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Computer Science Preprint PDF DOI

Latent Adversarial Detection: Adaptive Probing of LLM Activations for Multi-Turn Attack Detection

Prashant Kulkarni ยท 2026

Multi-turn prompt injection follows a known attack path -- trust-building, pivoting, escalation but text-level defenses miss covert attacks where individual turns appear benign. We show this attack paโ€ฆ

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Physics Preprint PDF DOI

Order by disorder up to arbitrarily high temperature

Ravish Mehta ยท 2026

We prove that a class of classical lattice models on $\mathbb{Z}^d$ ($d \geq 2$) with on-site space $\mathbb{N}_0$ exhibits long-range checkerboard order at sufficiently high temperature. The model haโ€ฆ

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Computer Science Preprint PDF DOI

Towards an Ethical AI Curriculum: A Pan-African, Culturally Contextualized Framework for Primary and Secondary Education

Abidemi Kuburat Adedeji, Franklin Tchakounte, Sulaiman Oluwasegun Yusuff ยท 2026

Artificial intelligence (AI) is now embedded in educational, civic, and economic systems worldwide. For African primary and secondary education, this creates a double imperative: to prepare a young poโ€ฆ

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Mathematics Preprint PDF DOI

Structural description of (bull, house)-free graphs

Manoj Belavadi, Chinh T. Hoang ยท 2026

The bull is a graph consisting of a triangle and two pendant edges. The P_5 is the chordless path on five vertices. The house is the complement of a P_5. A graph is k-critical if it is k-chromatic butโ€ฆ

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Mathematics Preprint PDF DOI

Property $R_\infty$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou ยท 2026

We give a unified proof of property $R_\infty$ for the Higman groups $H_n$ ($n\ge 4$) and for their generalizations studied by Martin and Horbez--Huang. As a key step, we prove that the automorphism gโ€ฆ

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Mathematics Preprint PDF DOI

Families of Unit Equations and Exponential Diophantine Problems via Integral Points

Julie Tzu-Yueh Wang, Zheng Xiao ยท 2026

This paper investigates the distribution of integral points on projective varieties via two distinct methods: the Ru-Vojta theorem and our higher-dimensional generalization of the Huang-Levin-Xiao ineโ€ฆ

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Mathematics Preprint PDF DOI

Separation profiles of free products

David Hume ยท 2026

We deduce from a theorem of Dvorak--Norin that the separation and treewidth profiles of graphs are asymptotically equivalent, resolving a question of Huang--Hume--Kelly--Lam. As an application, we calโ€ฆ

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Mathematics Preprint PDF DOI

On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data

Xiangdi Huang, Muxi Lei, Huitao Zhou ยท 2026

Since the pioneering work of Korteweg (1901) and the subsequent refinement of capillary fluid models by Dunn and Serrin (1985), the global existence of strong solutions to the multi-dimensional compreโ€ฆ

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Computer Science Preprint PDF DOI

IIRSim Studio: A Dashboard for User Simulation

Saber Zerhoudi, Adam Roegiest, Michael Granitzer ยท 2026

User simulation is a valuable methodology for evaluation in Information Retrieval (IR), enabling low-cost experimentation and counterfactual analysis. However, existing simulation frameworks are primaโ€ฆ

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Computer Science Preprint PDF DOI

A Note on Interdiction of Linear Minimization Problems

Yu Cong, Kangyi Tian ยท 2026

Motivated by the FPTAS for connectivity interdiction of Huang et al. (IPCO'24), we isolate the part of the argument that does not use cuts. The setting is a minimization problem over a feasible-set faโ€ฆ

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Physics Preprint PDF DOI

Scissors modes in generalized Gross-Pitaevskii equations

Neelam Shukla, Oleksandr V. Marchukov, Bastien Humbert, Jan Arlt, Jeremy Armstrong, Artem G. Volosniev ยท 2026

We investigate scissors modes in nonlinear systems with arbitrary power-law dependence of the nonlinear term. Through analytical derivation, we establish a general expression demonstrating that, in thโ€ฆ

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Mathematics Preprint PDF DOI

Sharp condition-number bounds for growth factors of Higham matrices in Gaussian elimination

Teng Zhang ยท 2026

Higham's conjecture on the growth factor of complex symmetric positive definite matrices is a longstanding problem in the stability theory of Gaussian elimination without pivoting. It asserts that eveโ€ฆ

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Neuroscience Preprint PDF DOI

Response time of lateral predictive coding and benefits of modular structures

Guanghui Cai, Zhen-Ye Huang, Weikang Wang, Hai-Jun Zhou ยท 2026

Lateral predictive coding (LPC) is a simple theoretical framework to appreciate feature detection in biological neural circuits. Recent theoretical work [Huang et al., Phys.Rev.E 112, 034304 (2025)] hโ€ฆ

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Mathematics Preprint PDF DOI

Chevalley property of module-finite Hopf algebras and discriminant ideals

Yimin Huang, Tiancheng Qi, Quanshui Wu, Ruipeng Zhu ยท 2026

In this paper, we study the Chevalley property of Cayley-Hamilton Hopf algebras in the sense of De Concini-Procesi-Reshetikhin-Rosso using discriminant ideals. For any affine Cayley-Hamilton Hopf algeโ€ฆ

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Engineering Preprint PDF DOI

UniPASE: A Generative Model for Universal Speech Enhancement with High Fidelity and Low Hallucinations

Xiaobin Rong, Zheng Wang, Yushi Wang, Jun Gao, Jing Lu ยท 2026

Universal speech enhancement (USE) aims to restore speech signals from diverse distortions across multiple sampling rates. We propose UniPASE, an extension of the low-hallucination PASE framework tailโ€ฆ

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Mathematics Preprint PDF DOI

The Huang Algebra Ideal and the Diagonal Shift Property

Darlayne Addabbo ยท 2026

Let $V$ be a grading-restricted vertex algebra and let $A^\infty(V)=U^\infty(V)/Q^\infty(V)$ be the associative algebra constructed by Huang, where $U^\infty(V)$ is the space of column-finite infiniteโ€ฆ

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Mathematics Preprint PDF DOI

Partial-twuality polynomials of matrices

Qingying Deng, Xian'an Jin, Qi Yan ยท 2026

The study of partial-twuality polynomials originates from the classical operations of geometric duality and Petrie duality on cellularly embedded graphs. These involutions generate the symmetric groupโ€ฆ

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Computer Science Preprint PDF DOI

Faster Approximate Linear Matroid Intersection

Tatsuya Terao ยท 2026

We consider a fast approximation algorithm for the linear matroid intersection problem. In this problem, we are given two $r \times n$ matrices $M_1$ and $M_2$, and the objective is to find a largest โ€ฆ

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Mathematics Preprint PDF DOI

On the (algebraic) notion of 2-ring

Josep Elgueta ยท 2026

By a 2-ring we mean a groupoid with a structure analogous to that of a ring, up to coherent isomorphisms. Two different notions of 2-ring appear in the literature: the notion of {\em Ann-category}, duโ€ฆ

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Computer Science Preprint PDF DOI

Tracing the Chain: Deep Learning for Stepping-Stone Intrusion Detection

Nate Mathews, Nicholas Hopper, Matthew Wright ยท 2026

Stepping-stone intrusions (SSIs) are a prevalent network evasion technique in which attackers route sessions through chains of compromised intermediate hosts to obscure their origin. Effective SSI detโ€ฆ

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