, C., Vibert, D., Viel, M., Vielzeuf, P., Viglione, C., Viitanen, A., Villaescusa-Navarro, F., Vinciguerra, S., Visticot, F., Voggel, K., von Wietersheim-Kramsta, M., Vriend, W. J., Wachter, S., Walmsley, M., Walth, G., Walton, D. M., Walton, N. A., Wander, M., Wang, L., Wang, Y., Weaver, J. R., Weller, J., Wetzstein, M., Whalen, D. J., Whittam, I. H., Widmer, A., Wiesmann, M., Wilde, J., Williams, O. R., Winther, H. -A., Wittje, A., Wong, J. H. W., Wright, A. H., Yankelevich, V., Yeung, H. W., Yoon, M., Youles, S., Yung, L. Y. A., Zacchei, A., Zalesky, L., Zamorani, G., Vitorelli, A. Zamorano, Marc, M. Zanoni, Zennaro, M., Zerbi, F. M., Zinchenko, I. A., Zoubian, J., Zucca, E., and Zumalacarregui, M.

Subjects
Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - Astrophysics of Galaxies, Astrophysics - Instrumentation and Methods for Astrophysics
Abstract

The current standard model of cosmology successfully describes a variety of measurements, but the nature of its main ingredients, dark matter and dark energy, remains unknown. Euclid is a medium-class mission in the Cosmic Vision 2015-2025 programme of the European Space Agency (ESA) that will provide high-resolution optical imaging, as well as near-infrared imaging and spectroscopy, over about 14,000 deg^2 of extragalactic sky. In addition to accurate weak lensing and clustering measurements that probe structure formation over half of the age of the Universe, its primary probes for cosmology, these exquisite data will enable a wide range of science. This paper provides a high-level overview of the mission, summarising the survey characteristics, the various data-processing steps, and data products. We also highlight the main science objectives and expected performance., Comment: Accepted for publication in the A&A special issue`Euclid on Sky'

Published
2024

3. Superphot+: Realtime Fitting and Classification of Supernova Light Curves

Author

de Soto, Kaylee M., Villar, Ashley, Berger, Edo, Gomez, Sebastian, Hosseinzadeh, Griffin, Branton, Doug, Campos, Sandro, DeLucchi, Melissa, Kubica, Jeremy, Lynn, Olivia, Malanchev, Konstantin, and Malz, Alex I.

Subjects
Astrophysics - High Energy Astrophysical Phenomena
Abstract

Photometric classifications of supernova (SN) light curves have become necessary to utilize the full potential of large samples of observations obtained from wide-field photometric surveys, such as the Zwicky Transient Facility (ZTF) and the Vera C. Rubin Observatory. Here, we present a photometric classifier for SN light curves that does not rely on redshift information and still maintains comparable accuracy to redshift-dependent classifiers. Our new package, Superphot+, uses a parametric model to extract meaningful features from multiband SN light curves. We train a gradient-boosted machine with fit parameters from 6,061 ZTF SNe that pass data quality cuts and are spectroscopically classified as one of five classes: SN Ia, SN II, SN Ib/c, SN IIn, and SLSN-I. Without redshift information, our classifier yields a class-averaged F1-score of 0.61 +/- 0.02 and a total accuracy of 0.83 +/- 0.01. Including redshift information improves these metrics to 0.71 +/- 0.02 and 0.88 +/- 0.01, respectively. We assign new class probabilities to 3,558 ZTF transients that show SN-like characteristics (based on the ALeRCE Broker light curve and stamp classifiers), but lack spectroscopic classifications. Finally, we compare our predicted SN labels with those generated by the ALeRCE light curve classifier, finding that the two classifiers agree on photometric labels for 82 +/- 2% of light curves with spectroscopic labels and 72% of light curves without spectroscopic labels. Superphot+ is currently classifying ZTF SNe in real time via the ANTARES Broker, and is designed for simple adaptation to six-band Rubin light curves in the future., Comment: 37 pages, 25 figures. Submitted to AAS Journals

Published
2024

4. Equivariant Hilbert and Ehrhart series under translative group actions

Author

D'Alì, Alessio and Delucchi, Emanuele

Subjects
Mathematics - Combinatorics, Mathematics - Commutative Algebra, Mathematics - Representation Theory, Primary: 05E18, Secondary: 52B20, 13F55, 05C15
Abstract

We study the equivariant Hilbert series of the complex Stanley-Reisner ring of a simplicial complex $\Sigma$ under the action of a finite group via simplicial automorphisms. We prove that, when $\Sigma$ is Cohen-Macaulay and the group action is translative, i.e., color-preserving for some proper coloring of $\Sigma$, the equivariant Hilbert series of $\Sigma$ admits a rational expression whose numerator is a positive integer combination of irreducible characters. We relate such a result to equivariant Ehrhart theory via an equivariant analogue of the Betke-McMullen theorem developed by Jochemko, Katth\"an and Reiner: namely, if a lattice polytope admits a lattice unimodular triangulation that is invariant under the action of a finite group, then the equivariant Ehrhart series of the polytope equals the equivariant Hilbert series of such a triangulation. As an application, we study the equivariant Ehrhart series of alcoved polytopes in the sense of Lam and Postnikov and derive explicit results in the case of order polytopes and of Lipschitz poset polytopes., Comment: v2. *Major* changes, including the title; new content added, at least one mistake fixed (condition (iii) in Lemma 2.4 from v1 was strictly weaker than the others; we thank Alan Stapledon). 33 pages, 3 figures. Comments are still very welcome!

Published
2023

5. Combinatorial generators for the cohomology of toric arrangements

Author

Callegaro, Filippo and Delucchi, Emanuele

Subjects
Mathematics - Algebraic Topology, Mathematics - Combinatorics
Abstract

We give a new combinatorial description of the cohomology ring structure of $H^*(M(\mathcal{A});\mathbb{Z})$ of the complement $M(\mathcal{A})$ of a real complexified toric arrangement $\mathcal{A}$ in $(\mathbb{C}^*)^d$. In particular, we correct an error in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., 2017., Comment: 35 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1910.13836

Published
2023

6. Dual structures on Coxeter and Artin groups of rank three

Author

Delucchi, Emanuele, Paolini, Giovanni, and Salvetti, Mario

Subjects
Mathematics - Group Theory, Mathematics - Algebraic Topology, Mathematics - Combinatorics, Mathematics - Geometric Topology
Abstract

We extend the theory of dual Coxeter and Artin groups to all rank-three Coxeter systems, beyond the previously studied spherical and affine cases. Using geometric, combinatorial, and topological techniques, we show that rank-three noncrossing partition posets are EL-shellable lattices and give rise to Garside groups isomorphic to the associated standard Artin groups. Within this framework, we prove the $K(\pi, 1)$ conjecture, the triviality of the center, and the solubility of the word problem for rank-three Artin groups. Some of our constructions apply to general Artin groups; we hope they will help develop complete solutions to the $K(\pi, 1)$ conjecture and other open problems in the area.

Published
2022

7. Supersolvable posets and fiber-type abelian arrangements

Author

Bibby, Christin and Delucchi, Emanuele

Subjects
Mathematics - Combinatorics, Mathematics - Algebraic Topology, 06A07, 55R80
Abstract

We present a combinatorial analysis of fiber bundles of generalized configuration spaces on connected abelian Lie groups. These bundles are akin to those of Fadell-Neuwirth for configuration spaces, and their existence is detected by a combinatorial property of an associated finite partially ordered set. This is consistent with Terao's fibration theorem connecting bundles of hyperplane arrangements to Stanley's lattice supersolvability. We obtain a combinatorially determined class of K($\pi$,1) toric and elliptic arrangements. Under a stronger combinatorial condition, we prove a factorization of the Poincar\'e polynomial when the Lie group is noncompact. In the case of toric arrangements, this provides an analogue of Falk-Randell's formula relating the Poincar\'e polynomial to the lower central series of the fundamental group., Comment: 33 pages, 11 figures

Published
2022

12. Finitary affine oriented matroids

Author

Delucchi, Emanuele and Knauer, Kolja

Subjects
Mathematics - Combinatorics, Mathematics - Algebraic Topology
Abstract

We initiate the axiomatic study of affine oriented matroids (AOMs) on arbitrary ground sets, obtaining fundamental notions such as minors, reorientations and a natural embedding into the frame work of Complexes of Oriented Matroids. The restriction to the finitary case (FAOMs) allows us to study tope graphs and covector posets, as well as to view FAOMs as oriented finitary semimatroids. We show shellability of FAOMs and single out the FAOMs that are affinely homeomorphic to $\mathbb{R}^n$. Finally, we study group actions on AOMs, whose quotients in the case of FAOMs are a stepping stone towards a general theory of affine and toric pseudoarrangements. Our results include applications of the multiplicity Tutte polynomial of group actions of semimatroids, generalizing enumerative properties of toric arrangements to a combinatorially defined class of arrangements of submanifolds. This answers partially a question by Ehrenborg and Readdy., Comment: 49 pages, 11 figures

Published
2020

14. The homotopy type of elliptic arrangements

Author

Delucchi, Emanuele and Pagaria, Roberto

Subjects
Mathematics - Algebraic Topology, Mathematics - Combinatorics, 55U05, 05E45, 20F36, 55R80
Abstract

We give combinatorial models for the homotopy type of complements of elliptic arrangements (i.e., certain sets of abelian subvarieties in a product of elliptic curves). We give a presentation of the fundamental group of such spaces and, as an application, we treat the case of ordered configuration spaces of elliptic curves. Our models are finite polyhedral CW complexes, and our combinatorial tools of choice are acyclic categories (small categories without loops). As a stepping stone, we give a characterization of which acyclic categories arise as face categories of polyhedral CW complexes., Comment: minor changes, to appear in Algebr. Geom. Topol

Published
2019
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15. Identifying molecular phenotypes in sepsis: an analysis of two prospective observational cohorts and secondary analysis of two randomised controlled trials

Author

Sinha, Pratik, Kerchberger, V Eric, Willmore, Andrew, Chambers, Julia, Zhuo, Hanjing, Abbott, Jason, Jones, Chayse, Wickersham, Nancy, Wu, Nelson, Neyton, Lucile, Langelier, Charles R, Mick, Eran, He, June, Jauregui, Alejandra, Churpek, Matthew M, Gomez, Antonio D, Hendrickson, Carolyn M, Kangelaris, Kirsten N, Sarma, Aartik, Leligdowicz, Aleksandra, Delucchi, Kevin L, Liu, Kathleen D, Russell, James A, Matthay, Michael A, Walley, Keith R, Ware, Lorraine B, and Calfee, Carolyn S

Published
2023
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16. Erratum to 'The integer cohomology algebra of toric arrangements'

Author

Callegaro, Filippo and Delucchi, Emanuele

Subjects
Mathematics - Algebraic Topology, Mathematics - Combinatorics
Abstract

We point out two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In that theorem's proof, Diagram (8) does not commute in general but only under some restrictive hypotheses on the arrangement $\mathcal{A}$. This invalidates the description for the ring structure of $H^*(M(\mathcal{A});\mathbb{Z})$ given in Theorems A and B. We refer to alternative descriptions of the cohomology ring $H^*(M(\mathcal{A});\mathbb{Z})$. The second error concerns Theorem 7.2.1. The claim does hold, but the proof is incorrect. We refer to a counterexample for the argument given in the proof and we provide references for a correct proof., Comment: 3 pages, shortened version

Published
2019

17. Many faces of symmetric edge polytopes

Author

D'Alì, Alessio, Delucchi, Emanuele, and Michałek, Mateusz

Subjects
Mathematics - Combinatorics, Mathematics - Commutative Algebra, 52B20 (Primary) 52B12, 13P10, 13P25, 05A15 (Secondary)
Abstract

Symmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In the present paper we highlight their connections to the Kuramoto synchronization model in physics -- where they are called adjacency polytopes -- and to Kantorovich--Rubinstein polytopes from finite metric space theory. Each of these connections motivates the study of symmetric edge polytopes of particular classes of graphs. We focus on such classes and apply algebraic-combinatorial methods to investigate invariants of the associated symmetric edge polytopes., Comment: 35 pages, 8 figures. Comments are very welcome!

Published
2019
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18. Subphenotypes of frailty in lung transplant candidates

Author

Singer, Jonathan P., Calfee, Carolyn S., Delucchi, Kevin, Diamond, Joshua M., Anderson, Michaela A., Benvenuto, Luke A., Gao, Ying, Wang, Ping, Arcasoy, Selim M., Lederer, David J., Hays, Steven R., Kukreja, Jasleen, Venado, Aida, Kolaitis, Nicholas A., Leard, Lorianna E., Shah, Rupal J., Kleinhenz, Mary Ellen, Golden, Jeffrey, Betancourt, Legna, Oyster, Michelle, Brown, Melanie, Zaleski, Derek, Medikonda, Nikhila, Kalman, Laurel, Balar, Priya, Patel, Shreena, Calabrese, Daniel R., Greenland, John R., and Christie, Jason D.

Published
2023
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22. Entrepreneurship in Uruguay

Author

Delucchi, María Ximena Fernández, Lopassio, Nicolás Gambetta, Dana, Léo-Paul, editor, Keen, Christian, editor, and Ramadani, Veland, editor

Published
2022
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23. Impossibility results on stability of phylogenetic consensus methods

Author

Delucchi, Emanuele, Hoessly, Linard, and Paolini, Giovanni

Subjects
Quantitative Biology - Populations and Evolution
Abstract

We answer two questions raised by Bryant, Francis and Steel in their work on consensus methods in phylogenetics. Consensus methods apply to every practical instance where it is desired to aggregate a set of given phylogenetic trees (say, gene evolution trees) into a resulting, "consensus" tree (say, a species tree). Various stability criteria have been explored in this context, seeking to model desirable consistency properties of consensus methods as the experimental data are updated (e.g., more taxa, or more trees, are mapped). However, such stability conditions can be incompatible with some basic regularity properties that are widely accepted to be essential in any meaningful consensus method. Here, we prove that such an incompatibility does arise in the case of extension stability on binary trees and in the case of associative stability. Our methods combine general theoretical considerations with the use of computer programs tailored to the given stability requirements.

Published
2018
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24. Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements

Author

Callegaro, Filippo, D'Adderio, Michele, Delucchi, Emanuele, Migliorini, Luca, and Pagaria, Roberto

Subjects
Mathematics - Algebraic Topology, Mathematics - Combinatorics
Abstract

We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias "toric arrangement"). Our description parallels the one given by Orlik and Solomon for arrangements of hyperplanes, and builds on De Concini and Procesi's work on the rational cohomology of unimodular toric arrangements. As a byproduct we extend Dupont's rational formality result to formality over $\mathbb Z$. The data needed in order to state the presentation is fully encoded in the poset of connected components of intersections of the arrangement., Comment: 33 pages. In the statement of the main theorem the previous version only mentioned relations associated with the circuits in the matroid while we realized that subsets whose cardinality exceeds the rank by one may give new relations. Consequently some changes have been made in chapter 6

Published
2018
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25. Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements

Author

D'Alì, Alessio and Delucchi, Emanuele

Subjects
Mathematics - Combinatorics, Mathematics - Commutative Algebra, 13F55 (primary), 05E18, 13A50, 52C35, 55U10, 06A11 (secondary)
Abstract

We extend the notion of face rings of simplicial complexes and simplicial posets to the case of finite-length (possibly infinite) simplicial posets with a group action. The action on the complex induces an action on the face ring, and we prove that the ring of invariants is isomorphic to the face ring of the quotient simplicial poset under a mild condition on the group action. We also identify a class of actions on simplicial complexes that preserve the homotopical Cohen-Macaulay property under quotients. When the acted-upon poset is the independence complex of a semimatroid, the $h$-polynomial of the ring of invariants can be read off the Tutte polynomial of the associated group action. Moreover, in this case an additional condition on the action ensures that the quotient poset is Cohen-Macaulay in characteristic 0 and every characteristic that does not divide an explicitly computable number. This implies the same property for the associated Stanley-Reisner rings. In particular, this holds for independence posets and rings associated to toric, elliptic and, more generally, $(p,q)$-arrangements. As a byproduct, we prove that posets of connected components (also known as posets of {layers}) of such arrangements are Cohen-Macaulay with the same condition on the characteristic., Comment: v3, 42 pages, 4 figures. Major revision: exposition improved; fixing a gap in Lemma 5.1 of the previous version led us to correct the treatment and the results in Sections 7-9

Published
2018
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31. Validation and utility of ARDS subphenotypes identified by machine-learning models using clinical data: an observational, multicohort, retrospective analysis

Author

Rios, Fernando, Van Haren, Frank, Sottiaux, T, Lora, Fredy S, Azevedo, Luciano C, Depuydt, P, Fan, Eddy, Bugedo, Guillermo, Qiu, Haibo, Gonzalez, Marcos, Silesky, Juan, Cerny, Vladimir, Nielsen, Jonas, Jibaja, Manuel, Pham, Tài, Wrigge, Hermann, Matamis, Dimitrios, Ranero, Jorge Luis, Hashemian, S. M, Amin, Pravin, Clarkson, Kevin, Bellani, Giacomo, Kurahashi, Kiyoyasu, Villagomez, Asisclo, Zeggwagh, Amine Ali, Heunks, Leo M, Laake, Jon Henrik, Palo, Jose Emmanuel, do Vale Fernandes, Antero, Sandesc, Dorel, Arabi, Yaasen, Bumbasierevic, Vesna, Nin, Nicolas, Lorente, Jose A, Larsson, Anders, Piquilloud, Lise, Abroug, Fekri, McAuley, Daniel F, McNamee, Lia, Hurtado, Javier, Bajwa, Ed, Démpaire, Gabriel, Francois, Guy M, Sula, Hektor, Nunci, Lordian, Cani, Alma, Zazu, Alan, Dellera, Christian, Insaurralde, Carolina S, Alejandro, Risso V, Daldin, Julio, Vinzio, Mauricio, Fernandez, Ruben O, Cardonnet, Luis P, Bettini, Lisandro R, Bisso, Mariano Carboni, Osman, Emilio M, Setten, Mariano G, Lovazzano, Pablo, Alvarez, Javier, Villar, Veronica, Milstein, Cesar, Pozo, Norberto C, Grubissich, Nicolas, Plotnikow, Gustavo A, Vasquez, Daniela N, Ilutovich, Santiago, Tiribelli, Norberto, Chena, Ariel, Pellegrini, Carlos A, Saenz, María G, Estenssoro, Elisa, Brizuela, Matias, Gianinetto, Hernan, Gomez, Pablo E, Cerrato, Valeria I, Bezzi, Marco G, Borello, Silvina A, Loiacono, Flavia A, Fernandez, Adriana M, Knowles, Serena, Reynolds, Claire, Inskip, Deborah M, Miller, Jennene J, Kong, Jing, Whitehead, Christina, Bihari, Shailesh, Seven, Aylin, Krstevski, Amanda, Rodgers, Helen J, Millar, Rebecca T, Mckenna, Toni E, Bailey, Irene M, Hanlon, Gabrielle C, Aneman, Anders, Lynch, Joan M, Azad, Raman, Neal, John, Woods, Paul W, Roberts, Brigit L, Kol, Mark R, Wong, Helen S, Riss, Katharina C, Staudinger, Thomas, Wittebole, Xavier, Berghe, Caroline, Bulpa, Pierre A, Dive, Alain M, Verstraete, Rik, Lebbinck, Herve, Depuydt, Pieter, Vermassen, Joris, Meersseman, Philippe, Ceunen, Helga, Rosa, Jonas I, Beraldo, Daniel O, Piras, Claudio, Ampinelli, Adenilton M R, Nassar Jr, Antonio P, Mataloun, Sergio, Moock, Marcelo, Thompson, Marlus M, Gonçalves, Claudio H, Antônio, Ana Carolina P, Ascoli, Aline, Biondi, Rodrigo S, Fontenele, Danielle C, Nobrega, Danielle, Sales, Vanessa M, Shindhe, Suresh, Ismail, Dk Maizatul Aiman B Pg Hj, Laffey, John, Beloncle, Francois, Davies, Kyle G, Cirone, Rob, Manoharan, Venika, Ismail, Mehvish, Goligher, Ewan C, Jassal, Mandeep, Nishikawa, Erin, Javeed, Areej, Curley, Gerard, Rittayamai, Nuttapol, Parotto, Matteo, Ferguson, Niall D, Mehta, Sangeeta, Knoll, Jenny, Pronovost, Antoine, Canestrini, Sergio, Bruhn, Alejandro R, Garcia, Patricio H, Aliaga, Felipe A, Farías, Pamela A, Yumha, Jacob S, Ortiz, Claudia A, Salas, Javier E, Saez, Alejandro A, Vega, Luis D, Labarca, Eduardo F, Martinez, Felipe T, Carreño, Nicolás G, Lora, Pilar, Liu, Haitao, Liu, Ling, Tang, Rui, Luo, Xiaoming, An, Youzhong, Zhao, Huiying, Gao, Yan, Zhai, Zhe, Ye, Zheng L, Wang, Wei, Li, Wenwen, Li, Qingdong, Zheng, Ruiqiang, Yu, Wenkui, Shen, Juanhong, Li, Xinyu, Yu, Tao, Lu, Weihua, Wu, Ya Q, Huang, Xiao B, He, Zhenyang, Lu, Yuanhua, Han, Hui, Zhang, Fan, Sun, Renhua, Wang, Hua X, Qin, Shu H, Zhu, Bao H, Zhao, Jun, Liu, Jian, Li, Bin, Liu, Jing L, Zhou, Fa C, Li, Qiong J, Zhang, Xing Y, Li-Xin, Zhou, Xin-Hua, Qiang, Jiang, Liangyan, Gao, Yuan N, Zhao, Xian Y, Li, Yuan Y, Li, Xiao L, Wang, Chunting, Yao, Qingchun, Yu, Rongguo, Chen, Kai, Shao, Huanzhang, Qin, Bingyu, Huang, Qing Q, Zhu, Wei H, Hang, Ai Y, Hua, Ma X, Li, Yimin, Xu, Yonghao, Di, Yu D, Ling, Long L, Qin, Tie H, Wang, Shou H, Qin, Junping, Han, Yi, Zhou, Suming, Vargas, Monica P, Silesky Jimenez, Juan I, González Rojas, Manuel A, Solis-Quesada, Jaime E, Ramirez-Alfaro, Christian M, Máca, Jan, Sklienka, Peter, Gjedsted, Jakob, Christiansen, Aage, Villamagua, Boris G, Llano, Miguel, Burtin, Philippe, Buzancais, Gautier, Beuret, Pascal, Pelletier, Nicolas, Mortaza, Satar, Mercat, Alain, Chelly, Jonathan, Jochmans, Sébastien, Terzi, Nicolas, Daubin, Cédric, Carteaux, Guillaume, de Prost, Nicolas, Chiche, Jean-Daniel, Daviaud, Fabrice, Pham, Tai, Fartoukh, Muriel, Barberet, Guillaume, Biehler, Jerome, Dellamonica, Jean, Doyen, Denis, Arnal, Jean-Michel, Briquet, Anais, Hraiech, Sami, Papazian, Laurent, Follin, Arnaud, Roux, Damien, Messika, Jonathan, Kalaitzis, Evangelos, Dangers, Laurence, Combes, Alain, Au, Siu-Ming, Béduneau, Gaetan, Carpentier, Dorothée, Zogheib, Elie H, Dupont, Herve, Ricome, Sylvie, Santoli, Francesco L, Besset, Sebastien L, Michel, Philippe, Gelée, Bruno, Danin, Pierre-Eric, Goubaux, Bernard, Crova, Philippe J, Phan, Nga T, Berkelmans, Frantz, Badie, Julio C, Tapponnier, Romain, Gally, Josette, Khebbeb, Samy, Herbrecht, Jean-Etienne, Schneider, Francis, Declercq, Pierre-Louis M, Rigaud, Jean-Philippe, Duranteau, Jacques, Harrois, Anatole, Chabanne, Russell, Marin, Julien, Bigot, Charlene, Thibault, Sandrine, Ghazi, Mohammed, Boukhazna, Messabi, Ould Zein, Salem, Richecoeur, Jack R, Combaux, Daniele M, Grelon, Fabien, Le Moal, Charlene, Sauvadet, Elise P, Robine, Adrien, Lemiale, Virginie, Reuter, Danielle, Dres, Martin, Demoule, Alexandre, Goldgran-Toledano, Dany, Baboi, Loredana, Guérin, Claude, Lohner, Ralph, Kraßler, Jens, Schäfer, Susanne, Zacharowski, Kai D, Meybohm, Patrick, Reske, Andreas W, Simon, Philipp, Hopf, Hans-Bernd F, Schuetz, Michael, Baltus, Thomas, Papanikolaou, Metaxia N, Papavasilopoulou, Theonymfi G, Zacharas, Giannis A, Ourailogloy, Vasilis, Mouloudi, Eleni K, Massa, Eleni V, Nagy, Eva O, Stamou, Electra E, Kiourtzieva, Ellada V, Oikonomou, Marina A, Avila, Luis E, Cortez, Cesar A, Citalán, Johanna E, Jog, Sameer A, Sable, Safal D, Shah, Bhagyesh, Gurjar, Mohan, Baronia, Arvind K, Memon, Mohammedfaruk, Muthuchellappan, Radhakrishnan, Ramesh, Venkatapura J, Shenoy, Anitha, Unnikrishnan, Ramesh, Dixit, Subhal B, Rhayakar, Rachana V, Ramakrishnan, Nagarajan, Bhardwaj, Vallish K, Mahto, Heera L, Sagar, Sudha V, Palaniswamy, Vijayanand, Ganesan, Deeban, Mohammadreza Hashemian, Seyed, Jamaati, Hamidreza, Heidari, Farshad, Meaney, Edel A, Nichol, Alistair, Knapman, Karl M, O'Croinin, Donall, Dunne, Eimhin S, Breen, Dorothy M, Clarkson, Kevin P, Jaafar, Rola F, Dwyer, Rory, Amir, Fahd, Ajetunmobi, Olaitan O, O'Muircheartaigh, Aogan C, Black, Colin S, Treanor, Nuala, Collins, Daniel V, Altaf, Wahid, Zani, Gianluca, Fusari, Maurizio, Spadaro, Savino, Volta, Carlo A, Graziani, Romano, Brunettini, Barbara, Palmese, Salvatore, Formenti, Paolo, Umbrello, Michele, Lombardo, Andrea, Pecci, Elisabetta, Botteri, Marco, Savioli, Monica, Protti, Alessandro, Mattei, Alessia, Schiavoni, Lorenzo, Tinnirello, Andrea, Todeschini, Manuel, Giarratano, Antonino, Cortegiani, Andrea, Sher, Sara, Rossi, Anna, Antonelli, Massimo M, Montini, Luca M, Casalena, Paolo, Scafetti, Sergio, Panarello, Giovanna, Occhipinti, Giovanna, Patroniti, Nicolò, Pozzi, Matteo, Biscione, Roberto R, Poli, Michela M, Raimondi, Ferdinando, Albiero, Daniela, Crapelli, Giulia, Beck, Eduardo, Pota, Vincenzo, Schiavone, Vincenzo, Molin, Alexandre, Tarantino, Fabio, Monti, Giacomo, Frati, Elena, Mirabella, Lucia, Cinnella, Gilda, Fossali, Tommaso, Colombo, Riccardo, Terragni, Pierpaolo, Pattarino, Ilaria, Mojoli, Francesco, Braschi, Antonio, Borotto, Erika E, Cracchiolo, Andrea N, Palma, Daniela M, Raponi, Francesco, Foti, Giuseppe, Vascotto, Ettore R, Coppadoro, Andrea, Brazzi, Luca, Floris, Leda, Iotti, Giorgio A, Venti, Aaron, Yamaguchi, Osamu, Takagi, Shunsuke, Maeyama, Hiroki N, Watanabe, Eizo, Yamaji, Yoshihiro, Shimizu, Kazuyoshi, Shiozaki, Kyoko, Futami, Satoru, Ryosuke, Sekine, Saito, Koji, Kameyama, Yoshinobu, Ueno, Keiko, Izawa, Masayo, Okuda, Nao, Suzuki, Hiroyuki, Harasawa, Tomofumi, Nasu, Michitaka, Takada, Tadaaki, Ito, Fumihito, Nunomiya, Shin, Koyama, Kansuke, Abe, Toshikazu, Andoh, Kohkichi, Kusumoto, Kohei, Hirata, Akira, Takaba, Akihiro, Kimura, Hiroyasu, Matsumoto, Shuhei, Higashijima, Ushio, Honda, Hiroyuki, Aoki, Nobumasa, Imai, Hiroshi, Ogino, Yasuaki, Mizuguchi, Ichiko, Ichikado, Kazuya, Nitta, Kenichi, Mochizuki, Katsunori, Hashida, Tomoaki, Tanaka, Hiroyuki, Nakamura, Tomoyuki, Niimi, Daisuke, Ueda, Takeshi, Kashiwa, Yozo, Uchiyama, Akinori, Sabelnikovs, Olegs, Oss, Peteris, Haddad, Youssef, Liew, Kong Y, Ñamendys-Silva, Silvio A, Jarquin-Badiola, Yves D, Sanchez-Hurtado, Luis A, Gomez-Flores, Saira S, Marin, Maria C, Villagomez, Asisclo J, Lemus, Jordana S, Fierro, Jonathan M, Cervantes, Mavy Ramirez, Mejia, Francisco Javier Flores, Gonzalez, Daniel R, Dector, Dulce M, Estrella, Claudia R, Sanchez-Medina, Jorge R, Ramirez-Gutierrez, Alvaro, George, Fernando G, Aguirre, Janet S, Buensuseso, Juan A, Poblano, Manuel, Dendane, Tarek, Balkhi, Hicham, Elkhayari, Mina, Samkaoui, Nacer, Ezzouine, Hanane, Benslama, Abdellatif, Amor, Mourad, Maazouzi, Wajdi, Cimic, Nedim, Beck, Oliver, Bruns, Monique M, Schouten, Jeroen A, Rinia, Myra, Raaijmakers, Monique, Van Wezel, Hellen M, Heines, Serge J, Buise, Marc P, Simonis, Fabienne D, Schultz, Marcus J, Goodson, Jennifer C, rowne, Troy S B, Navarra, Leanlove, Hunt, Anna, Hutchison, Robyn A, Bailey, Mathew B, Newby, Lynette, Mcarthur, Colin, Kalkoff, Michael, Mcleod, Alex, Casement, Jonathan, Hacking, Danielle J, Andersen, Finn H, Dolva, Merete S, Laake, Jon H, Barratt-Due, Andreas, Noremark, Kim Andre L, Søreide, Eldar, Sjøbø, Brit Å, Guttormsen, Anne B, Yoshido, Hector H Leon, Aguilar, Ronald Zumaran, Oscanoa, Fredy A Montes, Alisasis, Alain U, Robles, Joanne B, Pasanting-Lim, Rossini Abbie B, Tan, Beatriz C, Andruszkiewicz, Pawel, Jakubowska, Karina, Cox, Cristina M, Alvarez, António M, Oliveira, Bruno S, Montanha, Gustavo M, Barros, Nelson C, Pereira, Carlos S, Messias, António M, Monteiro, Jorge M, Araujo, Ana M, Catorze, Nuno T, Marum, Susan M, Bouw, Maria J, Gomes, Rui M, Brito, Vania A, Castro, Silvia, Estilita, Joana M, Barros, Filipa M, Serra, Isabel M, Martinho, Aurelia M, Tomescu, Dana R, Marcu, Alexandra, Bedreag, Ovidiu H, Papurica, Marius, Corneci, Dan E, Negoita, Silvius Ioan, Grigoriev, Evgeny, Gritsan, Alexey I, Gazenkampf, Andrey A, Almekhlafi, Ghaleb, Albarrak, Mohamad M, Mustafa, Ghanem M, Maghrabi, Khalid A, Salahuddin, Nawal, Aisa, Tharwat M, Al Jabbary, Ahmed S, Tabhan, Edgardo, Arabi, Yaseen M, Trinidad, Olivia A, Al Dorzi, Hasan M, Tabhan, Edgardo E, Bolon, Stefan, Smith, Oliver, Mancebo, Jordi, Aguirre-Bermeo, Hernan, Lopez-Delgado, Juan C, Esteve, Francisco, Rialp, Gemma, Forteza, Catalina, De Haro, Candelaria, Artigas, Antonio, Albaiceta, Guillermo M, De Cima-Iglesias, Sara, Seoane-Quiroga, Leticia, Ceniceros-Barros, Alexandra, Ruiz-Aguilar, Antonio L, Claraco-Vega, Luis M, Soler, Juan Alfonso, Lorente, Maria del Carmen, Hermosa, Cecilia, Gordo, Federico, Prieto-González, Miryam, López-Messa, Juan B, Perez, Manuel P, Pere, Cesar P, Allue, Raquel Montoiro, Roche-Campo, Ferran, Ibañez-Santacruz, Marcos, Temprano, Susana, Pintado, Maria C, De Pablo, Raul, Gómez, Pilar Ricart Aroa, Ruiz, Silvia Rodriguez, Moles, Silvia Iglesias, Jurado, Mª Teresa, Arizmendi, Alfons, Piacentini, Enrique A, Franco, Nieves, Honrubia, Teresa, Perez Cheng, Meisy, Perez Losada, Elena, Blanco, Javier, Yuste, Luis J, Carbayo-Gorriz, Cecilia, Cazorla-Barranquero, Francisca G, Alonso, Javier G, Alda, Rosa S, Algaba, Ángela, Navarro, Gonzalo, Cereijo, Enrique, Diaz-Rodriguez, Esther, Marcos, Diego Pastor, Montero, Laura Alvarez, Para, Luis Herrera, Sanchez, Roberto Jimenez, Blasco Navalpotro, Miguel Angel, Abad, Ricardo Diaz, Montiel González, Raquel, Toribio, Dácil Parrilla, Castro, Alejandro G, Artiga, Maria Jose D, Penuelas, Oscar, Roser, Tomas P, Olga, Moreno F, Curto, Elena Gallego, Sánchez, Rocío Manzano, Imma, Vallverdu P, Elisabet, Garcia M, Claverias, Laura, Magret, Monica, Pellicer, Ana M, Rodriguez, Lucia L, Sánchez-Ballesteros, Jesús, González-Salamanca, Ángela, Jimenez, Antonio G, Huerta, Francisco P, Diaz, Juan Carlos J Sotillo, Lopez, Esther Bermejo, Moya, David D Llinares, Alfonso, Alec A Tallet, Eugenio Luis, Palazon Sanchez, Cesar, Palazon Sanchez, Rafael, Sánchez I, Virgilio, Corcoles G, Recio, Noelia N, Adamsson, Richard O, Rylander, Christian C, Holzgraefe, Bernhard, Broman, Lars M, Wessbergh, Joanna, Persson, Linnea, Schiöler, Fredrik, Kedelv, Hans, Tibblin, Anna Oscarsson, Appelberg, Henrik, Hedlund, Lars, Helleberg, Johan, Eriksson, Karin E, Glietsch, Rita, Larsson, Niklas, Nygren, Ingela, Nunes, Silvia L, Morin, Anna-Karin, Kander, Thomas, Adolfsson, Anne, Zender, Hervé O., Leemann-Refondini, Corinne, Elatrous, Souheil, Bouchoucha, Slaheddine, Chouchene, Imed, Ouanes, Islem, Ben Souissi, Asma, Kamoun, Salma, Demirkiran, Oktay, Aker, Mustafa, Erbabacan, Emre, Ceylan, Ilkay, Girgin, Nermin Kelebek, Ozcelik, Menekse, Ünal, Necmettin, Meco, Basak Ceyda, Akyol, Onat O, Derman, Suleyman S, Kennedy, Barry, Parhar, Ken, Srinivasa, Latha, McAuley, Danny, Steinberg, Jack, Hopkins, Phil, Mellis, Clare, Stansil, Frank, Kakar, Vivek, Hadfield, Dan, Brown, Christine, Vercueil, Andre, Bhowmick, Kaushik, Humphreys, Sally K, Ferguson, Andrew, Mckee, Raymond, Raj, Ashok S, Fawkes, Danielle A, Watt, Philip, Twohey, Linda, Thomas, Rajeev R Jha Matthew, Morton, Alex, Kadaba, Varsha, Smith, Mark J, Hormis, Anil P, Kannan, Santhana G, Namih, Miriam, Reschreiter, Henrik, Camsooksai, Julie, Kumar, Alek, Rugonfalvi, Szabolcs, Nutt, Christopher, Oneill, Orla, Seasman, Colette, Dempsey, Ged, Scott, Christopher J, Ellis, Helen E, Mckechnie, Stuart, Hutton, Paula J, Di Tomasso, Nora N, Vitale, Michela N, Griffin, Ruth O, Dean, Michael N, Cranshaw, Julius H, Willett, Emma L, Ioannou, Nicholas, Gillis, Sarah, Csabi, Peter, Macfadyen, Rosaleen, Dawson, Heidi, Preez, Pieter D, Williams, Alexandra J, Boyd, Owen, De Gordoa, Laura Ortiz-Ruiz, Bramall, Jon, Symmonds, Sophie, Chau, Simon K, Wenham, Tim, Szakmany, Tamas, Toth-Tarsoly, Piroska, Mccalman, Katie H, Alexander, Peter, Stephenson, Lorraine, Collyer, Thomas, Chapman, Rhiannon, Cooper, Raphael, Allan, Russell M, Sim, Malcolm, Wrathall, David W, Irvine, Donald A, Zantua, Kim S, Adams, John C, Burtenshaw, Andrew J, Sellors, Gareth P, Welters, Ingeborg D, Williams, Karen E, Hessell, Robert J, Oldroyd, Matthew G, Battle, Ceri E, Pillai, Suresh, Kajtor, Istvan, Sivashanmugave, Mageswaran, Okane, Sinead C, Donnelly, Adrian, Frigyik, Aniko D, Careless, Jon P, May, Martin M, Stewart, Richard, Trinder, T John, Hagan, Samantha J, Wise, Matt P, Cole, Jade M, MacFie, Caroline C, Dowling, Anna T, Nuñez, Edgardo, Pittini, Gustavo, Rodriguez, Ruben, Imperio, María C, Santos, Cristina, França, Ana G., Ebeid, Alejandro, Deicas, Alberto, Serra, Carolina, Uppalapati, Aditya, Kamel, Ghassan, Banner-Goodspeed, Valerie M, Beitler, Jeremy R, Mukkera, Satyanarayana Reddy, Kulkarni, Shreedhar, Lee, Jarone, Mesar, Tomaz, Shinn Iii, John O, Gomaa, Dina, Tainter, Christopher, Cowley, R Adams, Yeatts, Dale J, Warren, Jessica, Lanspa, Michael J, Miller, Russel R, Grissom, Colin K, Brown, Samuel M, Bauer, Philippe R, Gosselin, Ryan J, Kitch, Barrett T, Cohen, Jason E, Beegle, Scott H, Gueret, Renaud M, Tulaimat, Aiman, Choudry, Shazia, Stigler, William, Batra, Hitesh, Huff, Nidhi G, Lamb, Keith D, Oetting, Trevor W, Mohr, Nicholas M, Judy, Claine, Saito, Shigeki, Kheir, Fayez M, Schlichting, Adam B, Delsing, Angela, Elmasri, Mary, Crouch, Daniel R, Ismail, Dina, Blakeman, Thomas C, Dreyer, Kyle R, Baron, Rebecca M, Grijalba, Carolina Quintana, Hou, Peter C, Seethala, Raghu, Aisiku, Imo, Henderson, Galen, Frendl, Gyorgy, Hou, Sen-Kuang, Owens, Robert L, Schomer, Ashley, Bumbasirevic, Vesna, Jovanovic, Bojan, Surbatovic, Maja, Veljovic, Milic, Maddali, Manoj V, Churpek, Matthew, Rezoagli, Emanuele, Zhuo, Hanjing, Zhao, Wendi, He, June, Delucchi, Kevin L, Wang, Chunxue, Wickersham, Nancy, McNeil, J Brennan, Jauregui, Alejandra, Ke, Serena, Vessel, Kathryn, Gomez, Antonio, Hendrickson, Carolyn M, Kangelaris, Kirsten N, Sarma, Aartik, Leligdowicz, Aleksandra, Liu, Kathleen D, Matthay, Michael A, Ware, Lorraine B, Laffey, John G, Calfee, Carolyn S, and Sinha, Pratik

Published
2022
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32. Identification of phenotypes in paediatric patients with acute respiratory distress syndrome: a latent class analysis

Author

Matthay, Michael A, Bateman, Scot T, Berg, Marc D, Borasino, Santiago, Bysani, Gokul K, Cowl, Allison S, Bowens, Cindy D, Faustino, Vincent S, Fineman, Lori D, Godshall, Aaron J, Hirshberg, Eliotte L, Kirby, Aileen L, McLaughlin, Gwenn E, Medar, Shivanand S, Oren, Phineas P, Schneider, James B, Schwarz, Adam J, Shanley, Thomas P, Source, Lauren R, Truemper, Edward J, Vender Heyden, Michele A, Wittmayer, Kimberly, Zuppa, Athena F, Wypij, David, Dahmer, Mary K, Yang, Guangyu, Zhang, Min, Quasney, Michael W, Sapru, Anil, Weeks, Heidi M, Sinha, Pratik, Curley, Martha A Q, Delucchi, Kevin L, Calfee, Carolyn S, and Flori, Heidi

Published
2022
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34. Shellability of posets of labeled partitions and arrangements defined by root systems

Author

Delucchi, Emanuele, Girard, Noriane, and Paolini, Giovanni

Subjects
Mathematics - Combinatorics
Abstract

We prove that the posets of connected components of intersections of toric and elliptic arrangements defined by root systems are EL-shellable and we compute their homotopy type. Our method rests on Bibby's description of such posets by means of "labeled partitions": after giving an EL-labeling and counting homology chains for general posets of labeled partitions, we obtain the stated results by considering the appropriate subposets.

Published
2017

35. Fundamental polytopes of metric trees via parallel connections of matroids

Author

Delucchi, Emanuele and Hoessly, Linard

Subjects
Mathematics - Combinatorics, 05-XX (Primary), 92Bxx (Secondary), 54E35
Abstract

We tackle the problem of a combinatorial classification of finite metric spaces via their fundamental polytopes, as suggested by Vershik in 2010. In this paper we consider a hyperplane arrangement associated to every split pseudometric and, for tree-like metrics, we study the combinatorics of its underlying matroid. We give explicit formulas for the face numbers of fundamental polytopes and Lipschitz polytopes of all tree-like metrics, and we characterize the metric trees for which the fundamental polytope is simplicial., Comment: 20 pages, 2 Figures, 1 Table. Exposition improved, references and new results (last section) added

Published
2016
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41. Colorings and flows on CW complexes, Tutte quasi-polynomials and arithmetic matroids

Author

Delucchi, Emanuele and Moci, Luca

Subjects
Mathematics - Combinatorics, Mathematics - Algebraic Topology
Abstract

In this note we provide a higher-dimensional analogue of Tutte's celebrated theorem on colorings and flows of graphs, by showing that the theory of arithmetic Tutte polynomials and quasi-polynomials encompasses invariants defined for CW complexes by Beck-Breuer-Godkin-Martin and Duval-Klivans-Martin. Furthermore, we answer a question by Bajo-Burdick-Chmutov, concerning the modified Tutte-Krushkal-Renhardy polynomials defined by these authors: to this end, we prove that the product of two arithmetic multiplicity functions on a matroid is again an arithmetic multiplicity function., Comment: 9 pages; proof of Theorem 1 corrected

Published
2016

46. Group actions on semimatroids

Author

Delucchi, Emanuele and Riedel, Sonja

Subjects
Mathematics - Combinatorics
Abstract

We initiate the study of group actions on (possibly infinite) semimatroids and geometric semilattices. To every such action is naturally associated an orbit-counting function, a two-variable "Tutte" polynomial and a poset which, in the realizable case, coincides with the poset of connected components of intersections of the associated toric arrangement. In this structural framework we recover and strongly generalize many enumerative results about arithmetic matroids, arithmetic Tutte polynomials and toric arrangements by finding new combinatorial interpretations beyond the realizable case. In particular, we thus find a class of natural examples of nonrealizable arithmetic matroids. Moreover, under additional conditions these actions give rise to a matroid over the ring of integers. As a stepping stone toward our results we also prove an extension of the cryptomorphism between semimatroids and geometric semilattices to the infinite case., Comment: 55 pages, 13 figures, exposition overhauled, results in Section 9 improved

Published
2015

47. Realization spaces of matroids over hyperfields

Author

Delucchi, Emanuele, Hoessly, Linard, and Saini, Elia

Subjects
Mathematics - Combinatorics, 05B35, 52C40
Abstract

We study realization spaces of matroids over hyperfields (in the sense of Baker and Bowler). More precisely, given a matroid M and a hyperfield H we determine the space of all H-matroids over M. This can be seen as the matroid stratum of the hyperfield Grassmannians in the sense of Anderson and Davis. We give different descriptions of these realization spaces (e.g., in terms of Tutte groups or projective classes), allowing for explicit computations. When the hyperfield at hand is topological, the realization spaces have a natural topology. In this case, our models carry the correct homeomorphism type. As applications of our methods we obtain a theorem on the existence of phased matroids that are not realizable over the complex field and are not chirotopal, as well as a result on the diffeomorphism type of complex hyperplane arrangements whose underlying matroid is uniform., Comment: 44 pages. Several typos and errors corrected, in particular in the statement of Theorem 4.4. Proof of Theorem 4.1 corrected and several proofs simplified

Published
2015

48. The integer cohomology algebra of toric arrangements

Author

Callegaro, Filippo and Delucchi, Emanuele

Subjects
Mathematics - Algebraic Topology, Mathematics - Combinatorics
Abstract

We compute the cohomology ring of the complement of a toric arrangement with integer coefficients and investigate its dependency from the arrangement's combinatorial data. To this end, we study a morphism of spectral sequences associated to certain combinatorially defined subcomplexes of the toric Salvetti category in the complexified case, and use a technical argument in order to extend the results to full generality. As a byproduct we obtain: -a "combinatorial" version of Brieskorn's lemma in terms of Salvetti complexes of complexified arrangements, -a uniqueness result for realizations of arithmetic matroids with at least one basis of multiplicity 1., Comment: Improved and expanded exposition, 42 pages, 3 figures

Published
2015

49. Cryptomorphisms for abstract rigidity matroids

Author

Delucchi, Emanuele and Lindemann, Tim

Subjects
Mathematics - Combinatorics
Abstract

This note contributes to the structure theory of abstract rigidity matroids in general dimension. In the spirit of classical matroid theory, we prove several cryptomorphic characterizations of abstract rigidity matroids (in terms of circuits, cocircuits, bases, hyperplanes). Moreover, the study of hyperplanes in abstract rigidity matroids leads us to state (and support with significant evidence) a conjecture about characterizing the class of abstract rigidity matroids by means of certain "prescribed substructures". We then prove a recursive version of this conjecture., Comment: 16 pages, 4 figures

Published
2015

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