no code implementations • 19 Mar 2024 • Alexander Kolpakov, Aidan Rocke
In the present work we use maximum entropy methods to derive several theorems in probabilistic number theory, including a version of the Hardy-Ramanujan Theorem.
1 code implementation • 2 Dec 2023 • Alexander Kolpakov, Igor Rivin
It is worth noting that SOTU addresses provide relatively small writing samples (with about 8'000 words on average, and varying widely from under 2'000 words to more than 20'000), and that the number of authors is relatively large (we used SOTU addresses of 42 US presidents).
2 code implementations • 5 Mar 2023 • Alexander Kolpakov, Michael Werman
Robust Affine matching with Grassmannians (RAG) is a new algorithm to perform affine registration of point clouds.
1 code implementation • 10 Dec 2022 • Alexander Kolpakov, Michael Werman
In this note, we propose an approach to initialize the Iterative Closest Point (ICP) algorithm to match unlabelled point clouds related by rigid transformations.
no code implementations • ICLR 2022 • Liudmila Prokhorenkova, Dmitry Baranchuk, Nikolay Bogachev, Yury Demidovich, Alexander Kolpakov
From a theoretical perspective, we rigorously analyze the time and space complexity of graph-based NNS, assuming that an n-element dataset is uniformly distributed within a d-dimensional ball of radius R in the hyperbolic space of curvature -1.