6 papers
The Tree-SNE Tree Exists
Jack Kendrick
The clustering and visualisation of high-dimensional data is a ubiquitous task in modern data science. Popular techniques include nonlinear dimensionality reduction methods like t-…
Universal Gröbner Bases of (Universal) Multiview Ideals
Timothy Duff, Jack Kendrick, Rekha R. Thomas
Multiview ideals arise from the geometry of image formation in pinhole cameras, and universal multiview ideals are their analogs for unknown cameras. We prove that a natural collec…
Identifying Orbit Lengths for Promotion
Elise Catania, Jack Kendrick, Heather M. Russell +1
In this work we study Schützenberger's promotion operator on standard Young tableaux via a corresponding graphical construction known as diagrams. In particular, we prove that…
Density Estimation on Rectifiable Sets
Jack Kendrick
Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down…
Brackets and Projective Geometry in Macaulay2
Dalton Bidleman, Timothy Duff, Jack Kendrick +1
We introduce the Brackets package for the computer algebra system Macaulay2, which provides convenient syntax for computations involving the classical invariants of the special lin…
Invariant Kernels: Rank Stabilization and Generalization Across Dimensions
Mateo DÃaz, Dmitriy Drusvyatskiy, Jack Kendrick +1
Symmetry arises often when learning from high dimensional data. For example, data sets consisting of point clouds, graphs, and unordered sets appear routinely in contemporary appli…