Tootfinder

Structure, Perfect Divisibility and Coloring of ($P_2\cup P_4, C_3$)-Free Graphs
Ran Chen, Di Wu, Xiaowen Zhang
https://arxiv.org/abs/2509.14135 https://ar…

Structure, Perfect Divisibility and Coloring of ($P_2\cup P_4, C_3$)-Free Graphs
Randerath {\em et al.} [Discrete Math. 251 (2002) 137-153] proved that every $(P_6,C_3)$-free graph $G$ satisfies $χ(G)\leq4$. Pyatkin [Discrete Math. 313 (2013) 715-720] proved that every $(2P_3,C_3)$-free graph $G$ satisfies $χ(G)\leq4$. In this paper, we prove that for a connected $(P_2\cup P_4, C_3)$-free graph $G$, either $G$ has two nonadjacent vertices $u,v$ such that $N(u)\subseteq N(v)$, or $G$ is 3-colorable, or $G$ contains Grőtzsch graph as an induced subgraph and is an induced s…

FourCastNet 3: A geometric approach to probabilistic machine-learning weather forecasting at scale
Boris Bonev, Thorsten Kurth, Ankur Mahesh, Mauro Bisson, Jean Kossaifi, Karthik Kashinath, Anima Anandkumar, William D. Collins, Michael S. Pritchard, Alexander Keller
https://arxiv.org/abs/2507.12144…

FourCastNet 3: A geometric approach to probabilistic machine-learning weather forecasting at scale
FourCastNet 3 advances global weather modeling by implementing a scalable, geometric machine learning (ML) approach to probabilistic ensemble forecasting. The approach is designed to respect spherical geometry and to accurately model the spatially correlated probabilistic nature of the problem, resulting in stable spectra and realistic dynamics across multiple scales. FourCastNet 3 delivers forecasting accuracy that surpasses leading conventional ensemble models and rivals the best diffusion-ba…

$\pi^3$: Scalable Permutation-Equivariant Visual Geometry Learning
Yifan Wang, Jianjun Zhou, Haoyi Zhu, Wenzheng Chang, Yang Zhou, Zizun Li, Junyi Chen, Jiangmiao Pang, Chunhua Shen, Tong He
https://arxiv.org/abs/2507.13347

$π^3$: Scalable Permutation-Equivariant Visual Geometry Learning
We introduce $π^3$, a feed-forward neural network that offers a novel approach to visual geometry reconstruction, breaking the reliance on a conventional fixed reference view. Previous methods often anchor their reconstructions to a designated viewpoint, an inductive bias that can lead to instability and failures if the reference is suboptimal. In contrast, $π^3$ employs a fully permutation-equivariant architecture to predict affine-invariant camera poses and scale-invariant local point maps …

The Masses of Fermions in the context of the Supersymmetric $SU(3)_{C}\times SU(3)_{L}\times U(1)_{N}$ Model
M. C. Rodriguez
https://arxiv.org/abs/2508.11456 https://

The Masses of Fermions in the context of the Supersymmetric $SU(3)_{C}\times SU(3)_{L}\times U(1)_{N}$ Model
We will study in details the masses spectrum of fermions of the Minimal Supersymmetric $SU(3)_{C}\times SU(3)_{L}\times U(1)_{N}$ Model. We will consider the case in which all the usual neutral scalars fields of this model obtain vacuum expectation values, in both case when we have $R$-parity conservation, respect the invariance of the quantum number, ${\cal F}\equiv B+L$, where $B$ is the baryon number while $L$ is the total lepton number, and the oppposite ones, it means $R$-parity violation.…

History-dependent and frequency-dependent dielectric nonlinearities induced by polar nanoregions in a thin film of 0.5 ( Ba 0.7 Ca 0.3 TiO 3 ) -- 0.5 ( BaZr 0.2 Ti 0.8 O 3 )
Kevin Nadaud (GREMAN), Guillaume Nataf (GREMAN), Nazir Jaber (GREMAN), Edgar Chaslin (GREMAN), B\'eatrice Negulescu (GREMAN), J\'er\^ome Wolfman (GREMAN, CNRS)
https://…

History-dependent and frequency-dependent dielectric nonlinearities induced by polar nanoregions in a thin film of 0.5 ( Ba 0.7 Ca 0.3 TiO 3 ) -- 0.5 ( BaZr 0.2 Ti 0.8 O 3 )
In this article, dielectric nonlinearities in 0.5(Ba0.7 Ca0.3 TiO3 ) -- 0.5(BaZr 0.2 Ti0.8 O3 ) thin film are studied using impedance spectroscopy and harmonic measurements, as a function of the AC measuring field, at different frequencies and upon cycling. The measurements reveal that the pinching of the hysteresis loop, characterized by a phase angle of the third harmonic close to --270 deg, is stronger for low frequencies. This confirms that the pinching is induced by the presence of polar n…

The pseudoautomorphism group of $\mathbb{P}^3$ blown-up at $8$ very general points
C\'ecile Gachet
https://arxiv.org/abs/2509.12977 https://arxiv.org/p…

The pseudoautomorphism group of $\mathbb{P}^3$ blown-up at $8$ very general points
We prove that the pseudoautomorphism group of a blow-up of $\mathbb{P}^3$ at $8$ very general points is trivial. We also establish the injectivity of the Coble representation associated to blow-ups of $\mathbb{P}^3$ at $r\ge 8$ general points, answering a question of Dolgachev--Ortland.

Diagrams of links and bands on 3-manifold spines and flow-spines
Carlo Petronio
https://arxiv.org/abs/2506.14320 https://arxiv.org/pd…

Diagrams of links and bands on 3-manifold spines and flow-spines
The Reidemeister theorem states that any link in $3$-space can be encoded by a diagram (a suitably decorated projection) on a plane, and provides a finite set of combinatorial moves relating two diagrams of the same link up to isotopy. In this note we replace $3$-space by any 3-manifold $M$ and we extend the Reidemeister theorem (definition of the decoration and description of the combinatorial moves) in four situations, taking diagrams either of links or of bands (collections of cylinders and …

T-dualities and scale-separated AdS$_3$ in type I
Zheng Miao, Muthusamy Rajaguru, George Tringas, Timm Wrase
https://arxiv.org/abs/2509.12801 https://arxiv…

T-dualities and scale-separated AdS$_3$ in type I
We perform three T-dualities on previously found, classical $\mathcal{N}=1$ scale-separated AdS$_3$ solutions of massive type IIA supergravity. These solutions arose from a compactification on a toroidal $G_2$-holonomy space with smeared O2/D2 and O6/D6 sources. The T-dual backgrounds are classical $\mathcal{N}=1$ AdS$_3$ solutions of type IIB supergravity with O5/D5 and O9/D9 sources (type I) compactified on a space with $G_2$-structure and non-vanishing Ricci scalar. We generalize the origina…

PerchMobi^3: A Multi-Modal Robot with Power-Reuse Quad-Fan Mechanism for Air-Ground-Wall Locomotion
Yikai Chen, Zhi Zheng, Jin Wang, Bingye He, Xiangyu Xu, Jialu Zhang, Huan Yu, Guodong Lu
https://arxiv.org/abs/2509.12620

PerchMobi^3: A Multi-Modal Robot with Power-Reuse Quad-Fan Mechanism for Air-Ground-Wall Locomotion
Achieving seamless integration of aerial flight, ground driving, and wall climbing within a single robotic platform remains a major challenge, as existing designs often rely on additional adhesion actuators that increase complexity, reduce efficiency, and compromise reliability. To address these limitations, we present PerchMobi^3, a quad-fan, negative-pressure, air-ground-wall robot that implements a propulsion-adhesion power-reuse mechanism. By repurposing four ducted fans to simultaneously p…

Converting IEC 61131-3 LD into SFC Using Large Language Model: Dataset and Testing
Yimin Zhang, Mario de Sousa
https://arxiv.org/abs/2509.12593 https://arx…

Converting IEC 61131-3 LD into SFC Using Large Language Model: Dataset and Testing
In the domain of Programmable Logic Controller (PLC) programming, converting a Ladder Diagram (LD) into a Sequential Function Chart (SFC) is an inherently challenging problem, primarily due to the lack of domain-specific knowledge and the issue of state explosion in existing algorithms. However, the rapid development of Artificial Intelligence (AI) - especially Large Language Model (LLM) - offers a promising new approach. Despite this potential, data-driven approaches in this field have been …

Linear Planar 3-SAT and Its Applications in Planning
Victorien Desbois, Ocan Sankur, Fran\c{c}ois Schwarzentruber
https://arxiv.org/abs/2506.14713 https://…

Linear Planar 3-SAT and Its Applications in Planning
Several fragments of the satisfiability problem have been studied in the literature. Among these, Linear 3-SAT is a satisfaction problem in which each clause (viewed as a set of literals) intersects with at most one other clause; moreover, any pair of clauses have at most one literal in common. Planar 3-SAT is a fragment which requires that the so-called variable-clause graph is planar. Both fragments are NP-complete and have applications in encoding NP-hard planning problems. In this paper, we…

$2$-representation infinite algebras from non-abelian subgroups of $\operatorname{SL}_3$. Part II: Central extensions and exceptionals
Darius Dramburg
https://arxiv.org/abs/2507.12923

$2$-representation infinite algebras from non-abelian subgroups of $\operatorname{SL}_3$. Part II: Central extensions and exceptionals
Let $G \leq \operatorname{SL}_3(\mathbb{C})$ be a non-trivial finite group, acting on $R = \mathbb{C}[x_1, x_2, x_3]$. We continue our investigation from arXiv:2505.10683 [math.RT] into when the resulting skew-group algebra $R \ast G$ is a $3$-preprojective algebra of a $2$-representation infinite algebra. We consider the subgroups arising from $\operatorname{GL}_2(\mathbb{C}) \hookrightarrow \operatorname{SL}_3(\mathbb{C})$, called type (B), as well as the exceptional subgroups, called types (…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- Event2Vec: A Geometric Approach to Learning Composable Representations of Event Sequences
Antonin Sulc

Hexagonal 3-webs of circles with polar twisted cubic
Sergey I. Agafonov
https://arxiv.org/abs/2507.12139 https://arxiv.org/pdf/2507.1…

Hexagonal 3-webs of circles with polar twisted cubic
The paper describes and classifies hexagonal circular 3-webs on unit sphere such that the polar points of the web circles lie on a twisted cubic, thus completing classification of hexagonal circular 3-webs with algebraic polar curves of degree three.

A new approach to (3 1)-dimensional TQFTs via topological modular forms
Sergei Gukov, Vyacheslav Krushkal, Lennart Meier, Du Pei
https://arxiv.org/abs/2509.12402 https://…

A new approach to (3+1)-dimensional TQFTs via topological modular forms
In this paper, we present a construction toward a new type of TQFTs at the crossroads of low-dimensional topology, algebraic geometry, physics, and homotopy theory. It assigns TMF-modules to closed 3-manifolds and maps of TMF-modules to 4-dimensional cobordisms. This is a mathematical proposal for one of the simplest examples in a family of $π_*({\rm TMF})$-valued invariants of 4-manifolds which are expected to arise from 6-dimensional superconformal field theories. As part of the construction…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- Moir\'e Superradiance in Cavity Quantum Electrodynamics with Quantum Atom Gas
Lu Zhou, Zheng-Chun Li, Keye Zhang, Zhihao Lan, Alessio Celi, Weiping Zhang

Improved Rates for Stochastic Variance-Reduced Difference-of-Convex Algorithms
Anh Duc Nguyen, Alp Yurtsever, Suvrit Sra, Kim-Chuan Toh
https://arxiv.org/abs/2509.11657 https://…

Improved Rates for Stochastic Variance-Reduced Difference-of-Convex Algorithms
In this work, we propose and analyze DCA-PAGE, a novel algorithm that integrates the difference-of-convex algorithm (DCA) with the ProbAbilistic Gradient Estimator (PAGE) to solve structured nonsmooth difference-of-convex programs. In the finite-sum setting, our method achieves a gradient computation complexity of $O(N + N^{1/2}\varepsilon^{-2})$ with sample size $N$, surpassing the previous best-known complexity of $O(N + N^{2/3}\varepsilon^{-2})$ for stochastic variance-reduced (SVR) DCA meth…

Quality Assessment of Python Tests Generated by Large Language Models
Victor Alves, Carla Bezerra, Ivan Machado, Larissa Rocha, T\'assio Virg\'inio, Publio Silva
https://arxiv.org/abs/2506.14297

Quality Assessment of Python Tests Generated by Large Language Models
The manual generation of test scripts is a time-intensive, costly, and error-prone process, indicating the value of automated solutions. Large Language Models (LLMs) have shown great promise in this domain, leveraging their extensive knowledge to produce test code more efficiently. This study investigates the quality of Python test code generated by three LLMs: GPT-4o, Amazon Q, and LLama 3.3. We evaluate the structural reliability of test suites generated under two distinct prompt contexts: Te…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/8]:
- Leveraging Large Language Models to Democratize Access to Costly Datasets for Academic Research
Julian Junyan Wang, Victor Xiaoqi Wang

Zigzag antiferromagnets in the SU(3) Hubbard model on the square lattice
Stijn V. Kleijweg, Philippe Corboz
https://arxiv.org/abs/2506.14703 https://

Zigzag antiferromagnets in the SU(3) Hubbard model on the square lattice
SU(N) Hubbard models exhibit a rich variety of phases, which may be realized through quantum simulation with ultracold atomic gases in optical lattices. In this work we study the Mott insulating phases of the SU(3) Hubbard model at 1/3-filling using infinite projected entangled-pair states, optimized with both imaginary time evolution and variational optimization. In the limit of strong interactions we reproduce the antiferromagnetic 3-sublattice ordered state previously identified in the SU(3)…

On the $P(t)$-adic Littlewood Conjecture in Characteristics $\ell \equiv 3\pmod{4}$
Faustin Adiceam, Dzmitry Badziahin
https://arxiv.org/abs/2509.12826 https://

On the $P(t)$-adic Littlewood Conjecture in Characteristics $\ell \equiv 3\pmod{4}$
Given a prime $p$, the $p$-adic Littlewood Conjecture stands as a well-known arithmetic variant of the celebrated Littlewood Conjecture in Diophantine Approximation. In the same way as the latter, it admits a natural function field analogue depending on the choice of an irreducible polynomial $P(t)$ with coefficients in a field $\mathbb{K}$. This analogue is referred to as the $P(t)$-adic Littlewood Conjecture ($P(t)$-LC for short). $P(t)$-LC is proved to fail for any choice of irreducible po…

Predicting the resolved CO emission of $z=1-3$ star-forming galaxies
R. Anirudh, Melanie Kaasinen, Gerg\"o Popping, Desika Narayanan, Karolina Garcia, Dariannette Valentin-Martinez
https://arxiv.org/abs/2506.13899

Predicting the resolved CO emission of $z=1-3$ star-forming galaxies
(Abridged) Resolved observations of the CO emission from $z=1-3$ star-forming galaxies are becoming increasingly common, with new high-resolution surveys on the horizon. We aim to inform the interpretation of this resolved CO emission by creating synthetic observations and testing to what extent routinely observed CO transitions can be used to trace H$_2$ across galaxy disks. To this end, we extract $z=1-3$ massive star-forming galaxies (on and above the main sequence) from the SIMBA cosmologic…

Crosslisted article(s) found for math.CT. https://arxiv.org/list/math.CT/new
[1/1]:
- The Classification of 3 1d Symmetry Enriched Topological Order
Thibault D. D\'ecoppet, Matthew Yu

Weighted First Order Model Counting for Two-variable Logic with Axioms on Two Relations
Qipeng Kuang, V\'aclav K\r{u}la, Ond\v{r}ej Ku\v{z}elka, Yuanhong Wang, Yuyi Wang
https://arxiv.org/abs/2508.11515

Weighted First Order Model Counting for Two-variable Logic with Axioms on Two Relations
The Weighted First-Order Model Counting Problem (WFOMC) asks to compute the weighted sum of models of a given first-order logic sentence over a given domain. The boundary between fragments for which WFOMC can be computed in polynomial time relative to the domain size lies between the two-variable fragment ($\text{FO}^2$) and the three-variable fragment ($\text{FO}^3$). It is known that WFOMC for \FOthree{} is $\mathsf{\#P_1}$-hard while polynomial-time algorithms exist for computing WFOMC for $…

Exchange and spin-orbit proximity driven topological and transport phenomena in twisted graphene/CrI$_3$ heterostructures
M. Jafari, M. Gmitra, A. Dyrda{\l}
https://arxiv.org/abs/2509.11670

Exchange and spin-orbit proximity driven topological and transport phenomena in twisted graphene/CrI$_3$ heterostructures
We present results of comprehensive first-principles and kp-method studies of electronic, magnetic, and topological properties of graphene on a monolayer of CrI$_3$. First, we identify a twist angle between the graphene and CrI$_3$, that positions the graphene Dirac cones within the bandgap of CrI$_3$. Then, we derive the low-energy effective Hamiltonian describing electronic properties of graphene Dirac cones. Subsequently, we examine anomalous and valley Hall conductivity and discuss possible…

On the $PGL_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms in characteristic three
Krishna Kaipa, Puspendu Pradhan
https://arxiv.org/abs/2508.11229 https://

On the $PGL_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms in characteristic three
We consider the problem of classifying the lines of the projective $3$-space $PG(3,q)$ over a finite field $\mathbb{F}_q$ into orbits of the group $PGL_2(q)$ of linear symmetries of the twisted cubic $C$. The problem has been solved in literature in characteristic different from $3$, and in this work, we solve the problem in characteristic $3$. We reduce this problem to another problem, which is the classification of binary quartic forms into $PGL_2(q)$-orbits. We first solve the latter problem…

Theta-invariants of $\mathbb{Z}\pi$-homology equivalences to spherical 3-manifolds
Hisatoshi Kodani, Tadayuki Watanabe
https://arxiv.org/abs/2507.12121 htt…

Theta-invariants of $\mathbb{Z}π$-homology equivalences to spherical 3-manifolds
We study Bott and Cattaneo's $Θ$-invariant of 3-manifolds applied to $\mathbb{Z}π$-homology equivalences from 3-manifolds to a fixed spherical 3-manifold. The $Θ$-invariants are defined by integrals over configuration spaces of two points with local systems and by choosing some invariant tensors. We compute upper bounds of the dimensions of the space spanned by the Bott--Cattaneo $Θ$-invariants and of that spanned by Garoufalidis and Levine's finite type invariants of type 2. The computatio…

CLAIRE: A Dual Encoder Network with RIFT Loss and Phi-3 Small Language Model Based Interpretability for Cross-Modality Synthetic Aperture Radar and Optical Land Cover Segmentation
Debopom Sutradhar, Arefin Ittesafun Abian, Mohaimenul Azam Khan Raiaan, Reem E. Mohamed, Sheikh Izzal Azid, Sami Azam
https://arxiv.org/abs/2509.11952

CLAIRE: A Dual Encoder Network with RIFT Loss and Phi-3 Small Language Model Based Interpretability for Cross-Modality Synthetic Aperture Radar and Optical Land Cover Segmentation
Accurate land cover classification from satellite imagery is crucial in environmental monitoring and sustainable resource management. However, it remains challenging due to the complexity of natural landscapes, the visual similarity between classes, and the significant class imbalance in the available datasets. To address these issues, we propose a dual encoder architecture that independently extracts modality-specific features from optical and Synthetic Aperture Radar (SAR) imagery, which are …

Predicting and Explaining Traffic Crash Severity Through Crash Feature Selection
Andrea Castellani, Zacharias Papadovasilakis, Giorgos Papoutsoglou, Mary Cole, Brian Bautsch, Tobias Rodemann, Ioannis Tsamardinos, Angela Harden
https://arxiv.org/abs/2508.11504

Predicting and Explaining Traffic Crash Severity Through Crash Feature Selection
Motor vehicle crashes remain a leading cause of injury and death worldwide, necessitating data-driven approaches to understand and mitigate crash severity. This study introduces a curated dataset of more than 3 million people involved in accidents in Ohio over six years (2017-2022), aggregated to more than 2.3 million vehicle-level records for predictive analysis. The primary contribution is a transparent and reproducible methodology that combines Automated Machine Learning (AutoML) and explain…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- SEALGuard: Safeguarding the Multilingual Conversations in Southeast Asian Languages for LLM Softw...
Wenliang Shan, Michael Fu, Rui Yang, Chakkrit Tantithamthavorn

Suppression of Thermal Conductivity via Singlet-Dominated Scattering in TmFeO$_3$
M. L. McLanahan, D. Lederman, A. P. Ramirez
https://arxiv.org/abs/2507.12608

Suppression of Thermal Conductivity via Singlet-Dominated Scattering in TmFeO$_3$
We measured the thermal conductivity of the rare-earth orthoferrites, $R$FeO$_3$, where $R$ = Eu, Gd, Tb, Dy, Ho, Er, Tm, and Yb and see an anomalous strong suppression for TmFeO$_3$. Using a Debye thermal transport model, we demonstrate that this suppression is due to resonant scattering between phonons and the Tm$^{3+}$ $4f$ singlet crystal field levels. The implications of these results are discussed in context of thermal conductivity studies in quantum magnets.

A Determination of $\alpha_s(m_Z)$ at aN$^3$LO$_{\bf QCD}\otimes {\bf NLO}_{\bf QED}$ Accuracy from a Global PDF Analysis
The NNPDF Collaboration, Richard D. Ball, Andrea Barontini, Juan Cruz-Martinez, Stefano Forte, Felix Hekhorn, Emanuele R. Nocera, Juan Rojo, Roy Stegeman
https://arxiv.org/abs/2506.13871

A Determination of $α_s(m_Z)$ at aN$^3$LO$_{\bf QCD}\otimes {\bf NLO}_{\bf QED}$ Accuracy from a Global PDF Analysis
We present a determination of the strong coupling $α_s(m_Z)$ from a global dataset including both fixed-target and collider data from deep-inelastic scattering and a variety of hadronic processes, with a simultaneous determination of parton distribution functions (PDFs) based on the NNPDF4.0 methodology. This determination is performed at NNLO and approximate N$^3$LO (aN$^3$LO) perturbative QCD accuracy, including QED corrections and a photon PDF up to NLO accuracy. We extract $α_s$ using two…

Remarks on Associated Varieties and Minimal Tension Holography
Andrea E. V. Ferrari
https://arxiv.org/abs/2507.13223 https://arxiv.or…

Remarks on Associated Varieties and Minimal Tension Holography
We comment on certain analogies that have recently emerged between path integral localisation phenomena in minimal tension string theory on $\mathrm{AdS}_3\times S^3\times T^4$ and associated varieties of boundary vertex algebras of 3d $\mathcal{N}=4$ theories. We give evidence for the fact that the path integral localisation relies on an intriguing relation between the conformal boundary of $\mathrm{AdS}_3$ and the associated variety of $V_1(\mathfrak{psl}(2|2))$, (the complexification of…

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[3/3]:
- UnIRe: Unsupervised Instance Decomposition for Dynamic Urban Scene Reconstruction
Yunxuan Mao, Rong Xiong, Yue Wang, Yiyi Liao

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- Efficient Truncations of SU($N_c$) Lattice Gauge Theory for Quantum Simulation
Anthony N. Ciavarella, I. M. Burbano, Christian W. Bauer

Toroidal Cartesian Products Where One Factor is 3-Connected
Elizabeth Badgett, Christian Millichap
https://arxiv.org/abs/2509.12354 https://arxiv.org/pdf/2…

Toroidal Cartesian Products Where One Factor is 3-Connected
In this paper, we provide a partial classification of Cartesian products of graphs that embed on the torus where one factor is $3$-connected. We show that if $G \square H$ embeds on the torus and $G$ is $3$-connected, then $H$ must be a path on two vertices, $P_2$, and we provide significant evidence that $G$ must be outer-cylindrical. At the same time, we show that if $G$ is outer-cylindrical, then $G \square P_2$ embeds on the torus. This all leads us to conjecture that if $G$ is $3$-connecte…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/5]:
- TokenSkip: Controllable Chain-of-Thought Compression in LLMs
Heming Xia, Chak Tou Leong, Wenjie Wang, Yongqi Li, Wenjie Li

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$
Toby Aldape
https://arxiv.org/abs/2509.12542 https://arxiv.org/pdf/25…

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$
Given a Yamaguchi nonrigid parabolic model geometry $(G,P)$ with $G$ simple of real rank at least $3$, we use techniques developed by Erickson to establish the existence of closed, nonflat, essential, regular, normal Cartan geometries modeled on $(G,P)$. Yamaguchi nonrigidity is a necessary condition for admitting nonflat, regular, normal examples. This rules out Lichnerowicz-type conjectures for these model geometries.

Waldschmidt constants of symmetric sets of points in $\mathbb{P}^3$
Sebastian Calvo, Jack Huizenga, Tomasz Szemberg
https://arxiv.org/abs/2507.11888 https:…

Waldschmidt constants of symmetric sets of points in $\mathbb{P}^3$
Configurations of points defined by complex reflection groups have attracted a lot of attention recently in several directions of research, e.g., the containment problem between ordinary and symbolic powers of ideals, in the theory of unexpected hypersurfaces, in the study of sets of points whose general projections are complete intersections and in the ideas revolving around the Bounded Negativity Conjecture. In order to understand these configurations better several attempts have been underta…

[2025-07-18 Fri (UTC), 3 new articles found for cs.PL Programming Languages]
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Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- From Semantic Web and MAS to Agentic AI: A Unified Narrative of the Web of Agents
Tatiana Petrova, Boris Bliznioukov, Aleksandr Puzikov, Radu State

Supergravity from the Bottom Up
Tony Gherghetta, Wenqi Ke
https://arxiv.org/abs/2507.12538 https://arxiv.org/pdf/2507.12538

Supergravity from the Bottom Up
We employ on-shell methods to construct scattering amplitudes and derive effective theories involving massive spin-3/2 fermions interacting with spin 0, 1 and 2 bosons. The four-point massive amplitudes are constructed using an all-line-transverse momentum shift, assuming that in the massless limit, three-point interactions are smooth and the Ward identity is satisfied. For a Majorana spin-3/2 fermion with mass $m_{3/2}$, we show that interactions with only spin 0 and massive spin-1 bosons do n…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/7]:
- Quantized Neural Networks for Microcontrollers: A Comprehensive Review of Methods, Platforms, and...
Hamza A. Abushahla, Dara Varam, Ariel J. N. Panopio, Mohamed I. AlHajri

Enhanced anomalous Hall conductivity via Ga doping in Mn\textsubscript{3}Sn and Mn\textsubscript{3}Ge
Chenyue Wen, Danrong Xiong, Chengyi Yang, Dapeng Zhu, Weisheng Zhao
https://arxiv.org/abs/2508.11321

Enhanced anomalous Hall conductivity via Ga doping in Mn\textsubscript{3}Sn and Mn\textsubscript{3}Ge
This study examines the anomalous Hall effect (AHE) in the Heusler series \ce{Mn3Z} (Z=Ga, Ge, Sn), with a particular emphasis on the manipulation of non-collinear antiferromagnetic structures to enhance AHE. By employing density-functional theory and first-principles calculations, we demonstrate that the anomalous Hall conductivity is markedly responsive to electron filling. By strategically doping Ga into \ce{Mn3Sn} and \ce{Mn3Ge} in order to modulate the electron density, a significant incre…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/5]:
- EDmamba: Rethinking Efficient Event Denoising with Spatiotemporal Decoupled SSMs
Ciyu Ruan, Zihang Gong, Ruishan Guo, Jingao Xu, Xinlei Chen

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/11]:
- AVEC: Bootstrapping Privacy for Local LLMs
Madhava Gaikwad
https://

Smallness of neutrino masses and leptogenesis in 331 composite Higgs model
Roman Nevzorov
https://arxiv.org/abs/2509.13245 https://arxiv.org/pdf/2509.13245…

Smallness of neutrino masses and leptogenesis in 331 composite Higgs model
We consider 331 composite Higgs model (CHM3) in which the Lagrangian of the strongly coupled sector is invariant with respect to global SU(3)_C \times SU(3)\times U(1)_6 symmetry that can originate from SU(6) subgroup of E_6 and contains the gauge group of the standard model (SM) as a subgroup. The breakdown of the approximate SU(3)\times U(1)_6 symmetry down to SU(2)_W\times U(1)_Y subgroup around the scale f\sim 10 TeV results in a set of pseudo--Nambu--Goldstone bosons (pNGBs) that, in parti…

Self-intersection of the Torelli map
Lycka Drakengren
https://arxiv.org/abs/2509.12449 https://arxiv.org/pdf/2509.12449

Self-intersection of the Torelli map
The Torelli map $t\colon \mathcal{M}^{ct}_g \to \mathcal{A}_g$ is far from an immersion for $g\geq 3$: the self-fiber product of the Torelli map for $g\geq 3$ has several components with nontrivial intersections. We give a stratification of the self-fiber product for arbitrary genus and describe how components in the fiber product intersect. In genus $4$, the Torelli fiber product is nonreduced, which we prove by analyzing the expansion of the period map near a nodal curve. We use the geometry …

The Few-shot Dilemma: Over-prompting Large Language Models
Yongjian Tang, Doruk Tuncel, Christian Koerner, Thomas Runkler
https://arxiv.org/abs/2509.13196 https://

The Few-shot Dilemma: Over-prompting Large Language Models
Over-prompting, a phenomenon where excessive examples in prompts lead to diminished performance in Large Language Models (LLMs), challenges the conventional wisdom about in-context few-shot learning. To investigate this few-shot dilemma, we outline a prompting framework that leverages three standard few-shot selection methods - random sampling, semantic embedding, and TF-IDF vectors - and evaluate these methods across multiple LLMs, including GPT-4o, GPT-3.5-turbo, DeepSeek-V3, Gemma-3, LLaMA-3…

Edge-coloring $K_{n, n}$ with no 2-colored $C_{2k}$
Deepak Bal, Patrick Bennett
https://arxiv.org/abs/2507.13329 https://arxiv.org/pd…

Edge-coloring $K_{n, n}$ with no 2-colored $C_{2k}$
The generalized Ramsey number $r(G, H, q)$ is the minimum number of colors needed to color the edges of $G$ such that every isomorphic copy of $H$ has at least $q$ colors. In this note, we improve the upper and lower bounds on $r(K_{n, n}, C_{2k}, 3)$. Our upper bound answers a question of Lane and Morrison. For $k=3$ we obtain the asymptotically sharp estimate $r(K_{n, n}, C_6, 3) = \frac{7}{20} n + o(n)$.

Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/6]:
- Physics-informed neural network solves minimal surfaces in curved spacetime
Koji Hashimoto, Koichi Kyo, Masaki Murata, Gakuto Ogiwara, Norihiro Tanahashi

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/4]:
- ALL-PET: A Low-resource and Low-shot PET Foundation Model in Projection Domain
Bin Huang, Kang Chen, Bingxuan Li, Huafeng Liu, Qiegen Liu

Cryogenic spin 3/2 nuclear quadrupole resonance: Spin relaxation and electric field gradient via Rabi frequency goniometry
Ritik R. Modi (Department of Physics and Astronomy, George Mason University, Fairfax, VA, USA), Karen L. Sauer (Department of Physics and Astronomy, George Mason University, Fairfax, VA, USA, Quantum Science and Engineering Center, George Mason University, Fairfax, VA, USA)

Cryogenic spin 3/2 nuclear quadrupole resonance: Spin relaxation and electric field gradient via Rabi frequency goniometry
A straightforward way to determine the electric field gradient $-$ principal axes frame (EFG-PAF) on single crystal samples with spin 3/2 nuclei is demonstrated. Nuclear quadrupole resonance (NQR) spectroscopy is used to determine the Rabi frequency for $^{35}$Cl in a single crystal of potassium chlorate (KClO$_3$) by comparing the NQR signal for powder and single crystal samples. By exploiting the geometrical dependence of the Rabi frequency with respect to the excitation direction, EFG-PAF is…

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/7]:
- Understanding Prompt Management in GitHub Repositories: A Call for Best Practices
Hao Li, Hicham Masri, Filipe R. Cogo, Abdul Ali Bangash, Bram Adams, Ahmed E. Hassan

Triangulating quantum gravity in AdS$_3$
Thomas Hartman
https://arxiv.org/abs/2507.12696 https://arxiv.org/pdf/2507.12696

Triangulating quantum gravity in AdS$_3$
The path integral of pure 3D gravity with negative cosmological constant is formulated on a finite region of spacetime $M$, with boundary conditions that fix geodesic lengths or dihedral angles on $\partial M$. In the dual CFT, this quasi-local amplitude calculates corrections to the Gaussian ensemble of OPE coefficients for black hole states. By triangulating $M$ with generalized tetrahedra, we develop a general method to construct semiclassical geometries and to calculate the exact gravitatio…

Planar Tur\'an number of quasi-double stars
Huiqing Liu, Tian Xie, Qin Zhao
https://arxiv.org/abs/2507.11860 https://arxiv.org/pd…

Planar Turán number of quasi-double stars
Given a graph H, we call a graph $\textit{H-free}$ if it does not contain H as a subgraph. The planar Turán number of a graph H, denoted by $ex_{\mathcal{P}}(n, H)$, is the maximum number of edges in a planar H-free graph on n vertices. A (h,k)-quasi-double star $W_{h,k}$, obtained from a path $P_3=v_1v_2v_3$ by adding h leaves and k leaves to the vertices $v_1$ and $v_3$, respectively, is a subclass of caterpillars. In this paper, we study $ex_{\mathcal{P}}(n,W_{h,k})$ for all $1\le h\le 2\le…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/5]:
- Uncertainty Quantification for Motor Imagery BCI -- Machine Learning vs. Deep Learning
Joris Suurmeijer, Ivo Pascal de Jong, Matias Valdenegro-Toro, Andreea Ioana Sburlea

TrajSV: A Trajectory-based Model for Sports Video Representations and Applications
Zheng Wang, Shihao Xu, Wei Shi
https://arxiv.org/abs/2508.11569 https://…

TrajSV: A Trajectory-based Model for Sports Video Representations and Applications
Sports analytics has received significant attention from both academia and industry in recent years. Despite the growing interest and efforts in this field, several issues remain unresolved, including (1) data unavailability, (2) lack of an effective trajectory-based framework, and (3) requirement for sufficient supervision labels. In this paper, we present TrajSV, a trajectory-based framework that addresses various issues in existing studies. TrajSV comprises three components: data preprocessi…

Adapting and Evaluating Multimodal Large Language Models for Adolescent Idiopathic Scoliosis Self-Management: A Divide and Conquer Framework
Zhaolong Wu, Pu Luo, Jason Pui Yin Cheung, Teng Zhang
https://arxiv.org/abs/2509.11645

Adapting and Evaluating Multimodal Large Language Models for Adolescent Idiopathic Scoliosis Self-Management: A Divide and Conquer Framework
This study presents the first comprehensive evaluation of Multimodal Large Language Models (MLLMs) for Adolescent Idiopathic Scoliosis (AIS) self-management. We constructed a database of approximately 3,000 anteroposterior X-rays with diagnostic texts and evaluated five MLLMs through a `Divide and Conquer' framework consisting of a visual question-answering task, a domain knowledge assessment task, and a patient education counseling assessment task. Our investigation revealed limitations of MLL…

Preferential site ordering alters the magnetic structure of Sm$_3$Ru$_4$Sn$_{13-x}$Ge$_x$ ($x = 0$-2)
Jacob W. Fritsky, Hui-Fei Zhai, Yifeng Zhao, Aryan Rauniyar, Antia S. Botana, Jason F. Khoury
https://arxiv.org/abs/2507.13243

Preferential site ordering alters the magnetic structure of Sm$_3$Ru$_4$Sn$_{13-x}$Ge$_x$ ($x = 0$-2)
An important aspect of materials research is the ability to tune different physical properties through controlled alloying. The Ln$_3$M$_4$X$_{13}$ (Ln = Lanthanide, M = Transition Metal, X = Tetrel) filled skutterudite family is of interest due to the tunability of its constituent components and their effects on physical properties, such as superconductivity and complex magnetism. In this work, Sm$_3$Ru$_4$Sn$_{13-x}$Ge$_x$ (x = 0 -- 2) was synthesized via excess Sn-flux and characterized usin…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/4]:
- Soft Reasoning: Navigating Solution Spaces in Large Language Models through Controlled Embedding ...
Qinglin Zhu, Runcong Zhao, Hanqi Yan, Yulan He, Yudong Chen, Lin Gui

Multicolor Erd\H{o}s--Rogers Functions
Hong Liu, Haoran Luo, Minghui Ouyang
https://arxiv.org/abs/2509.12044 https://arxiv.org/pdf/2509.12044

Multicolor Erdős--Rogers Functions
In this paper, we study a multicolor variant of Erdős--Rogers functions. Let $f_{α_s; K_{i_1}, \cdots, K_{i_t}}(n)$ be the largest integer $m$ such that there is always an induced $K_s$-free subgraph of size $m$ in every $n$-vertex graph with a $t$-edge-coloring in which the edges with the $j$-th color induce no copy of $K_{i_j}$. We establish both upper and lower bounds for this multicolor version. Specifically, we show that $f_{α_5; K_3, K_3}(n) = n^{1/2+o(1)}$, $Ω(n^{5/11}) \le f_{α_5; …

Accelerating RF Power Amplifier Design via Intelligent Sampling and ML-Based Parameter Tuning
Abhishek Sriram, Neal Tuffy
https://arxiv.org/abs/2507.11928 …

Accelerating RF Power Amplifier Design via Intelligent Sampling and ML-Based Parameter Tuning
This paper presents a machine learning-accelerated optimization framework for RF power amplifier design that reduces simulation requirements by 65% while maintaining $\pm0.3$ to $\pm0.4$ dBm accuracy. The proposed method combines MaxMin Latin Hypercube Sampling with CatBoost gradient boosting to intelligently explore multidimensional parameter spaces. Instead of exhaustively simulating all parameter combinations to achieve target P2dB compression specifications, our approach strategically selec…

HoloGarment: 360{\deg} Novel View Synthesis of In-the-Wild Garments
Johanna Karras, Yingwei Li, Yasamin Jafarian, Ira Kemelmacher-Shlizerman
https://arxiv.org/abs/2509.12187 htt…

HoloGarment: 360° Novel View Synthesis of In-the-Wild Garments
Novel view synthesis (NVS) of in-the-wild garments is a challenging task due significant occlusions, complex human poses, and cloth deformations. Prior methods rely on synthetic 3D training data consisting of mostly unoccluded and static objects, leading to poor generalization on real-world clothing. In this paper, we propose HoloGarment (Hologram-Garment), a method that takes 1-3 images or a continuous video of a person wearing a garment and generates 360° novel views of the garment in a cano…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/6]:
- Fully Data-driven but Interpretable Human Behavioural Modelling with Differentiable Discrete Choi...
Fumiyasu Makinoshima, Tatsuya Mitomi, Fumiya Makihara, Eigo Segawa

Thermodynamic stabilization and electronic effects of oxygen vacancies at BiFeO$_3$ neutral ferroelectric domain walls
Guo-Dong Zhao, Ismaila Dabo, Long-Qing Chen
https://arxiv.org/abs/2507.11863

Thermodynamic stabilization and electronic effects of oxygen vacancies at BiFeO$_3$ neutral ferroelectric domain walls
Enhanced conductivity at ferroelectric domain walls in BiFeO$_3$ has been widely observed, yet the microscopic origins of this effect, including electronic contributions from domain-wall defects, are incompletely understood at the atomistic level. Here, we carry out first-principles simulations to quantify the thermodynamic stability and electronic impact of oxygen vacancies at charge-neutral 71$^\circ$, 109$^\circ$, and 180$^\circ$ domain walls of BiFeO$_3$. We find that vacancies are energeti…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/4]:
- ICR: Iterative Clarification and Rewriting for Conversational Search
Zhiyu Cao, Peifeng Li, Qiaoming Zhu

Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue
https://arxiv.org/abs/2506.14748

Stability with minuscule structure for chromatic thresholds
The chromatic threshold $δ_χ(H)$ of a graph $H$ is the infimum of $d>0$ such that the chromatic number of every $n$-vertex $H$-free graph with minimum degree at least $d n$ is bounded by a constant depending only on $H$ and $d$. Allen, B{ö}ttcher, Griffiths, Kohayakawa, and Morris determined the chromatic threshold for every $H$; in particular, they showed that if $χ(H)=r\ge 3$, then $δ_χ(H) \in\{\frac{r-3}{r-2},~\frac{2 r-5}{2 r-3},~\frac{r-2}{r-1}\}$. While the chromatic thresholds have…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/4]:
- GIE-Bench: Towards Grounded Evaluation for Text-Guided Image Editing
Yusu Qian, Jiasen Lu, Tsu-Jui Fu, Xinze Wang, Chen Chen, Yinfei Yang, Wenze Hu, Zhe Gan

Graph Neural Diffusion via Generalized Opinion Dynamics
Asela Hevapathige, Asiri Wijesinghe, Ahad N. Zehmakan
https://arxiv.org/abs/2508.11249 https://arxi…

Graph Neural Diffusion via Generalized Opinion Dynamics
There has been a growing interest in developing diffusion-based Graph Neural Networks (GNNs), building on the connections between message passing mechanisms in GNNs and physical diffusion processes. However, existing methods suffer from three critical limitations: (1) they rely on homogeneous diffusion with static dynamics, limiting adaptability to diverse graph structures; (2) their depth is constrained by computational overhead and diminishing interpretability; and (3) theoretical understandi…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/5]:
- Towards Geo-Culturally Grounded LLM Generations
Piyawat Lertvittayakumjorn, David Kinney, Vinodkumar Prabhakaran, Donald Martin Jr., Sunipa Dev

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- Mitigating Hallucinations in Large Vision-Language Models by Self-Injecting Hallucinations
Yifan Lu, Ziqi Zhang, Chunfeng Yuan, Jun Gao, Congxuan Zhang, Xiaojuan Qi, Bing Li, Weiming Hu

The column number for 3-modular matrices
Joseph Paat, Zach Walsh, Luze Xu
https://arxiv.org/abs/2509.13463 https://arxiv.org/pdf/2509.13463

The column number for 3-modular matrices
An integer-valued matrix $\mathbf{A}$ is $Δ$-modular if each $\text{rank}(\mathbf{A}) \times \text{rank}(\mathbf{A})$ submatrix has determinant at most $Δ$ in absolute value. The column number problem is to determine the maximum number of pairwise non-parallel columns of a rank-$r$, $Δ$-modular matrix. Exact values for the column number are only known for $r \le 2$ or $Δ\le 2$. We prove that if $r$ is sufficiently large, then the maximum number of pairwise non-parallel columns of a rank-$r$…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/4]:
- What Demands Attention in Urban Street Scenes? From Scene Understanding towards Road Safety: A Su...
Yaoqi Huang, Julie Stephany Berrio, Mao Shan, Stewart Worrall

Explicit Reasoning Makes Better Judges: A Systematic Study on Accuracy, Efficiency, and Robustness
Pratik Jayarao, Himanshu Gupta, Neeraj Varshney, Chaitanya Dwivedi
https://arxiv.org/abs/2509.13332

Explicit Reasoning Makes Better Judges: A Systematic Study on Accuracy, Efficiency, and Robustness
As Large Language Models (LLMs) are increasingly adopted as automated judges in benchmarking and reward modeling, ensuring their reliability, efficiency, and robustness has become critical. In this work, we present a systematic comparison of "thinking" and "non-thinking" LLMs in the LLM-as-a-judge paradigm using open-source Qwen 3 models of relatively small sizes (0.6B, 1.7B, and 4B parameters). We evaluate both accuracy and computational efficiency (FLOPs) on RewardBench tasks, and further exa…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- DSRAG: A Domain-Specific Retrieval Framework Based on Document-derived Multimodal Knowledge Graph
Mengzheng Yang, Yanfei Ren, David Osei Opoku, Ruochang Li, Peng Ren, Chunxiao Xing

On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3
Abdulaziz Mutlaq Alotaibi, Abdulaziz M. Alanazi, Taher S. Hassan, Akbar Ali
https://arxiv.org/abs/2509.12294

On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3
For a graph $G$ with edge set $E$, let $d(u)$ denote the degree of a vertex $u$ in $G$. The diminished Sombor (DSO) index of $G$ is defined as $DSO(G)=\sum_{uv\in E}\sqrt{(d(u))^2+(d(v))^2}(d(u)+d(v))^{-1}$. The cyclomatic number of a graph is the smallest number of edges whose removal makes the graph acyclic. A connected graph of maximum degree at most $4$ is known as a molecular graph. The primary motivation of the present study comes from a conjecture concerning the minimum DSO index of fixe…

Population Estimation using Deep Learning over Gandhinagar Urban Area
Jai Singla, Peal Jotania, Keivalya Pandya
https://arxiv.org/abs/2509.12926 https://ar…

Population Estimation using Deep Learning over Gandhinagar Urban Area
Population estimation is crucial for various applications, from resource allocation to urban planning. Traditional methods such as surveys and censuses are expensive, time-consuming and also heavily dependent on human resources, requiring significant manpower for data collection and processing. In this study a deep learning solution is proposed to estimate population using high resolution (0.3 m) satellite imagery, Digital Elevation Models (DEM) of 0.5m resolution and vector boundaries. Propose…

CATVis: Context-Aware Thought Visualization
Tariq Mehmood, Hamza Ahmad, Muhammad Haroon Shakeel, Murtaza Taj
https://arxiv.org/abs/2507.11522 https://

CATVis: Context-Aware Thought Visualization
EEG-based brain-computer interfaces (BCIs) have shown promise in various applications, such as motor imagery and cognitive state monitoring. However, decoding visual representations from EEG signals remains a significant challenge due to their complex and noisy nature. We thus propose a novel 5-stage framework for decoding visual representations from EEG signals: (1) an EEG encoder for concept classification, (2) cross-modal alignment of EEG and text embeddings in CLIP feature space, (3) captio…

HalluDetect: Detecting, Mitigating, and Benchmarking Hallucinations in Conversational Systems
Spandan Anaokar, Shrey Ganatra, Harshvivek Kashid, Swapnil Bhattacharyya, Shruti Nair, Reshma Sekhar, Siddharth Manohar, Rahul Hemrajani, Pushpak Bhattacharyya
https://arxiv.org/abs/2509.11619

HalluDetect: Detecting, Mitigating, and Benchmarking Hallucinations in Conversational Systems
Large Language Models (LLMs) are widely used in industry but remain prone to hallucinations, limiting their reliability in critical applications. This work addresses hallucination reduction in consumer grievance chatbots built using LLaMA 3.1 8B Instruct, a compact model frequently used in industry. We develop HalluDetect, an LLM-based hallucination detection system that achieves an F1 score of 69% outperforming baseline detectors by 25.44%. Benchmarking five chatbot architectures, we find that…

Co-Alignment: Rethinking Alignment as Bidirectional Human-AI Cognitive Adaptation
Yubo Li, Weiyi Song
https://arxiv.org/abs/2509.12179 https://arxiv.org/pd…

Co-Alignment: Rethinking Alignment as Bidirectional Human-AI Cognitive Adaptation
Current AI alignment through RLHF follows a single directional paradigm that AI conforms to human preferences while treating human cognition as fixed. We propose a shift to co-alignment through Bidirectional Cognitive Alignment (BiCA), where humans and AI mutually adapt. BiCA uses learnable protocols, representation mapping, and KL-budget constraints for controlled co-evolution. In collaborative navigation, BiCA achieved 85.5% success versus 70.3% baseline, with 230% better mutual adaptation an…

Falconer's problem for dot product on paraboloids
Chun-Kai Tseng
https://arxiv.org/abs/2509.11710 https://arxiv.org/pdf/2509.11710

Falconer's problem for dot product on paraboloids
We establish dimensional thresholds for dot product sets associated with compact subsets of translated paraboloids. Specifically, we prove that when the dimension of such a subset exceeds $ \frac{5}{4} = \frac{3}{2} - \frac{1}{4} $ in $\mathbb{R}^3$, and $ \frac{d}{2} - \frac{1}{4} - \frac{1}{8d - 4} $ in $\mathbb{R}^d$ for $d\geq 4$, its dot product set has positive Lebesgue measure. This result demonstrates that if a compact set in $ \mathbb{R}^d $ exhibits a paraboloidal structure, then th…

Probing for Arithmetic Errors in Language Models
Yucheng Sun, Alessandro Stolfo, Mrinmaya Sachan
https://arxiv.org/abs/2507.12379 https://

Probing for Arithmetic Errors in Language Models
We investigate whether internal activations in language models can be used to detect arithmetic errors. Starting with a controlled setting of 3-digit addition, we show that simple probes can accurately decode both the model's predicted output and the correct answer from hidden states, regardless of whether the model's output is correct. Building on this, we train lightweight error detectors that predict model correctness with over 90% accuracy. We then extend our analysis to structured chain-of…

JustEva: A Toolkit to Evaluate LLM Fairness in Legal Knowledge Inference
Zongyue Xue, Siyuan Zheng, Shaochun Wang, Yiran Hu, Shenran Wang, Yuxin Yao, Haitao Li, Qingyao Ai, Yiqun Liu, Yun Liu, Weixing Shen
https://arxiv.org/abs/2509.12104

JustEva: A Toolkit to Evaluate LLM Fairness in Legal Knowledge Inference
The integration of Large Language Models (LLMs) into legal practice raises pressing concerns about judicial fairness, particularly due to the nature of their "black-box" processes. This study introduces JustEva, a comprehensive, open-source evaluation toolkit designed to measure LLM fairness in legal tasks. JustEva features several advantages: (1) a structured label system covering 65 extra-legal factors; (2) three core fairness metrics - inconsistency, bias, and imbalanced inaccuracy; (3) robu…

Three-Neighbour Bootstrap Percolation in Thin Three-Dimensional Grids
Will Dolphin, Peter J. Dukes
https://arxiv.org/abs/2509.13589 https://arxiv.org/pdf/2…

Three-Neighbour Bootstrap Percolation in Thin Three-Dimensional Grids
We improve the status of the problem of determining minimum-sized percolating sets in $a \times b \times c$ grids under the $3$-neighbour process. Using several new constructions, we show that optimal percolating sets exist whenever $\min(a,b,c) \ge 7$. As an important step toward this, we also show that all grids with $\min(a,b,c) \ge 4$ have a percolating set whose size exactly achieves the lower bound $(ab+ac+bc)/3$ whenever this value is an integer.

Is 'Hope' a person or an idea? A pilot benchmark for NER: comparing traditional NLP tools and large language models on ambiguous entities
Payam Latifi
https://arxiv.org/abs/2509.12098

Is 'Hope' a person or an idea? A pilot benchmark for NER: comparing traditional NLP tools and large language models on ambiguous entities
This pilot study presents a small-scale but carefully annotated benchmark of Named Entity Recognition (NER) performance across six systems: three non-LLM NLP tools (NLTK, spaCy, Stanza) and three general-purpose large language models (LLMs: Gemini-1.5-flash, DeepSeek-V3, Qwen-3-4B). The dataset contains 119 tokens covering five entity types (PERSON, LOCATION, ORGANIZATION, DATE, TIME). We evaluated each system's output against the manually annotated gold standard dataset using F1-score. The res…

FormGym: Doing Paperwork with Agents
Matthew Toles, Rattandeep Singh, Isaac Song Zhou Yu
https://arxiv.org/abs/2506.14079 https://arx…

FormGym: Doing Paperwork with Agents
Completing paperwork is a challenging and time-consuming problem. Form filling is especially challenging in the pure-image domain without access to OCR, typeset PDF text, or a DOM. For computer agents, it requires multiple abilities, including multi-modal understanding, information retrieval, and tool-use. We present a novel form-filling benchmark consisting of 432 fields spread across 55 documents and 3 tasks, requiring knowledge of 236 features per user. We find that baseline VLAs achieve les…

Proof of a conjecture on eigenvalues of transposition graph
Cheng Yeaw Ku, Leyou Xu
https://arxiv.org/abs/2506.14419 https://arxiv.or…

Proof of a conjecture on eigenvalues of transposition graph
The transposition graph $Cay(S_n,T_n)$ is the Cayley graph on the symmetric group $S_n$ generated by the set $T_n$ of all transpositions. In this paper, we show that each integer in the interval $\left[-{\lfloor(2n+1)/3 \rfloor\choose 2}, {\lfloor(2n+1)/3 \rfloor\choose 2}\right]$ is an eigenvalue of $Cay(S_n,T_n)$. This proves a recent conjecture by Kravchuk \cite{Kravchuk}.

Findings of MEGA: Maths Explanation with LLMs using the Socratic Method for Active Learning
Tosin Adewumi, Foteini Simistira Liwicki, Marcus Liwicki, Viktor Gardelli, Lama Alkhaled, Hamam Mokayed
https://arxiv.org/abs/2507.12079

Findings of MEGA: Maths Explanation with LLMs using the Socratic Method for Active Learning
This paper presents an intervention study on the effects of the combined methods of (1) the Socratic method, (2) Chain of Thought (CoT) reasoning, (3) simplified gamification and (4) formative feedback on university students' Maths learning driven by large language models (LLMs). We call our approach Mathematics Explanations through Games by AI LLMs (MEGA). Some students struggle with Maths and as a result avoid Math-related discipline or subjects despite the importance of Maths across many fie…

Evaluating Explainability: A Framework for Systematic Assessment and Reporting of Explainable AI Features
Miguel A. Lago, Ghada Zamzmi, Brandon Eich, Jana G. Delfino
https://arxiv.org/abs/2506.13917

Evaluating Explainability: A Framework for Systematic Assessment and Reporting of Explainable AI Features
Explainability features are intended to provide insight into the internal mechanisms of an AI device, but there is a lack of evaluation techniques for assessing the quality of provided explanations. We propose a framework to assess and report explainable AI features. Our evaluation framework for AI explainability is based on four criteria: 1) Consistency quantifies the variability of explanations to similar inputs, 2) Plausibility estimates how close the explanation is to the ground truth, 3) F…

EXAONE 4.0: Unified Large Language Models Integrating Non-reasoning and Reasoning Modes
LG AI Research, :, Kyunghoon Bae, Eunbi Choi, Kibong Choi, Stanley Jungkyu Choi, Yemuk Choi, Kyubeen Han, Seokhee Hong, Junwon Hwang, Taewan Hwang, Joonwon Jang, Hyojin Jeon, Kijeong Jeon, Gerrard Jeongwon Jo, Hyunjik Jo, Jiyeon Jung, Euisoon Kim, Hyosang Kim, Jihoon Kim, Joonkee Kim, Seonghwan Kim, Soyeon Kim, Sunkyoung Kim, Yireun Kim, Yongil Kim, Youchul Kim, Edward Hwayoung Lee, Gwangho Lee, Ha…

EXAONE 4.0: Unified Large Language Models Integrating Non-reasoning and Reasoning Modes
This technical report introduces EXAONE 4.0, which integrates a Non-reasoning mode and a Reasoning mode to achieve both the excellent usability of EXAONE 3.5 and the advanced reasoning abilities of EXAONE Deep. To pave the way for the agentic AI era, EXAONE 4.0 incorporates essential features such as agentic tool use, and its multilingual capabilities are extended to support Spanish in addition to English and Korean. The EXAONE 4.0 model series consists of two sizes: a mid-size 32B model optimi…

Sharp lower bounds and extremal graphs for the generalized $k$-independence number
Jing Huang, Jiaxin Tang
https://arxiv.org/abs/2509.12563 https://arxiv.o…

Sharp lower bounds and extremal graphs for the generalized $k$-independence number
A vertex set $S$ is a generalized $k$-independent set if the induced subgraph $G[S]$ contains no tree on $k$ vertices. The generalized $k$-independence number $α_k(G)$ is the maximum size of such a set. For a tree $T$ with $n$ vertices, Bock et al. [J. Graph Theory 103 (2023) 661-673] and Li et al. [Taiwanese J. Math. 27 (2023) 647-683] independently showed that $α_3(G)\geq \frac{2}{3}n$ and identified the extremal trees that attain this lower bound. Subsequently, Li and Zhou [Appl. Math. Com…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- Compression Hacking: A Supplementary Perspective on Informatics Properties of Language Models fro...
Zang, Ning, Wei, Dou, Zhang, Mo, Li, Gui, Zhang, Huang

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- Fine-grained Stateful Knowledge Exploration: Effective and Efficient Graph Retrieval with Large L...
Dehao Tao, Congqi Wang, Feng Huang, Junhao Chen, Yongfeng Huang, Minghu Jiang

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- Large Language Models Often Know When They Are Being Evaluated
Joe Needham, Giles Edkins, Govind Pimpale, Henning Bartsch, Marius Hobbhahn

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- RAGGED: Towards Informed Design of Scalable and Stable RAG Systems
Jennifer Hsia, Afreen Shaikh, Zhiruo Wang, Graham Neubig

Multi-Model Synthetic Training for Mission-Critical Small Language Models
Nolan Platt, Pragyansmita Nayak
https://arxiv.org/abs/2509.13047 https://arxiv.or…

Multi-Model Synthetic Training for Mission-Critical Small Language Models
Large Language Models (LLMs) have demonstrated remarkable capabilities across many domains, yet their appli- cation to specialized fields remains constrained by the scarcity and complexity of domain-specific training data. We present a novel approach that achieves a 261x cost reduction for maritime intelligence by using LLMs as one-time teachers rather than using them directly for inference. Our method transforms 3.2 billion Automatic Identification System (AIS) vessel tracking records into 21,…

HumorPlanSearch: Structured Planning and HuCoT for Contextual AI Humor
Shivam Dubey
https://arxiv.org/abs/2508.11429 https://arxiv.org/pdf/2508.11429

HumorPlanSearch: Structured Planning and HuCoT for Contextual AI Humor
Automated humor generation with Large Language Models (LLMs) often yields jokes that feel generic, repetitive, or tone-deaf because humor is deeply situated and hinges on the listener's cultural background, mindset, and immediate context. We introduce HumorPlanSearch, a modular pipeline that explicitly models context through: (1) Plan-Search for diverse, topic-tailored strategies; (2) Humor Chain-of-Thought (HuCoT) templates capturing cultural and stylistic reasoning; (3) a Knowledge Graph to r…

Overcoming Low-Resource Barriers in Tulu: Neural Models and Corpus Creation for OffensiveLanguage Identification
Anusha M D, Deepthi Vikram, Bharathi Raja Chakravarthi, Parameshwar R Hegde
https://arxiv.org/abs/2508.11166

Overcoming Low-Resource Barriers in Tulu: Neural Models and Corpus Creation for OffensiveLanguage Identification
Tulu, a low-resource Dravidian language predominantly spoken in southern India, has limited computational resources despite its growing digital presence. This study presents the first benchmark dataset for Offensive Language Identification (OLI) in code-mixed Tulu social media content, collected from YouTube comments across various domains. The dataset, annotated with high inter-annotator agreement (Krippendorff's alpha = 0.984), includes 3,845 comments categorized into four classes: Not Offens…

Overview of the Sensemaking Task at the ELOQUENT 2025 Lab: LLMs as Teachers, Students and Evaluators
Pavel \v{S}indel\'a\v{r}, Ond\v{r}ej Bojar
https://arxiv.org/abs/2507.12143

Overview of the Sensemaking Task at the ELOQUENT 2025 Lab: LLMs as Teachers, Students and Evaluators
ELOQUENT is a set of shared tasks that aims to create easily testable high-level criteria for evaluating generative language models. Sensemaking is one such shared task. In Sensemaking, we try to assess how well generative models ``make sense out of a given text'' in three steps inspired by exams in a classroom setting: (1) Teacher systems should prepare a set of questions, (2) Student systems should answer these questions, and (3) Evaluator systems should score these answers, all adhering ra…