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123 papers
Differential Perspectives: Epistemic Disconnects Surrounding the US Census Bureau's Use of Differential Privacy
danah boyd, Jayshree Sarathy
When the U.S. Census Bureau announced its intention to modernize its disclosure avoidance procedures for the 2020 Census, it sparked a controversy that is still underway. The move…
From sphere packing to Fourier interpolation
Henry Cohn
Viazovska's solution of the sphere packing problem in eight dimensions is based on a remarkable construction of certain special functions using modular forms. Great mathematics has…
Sign uncertainty principles and low-degree polynomials
Henry Cohn, Dingding Dong, Felipe Gonçalves
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gonçalves sign uncertainty principles for polynomials of sublinear degree times a Gaussian, as the d…
Machine Learning Class Numbers of Real Quadratic Fields
Malik Amir, Yang-Hui He, Kyu-Hwan Lee +2
We implement and interpret various supervised learning experiments involving real quadratic fields with class numbers 1, 2 and 3. We quantify the relative difficulties in separatin…
Adaptive Bias Correction for Improved Subseasonal Forecasting
Soukayna Mouatadid, Paulo Orenstein, Genevieve Flaspohler +4
Subseasonal forecasting -- predicting temperature and precipitation 2 to 6 weeks ahead -- is critical for effective water allocation, wildfire management, and drought and flood mit…
Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform
Kun Meng, Jinyu Wang, Lorin Crawford +1
In this article, we establish the mathematical foundations for modeling the randomness of shapes and conducting statistical inference on shapes using the smooth Euler characteristi…