Latest Research

Covering radii of $3$-zonotopes and the shifted Lonely Runner Conjecture

endorh/slrc-zonotopes 16 Jun 2025

We show that the shifted Lonely Runner Conjecture (sLRC) holds for 5 runners.

Combinatorics Computational Geometry 52C17 (Primary), 52C07, 52B20, 52-04 I.3.5; G.2.1

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16 Jun 2025

Permutation-Avoiding FFT-Based Convolution

venkovic/c-permutation-avoiding-convolution 15 Jun 2025

Fast Fourier Transform (FFT) libraries are widely used for evaluating discrete convolutions.

Numerical Analysis Data Structures and Algorithms Mathematical Software Numerical Analysis

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15 Jun 2025

SINDybrid: automatic generation of hybrid models for dynamic systems

cipt/sindybrid 14 Jun 2025

This work highlights SINDybrid potential as a versatile, automated solution for hybrid modelling, significantly reducing the barriers to adopting hybrid methods in complex dynamic systems across scientific research and industrial applications.

Dynamical Systems

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14 Jun 2025

Automatic differentiation for Lax-Wendroff-type discretizations

arpit-babbar/2025_paper_lw_ad 13 Jun 2025

The application of AD is similar for methods of any order and does not need positivity corrections during the predictor step.

Numerical Analysis Numerical Analysis Computational Physics 65M60, 65M22 G.1.8

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13 Jun 2025

The Generalized Fermat Equation $x^2 + y^3 = z^{25}$

michaelstollbayreuth/verification 12 Jun 2025

We consider the generalized Fermat equation (*) $x^2 + y^3 = z^{25}$.

Number Theory 11G30, 11G35, 14K20

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12 Jun 2025

A note on the properties of the confidence set for the local average treatment effect obtained by inverting the score test

david26694/simulations-score-confidence-set 12 Jun 2025

Moreover, we show that, at any fixed law, the score confidence set asymptotically coincides, up to a term of order 1/n, with the Wald confidence interval based on the doubly robust estimator which solves the estimating equation associated with the nonparametric influence function.

Statistics Theory Methodology Statistics Theory

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12 Jun 2025

The Classification of Graphs on $8$ vertices with Coinciding Zero Forcing number and Maximum Nullity

hunnellm/maximum-nullity 12 Jun 2025

We study the minimum rank of a (simple, undirected) graph, which is the minimum rank among all matrices in a space determined by the graph.

Combinatorics 05C50

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12 Jun 2025

Accelerating Newton-Schulz Iteration for Orthogonalization via Chebyshev-type Polynomials

grishkate/accelerating_orthogonalization 12 Jun 2025

The problem of computing optimal orthogonal approximation to a given matrix has attracted growing interest in machine learning.

Numerical Analysis Numerical Analysis 65F25, 65F60, 53Z50, 68W25

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12 Jun 2025

Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic

north-numerical-computing/integer-matrix-multiply-experiments 12 Jun 2025

We perform a range of numerical experiments, both in simulation and on the latest NVIDIA GPUs, that confirm the analysis and illustrate strengths and weaknesses of the algorithm.

Numerical Analysis Mathematical Software Numerical Analysis 65F99, 65G50, 65Y10

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12 Jun 2025

On a conjecture of Faudree and Schelp

agt-kulak/counterexamples-faudree-schelp 11 Jun 2025

In 1978 Thomassen constructed a (non-cubic and non-planar) family of counterexamples, showing that there exist hamiltonian-connected $n$-vertex graphs containing two vertices with no path of length $n-2$ between them.

Combinatorics

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11 Jun 2025