14 papers · ranked by Valyu relevance
Mathieu Giroux, Sebastian Mizera, Giulio Salvatori
We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the class of linearly-reducible Euler integrals, such as Feynman integrals, and expands them using a tropical subtraction scheme. The engine behind…
L. Fekésházy, A. Kardos
We present LinApart3, an efficient multivariate partial fraction decomposition algorithm for rational functions with linear denominators. Our decomposition algorithm guarantees that each term contains at most as many distinct denominators from the original set as partial fraction variables, introduces no spurious…
Michael Antonov, Gábor Csárdi, Szabolcs Horvát, Kirill Müller + 7 more
Networks or graphs are widely used across the sciences to represent relationships of many kinds. The igraph ([https://igraph.org]()) software library supports graph construction, analysis, and visualisation, combining fast and robust performance with a low entry barrier. igraph pairs a fast core written in C with…
Matthew Hur, Patrick T. Hwu, Katherine L. Thompson-Peer, Eric D. Mjolsness
Dendrites develop branching patterns that are critical for their function, yet the mechanisms guiding arbor morphology remain incompletely understood, and quantitative models predicting how signals guide morphology remain limited. The ddaE neuron in Drosophila larvae is a proprioceptive sensory neuron with a…
Theodoros Anagnostopoulos, Evanthia Zervoudi, Christos Anagnostopoulos, Apostolos Christopoulos + 1 more
Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance when compared with other algorithms in literature. In this research effort an…
Gideon Baur, Claude Duhr
We introduce IterInt, a novel package implemented in both Mathematica and C++ for the numerical evaluation of iterated integrals involving arbitrary integration kernels. After the user has defined the integration kernels, IterInt transforms the iterated integrals into a system of first-order linear differential…
Muhammad Bilal, Yazen M. Alawaideh, Shafqat Ur Rehman, Ioan-Lucian Popa + 2 more
The purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross-Pitaevskii problem, a basic nonlinear Schrödinger equation. Soliton solutions are essential for comprehending the complex system dynamics, providing insight into superfluidity…
Alexander V. Smirnov, Mao Zeng
FIRE7 is a major update to the FIRE program for integration-by-parts (IBP) reduction of Feynman integrals. A large part of improvements is related to the automatic reduction and reconstruction with the modular arithmetic approach, while the performance of the classical rational polynomial approach is also significantly…
Amir Hossein Salehi Shayegan
In this work, we present a solution to the critical limitation of qubit capacity in near-term quantum hardware by giving a hybrid framework that integrates the spectral element method (SEM) with distributed quantum computing. Using domain decomposition techniques, the additive and multiplicative Schwarz methods, the…
Ralf Hemmecke, Peter Paule, Cristian-Silviu Radu
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi $$\end{document} π Authors: Ralf Hemmecke, Peter Paule, Cristian-Silviu Radu Referring to ideas of Sato and Yang in…
Yiming Cheng, Yan Li
Spatial heterogeneity in drug distribution, particularly within solid tumors, can compromise target engagement and drive therapeutic failure in oncology, yet it is rarely represented in population pharmacokinetic (PopPK) analyses. Standard empirical compartmental or semi-mechanistic models assume “well-stirred”…
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The complete active space self-consistent field (CASSCF) method is essential for describing complex photochemical processes, but its application in ab initio molecular dynamics is often limited by the computational cost associated with four-center two-electron repulsion integrals (ERIs). We present the first…
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High-level quantum mechanical (QM) simulations provide accurate electronic information of chemical systems but scale unfavourably with system size, making calculations of applied systems challenging. Hierarchical quantum mechanics in quantum mechanics embedding (QM/QM) addresses this issue by localising the highly…
Christos Papalitsas, Ioannis Mouratidis, Michail Patsakis, Evangelos Stogiannos + 2 more
The exponential growth of publicly available genomic data has created unprecedented opportunities for sequence-based discovery. Locating specific k-mers is fundamental to diverse applications, including metagenomic classification, pathogen and cancer detection, and variant calling yet efficient identification of…