Zobrazeno 1 - 10
of 3 641
pro vyhledávání: '"Kahle P"'
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are h
Externí odkaz:
http://arxiv.org/abs/2411.09508
Autor:
Kahle, Thomas, Sullivant, Seth
For the distributions of finitely many binary random variables, we study the interaction of restrictions of the supports with conditional independence constraints. We prove a generalization of the Hammersley-Clifford theorem for distributions whose s
Externí odkaz:
http://arxiv.org/abs/2411.03139
Autor:
Kahle, David, Hauenstein, Jonathan D
Nonlinear systems of polynomial equations arise naturally in many applied settings, for example loglinear models on contingency tables and Gaussian graphical models. The solution sets to these systems over the reals are often positive dimensional spa
Externí odkaz:
http://arxiv.org/abs/2410.16071
Autor:
Fouesneau, Morgan, Momcheva, Ivelina G., Chadayammuri, Urmila, Demianenko, Mariia, Dumont, Antoine, Hviding, Raphael E., Kahle, K. Angelique, Pulatova, Nadiia, Rajpoot, Bhavesh, Scheuck, Marten B., Seeburger, Rhys, Semenov, Dmitry, Villaseñor, Jaime I.
ChatGPT and other state-of-the-art large language models (LLMs) are rapidly transforming multiple fields, offering powerful tools for a wide range of applications. These models, commonly trained on vast datasets, exhibit human-like text generation ca
Externí odkaz:
http://arxiv.org/abs/2409.20252
This note proves that only a linear number of holes in a \v{C}ech complex of $n$ points in $\mathbb{R}^d$ can persist over an interval of constant length. The proof uses a packing argument supported by relating the \v{C}ech complexes with correspondi
Externí odkaz:
http://arxiv.org/abs/2409.05241
Autor:
Kahle, Thomas, Vill, Julian
We propose an effective algorithm that decides if a prime ideal in a polynomial ring over the complex numbers can be transformed into a toric ideal by a linear automorphism of the ambient space. If this is the case, the algorithm computes such a tran
Externí odkaz:
http://arxiv.org/abs/2408.14323
Autor:
Kahle, Leonid, Minisini, Benoit, Bui, Tai, First, Jeremy T., Buda, Corneliu, Goldman, Thomas, Wimmer, Erich
Machine-learned potentials (MLPs) trained on ab initio data combine the computational efficiency of classical interatomic potentials with the accuracy and generality of the first-principles method used in the creation of the respective training set.
Externí odkaz:
http://arxiv.org/abs/2408.03058
Autor:
Chellu, Abhiroop, Bej, Subhajit, Wahl, Hanna, Kahle, Hermann, Uusitalo, Topi, Hytönen, Roosa, Rekola, Heikki, Lang, Jouko, Schöll, Eva, Hanschke, Lukas, Kallert, Patricia, Kipp, Tobias, Strelow, Christian, Tuominen, Marjukka, Jöns, Klaus D., Karvinen, Petri, Niemi, Tapio, Guina, Mircea, Hakkarainen, Teemu
On-chip emitters that generate single and entangled photons are essential for photonic quantum information processing technologies. Semiconductor quantum dots (QDs) are attractive candidates that emit high-quality quantum states of light, however at
Externí odkaz:
http://arxiv.org/abs/2407.11642
Autor:
Kahle, K. Angelique, Wyrowski, Friedrich, König, Carsten, Christensen, Ivalu Barlach, Tiwari, Maitraiyee, Menten, Karl M.
Publikováno v:
A&A 687, A162 (2024)
The Lagoon Nebula (M8) is host to multiple regions with recent and ongoing massive star formation. With M8-Main and M8 East, two prominent regions of massive star formation have been studied in detail over the past years, while large parts of the neb
Externí odkaz:
http://arxiv.org/abs/2404.07920
Autor:
Donnay, Christopher, Kahle, Matthew
Redistricting is the act of dividing a region into districts for electoral representation. Motivated by this application, we study two questions. How many ways are there to partition the $n\times n$ grid into $n$ contiguous districts of equal size? H
Externí odkaz:
http://arxiv.org/abs/2311.13550