Quantile Regression Gets a Speed Boost with Sinkhorn
![The study demonstrates diminishing duality gaps-measured as [latex]D(\widehat{f}^{t\_{\max}},\widehat{g}^{t\_{\max}},\widehat{h}^{t\_{\max}})-D(\widehat{f}^{t},\widehat{g}^{t},\widehat{h}^{t})[/latex]-observed across iterations using the iris dataset, converging toward a stable solution after [latex]t\_{\max}=100[/latex] iterations.](https://arxiv.org/html/2603.21554v1/x2.png)
New research demonstrates how Sinkhorn algorithms can dramatically accelerate vector quantile regression, offering a faster path to robust statistical inference.
Science
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Beyond Encryption: Connecting the Dots for Secure Computation
This review details a novel framework for building bridges between different homomorphic encryption schemes, paving the way for more flexible and efficient secure computation.
Decoding the Hidden Structure of Network Communication
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Unlocking the Secrets of Exotic Pentaquarks
![The theoretical framework explores the strong decay pathways of pentaquark states-specifically, the [latex] P\psi N_{\psi}^{N} [/latex] and [latex] P\psi_{s}^{\Lambda} [/latex]-through triangle loop diagrams, where doubled lines visually represent the complex internal structure of these exotic hadrons and their decay mechanisms.](https://arxiv.org/html/2603.21738v1/x1.png)
New research delves into how recently discovered hidden-charm pentaquark states decay, bolstering the theory that these particles are loosely bound combinations of charmed baryons and mesons.
Beyond Ergodicity: New Quantum States of Matter
Researchers are uncovering unexpected behavior in many-body quantum systems, challenging conventional understandings of how these systems reach thermal equilibrium.
5G Under Attack: Container Isolation Broken by eBPF
New research reveals critical vulnerabilities in containerized 5G core networks leveraging eBPF, potentially allowing attackers to move laterally between network functions.
Hunting Exotic Pentaquarks: A Theoretical Guide
![The masses of pentaquark states-specifically those designated [latex]P(3c2b)[/latex] and [latex]P(3b2c)[/latex]-shift predictably with alterations to the threshold parameter [latex]s_0[/latex] and [latex]M^2[/latex], suggesting a nuanced relationship between these parameters and the stability of these exotic hadronic configurations, as demonstrated across three distinct current settings.](https://arxiv.org/html/2603.19891v1/x18.png)
New research leverages advanced theoretical models to predict the properties of elusive, fully-heavy pentaquark states.
Twisting the Rules: Mutation and the Structure of Theta Functions
![The scattering function [latex]\operatorname{Scat}(\mu\_{1}({\tilde{B}}))[/latex] is presented alongside its decomposition into contributions from the interval [latex]\eta\_{1}^{B}([-2,3])[/latex] and a function of query [latex]\eta\_{1}^{B}(Q)[/latex], demonstrating how the overall scattering is built from these constituent elements.](https://arxiv.org/html/2603.19391v1/x2.png)
A new study delves into how theta functions behave within cluster algebras during mutation, revealing surprising connections between mathematical structures and providing tools for computation.