Tootfinder

Concept Unlearning in Large Language Models via Self-Constructed Knowledge Triplets
Tomoya Yamashita, Yuuki Yamanaka, Masanori Yamada, Takayuki Miura, Toshiki Shibahara, Tomoharu Iwata
https://arxiv.org/abs/2509.15621

Concept Unlearning in Large Language Models via Self-Constructed Knowledge Triplets
Machine Unlearning (MU) has recently attracted considerable attention as a solution to privacy and copyright issues in large language models (LLMs). Existing MU methods aim to remove specific target sentences from an LLM while minimizing damage to unrelated knowledge. However, these approaches require explicit target sentences and do not support removing broader concepts, such as persons or events. To address this limitation, we introduce Concept Unlearning (CU) as a new requirement for LLM unl…

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

Exotic presentations of quaternion groups and Wall's D2 problem
Tommy Hofmann, John Nicholson
https://arxiv.org/abs/2507.15999 https://arxiv.org/pdf/25…

Exotic presentations of quaternion groups and Wall's D2 problem
The D2 problem of C. T. C. Wall asks whether every finite cohomologically 2-dimensional CW-complex is homotopy equivalent to a finite 2-complex. Several potential counterexamples have been proposed, the longest standing of which is a CW-complex constructed by Cohen and Dyer whose fundamental group is a quaternion group of order 32. We show that this CW-complex is homotopy equivalent to the presentation 2-complex of a presentation constructed by Mannan-Popiel, thus showing it is not a counterexa…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 585 nodes and 1755 edges.
Tags: Biological, Connectome, Weighted

Diffusion-Based Hypothesis Testing and Change-Point Detection
Sean Moushegian, Taposh Banerjee, Vahid Tarokh
https://arxiv.org/abs/2506.16089 https://

Diffusion-Based Hypothesis Testing and Change-Point Detection
Score-based methods have recently seen increasing popularity in modeling and generation. Methods have been constructed to perform hypothesis testing and change-point detection with score functions, but these methods are in general not as powerful as their likelihood-based peers. Recent works consider generalizing the score-based Fisher divergence into a diffusion-divergence by transforming score functions via multiplication with a matrix-valued function or a weight matrix. In this paper, we ext…

Identity and Quantify Various Dissipation Mechanisms of Josephson Junction in Superconducting Circuits
Hao Deng, Huijuan Zhan, Lijuan Hu, Hui-Hai Zhao, Ran Gao, Kannan Lu, Xizheng Ma, Zhijun Song, Fei Wang, Tenghui Wang, Feng Wu, Tian Xia, Gengyan Zhang, Xiaohang Zhang, Chunqing Deng
https://arxiv.org/abs/2508.15174

Identity and Quantify Various Dissipation Mechanisms of Josephson Junction in Superconducting Circuits
Pinpointing the dissipation mechanisms and evaluating their impacts to the performance of Josephson junction (JJ) are crucial for its application in superconducting circuits. In this work, we demonstrate the junction-embedded resonator (JER) as a platform which enables us to identify and quantify various dissipation mechanisms of JJ. JER is constructed by embedding JJ in the middle of an open-circuit, 1/2 λ transmission-line resonator. When the 1st and 2nd harmonics of JER are excited, JJ expe…

Mayer--Vietoris sequences for complexes of tori
Nguyen Manh Linh
https://arxiv.org/abs/2509.16056 https://arxiv.org/pdf/2509.16056

Mayer--Vietoris sequences for complexes of tori
In the patching setting, given a factorization inverse system of fields over which patching for finite-dimensional vector spaces holds, together with a crossed module over the inverse limit field, the corresponding six-term Mayer--Vietoris sequence is constructed, generalizing the classical result of Harbater--Hartmann--Krashen for linear algebraic groups. When the crossed module is a two-term complex of tori, the above sequence is extended into a nine-term exact sequence, notably without any a…

Novel duality-invariant theories of electrodynamics
\'Angel J. Murcia
https://arxiv.org/abs/2507.16502 https://arxiv.org/pdf/2507…

Novel duality-invariant theories of electrodynamics
We identify new families of duality-invariant theories of electrodynamics. We achieve this in two different ways. On the one hand, we present an algorithm to construct a one-parameter family of exactly duality-invariant theories from a single seed duality-invariant theory. If the seed theory is causal, the theories constructed from this method will also be causal when the parameter is non-negative. On the other hand, we find two additional novel families of duality-invariant theories which incl…

Spontaneous stochasticity in the Armstrong-Vicol passive scalar
Wandrille Ruffenach, Eric Simonnet, Nicolas Valade
https://arxiv.org/abs/2509.15683 https://

Spontaneous stochasticity in the Armstrong-Vicol passive scalar
Spontaneous stochasticity refers to the emergence of intrinsic randomness in deterministic systems under singular limits, a phenomenon conjectured to be fundamental in turbulence. Armstrong and Vicol recently constructed a deterministic, divergence-free multiscale vector field arbitrarily close to a weak Euler solution, proving that a passive scalar transported by this field exhibits anomalous dissipation and lacks a selection principle in the vanishing diffusivity limit. We show that this adve…

Phenomenological description of the $D^*_{s0}(2317)\to D_s\pi^0$ decay
N. N. Achasov, G. N. Shestakov
https://arxiv.org/abs/2508.15224 https://arxiv.org/pd…

Phenomenological description of the $D^*_{s0}(2317)\to D_sπ^0$ decay
For coupled channels $D^0K^+$, $D^+K^0$, $D_s^+η$, and $D_s^+π^0$, the $S$-wave scattering amplitudes are constructed taking into account the mixing of the isoscalar resonance $D^*_{s0}(2317)^+$ with nonresonance amplitudes with isospin $I=1$. The phenomenological approach we use allows us to quite simply clear up the general structure of the $D^*_{s0}(2317)^+\to D_s^+π^0$ decay amplitude violating isospin. We show that the phase of this amplitude coincides with the phase of the nonresonanct…

Systematic non-thermal velocity increase preceding soft X-ray flare onset
Andy S. H. To, Abigail Burden, Deborah Baker, Henrik Eklund, David H. Brooks, Laura A. Hayes, Juan Mart\'inez-Sykora, Paola Testa, Jeffrey Reep, Miho Janvier, Shinsuke Imada, Julio Hernandez Camero, David M. Long, Teodora Mihailescu, Micah J. Weberg
https://

Systematic non-thermal velocity increase preceding soft X-ray flare onset
Non-thermal velocities, derived from spectral line broadening, can provide crucial insights into plasma dynamics before and during solar flares. To systematically study the pre-flare phase, we constructed a Hinode/Extreme-ultraviolet Imaging Spectrometer (EIS) flare catalog of 1,449 flares from 2011-2024. This enabled a large-scale analysis of flare loop footpoint non-thermal velocity evolution across different flare magnitudes (C, M, X-classes). Analyzing Fe VIII - Fe XXIV emission lines forme…

Exponential decay of the discrete energy for the wave-wave coupled system
Toni Sayah, Toufic El Arwadi
https://arxiv.org/abs/2508.15514 https://arxiv.org/p…

Exponential decay of the discrete energy for the wave-wave coupled system
In this article, a numerical analysis of the asymptotic behavior of the discrete energy associated to a dissipative coupled wave system is conducted. The numerical approximation of the system is constructed using the P1 finite element method for spatial discretization, combined with the implicit Euler scheme for time integration. An a priori error analysis is established, showing that, under extra regularity assumptions on the continuous solution, the numerical scheme exhibits linear convergenc…

A Nash-Kuiper theorem for isometric immersions in a high codimension
Zhiwen Zhao
https://arxiv.org/abs/2507.15808 https://arxiv.org/p…

A Nash-Kuiper theorem for isometric immersions in a high codimension
This paper is devoted to investigating the isometric immersion problem of Riemannian manifolds in a high codimension. It has recently been demonstrated that any short immersion from an $n$-dimensional smooth compact manifold into $2n$-dimensional Euclidean space can be uniformly approximated by $C^{1,θ}$ isometric immersions with any $θ\in(0,1/(n+2))$ in dimensions $n\geq3$. In this paper, we improve the Hölder regularity of the constructed isometric immersions in the local setting, achievin…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 454 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs
Nicholas L. Bastian, Stephen P. Humphries
https://arxiv.org/abs/2509.16174 https://arxiv.o…

Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs
Terwilliger algebras are a subalgebra of a matrix algebra constructed from an association scheme. In 2010, Tanaka defined what it means for a Terwilliger algebra to be almost commutative and gave five equivalent conditions for a Terwilliger algebra to be almost commutative. In this paper we look at Terwilliger algebras coming from strong Gelfand pairs $(G,H)$ for a finite group $G$. From such a pair, one can create a Terwilliger algebra using the Schur ring of $H-$classes of elements of $G$. We…

Representation theory of the reflection equation algebra III: Classification of irreducible representations
Stephen T. Moore
https://arxiv.org/abs/2506.16866

Representation theory of the reflection equation algebra III: Classification of irreducible representations
We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the $R$-matrix associated to the $q$-deformation of $GL(N,\mathbb{C})$ for $0

Discipline and Resistance: The Construction of a Digital Home for TikTok Refugees on Xiaohongshu
Xiaoyu Xiong, Yuting Peng, Summer Kwong, Anqi Huang
https://arxiv.org/abs/2507.14465

Discipline and Resistance: The Construction of a Digital Home for TikTok Refugees on Xiaohongshu
This study examines how TikTok refugees moved to Xiaohongshu after TikTok was about to be banned in the United States. It utilizes Foucault's idea of heterotopia to demonstrate how Xiaohongshu became a crisis space for cross-cultural discussions across the Great Firewall. Through Critical Discourse Analysis of 586 user comments, the study reveals how Chinese and international users collaboratively constructed and contested a new online order through language negotiation, identity positioning, a…

Mixture-of-Expert Variational Autoencoders for Cross-Modality Embedding of Type Ia Supernova Data
Yunyi Shen, Alexander T. Gagliano
https://arxiv.org/abs/2507.16817

Mixture-of-Expert Variational Autoencoders for Cross-Modality Embedding of Type Ia Supernova Data
Time-domain astrophysics relies on heterogeneous and multi-modal data. Specialized models are often constructed to extract information from a single modality, but this approach ignores the wealth of cross-modality information that may be relevant for the tasks to which the model is applied. In this work, we propose a multi-modal, mixture-of-expert variational autoencoder to learn a joint embedding for supernova light curves and spectra. Our method, which is inspired by the Perceiver architectur…

MP-GCAN: a highly accurate classifier for $\alpha$-helical membrane proteins and $\beta$-barrel proteins
Kunyang Li, Hongfu Lou, Dinan Peng
https://arxiv.org/abs/2507.14269

MP-GCAN: a highly accurate classifier for $α$-helical membrane proteins and $β$-barrel proteins
Membrane protein classification is a fundamental task in structural bioinformatics, critical to understanding protein functions and accelerating drug discovery. In this study, we propose MP-GCAN, a novel graph-based classification model that leverages both spatial and sequential features of proteins. MP-GCAN combines GCN, GAT, and GIN layers to capture hierarchical structural representations from 3D protein graphs, constructed from high-resolution PDB files with $α$-carbon coordinates and resi…

Functional limit theorems for edge counts in dynamic random connection hypergraphs
Christian Hirsch, Benedikt Jahnel, P\'eter Juh\'asz
https://arxiv.org/abs/2507.16270

Functional limit theorems for edge counts in dynamic random connection hypergraphs
We introduce a dynamic random hypergraph model constructed from a bipartite graph. In this model, both vertex sets of the bipartite graph are generated by marked Poisson point processes. Vertices of both vertex sets are equipped with marks representing their weight that influence their connection radii. Additionally, we also assign the vertices of the first vertex set a birth-death process with exponential lifetimes and the vertices of the second vertex set a time instant representing the occur…

Brain Connectivity Network Structure Learning For Brain Disorder Diagnosis
Dongdong Chen, Linlin Yao, Mengjun Liu, Zhenrong Shen, Yuqi Hu, Zhiyun Song, Shengyu Lu, Qian Wang, Dinggang Shen, Lichi Zhang
https://arxiv.org/abs/2509.16735

Brain Connectivity Network Structure Learning For Brain Disorder Diagnosis
Recent studies in neuroscience highlight the significant potential of brain connectivity networks, which are commonly constructed from functional magnetic resonance imaging (fMRI) data for brain disorder diagnosis. Traditional brain connectivity networks are typically obtained using predefined methods that incorporate manually-set thresholds to estimate inter-regional relationships. However, such approaches often introduce redundant connections or overlook essential interactions, compromising t…

There are No Product and Subgroup Theorems for the Covering Dimension of Topological Groups
Ol'ga Sipacheva
https://arxiv.org/abs/2507.14889 https://…

There are No Product and Subgroup Theorems for the Covering Dimension of Topological Groups
Strongly zero-dimensional topological groups $G_1$, $G_2$, and $G$ such that $G_1\times G_2$ has positive covering dimension and $G$ contains a closed subgroup of positive covering dimension are constructed. Moreover, all finite powers of $G_1$ are Lindelöf and $G_2$ is second-countable. An example of a strongly zero-dimensional space $X$ whose free, free Abelian, and free Boolean topological groups have positive covering dimension is also given.

Volatility Spillovers and Interconnectedness in OPEC Oil Markets: A Network-Based log-ARCH Approach
Fay\c{c}al Djebari, Kahina Mehidi, Khelifa Mazouz, Philipp Otto
https://arxiv.org/abs/2507.15046

Volatility Spillovers and Interconnectedness in OPEC Oil Markets: A Network-Based log-ARCH Approach
This paper examines several network-based volatility models for oil prices, capturing spillovers among OPEC oil-exporting countries by embedding novel network structures into ARCH-type models. We apply a network-based log-ARCH framework that incorporates weight matrices derived from time-series clustering and model-implied distances into the conditional variance equation. These weight matrices are constructed from return data and standard multivariate GARCH model outputs (CCC, DCC, and GO-GARCH…

Magnetic Phase Diagrams of Antiferromagnet DyB12 with Jahn-Teller Lattice Instability and Electron Phase Separation
A. N. Azarevich, A. V. Bogach, K. M. Krasikov, V. V. Voronov, S. Yu. Gavrilkin, A. Yu. Tsvetkov, S. Gabani, K. Flachbart, N. E. Sluchanko
https://arxiv.org/abs/2507.15510

Magnetic Phase Diagrams of Antiferromagnet DyB12 with Jahn-Teller Lattice Instability and Electron Phase Separation
The origin of charge transport and magnetization anisotropy was studied in DyB12, an antiferromagnetic (AF) metal with Neel temperature TN = 16.3 K that exhibits both cooperative Jahn-Teller distortions of the fcc crystal structure and nanoscale electronic instabilities (dynamic charge stripes). Based on the results obtained the magnetic field (H) vs temperature (T) phase diagrams have been constructed. Moreover, from angle dependent magnetoresistance and magnetization measurements the butterfl…

add_health: Adolescent health (ADD HEALTH) (1994)
A directed network of friendships obtained through a social survey of high school students in 1994. The ADD HEALTH data are constructed from the in-school questionnaire; 90,118 students representing 84 communities took this survey in 1994-95. Some communities had only one school; others had two. Where there are two schools in a community students from one school were allowed to name friends in the other, the "sister school".…

Subjective Behaviors and Preferences in LLM: Language of Browsing
Sai Sundaresan, Harshita Chopra, Atanu R. Sinha, Koustava Goswami, Nagasai Saketh Naidu, Raghav Karan, N Anushka
https://arxiv.org/abs/2508.15474

Subjective Behaviors and Preferences in LLM: Language of Browsing
A Large Language Model (LLM) offers versatility across domains and tasks, purportedly benefiting users with a wide variety of behaviors and preferences. We question this perception about an LLM when users have inherently subjective behaviors and preferences, as seen in their ubiquitous and idiosyncratic browsing of websites or apps. The sequential behavior logs of pages, thus generated, form something akin to each user's self-constructed "language", albeit without the structure and grammar imbu…

A comparison between behavioral similarity methods vs standard deviation method in predicting time series dataset, case study of finance market
Mahdi Goldani
https://arxiv.org/abs/2507.16655

A comparison between behavioral similarity methods vs standard deviation method in predicting time series dataset, case study of finance market
In statistical modeling, prediction and explanation are two fundamental objectives. When the primary goal is forecasting, it is important to account for the inherent uncertainty associated with estimating unknown outcomes. Traditionally, confidence intervals constructed using standard deviations have served as a formal means to quantify this uncertainty and evaluate the closeness of predicted values to their true counterparts. This approach reflects an implicit aim to capture the behavioral sim…

GEN2: A Generative Prediction-Correction Framework for Long-time Emulations of Spatially-Resolved Climate Extremes
Mengze Wang, Benedikt Barthel Sorensen, Themistoklis Sapsis
https://arxiv.org/abs/2508.15196

GEN2: A Generative Prediction-Correction Framework for Long-time Emulations of Spatially-Resolved Climate Extremes
Accurately quantifying the increased risks of climate extremes requires generating large ensembles of climate realization across a wide range of emissions scenarios, which is computationally challenging for conventional Earth System Models. We propose GEN2, a generative prediction-correction framework for an efficient and accurate forecast of the extreme event statistics. The prediction step is constructed as a conditional Gaussian emulator, followed by a non-Gaussian machine-learning (ML) corr…

From GI Joe to NCIS to Hurt Locker to Hawaii Five-O to Transformers, so much of American entertainment is meticulously constructed Islamophobia.
And the rest is copaganda.
Who benefits from this? What are they mis-directing us from?
https://youtu.be/uZwuTI-V8SI?t=32

Humans learn to prefer trustworthy AI over human partners
Yaomin Jiang, Levin Brinkmann, Anne-Marie Nussberger, Ivan Soraperra, Jean-Fran\c{c}ois Bonnefon, Iyad Rahwan
https://arxiv.org/abs/2507.13524

Humans learn to prefer trustworthy AI over human partners
Partner selection is crucial for cooperation and hinges on communication. As artificial agents, especially those powered by large language models (LLMs), become more autonomous, intelligent, and persuasive, they compete with humans for partnerships. Yet little is known about how humans select between human and AI partners and adapt under AI-induced competition pressure. We constructed a communication-based partner selection game and examined the dynamics in hybrid mini-societies of humans and b…

Maxmum Size of a Uniform Family with Bounded VC-dimension
Tianchi Yang, Xingxing Yu
https://arxiv.org/abs/2508.14334 https://arxiv.org/pdf/2508.14334

Maxmum Size of a Uniform Family with Bounded VC-dimension
In 1984, Frankl and Pach proved that, for positive integers $n$ and $d$, the maximum size of a $(d+1)$-uniform set family $\mathcal{F}$ on an $n$-element set with VC-dimension at most $d$ is at most ${n\choose d}$; and they suspected that ${n\choose d}$ could be replaced by ${n-1\choose d}$, which would generalize the famous Erdős-Ko-Rado theorem and was mentioned by Erdős as Frankl--Pach conjecture. However, Ahlswede and Khachatrian in 1997 constructed $(d+1)$-uniform families on an $n$-elem…

Sound field estimation with moving microphones using kernel ridge regression
Jesper Brunnstr\"om, Martin Bo M{\o}ller, Jan {\O}stergaard, Shoichi Koyama, Toon van Waterschoot, Marc Moonen
https://arxiv.org/abs/2509.16358

Sound field estimation with moving microphones using kernel ridge regression
Sound field estimation with moving microphones can increase flexibility, decrease measurement time, and reduce equipment constraints compared to using stationary microphones. In this paper a sound field estimation method based on kernel ridge regression (KRR) is proposed for moving microphones. The proposed KRR method is constructed using a discrete time continuous space sound field model based on the discrete Fourier transform and the Herglotz wave function. The proposed method allows for the …

A mixture distribution approach for assessing genetic impact from twin study
Zonghui Hu, Pengfei Li, Dean Follmann, Jing Qin
https://arxiv.org/abs/2507.13605

A mixture distribution approach for assessing genetic impact from twin study
This work was motivated by a twin study with the goal of assessing the genetic control of immune traits. We propose a mixture bivariate distribution to model twin data where the underlying order within a pair is unclear. Though estimation from mixture distribution is usually subject to low convergence rate, the combined likelihood, which is constructed over monozygotic and dizygotic twins combined, reaches root-n consistency and allows effective statistical inference on the genetic impact. The …

Quasinormal Modes of a Massive Scalar Field in Slowly Rotating Einstein-Bumblebee Black Holes
Weike Deng, Wentao Liu, Fen Long, Kui Xiao, Jiliang Jing
https://arxiv.org/abs/2507.13978

Quasinormal Modes of a Massive Scalar Field in Slowly Rotating Einstein-Bumblebee Black Holes
In this study, we examine the impacts of black hole spin, Lorentz-violating parameter, and the scalar field's mass on quasinormal modes (QNMs) of rotating Einstein-Bumblebee black holes, including computations up to the second-order expansion in rotation parameters. We investigate two classes of Lorentz-violating rotating black holes: one constructed via the Newman-Janis algorithm and the other obtained by solving the field equations through a series expansion. Within the slow-rotation approxim…

Almost Commutative Terwilliger Algebras I: The Group Association Scheme
Nicholas L. Bastian, Stephen P. Humphries
https://arxiv.org/abs/2509.16147 https://…

Almost Commutative Terwilliger Algebras I: The Group Association Scheme
Terwilliger algebras are a subalgebra of a matrix algebra constructed from an association scheme. Rie Tanaka defined what it means for a Terwilliger algebra to be almost commutative and gave five equivalent conditions. In this paper we first determine an equivalent sixth condition for a Terwilliger algebra coming from a commutative Schur ring to be almost commutative. We then provide a classification of which finite groups result in an almost commutative Terwilliger algebra when looking at the …

Machine learning classification of black holes in the mass--spin diagram
Nathan Steinle, Samar Safi-Harb
https://arxiv.org/abs/2508.14316 https://arxiv.org…

Machine learning classification of black holes in the mass--spin diagram
We present the mass--spin diagram for classifying black holes and studying their formation pathways, providing an analogue to the Hertzsprung-Russell diagram. This allows for black hole evolutionary tracks as a function of redshift, combining formation, accretion, and merger histories for the variety of black hole populations. A realistic black hole continuum constructed from initial mass and spin functions and approximate redshift evolution reveals possible black hole main sequences, such as s…

Constructed Realities? Technical and Contextual Anomalies in a High-Profile Image
Matthias Wjst
https://arxiv.org/abs/2507.12237 https://

Constructed Realities? Technical and Contextual Anomalies in a High-Profile Image
This study offers a forensic assessment of a widely circulated photograph featuring Prince Andrew, Virginia Giuffre, and Ghislaine Maxwell - an image that has played a pivotal role in public discourse and legal narratives. Through analysis of multiple published versions, several inconsistencies are identified, including irregularities in lighting, posture, and physical interaction, which are more consistent with digital compositing than with an unaltered snapshot. While the absence of the origi…

Deep Learning for Short Term Equity Trend Forecasting: A Behavior Driven Multi Factor Approach
Yuqi Luan
https://arxiv.org/abs/2508.14656 https://arxiv.org…

Deep Learning for Short Term Equity Trend Forecasting: A Behavior Driven Multi Factor Approach
This study proposes a behaviorally-informed multi-factor stock selection framework that integrates short-cycle technical alpha signals with deep learning. We design a dual-task multilayer perceptron (MLP) that jointly predicts five-day future returns and directional price movements, thereby capturing nonlinear market behaviors such as volume-price divergence, momentum-driven herding, and bottom reversals. The model is trained on 40 carefully constructed factors derived from price-volume pattern…

More counterexamples to Lagrangian Poincar\'e recurrence in dimension four
Joel Schmitz
https://arxiv.org/abs/2507.13924 https://…

More counterexamples to Lagrangian Poincaré recurrence in dimension four
In earlier work, we constructed counterexamples to Lagrangian Poincaré recurrence for many toric symplectic four manifolds. Here we provide a few more examples extending the family of counterexamples to include all non-monotone toric symplectic four manifolds.

CAD-Driven Co-Design for Flight-Ready Jet-Powered Humanoids
Punith Reddy Vanteddu, Davide Gorbani, Giuseppe L'Erario, Hosameldin Awadalla Omer Mohamed, Fabio Bergonti, Daniele Pucci
https://arxiv.org/abs/2509.14935

CAD-Driven Co-Design for Flight-Ready Jet-Powered Humanoids
This paper presents a CAD-driven co-design framework for optimizing jet-powered aerial humanoid robots to execute dynamically constrained trajectories. Starting from the iRonCub-Mk3 model, a Design of Experiments (DoE) approach is used to generate 5,000 geometrically varied and mechanically feasible designs by modifying limb dimensions, jet interface geometry (e.g., angle and offset), and overall mass distribution. Each model is constructed through CAD assemblies to ensure structural validity a…

🧬 Need a new 3D material? Build it with DNA
#dna

Need a new 3D material? Build it with DNA
When the Empire State Building was constructed, its 102 stories rose above midtown one piece at a time, with each individual element combining to become, for 40 years, the world's tallest building. Uptown at Columbia, Oleg Gang and his chemical engineering lab aren't building Art Deco architecture; their landmarks are incredibly small devices built from nanoscopic building blocks that arrange themselves.

An Exploratory Study on Abstract Images and Visual Representations Learned from Them
Haotian Li, Jianbo Jiao
https://arxiv.org/abs/2509.14149 https://arxiv…

An Exploratory Study on Abstract Images and Visual Representations Learned from Them
Imagine living in a world composed solely of primitive shapes, could you still recognise familiar objects? Recent studies have shown that abstract images-constructed by primitive shapes-can indeed convey visual semantic information to deep learning models. However, representations obtained from such images often fall short compared to those derived from traditional raster images. In this paper, we study the reasons behind this performance gap and investigate how much high-level semantic content…

Zero-sum turn games using Q-learning: finite computation with security guarantees
Sean Anderson, Chris Darken, Jo\~ao Hespanha
https://arxiv.org/abs/2509.13585 https://

Zero-sum turn games using Q-learning: finite computation with security guarantees
This paper addresses zero-sum ``turn'' games, in which only one player can make decisions at each state. We show that pure saddle-point state-feedback policies for turn games can be constructed from dynamic programming fixed-point equations for a single value function or Q-function. These fixed-points can be constructed using a suitable form of Q-learning. For discounted costs, convergence of this form of Q-learning can be established using classical techniques. For undiscounted costs, we provi…

Invariant measures and shocks in the KPZ fixed point
Alexander Dunlap, Evan Sorensen
https://arxiv.org/abs/2508.15598 https://arxiv.org/pdf/2508.15598

Invariant measures and shocks in the KPZ fixed point
We construct a family of invariant measures from the perspective of a shock in the KPZ fixed point. These measures are parameterized by a positive number $θ> 0$, and are supported on functions $f$ satisfying $\lim_{|x| \to \infty} \frac{f(x)}{|x|} = 2θ$. Each can be described as the sum of a Brownian motion and an independent Bessel-$3$ process with drift. We show that these measures appear as the $L \to \infty$ limit of the measures constructed by Barraquand, Corwin, and …

Unraveling the Biomarker Prospects of High-Altitude Diseases: Insights from Biomolecular Event Network Constructed using Text Mining
Balu Bhasuran, Sabenabanu Abdulkadhar, Jeyakumar Natarajan
https://arxiv.org/abs/2507.10953

Unraveling the Biomarker Prospects of High-Altitude Diseases: Insights from Biomolecular Event Network Constructed using Text Mining
High-altitude diseases (HAD), encompassing acute mountain sickness (AMS), high-altitude cerebral edema (HACE), and high-altitude pulmonary edema (HAPE), are triggered by hypobaric hypoxia at elevations above 2,500 meters. These conditions pose significant health risks, yet the molecular mechanisms remain insufficiently understood. In this study, we developed a biomolecular event extraction pipeline integrating supervised machine learning with feature-based and multiscale Laplacian graph kernels…

Ground and low-lying excited state potential energy surfaces of diiodomethane in four dimensions
Yijue Ding
https://arxiv.org/abs/2508.14843 https://arxiv.…

Ground and low-lying excited state potential energy surfaces of diiodomethane in four dimensions
We report a set of adiabatic potential energy surfaces (PESs) for diiodomethane, including the ground electronic state and all excited states accessible via single-photon absorption near 260 nm. Although constrained to four dimensions, these PESs capture the essential photochemical processes following photoexcitation--namely, bond breaking and rearrangement among the methyl radical and the two iodine atoms. Constructed using an accurate and efficient spline interpolation algorithm, the PESs rep…

Quantifying mixed-state entanglement via partial transpose and realignment moments
Poetri Sonya Tarabunga, Tobias Haug
https://arxiv.org/abs/2507.13840 htt…

Quantifying mixed-state entanglement via partial transpose and realignment moments
Entanglement plays a crucial role in quantum information science and many-body physics, yet quantifying it in mixed quantum many-body systems has remained a notoriously difficult problem. Here, we introduce families of quantitative entanglement witnesses, constructed from partial transpose and realignment moments, which provide rigorous bounds on entanglement monotones. Our witnesses can be efficiently measured using SWAP tests or variants of Bell measurements, thus making them directly impleme…

So you need to get the version of Intel #MKL.
You can't really take it out of the pkg-config files, because not every distro mkl version combo supplies these files. On top of that, without pointing fingers, certain distribution installs pkg-config files with "debian" in the version field.
Well, there's INTEL_MKL_VERSION you can get via the C preprocessor, right? Except that its semantics depend… on mkl version. Given that mkl is released as "<major>.<update>.<patch>", versions prior to 2025.0.0 constructed the version number from <major> <minor> <update> (where <minor> seems to be always 0, and <patch> was not included), and 2025.0.0 forward use the more logical <major> <update> <patch>.
Well, yeah, it's kinda doable. You parse the major first, and parse the rest depending on whether it's >= 2025 or not. For versions prior to 2025, you get it truncated to update. It works, but still kinda funny.
#WTF

Moduli Space of SU(2) Singular Monopole
Sarang Shah
https://arxiv.org/abs/2507.13424 https://arxiv.org/pdf/2507.13424

Moduli Space of SU(2) Singular Monopole
The $SU(2)$ monopole with a Dirac singularity was constructed in Durcan (2007) and Cherkis and Durcan (2007). We study its moduli space by identifying the tangent direction to the moduli space. The tangent vectors to the moduli space are composed of the monopole's phase and translational zero modes. We construct the phase and translational zero modes using the Nahm transform. These zero modes are then used to construct the metric components $g_{00}$ and $g_{0q}$ of the $SU(2)$ singular monopole…

> As currently constructed, AI is an oligarchy-enriching, worker-immiserating, energy-depleting, brain-rotting economic bubble in waiting. Democrats can get on the public’s side here.
I haven't even read the article but (considering how strongly I agree with the premises here) I'm mostly just sad about how clearly this highlights the financial capture of the DNC
---
Democrats Must Oppose the AI Industry - The American Prospect

Democrats Must Oppose the AI Industry
As currently constructed, AI is an oligarchy-enriching, worker-immiserating, energy-depleting, brain-rotting economic bubble in waiting. Democrats can get on the public’s side here.

With Apache NiFi, a multimodal data pipelining tool, you can assemble existing and/or custom Java & Python processors into a variety of flows. At Berlin Buzzwords 2025, Lester Martin discussed how a rich data pipeline can be constructed from Kafka, stored using the Apache Iceberg table format and consumed from Trino.
Watch the full session: https://youtu.be/2yH9PfiXb9Y?si=Xhi_xDMzLQOps8my
Berlin Buzzwords returns on 7-9 June 2026! Get 36% off with our Trust Us Ticket: https://tickets.plainschwarz.com/bbuzz26/c/8Hvk0ZvJA/

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

Spatial variability of CH4 and C2H2 absorptions in Jupiter's auroral regions from Juno-UVS observations
J. Vinesse (Laboratory for Planetary and Atmospheric Physics, STAR Institute, University of Li\`ege), B. Bonfond (Laboratory for Planetary and Atmospheric Physics, STAR Institute, University of Li\`ege), B. Benmahi (Aix-Marseille Universit\'e, CNRS, CNES, Institut Origines, LAM, Laboratory for Planetary and Atmospheric Physics, STAR Institute, University of Li\`ege), A. Moira…

Spatial variability of CH4 and C2H2 absorptions in Jupiter's auroral regions from Juno-UVS observations
Color ratios derived from molecular hydrogen emissions provide valuable diagnostics for the energy of precipitating electrons and the structure of the auroral atmosphere. We aim to characterize the horizontal and vertical variability of hydrocarbon absorption in Jupiter's auroral atmosphere using ultraviolet data from the Juno-UVS spectrograph and to investigate potential departures from the expected structure. We constructed color ratio maps sensitive to CH$_4$ and C$_2$H$_2$ absorptions for p…

A diagrammatic approach to reflection functors
Haruto Murata
https://arxiv.org/abs/2506.17070 https://arxiv.org/pdf/2506.17070…

A diagrammatic approach to reflection functors
We construct reflection functors for quiver Hecke algebras associated with arbitrary symmetrizable Kac-Moody algebras, from a higher representation-theoretic viewpoint. These functors provide a categorification of Lusztig's braid group action on the quantum group. Similar functors were recently constructed independently by Kashiwara-Kim-Oh-Park via a different approach.

LLM4MG: Adapting Large Language Model for Multipath Generation via Synesthesia of Machines
Ziwei Huang, Shiliang Lu, Lu Bai, Xuesong Cai, Xiang Cheng
https://arxiv.org/abs/2509.14711

LLM4MG: Adapting Large Language Model for Multipath Generation via Synesthesia of Machines
Based on Synesthesia of Machines (SoM), a large language model (LLM) is adapted for multipath generation (LLM4MG) for the first time. Considering a typical sixth-generation (6G) vehicle-to-infrastructure (V2I) scenario, a new multi-modal sensing-communication dataset is constructed, named SynthSoM-V2I, including channel multipath information, millimeter wave (mmWave) radar sensory data, RGB-D images, and light detection and ranging (LiDAR) point clouds. Based on the SynthSoM-V2I dataset, the pr…

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…

TRACY: Benchmarking Execution Efficiency of LLM-Based Code Translation
Zhihao Gong, Zeyu Sun, Dong Huang, Qingyuan Liang, Jie M. Zhang, Dan Hao
https://arxiv.org/abs/2508.11468 …

TRACY: Benchmarking Execution Efficiency of LLM-Based Code Translation
Automatic code translation is a fundamental task in modern software development. While the advent of Large Language Models (LLMs) has significantly improved the correctness of code translation, the critical dimension of execution efficiency remains overlooked. To address this gap, we introduce TRACY, the first comprehensive benchmark designed to evaluate the execution efficiency of LLM-translated code. TRACY is constructed through an LLM-driven two-stage pipeline: an initial stage generates a s…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 575 nodes and 5306 edges.
Tags: Biological, Connectome, Weighted

Basis Construction for Spline Spaces over Arbitrary Partitions from a Dimensional Stable Perspective
Bingru Huang, Falai Chen
https://arxiv.org/abs/2508.14649 https://

Basis Construction for Spline Spaces over Arbitrary Partitions from a Dimensional Stable Perspective
This paper introduces a novel framework for constructing $C^r$ basis functions for polynomial spline spaces of degree $d$ over arbitrary planar polygonal partitions, overturning the belief that basis functions cannot be constructed on dimensionally unstable meshes. We provide a comprehensive comparison of basis construction methods, classifying them as explicit, semi-explicit, and implicit. Our method, a semi-explicit construction using Extended Edge Elimination conditions, uniquely resolves al…

Jags QB Trevor Lawrence: 'I need to really turn it on' https://www.nfl.com/news/jags-qb-trevor-lawrence-i-need-to-really-turn-it-on

QKD Oracles for Authenticated Key Exchange
Kathrin H\"ovelmanns, Daan Planken, Christian Schaffner, Sebastian R. Verschoor
https://arxiv.org/abs/2509.12478 https://

QKD Oracles for Authenticated Key Exchange
Authenticated Key Exchange (AKE) establishes shared ('symmetric') cryptographic keys which are essential for secure online communication. AKE protocols can be constructed from public-key cryptography like Key Encapsulation Mechanisms (KEMs). Another approach is to use Quantum Key Distribution (QKD) to establish a symmetric key, which uses quantum communication. Combining post-quantum AKE and QKD appropriately may provide security against quantum attacks even if only one of the two approaches tu…

A Computational Approach to Analyzing Language Change and Variation in the Constructed Language Toki Pona
Daniel Huang, Hyoun-A Joo
https://arxiv.org/abs/2508.10246 https://

A Computational Approach to Analyzing Language Change and Variation in the Constructed Language Toki Pona
This study explores language change and variation in Toki Pona, a constructed language with approximately 120 core words. Taking a computational and corpus-based approach, the study examines features including fluid word classes and transitivity in order to examine (1) changes in preferences of content words for different syntactic positions over time and (2) variation in usage across different corpora. The results suggest that sociolinguistic factors influence Toki Pona in the same way as natu…

Symmetric powers of $S^{(n-1,1)}$ and $D^{(n-1,1)}$
Pavel Turek, Jialin Wang
https://arxiv.org/abs/2507.15505 https://arxiv.org/pdf/2…

Symmetric powers of $S^{(n-1,1)}$ and $D^{(n-1,1)}$
Let $p$ be a prime and $n\geq 2$ be a positive integer. We establish new formulae for the decompositions of the first $p-1$ symmetric powers of the Specht module $S^{(n-1,1)}$ and the irreducible module $D^{(n-1,1)}$ in characteristic $p$ as direct sums of Young permutation modules. As an application of the formulae, we show that these symmetric powers have Specht filtration and find the vertices of their indecomposable summands. Our main tool, constructed in this paper, is a lift of a splittin…

White Aggregation and Restoration for Few-shot 3D Point Cloud Semantic Segmentation
Jiyun Im, SuBeen Lee, Miso Lee, Jae-Pil Heo
https://arxiv.org/abs/2509.13907 https://

White Aggregation and Restoration for Few-shot 3D Point Cloud Semantic Segmentation
Few-Shot 3D Point Cloud Segmentation (FS-PCS) aims to predict per-point labels for an unlabeled point cloud, given only a few labeled examples. To extract discriminative representations from the limited support set, existing methods have constructed prototypes using conventional algorithms such as farthest point sampling. However, we point out that its initial randomness significantly affects FS-PCS performance and that the prototype generation process remains underexplored despite its prevalen…

The square-integrability of double descent
Nozomi Ito
https://arxiv.org/abs/2508.12489 https://arxiv.org/pdf/2508.12489

The square-integrability of double descent
Double descent is a method to construct automorphic representations of classical groups. For given A-parameter $ψ$ with certain good properties, double descent constructs a space of functions orthogonal to any cuspidal representation whose A-parameter is not $ψ$ and not orthogonal to any cuspidal representation with A-parameter $ψ$. In this paper, we show that functions constructed by double descent are always square-integrable.

Exact ground state on the 3D analogue of the Shastry-Sutherland model
Kelvin Salou-Smith, Arnaud Ralko, Ludovic D. C. Jaubert
https://arxiv.org/abs/2507.13877

Exact ground state on the 3D analogue of the Shastry-Sutherland model
Exact results in frustrated quantum many-body systems are rare, especially in dimensions higher than one. The Shastry-Sutherland (SS) model stands out as a rare example of a two-dimensional spin system with an exactly solvable dimer singlet ground state. In this work, we introduce a three-dimensional analogue of the SS lattice, constructed by deforming the pyrochlore lattice to preserve the local SS geometry. Despite the dimensional increase and altered topology, the ground-state phase diagrams…

Thermodynamic topology of Einstein-Maxwell-Dilaton Theories
H. Babaei-Aghbolagh, Habib Esmaili, Song He, Hosein Mohammadzadeh
https://arxiv.org/abs/2508.14453 https://

Thermodynamic topology of Einstein-Maxwell-Dilaton Theories
We present a systematic investigation of the thermodynamic topology for a broad class of asymptotically charged Anti-de Sitter (AdS) black holes in Einstein-Maxwell-Dilaton (EMD) theories, examining how scalar coupling parameters and spacetime dimensions influence black hole thermodynamics. Employing a topological approach that utilizes the torsion number of vector fields constructed from the generalized free energy, we characterize black hole states as topological defects within the thermodyna…

Random Unitaries in Constant (Quantum) Time
Ben Foxman, Natalie Parham, Francisca Vasconcelos, Henry Yuen
https://arxiv.org/abs/2508.11487 https://arxiv.or…

Random Unitaries in Constant (Quantum) Time
Random unitaries are a central object of study in quantum information, with applications to quantum computation, quantum many-body physics, and quantum cryptography. Recent work has constructed unitary designs and pseudorandom unitaries (PRUs) using $Θ(\log \log n)$-depth unitary circuits with two-qubit gates. In this work, we show that unitary designs and PRUs can be efficiently constructed in several well-studied models of $\textit{constant-time}$ quantum computation (i.e., the time comple…

QCD Sum Rule Study of the Tensor $\Delta^0\Delta^0$ Dibaryon State
M. Ahmadi, H. Mohseni, K. Azizi
https://arxiv.org/abs/2508.12105 https://arxiv.org/pdf/2…

QCD Sum Rule Study of the Tensor $Δ^0Δ^0$ Dibaryon State
We study the exotic $Δ^{0}Δ^{0}$ dibaryon state with quantum numbers $J^{P} = 2^{+}$ within the framework of QCD sum rules. A tensor interpolating current is constructed to determine the mass and residue of this state, including explicit calculations of contributions from quark, gluon, and mixed vacuum condensates up to dimension nine. The numerical analysis yields a mass of $m_{Δ^{0}Δ^{0}} = 2426^{+101}_{-108}~\mathrm{MeV}$ and a residue of $f_{Δ^{0}Δ^{0}} = \left( 2.30^{+0.49}_{-0.45} \…

Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data
Giuseppe Gaetano Luciano, Andronikos Paliathanasis
https://arxiv.org/abs/2508.13260

Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data
A generalized mass-to-horizon entropy has recently been proposed as an extension of the Bekenstein-Hawking area law, derived from a modified mass-horizon relation constructed to ensure consistency with the Clausius equation. Within the gravity-thermodynamics conjecture, this entropy formulation yields modified Friedmann equations, which recover the standard $Λ$CDM cosmology in the appropriate limit of the model's two free parameters. In the present study, we constrain this framework using obse…

SEG-Parking: Towards Safe, Efficient, and Generalizable Autonomous Parking via End-to-End Offline Reinforcement Learning
Zewei Yang, Zengqi Peng, Jun Ma
https://arxiv.org/abs/2509.13956

SEG-Parking: Towards Safe, Efficient, and Generalizable Autonomous Parking via End-to-End Offline Reinforcement Learning
Autonomous parking is a critical component for achieving safe and efficient urban autonomous driving. However, unstructured environments and dynamic interactions pose significant challenges to autonomous parking tasks. To address this problem, we propose SEG-Parking, a novel end-to-end offline reinforcement learning (RL) framework to achieve interaction-aware autonomous parking. Notably, a specialized parking dataset is constructed for parking scenarios, which include those without interference…

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

Type IIb Supernova Progenitors in 3D: Variability and Episodic Mass Loss revealed by Radiation-Hydrodynamics Simulations
Jared A. Goldberg, Yan-Fei Jiang, Lars Bildsten, Matteo Cantiello
https://arxiv.org/abs/2508.12486

Type IIb Supernova Progenitors in 3D: Variability and Episodic Mass Loss revealed by Radiation-Hydrodynamics Simulations
We present the first 3D Radiation-Hydrodynamics simulations of partially-stripped ($M_\mathrm{core}\sim10M_\odot$, $M_\mathrm{env}\sim0.1-1M_\odot$) Yellow Supergiant ($L\sim10^5$, $T_\mathrm{eff}\approx5000-8000$K) envelopes, constructed with Athena++. These envelope models represent the progenitors of Type IIb supernovae (SNe-IIb), which have lost a substantial fraction of their H-rich envelope before undergoing core-collapse. The luminosity-to-mass ratio is high in these extended envelopes, …

Tian--Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces
Rafe Mazzeo, Xuwen Zhu
https://arxiv.org/abs/2509.15175 https://arxiv.org/pdf/2509.1…

Tian--Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces
We study the natural geometric elliptic operators on a class of complete Riemannian manifolds which include the 4-dimensional ALH* gravitational instantons and their higher dimensional Calabi-Yau analogues asymptotic to the model Calabi Ansatz metrics. Some of these were initially constructed by Tian and Yau, later by Hein and most recently by Y. Chen, and we call these Tian-Yau spaces. They have played an important role in the degeneration theory of K3 metrics, cf. Hein-Sun-Viaclosky-Zhang and…

From Ground Trust to Truth: Disparities in Offensive Language Judgments on Contemporary Korean Political Discourse
Seunguk Yu, Jungmin Yun, Jinhee Jang, Youngbin Kim
https://arxiv.org/abs/2509.14712

From Ground Trust to Truth: Disparities in Offensive Language Judgments on Contemporary Korean Political Discourse
Although offensive language continually evolves over time, even recent studies using LLMs have predominantly relied on outdated datasets and rarely evaluated the generalization ability on unseen texts. In this study, we constructed a large-scale dataset of contemporary political discourse and employed three refined judgments in the absence of ground truth. Each judgment reflects a representative offensive language detection method and is carefully designed for optimal conditions. We identified …

Matrix Control Barrier Functions
Pio Ong, Yicheng Xu, Ryan M. Bena, Faryar Jabbari, Aaron D. Ames
https://arxiv.org/abs/2508.11795 https://arxiv.org/pdf/25…

Matrix Control Barrier Functions
This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and indefinite. Matrix inequalities can be used to describe a richer class of safe sets, including nonsmooth ones. The safety filters constructed from our proposed matrix control barrier functions via semidefinite programming (CBF-SDP) are shown to be continuous. O…

A perfect matching reciprocity method for embedding multiple hypercubes in an augmented cube: Applications to Hamiltonian decomposition and fault-tolerant Hamiltonicity
Da-Wei Yang, Hongyang Zhang, Rong-Xia Hao, Sun-Yuan Hsieh
https://arxiv.org/abs/2507.12834

A perfect matching reciprocity method for embedding multiple hypercubes in an augmented cube: Applications to Hamiltonian decomposition and fault-tolerant Hamiltonicity
This paper focuses on the embeddability of hypercubes in an important class of Cayley graphs, known as augmented cubes. An $n$-dimensional augmented cube $AQ_n$ is constructed by augmenting the $n$-dimensional hypercube $Q_n$ with additional edges, thus making $Q_n$ a spanning subgraph of $AQ_n$. Dong and Wang (2019) first posed the problem of determining the number of $Q_n$-isomorphic subgraphs in $AQ_n$, which still remains open. By exploiting the Cayley properties of $AQ_n$, we establish a l…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 453 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

Triple-strangeness hidden-charm pentaquarks
Samson Clymton, Hyun-Chul Kim, Terry Mart
https://arxiv.org/abs/2508.12293 https://arxiv.org/pdf/2508.12293

Triple-strangeness hidden-charm pentaquarks
We investigate the possible existence of triple-strangeness hidden-charm pentaquark states in the off-shell coupled-channel formalism. The open-charm meson-baryon $\bar{D}_sΩ_c$, $\bar{D}_sΩ_c^*$, $\bar{D}_s^*Ω_c$, and $\bar{D}_s^*Ω_c^*$ channels are considered, together with the hidden-charm $J/ψΩ$ channel. The two-body kernel Feynman amplitudes are constructed from an effective Lagrangian based on hidden local symmetry and heavy-quark spin symmetry. The coupled Blankenbecler-Sugar equat…

Excitation Gaps of Ground and Excited State Energy of the Fermi-Hubbard Model Using Variational Quantum Eigensolver
Mrinal Dev, Bikash K. Behera, Vivek Vyas, Prasanta K. Panigrahi
https://arxiv.org/abs/2508.12307

Excitation Gaps of Ground and Excited State Energy of the Fermi-Hubbard Model Using Variational Quantum Eigensolver
The Hubbard model is a challenging quantum many-body problem and serves as a benchmark for quantum computing research. Accurate computation of its ground and excited state energies is essential for understanding correlated electron systems. In this study, the ground, first, and second excited state energies of 4$\times$1 and 2$\times$2 Hubbard lattices are obtained using a newly designed ansatz circuit. The ansatz is constructed by combining concepts from the Hamiltonian Variational Ansatz (HVA…

Entanglement harvesting and curvature of entanglement: A modular operator approach
Rupak Chatterjee
https://arxiv.org/abs/2508.12497 https://arxiv.org/pdf/…

Entanglement harvesting and curvature of entanglement: A modular operator approach
An operator-algebraic framework based on Tomita-Takesaki modular theory is used to study aspects of quantum entanglement via the application of the modular conjugation operator $J$. The entanglement structure of quantum fields is studied through the protocol of entanglement harvesting whereby by quantum correlations evolve through the time evolution of qubit detectors coupled to a Bosonic field. Modular conjugation operators are constructed for Unruh-Dewitt type qubits interacting with a scalar…

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis
Gourab Pathak, Mrinal Kumar Das
https://arxiv.org/abs/2508.13578 …

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis
We study a neutrino mass model with Froggatt-Nielsen (FN) like modular symmetry. The FN mechanism requires an additional gauge symmetry, $U(1)_{FN}$, which is spontaneously broken at high energies. But in this work, we do not need an extra symmetry as modular weights play the role of the FN charges of the additional $U(1)_{FN}$ symmetry. We have constructed a neutrino mass model using FN-like modular symmetry in the $T'$ group. This model can accommodate neutrino oscillation parameters and also…

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

Basis construction for polynomial spline spaces over arbitrary T-meshe
Shicong Zhong, Falai Chen, Bingru Huang
https://arxiv.org/abs/2508.12950 https://arx…

Basis construction for polynomial spline spaces over arbitrary T-meshe
This paper presents the first method for constructing bases for polynomial spline spaces over an arbitrary T-meshes (PT-splines for short). We construct spline basis functions for an arbitrary T-mesh by first converting the T-mesh into a diagonalizable one via edge extension, ensuring a stable dimension of the spline space. Basis functions over the diagoalizable T-mesh are constructed according to the three components in the dimension formula corresponding to cross-cuts, rays, and T $l$-edges i…

Roles of $\bar{D}^{*}K^{*}$ and $D^*\bar{D}$ molecular sates in decay $B^ \to D^{* } D^- K^ $
Zuo-Ming Ding, Qi Huang, Jun He
https://arxiv.org/abs/2508.12686 https://

Roles of $\bar{D}^{*}K^{*}$ and $D^*\bar{D}$ molecular sates in decay $B^+ \to D^{*+} D^- K^+$
This study investigates the three-body decay process $B^+ \to D^{*+} D^- K^+$, aiming to explore the possible origins of $T^*_{\bar{c}\bar{s}0}(2870)^0$ and $χ_{c1}(3872)$ as intermediate states. Within the molecular state framework, $T^*_{\bar{c}\bar{s}0}(2870)^0$ and $χ_{c1}(3872)$ are considered as possible $\bar{D}^{*}K^{}$ and $D^*\bar{D}$ molecular states, respectively. Using effective Lagrangians, the interaction kernels of the $\bar{D}^{*}K^{*}$ and $D^*\bar{D}$ systems are constructe…

add_health: Adolescent health (ADD HEALTH) (1994)
A directed network of friendships obtained through a social survey of high school students in 1994. The ADD HEALTH data are constructed from the in-school questionnaire; 90,118 students representing 84 communities took this survey in 1994-95. Some communities had only one school; others had two. Where there are two schools in a community students from one school were allowed to name friends in the other, the "sister school".…

ToxiFrench: Benchmarking and Enhancing Language Models via CoT Fine-Tuning for French Toxicity Detection
Axel Delaval, Shujian Yang, Haicheng Wang, Han Qiu, Jialiang Lu
https://arxiv.org/abs/2508.11281

ToxiFrench: Benchmarking and Enhancing Language Models via CoT Fine-Tuning for French Toxicity Detection
Detecting toxic content using language models is crucial yet challenging. While substantial progress has been made in English, toxicity detection in French remains underdeveloped, primarily due to the lack of culturally relevant, large-scale datasets. In this work, we introduce TOXIFRENCH, a new public benchmark of 53,622 French online comments, constructed via a semi-automated annotation pipeline that reduces manual labeling to only 10% through high-confidence LLM-based pre-annotation and huma…

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…

Feedback Indicators: The Alignment between Llama and a Teacher in Language Learning
Sylvio R\"udian, Yassin Elsir, Marvin Kretschmer, Sabine Cayrou, Niels Pinkwart
https://arxiv.org/abs/2508.11364

Feedback Indicators: The Alignment between Llama and a Teacher in Language Learning
Automated feedback generation has the potential to enhance students' learning progress by providing timely and targeted feedback. Moreover, it can assist teachers in optimizing their time, allowing them to focus on more strategic and personalized aspects of teaching. To generate high-quality, information-rich formative feedback, it is essential first to extract relevant indicators, as these serve as the foundation upon which the feedback is constructed. Teachers often employ feedback criteria g…

Designing Shadow Tomography Protocols by Natural Language Processing
Yadong Wu, Pengfei Zhang, Ce Wang, Juan Yao, Yi-Zhuang You
https://arxiv.org/abs/2509.12782 https://

Designing Shadow Tomography Protocols by Natural Language Processing
Quantum circuits form a foundational framework in quantum science, enabling the description, analysis, and implementation of quantum computations. However, designing efficient circuits, typically constructed from single- and two-qubit gates, remains a major challenge for specific computational tasks. In this work, we introduce a novel artificial intelligence-driven protocol for quantum circuit design, benchmarked using shadow tomography for efficient quantum state readout. Inspired by technique…

Lepton models from non-holomorphic $A^{\prime}_{5}$ modular flavor symmetry
Cai-Chang Li, Gui-Jun Ding
https://arxiv.org/abs/2509.15183 https://arxiv.org/p…

Lepton models from non-holomorphic $A^{\prime}_{5}$ modular flavor symmetry
In the framework of non-holomorphic modular invariance approach, we have systematically constructed all minimal lepton models based on the non-holomorphic $A^{\prime}_{5}$ modular symmetry from a bottom-up approach. In these models, the Yukawa couplings are described by polyharmonic Maaß forms of integer weights at level $N=5$. Under the assumption of Majorana neutrinos, both the Weinberg operator and the type-I seesaw mechanism are considered for neutrino mass generation. All minimal models a…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 454 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

Explicit construction of the energy-momentum tensor in the large N limit
Carlo Pagani, Hidenori Sonoda
https://arxiv.org/abs/2508.11506 https://arxiv.org/p…

Explicit construction of the energy-momentum tensor in the large N limit
We construct the energy-momentum tensor of the O(N) linear sigma model explicitly in the large N limit. Our guiding principles behind the construction are twofold: first the energy-momentum tensor must satisfy the Ward identity for translation and rotation invariance, and second the energy-momentum tensor must have proper cutoff dependence as a composite operator. We verify that the energy-momentum tensor thus constructed satisfies the expected trace formula, and that the trace vanishes at the …

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 585 nodes and 1755 edges.
Tags: Biological, Connectome, Weighted

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 575 nodes and 5306 edges.
Tags: Biological, Connectome, Weighted

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 453 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 514 nodes and 3531 edges.
Tags: Biological, Connectome, Weighted