Acknowledgments
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We owe a debt of gratitude to Max Bileschi, Roy Frostig, Zelda Mariet, Stan
Bileschi, Mohammad Norouzi, Chris DuBois and Charles Sutton for reading the
manuscript and providing valuable feedback.
We reused some experimental data for several plots that were originally
produced by Naman Agarwal for other joint research.
We would like to thank Will Chen for invaluable advice on the presentation
of the document.
We would also like to thank Rohan Anil for useful discussions.
Except as otherwise noted, the content of this page is licensed under the Creative Commons Attribution 4.0 License, and code samples are licensed under the Apache 2.0 License. For details, see the Google Developers Site Policies. Java is a registered trademark of Oracle and/or its affiliates.
Last updated 2025-08-25 UTC.
[null,null,["Last updated 2025-08-25 UTC."],[[["\u003cp\u003eThe authors express gratitude to Max Bileschi, Roy Frostig, Zelda Mariet, Stan Bileschi, Mohammad Norouzi, Chris DuBois, and Charles Sutton for their feedback on the manuscript.\u003c/p\u003e\n"],["\u003cp\u003eAcknowledgement is given to Naman Agarwal for the reuse of experimental data in some plots.\u003c/p\u003e\n"],["\u003cp\u003eWill Chen is thanked for providing valuable advice on the document's presentation.\u003c/p\u003e\n"],["\u003cp\u003eGratitude is extended to Rohan Anil for helpful discussions.\u003c/p\u003e\n"]]],[],null,["# Acknowledgments\n\nWe owe a debt of gratitude to Max Bileschi, Roy Frostig, Zelda Mariet, Stan\nBileschi, Mohammad Norouzi, Chris DuBois and Charles Sutton for reading the\nmanuscript and providing valuable feedback.\n\nWe reused some experimental data for several plots that were originally\nproduced by Naman Agarwal for other joint research.\n\nWe would like to thank Will Chen for invaluable advice on the presentation\nof the document.\n\nWe would also like to thank Rohan Anil for useful discussions."]]