Search Results for author: Alexander Kolpakov

Found 5 papers, 3 papers with code

Machine Learning of the Prime Distribution

no code implementations19 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.

A ripple in time: a discontinuity in American history

1 code implementation2 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).

Dimensionality Reduction

Robust affine point matching via quadratic assignment on Grassmannians

2 code implementations5 Mar 2023 Alexander Kolpakov, Michael Werman

Robust Affine matching with Grassmannians (RAG) is a new algorithm to perform affine registration of point clouds.

An approach to robust ICP initialization

1 code implementation10 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.

Graph-based Nearest Neighbor Search in Hyperbolic Spaces

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.

Information Retrieval Retrieval +1

Cannot find the paper you are looking for? You can Submit a new open access paper.