Tootfinder

Structure-Aware Spectral Sparsification via Uniform Edge Sampling
Kaiwen He, Petros Drineas, Rajiv Khanna
https://arxiv.org/abs/2510.12669 https://arxiv.or…

Structure-Aware Spectral Sparsification via Uniform Edge Sampling
Spectral clustering is a fundamental method for graph partitioning, but its reliance on eigenvector computation limits scalability to massive graphs. Classical sparsification methods preserve spectral properties by sampling edges proportionally to their effective resistances, but require expensive preprocessing to estimate these resistances. We study whether uniform edge sampling-a simple, structure-agnostic strategy-can suffice for spectral clustering. Our main result shows that for graphs adm…

Bridging Structure and Activity in Nanocatalysts via Machine Learning and Global Structure Representations
Sofia Zinzani, Francesca Baletto, Kevin Rossi
https://arxiv.org/abs/2509.10985

Bridging Structure and Activity in Nanocatalysts via Machine Learning and Global Structure Representations
Establishing a mapping between nanocatalysts structure and their catalytic properties is essential for efficient design. To this end, we demonstrate the accuracy of a general machine learning framework on a representative and challenging application: predicting the mass activity of Pt nanoparticles for the electrochemical oxygen reduction reaction, estimated via a microkinetic model. Accurate models are obtained when leveraging either a nanocatalyst's structure representation accessible at the …

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Lukas Homeier, Andrea Pizzi, Hongzheng Zhao, Jad C. Halimeh, Fabian Grusdt, Ana Maria Rey
https://arxiv.org/abs/2510.12800

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Universal aspects of thermalization in interacting many-body systems are typically challenging to derive microscopically, yet provide a powerful framework for understanding emergent phenomena. Here, we numerically study the mean-field dynamics of a $(2+1)$D spin system with thousands of spins and show that experimentally-feasible two-body Ising interactions can stabilize a prethermal $\mathbb{Z}_2$ lattice gauge structure with dynamical matter, manifested by a gauge-invariant plateau with expon…

PRISM: Enhancing Protein Inverse Folding through Fine-Grained Retrieval on Structure-Sequence Multimodal Representations
Sazan Mahbub, Souvik Kundu, Eric P. Xing
https://arxiv.org/abs/2510.11750

PRISM: Enhancing Protein Inverse Folding through Fine-Grained Retrieval on Structure-Sequence Multimodal Representations
Designing protein sequences that fold into a target three-dimensional structure, known as the inverse folding problem, is central to protein engineering but remains challenging due to the vast sequence space and the importance of local structural constraints. Existing deep learning approaches achieve strong recovery rates, yet they lack explicit mechanisms to reuse fine-grained structure-sequence patterns that are conserved across natural proteins. We present PRISM, a multimodal retrieval-augme…

Dense Molecular Ring-like structure in gaseous CO depletion region G34.74-0.12
Shuting Lin, Siyi Feng, Fengwei Xu, Ke Wang, Patricio Sanhueza, Junzhi Wang, Zhi-Yu Zhang, Yichen Zhang, Kaho Morii, Hauyu Baobab Liu, Sheng-Yuan Liu, Lile Wang, Giovanni Sabatini, Hui Li, Willem Baan, Zhi-Kai Zhu, Shanghuo Li
https://arxiv.org/abs/2509.11475

Dense Molecular Ring-like structure in gaseous CO depletion region G34.74-0.12
We report the discovery of a dense molecular ring-like structure in a dense (10$^5$ cm$^{-3}$), cold (pc-scale CO depletion at a factor of 5), and young (10$^4$ year) star-forming region G34.74-0.12, revealed by C$^{18}$O (2-1), HNC (1-0), and N$_2$H$^+$ (1-0) observations with the Atacama Large Millimeter/submillimeter Array (ALMA). The ring-like structure is redshifted with respect to the clump, spanning from $V_{\rm sys,lsr} + 0.9$ to $V_{\rm sys,lsr} + 2.9$ km s$^{-1}$, with a total mass of…

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
Jordan Hoffart, Matthias Maier, John N. Shadid, Ignacio Tomas
https://arxiv.org/abs/2510.11808

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
We develop a structure-preserving numerical discretization for the electrostatic Euler-Poisson equations with a constant magnetic field. The scheme preserves positivity of the density, positivity of the internal energy and a minimum principle of the specific entropy, as well as global properties, such as total energy balance. The scheme uses an operator splitting approach composed of two subsystems: the compressible Euler equations of gas dynamics and a source system. The source system couples …

KOO Method-based Consistent Clustering for Group-wise Linear Regression with Graph Structure
M. Ohishi, R. Oda
https://arxiv.org/abs/2509.11103 https://arx…

KOO Method-based Consistent Clustering for Group-wise Linear Regression with Graph Structure
The kick-one-out (KOO) method is a variable selection method based on a model selection criterion. The method is very simple, and yet it has consistency in variable selection under a high-dimensional asymptotic framework with a specific model selection criterion. This paper proposes the join-twotogether (JTT) method, which is a clustering method based on the KOO method for group-wise linear regression with graph structure. The JTT method formulates the clustering problem as an edge selection pr…

Structure-aware Propagation Generation with Large Language Models for Fake News Detection
Mengyang Chen, Lingwei Wei, Wei Zhou, Songlin Hu
https://arxiv.org/abs/2510.12125 https…

Structure-aware Propagation Generation with Large Language Models for Fake News Detection
The spread of fake news on social media poses a serious threat to public trust and societal stability. While propagation-based methods improve fake news detection by modeling how information spreads, they often suffer from incomplete propagation data. Recent work leverages large language models (LLMs) to generate synthetic propagation, but typically overlooks the structural patterns of real-world discussions. In this paper, we propose a novel structure-aware synthetic propagation enhanced detec…

The Two-Zone Temperature Distribution Model: Inferences on the Structure and Composition of Dusty Protoplanetary Disks
William Grimble, Joel Kastner, B. Sargent, Keivan Stassun
https://arxiv.org/abs/2510.12025

The Two-Zone Temperature Distribution Model: Inferences on the Structure and Composition of Dusty Protoplanetary Disks
In order to understand the mineralogy and structure of protoplanetary disks, it is important to analyze them from both an empirical spectrum-based perspective and a radiative transfer image-based perspective. In a prior paper, we set forth an empirical mineralogy mid-IR spectral model that conveyed spatial information and worked in tandem with a radiative transfer model, which formed the EaRTH Disk Model. In this article, we take the empirical portion of that model, the TZTD model, and refine i…

i was wondering why people keep migrating from netlify to grebedoc and then i looked at netlify's fee structure
what the actual fuck are they doing??
(the paid tier, for $9/month, only gives you ~3x as many credits, escalating the wtf level tenfold)

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Simplifying Optimal Transport through Schatten-$p$ Regularization
Tyler Maunu
https://arxiv.org/abs/2510.11910 https://arxiv.org/pdf/2510.11910

Simplifying Optimal Transport through Schatten-$p$ Regularization
We propose a new general framework for recovering low-rank structure in optimal transport using Schatten-$p$ norm regularization. Our approach extends existing methods that promote sparse and interpretable transport maps or plans, while providing a unified and principled family of convex programs that encourage low-dimensional structure. The convexity of our formulation enables direct theoretical analysis: we derive optimality conditions and prove recovery guarantees for low-rank couplings and …

Metropolitana VI - Up Above and Down Under ⬆️⬇️
城 VI - 上面和下面 ⬆️⬇️
📷 Pentax MX
🎞️ Ilford Pan 100
#filmphotography #Photography #blackandwhite

vibe main
yeet "vibez"
slay main() {
vibez.spill("Hello, World!")
}
https://simonwillison.net/2025/Sep/9/cursed/

Algebraic cycles of some Fano varieties with Hodge structure of level one
Pedro Montero, Iv\'an Rosas-Soto
https://arxiv.org/abs/2509.12186 https://arx…

Algebraic cycles of some Fano varieties with Hodge structure of level one
We study Chow groups and étale motivic cohomology groups of smooth complete intersections with Hodge structures of level one, classified by Deligne and Rapoport, with particular attention to fivefolds. We extend these results to an étale motivic context and recover an analogous finite-dimensionality in the sense of Kimura. We further analyse algebraic cycles on other smooth Fano manifolds with Hodge structures of level one and, as an application, we prove the integral Hodge conjecture for smo…

Combinatorial Structure in Nevanlinna Theory
Shuhei Katsuta
https://arxiv.org/abs/2509.11696 https://arxiv.org/pdf/2509.11696

Combinatorial Structure in Nevanlinna Theory
In "Meromorphic Functions and Analytic Curves", H. and F. J. Weyl identified an intriguing connection between holomorphic curves and their associated curves, which they referred to as the "peculiar relation". In this paper, we present a generalization of the Weyl peculiar relation and investigate a combinatorial structure underlying the Weyl--Ahlfors theory via standard Young tableaux. We also provide an alternative proof of the Second Main Theorem from the viewpoint of comparing the order func…

All that structure matches does not glitter
Maya M. Martirossyan, Thomas Egg, Philipp Hoellmer, George Karypis, Mark Transtrum, Adrian Roitberg, Mingjie Liu, Richard G. Hennig, Ellad B. Tadmor, Stefano Martiniani
https://arxiv.org/abs/2509.12178

All that structure matches does not glitter
Generative models for materials, especially inorganic crystals, hold potential to transform the theoretical prediction of novel compounds and structures. Advancement in this field depends critically on robust benchmarks and minimal, information-rich datasets that enable meaningful model evaluation. This paper critically examines common datasets and reported metrics for a crystal structure prediction task$\unicode{x2014}$generating the most likely structures given the chemical composition of a m…

from my link log —
Report ITU-R TF.2511-0 (10/2022): Content and structure of time signals to be disseminated by radiocommunication systems and various aspects of current and potential future reference time scales, including their impacts and applications in radiocommunication.
https://www.itu…

It’s late 2025 and Sitepoint is still advocating for the document outline algorithm:
https://www.sitepoint.com/headings-in-html-structure/
The algorithm was never implemented, removed from WHATWG HTML in 2022:

Mrs Losttourist just asked me "what's a Davy lamp?" and I was able to immediately explain it was a mining lamp consisting of a naked flame enclosed in a mesh structure so that it didn't explode, because I was taught that at school.
And now all I can think of is why the hell did they teach that to a London schoolkid in the 1980s?
#TOTP

The Influence of the Accretion Disc Structure on X-ray Spectral States in Symbiotic Binaries
Jes\'us A. Toal\'a, Diego A. Vasquez-Torres
https://arxiv.org/abs/2510.12654

The Influence of the Accretion Disc Structure on X-ray Spectral States in Symbiotic Binaries
Symbiotic stars are binary systems where a white dwarf (WD) accretes material from the wind of an evolved, late-type companion. X-ray-emitting symbiotic systems are classified into $α$, $β$, $δ$, and $β/δ$ types, attributed to distinct physical mechanisms such as thermonuclear burning, wind interactions, and accretion-driven boundary layers. We present synthetic X-ray spectra derived from hydrodynamics simulations using the PHANTOM code, coupled with radiative-transfer calculations from SK…

Triangle-Covered Graphs: Algorithms, Complexity, and Structure
Amirali Madani, Anil Maheshwari, Babak Miraftab, Pawe{\l} \.Zyli\'nski
https://arxiv.org/abs/2509.11448 https:…

Triangle-Covered Graphs: Algorithms, Complexity, and Structure
The widely studied edge modification problems ask how to minimally alter a graph to satisfy certain structural properties. In this paper, we introduce and study a new edge modification problem centered around transforming a given graph into a triangle-covered graph (one in which every vertex belongs to at least one triangle). We first present tight lower bounds on the number of edges in any connected triangle-covered graph of order $n$, and then we characterize all connected graphs that attain …

On cardinalities whose arithmetical properties determine the structure of solutions of the Yang--Baxter equation
Maria Ferrara, Marco Trombetti, Cindy Tsang
https://arxiv.org/abs/2509.11001

On cardinalities whose arithmetical properties determine the structure of solutions of the Yang--Baxter equation
The aim of this paper is to provide purely arithmetical characterisations of those natural numbers $n$ for which every non-degenerate set-theoretic solution of cardinality $n$ of the Yang--Baxter equation arising from a skew brace (sb-solution for short) satisfies some relevant properties, such as being a flip or being involutive. For example, it turns out that every sb-solution of cardinality $n$ has finite multipermutation level if and only if its prime factorisation $n= p_1^{α_1} \ldots p_t…

Modular Counting over 3-Element and Conservative Domains
Andrei A. Bulatov, Amirhossein Kazeminia
https://arxiv.org/abs/2510.09950 https://arxiv.org/pdf/25…

Modular Counting over 3-Element and Conservative Domains
In the Constraint Satisfaction Problem (CSP for short) the goal is to decide the existence of a homomorphism from a given relational structure $G$ to a given relational structure $H$. If the structure $H$ is fixed and $G$ is the only input, the problem is denoted $CSP(H)$. In its counting version, $\#CSP(H)$, the task is to find the number of such homomorphisms. The CSP and #CSP have been used to model a wide variety of combinatorial problems and have received a tremendous amount of attention f…

Non-linear structure formation with elastic interactions in the dark sector
Jose Beltr\'an Jim\'enez, David Figueruelo, David F. Mota, Hans A. Winther
https://arxiv.org/abs/2510.12551

Non-linear structure formation with elastic interactions in the dark sector
Cosmological models where dark matter interacts with dark energy via a pure momentum transfer and with no energy exchange (i.e. elastic) provide compelling scenarios for addressing the apparent lack of structures at low redshift. In particular, it has been shown that measurements of $S_8$ may show a statistically significant preference for the presence of elastic interactions. In this work we implement a specific realisation of these scenarios into an $N$-body code to explore the non-linear reg…

Reconstructing wind fields from gravitational data on gas giants: An investigation of mathematical methods
Tim-Jonas Peter (University of Siegen), Volker Michel (University of Siegen), Franz-Theo Suttmeier (University of Siegen), Johannes Wicht (Max Planck Institute for Solar System Research)
https://arxiv.org/abs/2509.11699

Reconstructing wind fields from gravitational data on gas giants: An investigation of mathematical methods
The atmospheric structure of gas giants, especially those of Jupiter and Saturn, has been an object of scientific studies for a long time. The measurement of the gravitational fields by the Juno mission for Jupiter and the Cassini mission for Saturn offered new possibilities to study the interior structure of these planets. Accordingly, the reconstruction of the wind velocities from gravitational data on gas giants has been the subject of many research papers over the years, yet the mathematica…

WSJ restructures its health, science, and education teams, with the health group moving back under the business team, after separating during the pandemic (Chris Roush/Talking Biz News)
https://talkingbiznews.com/media-news/wsj-restructures-…

WSJ restructures health, science and education, makes layoffs - Talking Biz News
Wall Street Journal editor in chief Emma Tucker sent out the following on Wednesday: Dear all, Today we are announcing changes to how we structure our health, science and education teams at The Wall Street Journal. The health group is returning to the business team after becoming a separate coverage area during the Covid-19 pandemic. Coverage of […]

Consistent truncation and generalized duality based on exceptional generalized cosets
Falk Hassler, Yuho Sakatani
https://arxiv.org/abs/2510.12799 https://…

Consistent truncation and generalized duality based on exceptional generalized cosets
We present a systematic framework for constructing consistent truncations of supergravity based on exceptional generalized cosets of the form $\GS \backslash G/H$. This approach generalizes the well-established generalized Scherk-Schwarz reductions on generalized parallelizable spaces $G/H$, which preserve maximal supersymmetry, to scenarios with reduced supersymmetry by introducing a non-trivial generalized structure group $\GS$. The double coset structure plays two distinct roles: for a given…

A Phase Field Formulation of Frictional Sliding Contact for 3D Fully Eulerian Fluid Structure Interactions
Biswajeet Rath, Rajeev K. Jaiman
https://arxiv.org/abs/2509.11611 http…

A Phase Field Formulation of Frictional Sliding Contact for 3D Fully Eulerian Fluid Structure Interactions
Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions, and nonlinear contact responses. Building on our previously developed fully Eulerian fluid structure formulation, we introduce a phase field based formulation for dynamic frictional contact in 3D. Contact detection is achieved via the overlap of diffuse inter…

MATStruct: High-Quality Medial Mesh Computation via Structure-aware Variational Optimization
Ningna Wang, Rui Xu, Yibo Yin, Zichun Zhong, Taku Komura, Wenping Wang, Xiaohu Guo
https://arxiv.org/abs/2510.10751

MATStruct: High-Quality Medial Mesh Computation via Structure-aware Variational Optimization
We propose a novel optimization framework for computing the medial axis transform that simultaneously preserves the medial structure and ensures high medial mesh quality. The medial structure, consisting of interconnected sheets, seams, and junctions, provides a natural volumetric decomposition of a 3D shape. Our method introduces a structure-aware, particle-based optimization pipeline guided by the restricted power diagram (RPD), which partitions the input volume into convex cells whose dual e…

An Introduction to Dust Evolution and Vertical Transport in Protoplanetary Disks
Marion Villenave
https://arxiv.org/abs/2509.10614 https://arxiv.org/pdf/25…

An Introduction to Dust Evolution and Vertical Transport in Protoplanetary Disks
This tutorial is an introduction to observational studies of dust transport and evolution in protoplanetary disks. Spatially resolved observations of disks at multiple wavelengths can allow to infer the distribution of various dust grains and gas species. Combining these observations offers a more complete understanding of dust structure and properties across different disk locations. For example, by better characterizing the disk vertical structure, observations help to constrain the level of …

Integrating Structure-Aware Attention and Knowledge Graphs in Explainable Recommendation Systems
Shuangquan Lyu, Ming Wang, Huajun Zhang, Jiasen Zheng, Junjiang Lin, Xiaoxuan Sun
https://arxiv.org/abs/2510.10109

Integrating Structure-Aware Attention and Knowledge Graphs in Explainable Recommendation Systems
This paper designs and implements an explainable recommendation model that integrates knowledge graphs with structure-aware attention mechanisms. The model is built on graph neural networks and incorporates a multi-hop neighbor aggregation strategy. By integrating the structural information of knowledge graphs and dynamically assigning importance to different neighbors through an attention mechanism, the model enhances its ability to capture implicit preference relationships. In the proposed me…

Spectral structure of infinite size squared distances matrices
Alexander Plakhotnikov
https://arxiv.org/abs/2509.10773 https://arxiv.org/pdf/2509.10773

Spectral structure of infinite size squared distances matrices
Let a finite set of points $\{ξ_1,...,ξ_k\}$ be chosen in a metric space $(X,\mathfrak{D})$, and let the squared distance matrix $\mathfrak{D}=(\mathfrak{D}(ξ_i,ξ_j)^2)_{i,j=1}^{k}$ be constructed from them. We propose a geometric approach to studying the spectral properties of squared distance matrices of infinite size, constructed from a countable set of points $\{ξ_k\}_{k\in \mathbb{Z}}$ on Riemannian manifold $(M,g)$. We move from the discrete problem to a continuous one using walk mat…

The Structure of Extremal Bad Science Matrices
Shridhar Sinha
https://arxiv.org/abs/2509.10580 https://arxiv.org/pdf/2509.10580

The Structure of Extremal Bad Science Matrices
We study the 'bad science matrix problem': among all matrices $A\in\mathbb{R}^{n\times n}$ whose rows have unit $\ell_2$-norm, determine the maximum of $β(A)=\frac{1}{2^n}\sum_{x\in\{\pm1\}^n}\|Ax\|_\infty$. Steinerberger [1] (arXiv:2402.03205) showed that the optimal asymptotic rate is $(1+o(1))\sqrt{2\log n}$, and that this rate is attained with high probability by matrices with i.i.d. $\pm1$ entries after normalization. More recent explicit constructions [2] (arXiv:2408.00933) ach…

Orbital Hybridization-Driven Stabilization and Reactivity on an Asymmetrically Reconstructed Polar CeO2(100) Surface
Songda Li, Chen Zou, Liuxi Chen, Zhong-Kang Han, Wentao Yuan, Hangsheng Yang, David J. Wales, Yong Wang
https://arxiv.org/abs/2509.11568

Orbital Hybridization-Driven Stabilization and Reactivity on an Asymmetrically Reconstructed Polar CeO2(100) Surface
Understanding and controlling the atomic structure of polar oxide surfaces is essential for unraveling surface reactivilty and designing advanced catalytic materials. Among these, the polar CeO2(100) surface is a prototypical and industrially important system in heterogeneous catalysis. However, due to the vast complexity of the surface configurations, its reconstruction behavior remains an open question. Here, we report a previously unidentified asymmetric (1x2) reconstructed structure on the …

The $r$-matrix structure on the moduli space of framed Higgs pairs
M. Bertola
https://arxiv.org/abs/2509.11408 https://arxiv.org/pdf/2509.11408

The $r$-matrix structure on the moduli space of framed Higgs pairs
On the space of matrices with rational (trigonometric/elliptic) entries there is a well-known Lie-Poisson $r$-matrix structure. The known $r$-matrices are defined on the Riemann sphere (rational), the cylinder (trigonometric), or the torus (elliptic). We extend the formalism to the case of a Riemann surface $\mathcal C$ of higher genus $g$: we consider the moduli space of framed vector bundles of rank $n$ and degree $ng$, where the framing consists in a choice of basis of $n$ independent holomo…

Vintage Aaron Rodgers performance had Steelers' offense clicking in Week 6: Quick Outs https://www.nytimes.com/athletic/6715956/2025/10/15/nfl-rodgers-jets-colts-bills-quick-outs/

An Efficient Algorithm for Exploring RNA Branching Conformations under the Nearest-Neighbor Thermodynamic Model
Svetlana Poznanovi\'c, Owen Cardwell, Christine Heitsch
https://arxiv.org/abs/2510.12059

An Efficient Algorithm for Exploring RNA Branching Conformations under the Nearest-Neighbor Thermodynamic Model
Background: In the Nearest-Neighbor Thermodynamic Model, a standard approach for RNA secondary structure prediction, the energy of the multiloops is modeled using a linear entropic penalty governed by three branching parameters. Although these parameters are typically fixed, recent work has shown that reparametrizing the multiloop score and considering alternative branching conformations can lead to significantly better structure predictions. However, prior approaches for exploring the alternat…

A structure theorem for complex-valued quasiprobability representations of physical theories
Rafael Wagner, Roberto D. Baldij\~ao, Matthias Salzger, Y\`il\`e Y\=ing, David Schmid, John H. Selby
https://arxiv.org/abs/2509.10949

A structure theorem for complex-valued quasiprobability representations of physical theories
Quasiprobability representations are well-established tools in quantum information science, with applications ranging from the classical simulability of quantum computation to quantum process tomography, quantum error correction, and quantum sensing. While traditional quasiprobability representations typically employ real-valued distributions, recent developments highlight the usefulness of complex-valued ones -- most notably, via the family of Kirkwood--Dirac quasiprobability distributions. Bu…

On the magnetic contribution of itinerant electrons to neutron diffraction in the topological antiferromagnet CeAlGe
V. Pomjakushin, A. Podlesnyak, P. Puphal, S. Shin, J. S. White, E. Pomjakushina
https://arxiv.org/abs/2509.11795

On the magnetic contribution of itinerant electrons to neutron diffraction in the topological antiferromagnet CeAlGe
We report a neutron diffraction study of the magnetic structure of CeAlGe, a candidate topological semimetal that hosts a non-collinear, multi-$\mathbf{k}$ magnetic phase. By measuring both low- and high-momentum-transfer magnetic Bragg peaks within a single experimental setup, we refine a magnetic structure model based solely on localized Ce moments. This model, which differs from that obtained using only high-$Q$ data, quantitatively reproduces the observed intensities, including the $(000)$ …

Bridging Semantics & Structure for Software Vulnerability Detection using Hybrid Network Models
Jugal Gajjar, Kaustik Ranaware, Kamalasankari Subramaniakuppusamy
https://arxiv.org/abs/2510.10321

Bridging Semantics & Structure for Software Vulnerability Detection using Hybrid Network Models
Software vulnerabilities remain a persistent risk, yet static and dynamic analyses often overlook structural dependencies that shape insecure behaviors. Viewing programs as heterogeneous graphs, we capture control- and data-flow relations as complex interaction networks. Our hybrid framework combines these graph representations with light-weight (<4B) local LLMs, uniting topological features with semantic reasoning while avoiding the cost and privacy concerns of large cloud models. Evaluated on…

Bridging Engineering and AI Planning through Model-Based Knowledge Transformation for the Validation of Automated Production System Variants
Hamied Nabizada, Lasse Beers, Alain Chahine, Felix Gehlhoff, Oliver Niggemann, Alexander Fay
https://arxiv.org/abs/2509.12091

Bridging Engineering and AI Planning through Model-Based Knowledge Transformation for the Validation of Automated Production System Variants
Engineering models created in Model-Based Systems Engineering (MBSE) environments contain detailed information about system structure and behavior. However, they typically lack symbolic planning semantics such as preconditions, effects, and constraints related to resource availability and timing. This limits their ability to evaluate whether a given system variant can fulfill specific tasks and how efficiently it performs compared to alternatives. To address this gap, this paper presents a mo…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Language Models Model Language
{\L}ukasz Borchmann
https://arxiv.org/abs/2510.12766 https://arxiv.org/pdf/2510.12766

Language Models Model Language
Linguistic commentary on LLMs, heavily influenced by the theoretical frameworks of de Saussure and Chomsky, is often speculative and unproductive. Critics challenge whether LLMs can legitimately model language, citing the need for "deep structure" or "grounding" to achieve an idealized linguistic "competence." We argue for a radical shift in perspective towards the empiricist principles of Witold Mańczak, a prominent general and historical linguist. He defines language not as a "system of sign…

End-to-End 4D Heart Mesh Recovery Across Full-Stack and Sparse Cardiac MRI
Yihong Chen, Jiancheng Yang, Deniz Sayin Mercadier, Hieu Le, Juerg Schwitter, Pascal Fua
https://arxiv.org/abs/2509.12090

End-to-End 4D Heart Mesh Recovery Across Full-Stack and Sparse Cardiac MRI
Reconstructing cardiac motion from cine CMR sequences is critical for diagnosis, prediction, and intervention. Existing methods rely on complete CMR stacks to infer full heart motion, limiting their utility in intra-procedural scenarios where only sparse observations are available. We present TetHeart, the first end-to-end framework that unifies full 4D multi-structure heart mesh recovery from both offline full-stack acquisitions and intra-procedural sparse-slice observations. Our method levera…

Revisiting Trust in the Era of Generative AI: Factorial Structure and Latent Profiles
Haocan Sun, Weizi Liu, Di Wu, Guoming Yu, Mike Yao
https://arxiv.org/abs/2510.10199 https:/…

Revisiting Trust in the Era of Generative AI: Factorial Structure and Latent Profiles
Trust is one of the most important factors shaping whether and how people adopt and rely on artificial intelligence (AI). Yet most existing studies measure trust in terms of functionality, focusing on whether a system is reliable, accurate, or easy to use, while giving less attention to the social and emotional dimensions that are increasingly relevant for today's generative AI (GenAI) systems. These systems do not just process information; they converse, respond, and collaborate with users, bl…

Dynamic Quadrupedal Legged and Aerial Locomotion via Structure Repurposing
Chenghao Wang, Kaushik Venkatesh Krishnamurthy, Shreyansh Pitroda, Adarsh Salagame, Ioannis Mandralis, Eric Sihite, Alireza Ramezani, Morteza Gharib
https://arxiv.org/abs/2510.09526

Dynamic Quadrupedal Legged and Aerial Locomotion via Structure Repurposing
Multi-modal ground-aerial robots have been extensively studied, with a significant challenge lying in the integration of conflicting requirements across different modes of operation. The Husky robot family, developed at Northeastern University, and specifically the Husky v.2 discussed in this study, addresses this challenge by incorporating posture manipulation and thrust vectoring into multi-modal locomotion through structure repurposing. This quadrupedal robot features leg structures that can…

SDSS-V Local Volume Mapper (LVM): Revealing the Structure of the Rosette Nebula
M\'onica A. Villa-Durango, Jorge Barrera-Ballesteros, Carlos G. Rom\'an-Z\'u\~niga, Emma R. Moran, Jason E. Ybarra, J. Eduardo M\'endez-Delgado, Niv Drory, Kathryn Kreckel, Hector Ibarra-Medel, S. F. S\'anchez, Evelyn J. Johnston, A. Roman-Lopes, Jes\'us Hernandez, Jos\'e G. Fern\'andez-Trincado, Amelia M. Stutz, William J. Henney, A. Ghosh, Sumit K. Sarbadhicary, A. Z. Lugo-…

SDSS-V Local Volume Mapper (LVM): Revealing the Structure of the Rosette Nebula
The Rosette Nebula is a well-known H II region shaped by the interaction of gas with the OB stars of the NGC 2244 stellar association. Located within the remnant of a giant molecular cloud, it exhibits a complex structure of ionized gas, molecular material, dust, and embedded clusters. In October 2023, the region was observed as part of the SDSS-V Local Volume Mapper (LVM) integral field spectroscopy survey. Covering a radius of approximately 1 degree, the dataset comprises 33,326 spectra with …

Kites and representations of pseudo MV-algebras
Michal Botur, Tomasz Kowalski
https://arxiv.org/abs/2509.11603 https://arxiv.org/pdf/2509.11603

Kites and representations of pseudo MV-algebras
We investigate the structure of perfect residuated lattices, focussing especially on perfect pseudo MV-algebras. We show that perfect pseudo MV-algebras can be represented as a generalised version of kites of Dvurečenskij and Kowalski, and that they are categorically equivalent to $\ell$-groups with a distinguished automorphism. We then characterise varieties generated by kites and describe the lattice of these varieties as a complete sublattice of the lattice of perfectly generated varieties …

An inverse theorem on sets with rich additive structure modulo primes
Ernie Croot, Junzhe Mao, Chi Hoi Yip
https://arxiv.org/abs/2510.08862 https://arxiv.o…

An inverse theorem on sets with rich additive structure modulo primes
In this paper, we prove several results on the structure of maximal sets $S \subseteq [N]$ such that $S$ mod $p$ is contained in a short arithmetic progression, or the union of short progressions, where $p$ ranges over a subset of primes in an interval $[y,2y]$, where $(\log N)^C < y \leq N$. We also provide several constructions showing that our results cannot be improved. As an application, we provide several improvements on the larger sieve bound for $|S|$ when $S$ mod $p$ has stro…

Time-varying Vine Copula model based on R-Vine structure and its application in financial risk research
XueZeng Yu
https://arxiv.org/abs/2509.11192 https://

Time-varying Vine Copula model based on R-Vine structure and its application in financial risk research
The time-varying Vine Copula model has become a new direction in the Vine Copula class of models due to its time-varying structural parameters. We have observed that the Vine structures of the time-varying Vine Copula model currently used in economics and business research are C-Vine and D-Vine. These two structures are simpler than the R-Vine structure in modeling but will lose more details. Although truncation and simplification of the Vine structure are necessary when the number of variables…

IP-Augmented Multi-Modal Malicious URL Detection Via Token-Contrastive Representation Enhancement and Multi-Granularity Fusion
Ye Tian, Yanqiu Yu, Liangliang Song, Zhiquan Liu, Yanbin Wang, Jianguo Sun
https://arxiv.org/abs/2510.12395

IP-Augmented Multi-Modal Malicious URL Detection Via Token-Contrastive Representation Enhancement and Multi-Granularity Fusion
Malicious URL detection remains a critical cybersecurity challenge as adversaries increasingly employ sophisticated evasion techniques including obfuscation, character-level perturbations, and adversarial attacks. Although pre-trained language models (PLMs) like BERT have shown potential for URL analysis tasks, three limitations persist in current implementations: (1) inability to effectively model the non-natural hierarchical structure of URLs, (2) insufficient sensitivity to character-level o…

Vandermonde Cells Through the Lens of Positive Geometry
Fatemeh Mohammadi, Sebastian Seemann
https://arxiv.org/abs/2510.11614 https://arxiv.org/pdf/2510.11…

Vandermonde Cells Through the Lens of Positive Geometry
We study the geometric and algebraic structure of Vandermonde cells, defined as images of the standard probability simplex under the Vandermonde map given by consecutive power sum polynomials. Motivated by their combinatorial equivalence to cyclic polytopes, which are well-known examples of positive geometries and tree amplituhedra, we investigate whether Vandermonde cells admit the structure of positive geometries. We derive explicit parametrizations and algebraic equations for their boundary …

And more to read in your freetime, if you are interested in AI, from Bluesky, Phillip Isola.
"Over the past year, my lab has been working on fleshing out theory applications of the Platonic Representation Hypothesis.
Today I want to share two new works on this topic:"
Eliciting higher alignment:
https://arxiv.org/…

Words That Make Language Models Perceive
Large language models (LLMs) trained purely on text ostensibly lack any direct perceptual experience, yet their internal representations are implicitly shaped by multimodal regularities encoded in language. We test the hypothesis that explicit sensory prompting can surface this latent structure, bringing a text-only LLM into closer representational alignment with specialist vision and audio encoders. When a sensory prompt tells the model to 'see' or 'hear', it cues the model to resolve its next…

Metropolitana IV 🏯
城 IV 🏯
📷 Pentax MX
🎞️ Ilford Pan 100
#filmphotography #Photography #blackandwhite

Raman Microspectroscopy for Real-Time Structure Indicator in Ultrafast Laser Writing
Xingrui Cheng, Eugenio Picheo, Zhixin Chen, Martin J. Booth, Patrick S. Salter, \'Alvaro Fern\'andez-Galiana
https://arxiv.org/abs/2510.11422

Raman Microspectroscopy for Real-Time Structure Indicator in Ultrafast Laser Writing
Raman microspectroscopy provides non-destructive, structure-specific contrast suited to in situ monitoring of femtosecond (fs) laser fabrication processes. In this work, we introduce a sample-agnostic Raman workflow that screens candidate spectral indicators using drift-resistant, self-normalized metrics and, where appropriate, label-free hyperspectral unmixing to extract endmembers and validate metric selection. Using diamond as an example, hyperspectral maps and electrical tests show that dep…

Disentangling Neurodegeneration with Brain Age Gap Prediction Models: A Graph Signal Processing Perspective
Saurabh Sihag, Gonzalo Mateos, Alejandro Ribeiro
https://arxiv.org/abs/2510.12763

Disentangling Neurodegeneration with Brain Age Gap Prediction Models: A Graph Signal Processing Perspective
Neurodegeneration, characterized by the progressive loss of neuronal structure or function, is commonly assessed in clinical practice through reductions in cortical thickness or brain volume, as visualized by structural MRI. While informative, these conventional approaches lack the statistical sophistication required to fully capture the spatially correlated and heterogeneous nature of neurodegeneration, which manifests both in healthy aging and in neurological disorders. To address these limit…

Subdifferentiation with symmetry
C\'edric Josz
https://arxiv.org/abs/2509.11422 https://arxiv.org/pdf/2509.11422

Subdifferentiation with symmetry
Given an objective function that is invariant under an action of a Lie group, we study how its subgradients relate to the orbits of the action. Our main finding is that they satisfy projection formulae analogous to those stemming from the Whitney and Verdier stratifications. If the function is definable in an o-minimal structure on the real field, then we also obtain an invariant variational stratification. On the application side, we derive a conservation law for subgradient dynamics under min…

Double Deeply Virtual Compton Scattering as a probe of Generalized Parton Distributions
J. S. Alvarado, M. Hoballah, E. Voutier
https://arxiv.org/abs/2509.11685 https://

Double Deeply Virtual Compton Scattering as a probe of Generalized Parton Distributions
Generalized Parton Distributions (GPDs) are multidimensional structure functions of hadrons, encoding mechanical and spin properties through the correlation of the momentum and transverse position of partons. While channels like Deeply Virtual Compton Scattering (DVCS) access GPDs in a constrained kinematic domain, Double Deeply Virtual Compton Scattering (DDVCS) offers broader access to the GPD phase space, though it remains unmeasured. We present a feasibility study of DDVCS observables using…

Adjoint ferromagnets
Joaqu\'in L\'opez-Su\'arez, Alexios P. Polychronakos, Konstantinos Sfetsos
https://arxiv.org/abs/2510.11776 https://arxiv.…

Adjoint ferromagnets
We derive the phase structure and thermodynamics of ferromagnets consisting of elementary magnets carrying the adjoint representation of $SU(N)$ and coupled through two-body quadratic interactions. Such systems have a continuous $SU(N)$ symmetry as well as a discrete conjugation symmetry. We uncover a rich spectrum of phases and transitions, involving a paramagnetic and two distinct ferromagnetic phases that can coexist as stable and metastable states in different combinations over a range of t…

Hubble reveals complex multi-scale structure in the edge-on protoplanetary disk IRAS 23077 6707
Kristina Monsch, Joshua B. Lovell, Karl R. Stapelfeldt, Sean M. Andrews, Ammar Bayyari, Alice S. Booth, Adolfo S. Carvalho, John H. Debes, Jeremy J. Drake, Joshua W. J. Earley, Cecilia Garraffo, Garrett K. Keating, Michael L. Sitko, David J. Wilner
https://

Hubble reveals complex multi-scale structure in the edge-on protoplanetary disk IRAS 23077+6707
We present high-resolution (<0.1") Hubble Space Telescope (HST)/Wide Field Camera 3 (WFC3) imaging of the near edge-on (i~80 deg) protoplanetary disk IRAS 23077+6707 ("Dracula's Chivito") obtained across six broadband filters spanning 0.4-1.6 microns. These observations unveil the scattered light from this unusually large disk (~14", or ~4200 au at 300 pc) in remarkable detail, revealing a rich tapestry of substructure, including brightness asymmetries and signatures of dynamical activity. Exte…

A cusped hyperbolic 4-manifold without spin structures
Stefano Riolo, Edoardo Rizzi
https://arxiv.org/abs/2510.12657 https://arxiv.org/pdf/2510.12657

A cusped hyperbolic 4-manifold without spin structures
We build a non-compact, orientable, hyperbolic four-manifold of finite volume that does not admit any spin structure.

A Dark Matter Model with Quadratic Equation of State: Background Evolution and Structure Formation
Kazem Rezazadeh, Ebrahim Yusofi, Alireza Talebian
https://arxiv.org/abs/2509.11138

A Dark Matter Model with Quadratic Equation of State: Background Evolution and Structure Formation
We propose that dark matter (DM) possesses a quadratic equation of state, which becomes significant at high densities, altering the Universe's evolution during its early stages. We derive the modified background evolution equations for the Hubble parameter $H(z)$ and the DM density parameter $Ω_{\text{dm}}(z)$. We then perturb the governing equations to study the linear growth of matter fluctuations, computing the observable growth factor $fσ_8(z)$. Finally, we compare the model with the late…

Spatial structure of multipartite entanglement at measurement induced phase transitions
James Allen, William Witczak-Krempa
https://arxiv.org/abs/2509.12109 https://

Spatial structure of multipartite entanglement at measurement induced phase transitions
We study multiparty entanglement near measurement induced phase transitions (MIPTs), which arise in ensembles of local quantum circuits built with unitaries and measurements. In contrast to equilibrium quantum critical transitions, where entanglement is short-ranged, MIPTs possess long-range k-party genuine multiparty entanglement (GME) characterized by an infinite hierarchy of entanglement exponents for k >= 2. First, we represent the average spread of entanglement with "entanglement clusters"…

Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training
Chuan He, Zhanwang Deng, Zhaosong Lu
https://arxiv.org/abs/2509.11983

Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training
Neural network (NN) training is inherently a large-scale matrix optimization problem, yet the matrix structure of NN parameters has long been overlooked. Recently, the optimizer Muon \cite{jordanmuon}, which explicitly exploits this structure, has gained significant attention for its strong performance in foundation model training. A key component contributing to Muon's success is matrix orthogonalization. In this paper, we propose {\it low-rank orthogonalization}, which explicitly leverages th…

Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Xiao Shan Chen, Hongguo Xu
https://arxiv.org/abs/2509.10688 http…

Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Combined perturbation bounds are presented for eigenvalues and eigenspaces of Hermitian matrices or singular values and singular subspaces of general matrices. The bounds are derived based on the smooth decompositions and elementary calculus techniques.

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Enhancing Computational Cognitive Architectures with LLMs: A Case Study
Ron Sun
https://arxiv.org/abs/2509.10972 https://arxiv.org/pdf/2509.10972

Enhancing Computational Cognitive Architectures with LLMs: A Case Study
Computational cognitive architectures are broadly scoped models of the human mind that combine different psychological functionalities (as well as often different computational methods for these different functionalities) into one unified framework. They structure them in a psychologically plausible and validated way. However, such models thus far have only limited computational capabilities, mostly limited by the computational tools and techniques that were adopted. More recently, LLMs have pr…

PRoH: Dynamic Planning and Reasoning over Knowledge Hypergraphs for Retrieval-Augmented Generation
Xiangjun Zai, Xingyu Tan, Xiaoyang Wang, Qing Liu, Xiwei Xu, Wenjie Zhang
https://arxiv.org/abs/2510.12434

PRoH: Dynamic Planning and Reasoning over Knowledge Hypergraphs for Retrieval-Augmented Generation
Knowledge Hypergraphs (KHs) have recently emerged as a knowledge representation for retrieval-augmented generation (RAG), offering a paradigm to model multi-entity relations into a structured form. However, existing KH-based RAG methods suffer from three major limitations: static retrieval planning, non-adaptive retrieval execution, and superficial use of KH structure and semantics, which constrain their ability to perform effective multi-hop question answering. To overcome these limitations, w…

Replaced article(s) found for cs.SE. https://arxiv.org/list/cs.SE/new
[1/1]:
- K-ASTRO: Structure-Aware Adaptation of LLMs for Code Vulnerability Detection
Yifan Zhang, Michael Sandborn, Stefan Larson, Yu Huang, Kevin Leach

Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
Donghoon Kim, Yusuke Kimura, Hugo Mackay, Yosuke Mitsuhashi, Hideaki Nishikawa, Carla Rubiliani, Cheng Shang, Ayumi Ukai, Tomotaka Kuwahara
https://arxiv.org/abs/2509.12014

Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
A key challenge in quantum complexity is how entanglement structure emerges from dynamics, highlighted by advances in simulators and information processing. The Lieb--Robinson bound sets a locality-based speed limit on information propagation, while the Small-Incremental-Entangling (SIE) theorem gives a universal constraint on entanglement growth. Yet, SIE bounds only total entanglement, leaving open the fine entanglement structure. In this work, we introduce Spectral-Entangling Strength, measu…

Hanlon-Hicks-Lazarev resolution revisited
Lev Borisov, Zengrui Han
https://arxiv.org/abs/2509.11077 https://arxiv.org/pdf/2509.11077

Hanlon-Hicks-Lazarev resolution revisited
Hanlon, Hicks and Lazarev constructed resolutions of structure sheaves of toric substacks by certain line bundles on the ambient toric stacks. In this paper, we give a new and substantially simpler proof of their result.

ORQ: Complex Analytics on Private Data with Strong Security Guarantees
Eli Baum, Sam Buxbaum, Nitin Mathai, Muhammad Faisal, Vasiliki Kalavri, Mayank Varia, John Liagouris
https://arxiv.org/abs/2509.10793

ORQ: Complex Analytics on Private Data with Strong Security Guarantees
We present ORQ, a system that enables collaborative analysis of large private datasets using cryptographically secure multi-party computation (MPC). ORQ protects data against semi-honest or malicious parties and can efficiently evaluate relational queries with multi-way joins and aggregations that have been considered notoriously expensive under MPC. To do so, ORQ eliminates the quadratic cost of secure joins by leveraging the fact that, in practice, the structure of many real queries allows us…

On the K-point in moduli space
Jarod Hattab, Eran Palti, Joan Quirant
https://arxiv.org/abs/2509.11949 https://arxiv.org/pdf/2509.11949

On the K-point in moduli space
We study a class of infinite-distance loci, referred to as K-points, in one-parameter complex-structure moduli spaces of type IIB string theory compactified on Calabi-Yau manifolds. We show that around K-points the effective four-dimensional supergravity exhibits certain unusual properties. The two most prominent being that the leading order dependence of the prepotential on the gauge couplings is non-perturbative and that the leading gauge kinetic terms in the action vanish when evaluated on a…

MMM: Clustering Multivariate Longitudinal Mixed-type Data
Francesco Amato, Julien Jacques
https://arxiv.org/abs/2509.12166 https://arxiv.org/pdf/2509.12166…

MMM: Clustering Multivariate Longitudinal Mixed-type Data
Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time dependence structures for multivariate data of mixed kind. We introduce the Mixture of Mixed-Matrices (MMM) model: reorganizing the data in a three-way structure and assuming that the non-continuous variables are observations of underlying latent continuous variab…

Evidence for a gap in the envelope mass fraction of sub-Saturns
Luis Thomas, Louise D. Nielsen, Lorena Acu\~na-Aguirre, Alex Cridland
https://arxiv.org/abs/2509.12120 https://…

Evidence for a gap in the envelope mass fraction of sub-Saturns
Under the core-accretion model, gas giants form via runaway accretion. This process starts when the mass of the accreted envelope becomes equal to the mass of the core. Here, we model a population of warm sub-Saturns to search for imprints of their formation history in their internal structure. Using the GAS gianT modeL for Interiors (GASTLI), we calculate a grid of interior structure models on which we perform retrievals for our sample of 28 sub-Saturns to derive their envelope mass fractions …

Crosslisted article(s) found for math.CO. https://arxiv.org/list/math.CO/new
[1/1]:
- An inverse theorem on sets with rich additive structure modulo primes
Ernie Croot, Junzhe Mao, Chi Hoi Yip

LubDubDecoder: Bringing Micro-Mechanical Cardiac Monitoring to Hearables
Siqi Zhang, Xiyuxing Zhang, Duc Vu, Tao Qiang, Clara Palacios, Jiangyifei Zhu, Yuntao Wang, Mayank Goel, Justin Chan
https://arxiv.org/abs/2509.10764

LubDubDecoder: Bringing Micro-Mechanical Cardiac Monitoring to Hearables
We present LubDubDecoder, a system that enables fine-grained monitoring of micro-cardiac vibrations associated with the opening and closing of heart valves across a range of hearables. Our system transforms the built-in speaker, the only transducer common to all hearables, into an acoustic sensor that captures the coarse "lub-dub" heart sounds, leverages their shared temporal and spectral structure to reconstruct the subtle seismocardiography (SCG) and gyrocardiography (GCG) waveforms, and extr…

FLOWING: Implicit Neural Flows for Structure-Preserving Morphing
Arthur Bizzi, Matias Grynberg, Vitor Matias, Daniel Perazzo, Jo\~ao Paulo Lima, Luiz Velho, Nuno Gon\c{c}alves, Jo\~ao Pereira, Guilherme Schardong, Tiago Novello
https://arxiv.org/abs/2510.09537

FLOWING: Implicit Neural Flows for Structure-Preserving Morphing
Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit neural representations (INRs) for modeling such deformations, due to their meshlessness and differentiability; however, extracting coherent and accurate morphings from standard MLPs typically relies on costly regularizations, which often lead to unstable traini…

Some Structures arising from the Farey Fractal
Shai Haran
https://arxiv.org/abs/2509.10959 https://arxiv.org/pdf/2509.10959

Some Structures arising from the Farey Fractal
This work explores new arithmetic and combinatorial structures arising from the interplay between Farey-type graphs, Fibonacci expansions, and operadic constructions. We introduce Fibonadic numbers, defined as an inverse limit under the Zeckendorf shift, equipped with a metric, order, and commutative rig structure. A normalization lemma provides canonical representatives, while quotients of the non-zero Fibonadic numbers under shifts and it's fundamental domain covering the circle via phi-value…

Random State Approach to Quantum Computation of Electronic-Structure Properties
Yiran Bai, Feng Xiong, Xueheng Kuang
https://arxiv.org/abs/2510.09999 https://

Random State Approach to Quantum Computation of Electronic-Structure Properties
Classical computation of electronic properties in large-scale materials remains challenging. Quantum computation has the potential to offer advantages in memory footprint and computational scaling. However, general and practical quantum algorithms for simulating large-scale materials are still lacking. We propose and implement random-state quantum algorithms to calculate electronic-structure properties of real materials. Using a random state circuit with only a few qubits, we employ real-time e…

Dipole Alignment and Layered Flow Structure in Pressure-Driven Water Transport through MoS$_{2}$ Membranes
Jo\~ao Victor Lemos Vale, Lucas Cesena, Bruno H. S. Mendon\c{c}a, Elizane E. de Moraes
https://arxiv.org/abs/2510.09789

Dipole Alignment and Layered Flow Structure in Pressure-Driven Water Transport through MoS$_{2}$ Membranes
Efficient water transport through nanostructure membranes is essential for advancing filtration and desalination technologies. In this study, we investigate the flow of water through molybdenum disulfide (MoS$_{2}$) nanopores of varying diameters using molecular dynamics simulations. The results demonstrate that both pore size and atomic edge composition play crucial roles in regulating water flux, molecular organization, and dipole orientation. Larger pores facilitate the formation of layered …

Moody Urbanity - Passer By 🚶‍♂️
情绪化城市 - 路人 🚶‍♂️
📷 Pentax MX
🎞️ Kentmere Pan 400
#filmphotography #Photography #blackandwhite

User eXperience Perception Insights Dataset (UXPID): Synthetic User Feedback from Public Industrial Forums
Mikhail Kulyabin, Jan Joosten, Choro Ulan uulu, Nuno Miguel Martins Pacheco, Fabian Ries, Filippos Petridis, Jan Bosch, Helena Holmstr\"om Olsson
https://arxiv.org/abs/2509.11777

User eXperience Perception Insights Dataset (UXPID): Synthetic User Feedback from Public Industrial Forums
Customer feedback in industrial forums reflect a rich but underexplored source of insight into real-world product experience. These publicly shared discussions offer an organic view of user expectations, frustrations, and success stories shaped by the specific contexts of use. Yet, harnessing this information for systematic analysis remains challenging due to the unstructured and domain-specific nature of the content. The lack of structure and specialized vocabulary makes it difficult for tradi…

STaTS: Structure-Aware Temporal Sequence Summarization via Statistical Window Merging
Disharee Bhowmick, Ranjith Ramanathan, Sathyanarayanan N. Aakur
https://arxiv.org/abs/2510.09593

STaTS: Structure-Aware Temporal Sequence Summarization via Statistical Window Merging
Time series data often contain latent temporal structure, transitions between locally stationary regimes, repeated motifs, and bursts of variability, that are rarely leveraged in standard representation learning pipelines. Existing models typically operate on raw or fixed-window sequences, treating all time steps as equally informative, which leads to inefficiencies, poor robustness, and limited scalability in long or noisy sequences. We propose STaTS, a lightweight, unsupervised framework for …

Analysing Python Machine Learning Notebooks with Moose
Marius Mignard, Steven Costiou, Nicolas Anquetil, Anne Etien
https://arxiv.org/abs/2509.11748 https://

Analysing Python Machine Learning Notebooks with Moose
Machine Learning (ML) code, particularly within notebooks, often exhibits lower quality compared to traditional software. Bad practices arise at three distinct levels: general Python coding conventions, the organizational structure of the notebook itself, and ML-specific aspects such as reproducibility and correct API usage. However, existing analysis tools typically focus on only one of these levels and struggle to capture ML-specific semantics, limiting their ability to detect issues. This pa…

Cohomology of vector bundles on the moduli space of parabolic connections on $\mathbb{P}^1$ minus $5$ points
Yuki Matsubara
https://arxiv.org/abs/2510.12578 https://

Cohomology of vector bundles on the moduli space of parabolic connections on $\mathbb{P}^1$ minus $5$ points
We study the moduli space of parabolic connections of rank two on the complex projective line $\mathbb{P}^1$ minus five points with fixed spectral data. This paper aims to compute the cohomology of the structure sheaf and a certain vector bundle on this space. We use this computation to extend the results of Arinkin, which proved a specific Geometric Langlands Correspondence to the case where these connections have five simple poles on $\mathbb{P}^1$. Moreover, we give an explicit geometric des…

Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model
Tileuzhan Mukhamet, Katharina Kormann
https://arxiv.org/abs/2510.11500 http…

Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model
We derive mixed finite element discretizations of a cold relativistics fluid model from approximations of the Poisson bracket that preserve mass, energy and the divergence constraints. For time-discretization we derive an implicit energy-conserving average-vector field method or apply an explicit strong-stability preserving Runge-Kutta scheme. We also consider a coupling of the fluid model to relativistic particles. We perform a numerical study of the scheme which shows convergence and conserva…

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…

4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Xu Guo, Yi Pang, Ergin Sezgin
https://arxiv.org/abs/2510.11794 https://arxiv.org/pd…

4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits half-supersymmetric Minkowski$_4\times S^2$ and non-supersymmetric dS$_4 \times S^2$ as exact solutions with a monopole on $S^2$. The monopole charge and the anomaly coefficients play key roles in the vacuum structure and it turns out that a diagonal gauging in which a…

VisDocSketcher: Towards Scalable Visual Documentation with Agentic Systems
Lu\'is F. Gomes, Xin Zhou, David Lo, Rui Abreu
https://arxiv.org/abs/2509.11942 https://

VisDocSketcher: Towards Scalable Visual Documentation with Agentic Systems
Visual documentation is an effective tool for reducing the cognitive barrier developers face when understanding unfamiliar code, enabling more intuitive comprehension. Compared to textual documentation, it provides a higher-level understanding of the system structure and data flow. Developers usually prefer visual representations over lengthy textual descriptions for large software systems. Visual documentation is both difficult to produce and challenging to evaluate. Manually creating it is ti…

Learning Neural Networks by Neuron Pursuit
Akshay Kumar, Jarvis Haupt
https://arxiv.org/abs/2509.12154 https://arxiv.org/pdf/2509.12154

Learning Neural Networks by Neuron Pursuit
The first part of this paper studies the evolution of gradient flow for homogeneous neural networks near a class of saddle points exhibiting a sparsity structure. The choice of these saddle points is motivated from previous works on homogeneous networks, which identified the first saddle point encountered by gradient flow after escaping the origin. It is shown here that, when initialized sufficiently close to such saddle points, gradient flow remains near the saddle point for a sufficiently lon…

Neural Decoders for Universal Quantum Algorithms
J. Pablo Bonilla Ataides, Andi Gu, Susanne F. Yelin, Mikhail D. Lukin
https://arxiv.org/abs/2509.11370 https://

Neural Decoders for Universal Quantum Algorithms
Fault-tolerant quantum computing demands decoders that are fast, accurate, and adaptable to circuit structure and realistic noise. While machine learning (ML) decoders have demonstrated impressive performance for quantum memory, their use in algorithmic decoding - where logical gates create complex error correlations - remains limited. We introduce a modular attention-based neural decoder that learns gate-induced correlations and generalizes from training on random circuits to unseen multi-qubi…

Dual Shellability of Admissible Set and Cohen-Macaulayness of Local Models
Xuhua He, Qingchao Yu
https://arxiv.org/abs/2509.11581 https://arxiv.org/pdf/250…

Dual Shellability of Admissible Set and Cohen-Macaulayness of Local Models
We prove Görtz's combinatorial conjecture \cite{Go01} on dual shellability of admissible sets in Iwahori-Weyl groups, proving that the augmented admissible set $\widehat{\mathrm{Adm}}(μ)$ is dual shellable for any dominant coweight $μ$. This provides a uniform, elementary approach to establishing Cohen-Macaulayness of the special fibers of the local models with Iwahori level structure for all reductive groups-including residue characteristic $2$ and non-reduced root systems-circumventing geo…

A complex structure of escaping helium spanning more than half the orbit of the ultra-hot Jupiter WASP-121\,b
Romain Allart, Louis-Philippe Coulombe, Yann Carteret, Jared Splinter, Lisa Dang, Vincent Bourrier, David Lafreni\`ere, Lo\"ic Albert, \'Etienne Artigau, Bj\"orn Benneke, Nicolas B. Cowan, Ren\'e Doyon, Vigneshwaran Krishnamurthy, Ray Jayawardhana, Doug Johnstone, Adam B. Langeveld, Michael R. Meyer, Stefan Pelletier, Caroline Piaulet-Ghorayeb, Michael Radica,…

A complex structure of escaping helium spanning more than half the orbit of the ultra-hot Jupiter WASP-121\,b
Atmospheric escape of planets on short orbital periods, driven by the host star's irradiation, influences their evolution, composition, and atmospheric dynamics. Our main avenue to probe atmospheric escape is through the near-infrared metastable helium triplet, which has enabled mass loss rate measurements for tens of exoplanets. Among them, only a few studies show evidence for out-of-transit absorption, supporting the presence of a hydrodynamic outflow. However, none of these observations prec…

Event2Vec: A Geometric Approach to Learning Composable Representations of Event Sequences
Antonin Sulc
https://arxiv.org/abs/2509.12188 https://arxiv.org/p…

Event2Vec: A Geometric Approach to Learning Composable Representations of Event Sequences
The study of neural representations, both in biological and artificial systems, is increasingly revealing the importance of geometric and topological structures. Inspired by this, we introduce Event2Vec, a novel framework for learning representations of discrete event sequences. Our model leverages a simple, additive recurrent structure to learn composable, interpretable embeddings. We provide a theoretical analysis demonstrating that, under specific training objectives, our model's learned rep…

Performance of Gaussian Boson Sampling on Planted Bipartite Clique Detection
Yu-Zhen Janice Chen, Laurent Massouli\'e, Don Towsley
https://arxiv.org/abs/2510.12774 https://

Performance of Gaussian Boson Sampling on Planted Bipartite Clique Detection
We investigate whether Gaussian Boson Sampling (GBS) can provide a computational advantage for solving the planted biclique problem, which is a graph problem widely believed to be classically hard when the planted structure is small. Although GBS has been heuristically and experimentally observed to favor sampling dense subgraphs, its theoretical performance on this classically hard problem remains largely unexplored. We focus on a natural statistic derived from GBS output: the frequency with w…

Rings around irregular bodies I. Structure of the resonance mesh, applications to Chariklo, Haumea and Quaoar
Bruno Sicardy, Heikki Salo, Maryame El Moutamid, Stefan Renner, Damya Souami
https://arxiv.org/abs/2510.11249

Rings around irregular bodies I. Structure of the resonance mesh, applications to Chariklo, Haumea and Quaoar
Three ring systems have been discovered to date around small irregular objects of the solar system (Chariklo, Haumea and Quaoar). For the three bodies, material is observed near the second-order 1/3 Spin-Orbit Resonance (SOR) with the central object, and in the case of Quaoar, a ring is also observed near the second-order resonance 5/7 SOR. This suggests that second-order SORs may play a central role in ring confinement. This paper aims at better understanding this role from a theoretical point…

Semiclassical analytical solutions of the eigenstate thermalization hypothesis in a quantum billiard
Yaoqi Ye, Chengkai Lin, Xiao Wang
https://arxiv.org/abs/2510.12517 https://

Semiclassical analytical solutions of the eigenstate thermalization hypothesis in a quantum billiard
We derive semiclassical analytical solutions for both the diagonal and off-diagonal functions in the eigenstate thermalization hypothesis (ETH) in a quarter-stadium quantum billiard. For a representative observable, we obtain an explicit expression and an asymptotic closed-form solution that naturally separate into a local contribution and a phase-space correlation term. These analytical results predict the band structure of the observable matrix, including its bandwidth and scaling behavior. W…

Structure of quantum measurements implementable with one round of classical communication
Arthur C. R. Dutra, Ties-A. Ohst, Hai-Chau Nguyen, Otfried G\"uhne
https://arxiv.org/abs/2510.09381

Structure of quantum measurements implementable with one round of classical communication
Measurements that can be implemented via local operations and classical communication (LOCC) constitute a class of operations that is available in future quantum networks in which parties share entangled resource states. We characterise the different classes of measurements implementable with LOCC, where communication is restricted to a single round with a fixed direction. In particular, using the framework of constrained separability problems, we provide a complete characterisation of the clas…