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Cone-Compatible Monge Geometry for High-Dimensional Ordered Optimal Transport
Announce Type: new Abstract: High-dimensional optimal transport is seldom available in closed form. The one-dimensional case is exceptional because the order of the real line is compatible with convex transport costs, making monotone rearrangement optimal. This paper studies when an analogous Monge structure can be recovered in higher dimensions from a partial order.
An extremal problem for completely unclustered Burrows-Wheeler images
arXiv:2606.01267v1 Announce Type: cross Abstract: The Burrows--Wheeler transform is usually viewed as a clustering transform: it tends to group equal letters into long runs. We study the opposite extremal regime, where the BWT output is completely unclustered, that is, has as many equal-letter runs as positions. Known results imply, on the one hand, that the number of runs in the BWT of a Lyndon word can increase by at most a factor of two, and, on the other hand, that over every alphabet of...
Almost balanced ordered biclique covering of graphs
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Why ‘strategic autonomy’ has become a global buzzword
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How nonlinear spectral back transfer limits the temporal coherency of zonal modes?
arXiv:2604.03421v2 Announce Type: replace Abstract: Zonal modes are central to magnetic confinement because their radial shears regulate turbulence and transport. While the generation of these flows is well understood, the mechanisms limiting their persistence in collisionless regimes remain unresolved. In this paper, we demonstrate that nonlinear spectral back-transfer of free energy from zonal modes to turbulence sets the fundamental limit on the temporal coherency of the shearing field.
IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures
arXiv:2605.23830v2 Announce Type: replace-cross Abstract: Symbolic integration over the Haar measure of compact groups is a computational cornerstone in quantum information science and random matrix theory. We present \texttt{IntegrateUnitary.jl}, a comprehensive Julia package for computing exact expectations of polynomial functions over a wide range of compact groups ($U(d)$, $O(d)$, $Sp(d)$, and $SU(d)$ for balanced polynomials), circular and Gaussian ensembles, Ginibre ensembles,...
How to pronounce the world’s trickiest holiday destinations - are you saying them right?
How to pronounce the world’s trickiest holiday destinations - are you saying them right? One in five holidaymakers say they are less likely to visit a destination if they cannot pronounce its name correctly - here's some of the ones people often get wrong Millions of British travellers are limiting where they go on holiday due to a surprisingly simple barrier - not knowing how to pronounce the destination. One in five holidaymakers (22%) are less likely to visit destinations like Ljubljana...
How Much Capacity Does EEG Denoising Need? Ultra-Compact Networks reveal Benchmark Saturation and Metric-Utility Gap
arXiv:2606.08594v1 Announce Type: new Abstract: Deep learning EEG denoising architectures have scaled from tens of thousands to tens of millions of parameters, yet no prior study has isolated model capacity as the experimental variable or tested whether reconstruction metrics predict downstream neural-signal utility. We address both gaps by fixing architecture, loss, data split, and training recipe while sweeping only channel width from 1.05K to 40.26K parameters in a minimal...
ALMAB-DC: Active Learning, Multi-Armed Bandits, and Distributed Computing for Sequential Experimental Design and Black-Box Optimization
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Rossi-alpha Benchmark Validation of a Static Alpha Eigenvalue Capability in OpenMC
arXiv:2606.00907v1 Announce Type: new Abstract: A static alpha eigenvalue capability was implemented in a modified version of the open-source Monte Carlo radiation transport code OpenMC and validated against Rossi-alpha measurements from 21 delayed-critical benchmark experiments and 33 subcritical configurations spanning fast, intermediate, and thermal systems with U-233, HEU, IEU, LEU, and plutonium fuels. The effective delayed neutron fraction was calculated using the k-prompt method, and...