Reliability of Distribution Predictions by LLMs: Insights from Counterintuitive Pseudo-Distributions

Toma Suzuki, Ayuki Katayama, Seiji Gobara, Ryo Tsujimoto, Hibiki Nakatani, Kazuki Hayashi, Yusuke Sakai, Hidetaka Kamigaito, Taro Watanabe, A. Chowdhery, Sharan Narang, Jacob Devlin, Maarten Bosma, Gaurav Mishra, Adam Roberts, Hyung Paul Barham, Won Chung, Charles Sutton, Sebastian Gehrmann, Parker Schuh, Kensen Shi, Sasha Tsvyashchenko, Joshua Maynez, Abhishek Rao, Parker Barnes, Yi Tay, Noam M. Shazeer, Vinodkumar Prabhakaran, Emily Reif, Nan Du, Ben Hutchinson, Reiner Pope, James Bradbury, Jacob Austin, M. Isard, Guy Gur-Ari, Pengcheng Yin, Toju Duke, Anselm Levskaya, S. Ghemawat, Sunipa Dev, H. Michalewski, Xavier García, Vedant Misra, Kevin Robinson, L. Fedus, Denny Zhou, Daphne Ippolito, D. Luan, Hyeontaek Lim, Bar-ret Zoph, A. Spiridonov, Ryan Sepassi, David Dohan, Shivani Agrawal, Mark Omernick, Andrew M. Dai, Thanumalayan Sankaranarayana, Marie Pellat, Aitor Lewkowycz, Erica Moreira, R. 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Menon, Ajay Sharma, Alex Boesen-berg, Alex Vaughan, Alexei Baevski, Allie Feinstein, Amanda Kallet, Amit Sangani, Anam Yunus, An-drei Lupu, Andres Alvarado, A. Caples, Andrew Gu, Andrew Ho, Andrew Poulton, Andrew Ryan, Ankit Ramchandani, Annie Franco, Apara-jita Saraf, Arkabandhu Chowdhury, Ashley Gabriel, Ashwin Bharambe, Assaf Eisenman, Azadeh Yaz-dan, Beau James, Ben Maurer, B. Leonhardi, Bernie Huang, Beth Loyd, Beto de Paola, Bhargavi Paranjape, Bing Liu, Bo Wu, B. Ni, Braden Han-cock, Bram Wasti, Brandon Spence, B. 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Reso, Maxim Groshev, Maya Naumov, Meghan Lathi, Michael L Keneally, Michal Seltzer, M. Valko, Mihir Restrepo, Mik Patel, Mik Vyatskov, Mike Samvelyan, Mike Clark, Mike Macey, Miquel Wang, Jubert Mo, Mo Metanat, Mun-ish Rastegari, Nandhini Bansal, Natascha Santhanam, Parks Natasha, Navyata White, Nayan Bawa, Nick Singhal, Nicolas Egebo, Usunier, Nikolay Pavlovich, Laptev Ning, Ning Dong, Norman Zhang, Oleg Cheng, Olivia Chernoguz, Omkar Hart, Ozlem Salpekar, Parkin Kalinli, Parth Kent, Paul Parekh, Pa-van Saab