Tootfinder

Cognitive Structure Generation: From Educational Priors to Policy Optimization
Hengnian Gu, Zhifu Chen, Yuxin Chen, Jin Peng Zhou, Dongdai Zhou
https://arxiv.org/abs/2508.12647 …

Cognitive Structure Generation: From Educational Priors to Policy Optimization
Cognitive structure is a student's subjective organization of an objective knowledge system, reflected in the psychological construction of concepts and their relations. However, cognitive structure assessment remains a long-standing challenge in student modeling and psychometrics, persisting as a foundational yet largely unassessable concept in educational practice. This paper introduces a novel framework, Cognitive Structure Generation (CSG), in which we first pretrain a Cognitive Structure D…

DREAMS: Preserving both Local and Global Structure in Dimensionality Reduction
No\"el Kury, Dmitry Kobak, Sebastian Damrich
https://arxiv.org/abs/2508.13747 https://…

DREAMS: Preserving both Local and Global Structure in Dimensionality Reduction
Dimensionality reduction techniques are widely used for visualizing high-dimensional data in two dimensions. Existing methods are typically designed to preserve either local (e.g. $t$-SNE, UMAP) or global (e.g. MDS, PCA) structure of the data, but none of the established methods can represent both aspects well. In this paper, we present DREAMS (Dimensionality Reduction Enhanced Across Multiple Scales), a method that combines the local structure preservation of $t$-SNE with the global structure …

Configured spaces and their M\"obius polynomials
Samy Abbes
https://arxiv.org/abs/2508.12795 https://arxiv.org/pdf/2508.12795

Configured spaces and their Möbius polynomials
An arbitrary dependence structure between a finite family of events of a probability space defines a hypergraph structure. We study the converse operation, starting from a hypergraph structure, to determine a canonical probability space with events indexed by the vertices and that satisfy the prescribed dependence structure; we also require that events that are not mutually independent must be mutually exclusive. Such a hypergraph structure, we call a configuration. Requiring furthermore that…

Source: OpenAI is changing ChatGPT Enterprise's pricing structure to include a credits system, moving from a fixed price, to give companies more leeway (Kimberley Kao/Wall Street Journal)
https://www.wsj.com/…

Classical r-matrix structure for elliptic Ruijsenaars chain and 1 1 field analogue of Ruijsenaars-Schneider model
D. Murinov, A. Zotov
https://arxiv.org/abs/2508.12656 https://

Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model
The classical dynamical $r$-matrix structure for the periodic elliptic Ruijsenaars chain is described. The Poisson brackets for the monodromy matrix are calculated as well, thus providing Liouville integrability of the model. Next, we study its continuous non-relativistic limit and reproduce the Maillet type non-ultralocal $r$-matrix structure for the field analogue of the elliptic Calogero-Moser model.

ToxiEval-ZKP: A Structure-Private Verification Framework for Molecular Toxicity Repair Tasks
Fei Lin, Tengchao Zhang, Ziyang Gong, Fei-Yue Wang
https://arxiv.org/abs/2508.12035 …

ToxiEval-ZKP: A Structure-Private Verification Framework for Molecular Toxicity Repair Tasks
In recent years, generative artificial intelligence (GenAI) has demonstrated remarkable capabilities in high-stakes domains such as molecular science. However, challenges related to the verifiability and structural privacy of its outputs remain largely unresolved. This paper focuses on the task of molecular toxicity repair. It proposes a structure-private verification framework - ToxiEval-ZKP - which, for the first time, introduces zero-knowledge proof (ZKP) mechanisms into the evaluation proce…

Poisson structure on character varieties. II
Indranil Biswas, Lisa C. Jeffrey
https://arxiv.org/abs/2508.13854 https://arxiv.org/pdf/2508.13854

Poisson structure on character varieties. II
Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving.

Structure In The Heterotic Matter Field Kahler Potential
James Gray
https://arxiv.org/abs/2508.13292 https://arxiv.org/pdf/2508.13292

Structure In The Heterotic Matter Field Kahler Potential
It has long been known that superpotential couplings in heterotic theories often vanish despite the absence of any known symmetry that would forbid them. We show that such structure is also exhibited by the matter field Kahler potential of these compactifications. We give an analytical analysis which provides some simple conditions under which certain terms, which would be expected to be present in the Kahler potential, vanish. Explicit examples of this phenomenon are provided, some of which ar…

Excitation Amplitude Sampling for Low Variance Electronic Structure on Quantum Computers
Connor Lenihan, Oliver J. Backhouse, Tom W. A. Montgomery, Phalgun Lolur, M. J. Bhaseen, George H. Booth
https://arxiv.org/abs/2506.15438

Excitation Amplitude Sampling for Low Variance Electronic Structure on Quantum Computers
We combine classical heuristics with partial shadow tomography to enable efficient protocols for extracting information from correlated ab initio electronic systems encoded on quantum devices. By proposing the use of a correlation energy functional and sampling of a polynomial set of excitation amplitudes of the quantum state, we can demonstrate an almost two order of magnitude reduction in required number of shots for a given statistical error in the energy estimate, as well as observing a lin…

The Hidden Role of Anisotropies in Shaping Structure Formation in Cosmological N-Body Simulations
Francesco Sylos Labini
https://arxiv.org/abs/2508.13765 https://

The Hidden Role of Anisotropies in Shaping Structure Formation in Cosmological N-Body Simulations
Initial conditions in cosmological $N$-body simulations are typically generated by displacing particles from a regular cubic lattice using a correlated field derived from the linear power spectrum, often via the Zel'dovich approximation. While this procedure reproduces the target two-point statistics (e.g., the power spectrum or correlation function), it introduces subtle anisotropies due to the underlying lattice structure. These anisotropies, invisible to angle-averaged diagnostics, become ev…

internet_as: Internet AS graph (2006)
A symmetrized snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from BGP tables posted by the University of Oregon Route Views Project. This snapshot was created on 22 July 2006.
This network has 22963 nodes and 48436 edges.
Tags: Technological, Communication, Unweighted

Urban Living III - Secrecy 🙊
都市生活 III - 秘密 🙊
📷 Nikon FE
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

On the Modern Structure of the Gauss-Landau Theorem
Manuel M. Aguilera
https://arxiv.org/abs/2506.15101 https://arxiv.org/pdf/2506.15…

On the Modern Structure of the Gauss-Landau Theorem
We formalize the Gauss-Landau theorem, providing a unified prime factorization approach to computing the GCD and LCM of finite nonzero integer sets. Although commonly used as a heuristic or technique in elementary number theory education, these theorems have not been explicitly formalized or named in the literature. This formalization aims to enhance understanding and facilitate adoption in mathematical instruction and research.

ABC: Adaptive BayesNet Structure Learning for Computational Scalable Multi-task Image Compression
Yufeng Zhang, Wenrui Dai, Hang Yu, Shizhan Liu, Junhui Hou, Jianguo Li, Weiyao Lin
https://arxiv.org/abs/2506.15228

ABC: Adaptive BayesNet Structure Learning for Computational Scalable Multi-task Image Compression
Neural Image Compression (NIC) has revolutionized image compression with its superior rate-distortion performance and multi-task capabilities, supporting both human visual perception and machine vision tasks. However, its widespread adoption is hindered by substantial computational demands. While existing approaches attempt to address this challenge through module-specific optimizations or pre-defined complexity levels, they lack comprehensive control over computational complexity. We present A…

On the Structure of Busemann Spaces with Non-Negative Curvature
Bang-Xian Han, Liming Yin
https://arxiv.org/abs/2508.12348 https://arxiv.org/pdf/2508.12348…

On the Structure of Busemann Spaces with Non-Negative Curvature
We extend the structure theory of Burago--Gromov--Perelman for Alexandrov spaces with curvature bounded below, to the setting of Busemann spaces with non-negative curvature. We prove that any finite-dimensional Busemann space with non-negative curvature satisfying Ohta's $S$-concavity and local semi-convexity, admits a non-trivial integer-dimensional Hausdorff measure, and satisfies the measure contraction property. We also show that such spaces are rectifiable and that almost every point admit…

Structure of hypernucleus $_{\Lambda}^{7}$Li within microscopic three-cluster model
N. K. Kalzhigitov, S. Amangeldinova, V. S. Vasilevsky
https://arxiv.org/abs/2508.13702 https:…

Structure of hypernucleus $_Λ^{7}$Li within microscopic three-cluster model
The structure of bound and resonance states of the hypernucleus $_Λ^{7}$Li is studied within a three-cluster model. This nucleus is considered a three-cluster structure consisting of $^{4}$He, a deuteron, and a lambda hyperon. The chosen three-cluster configuration allows us to describe more accurately the structure of hypernucleus $_Λ^{7}$Li and the dynamics of different processes that involve interactions of lightest nuclei and hypernuclei. The main goal of the present investigations is to …

At the park with the kid.
Playground looks like it was semi recently pressure washed but this little guy hung on in a corner.
#LichenSubscribe

Magnetic and Mossbauer studies of Ca$_x$Zn$_{1-x}$Fe$_2$O$_4$ nanoferrites
Kemi Y. Adewale, Itegbeyogene P. Ezekiel
https://arxiv.org/abs/2508.13202 https://

Magnetic and Mossbauer studies of Ca$_x$Zn$_{1-x}$Fe$_2$O$_4$ nanoferrites
A one-step synthesis of Ca$_x$Zn$_{1-x}$Fe$_2$O$_4$ (x=0, 0.5 and 1) nanoferrites and nanocomposites by the glycol-thermal method is reported. The structural, morphological and magnetic properties were studied using XRD, HRTEM, HRSEM, Mossbauer spectroscopy and VSM. The XRD patterns show a single phase cubic spinel structure for x=0. A composite phase of a spinel and hematite-like structure was observed for x=0.5, and for x=1, CaFe$_2$O$_4$ has the same structure as hematite. The superparamagne…

from my link log —
Electron band structure in germanium, my ass.
https://pages.cs.wisc.edu/~kovar/hall.html
saved 2025-04-01 https://…

Prompt Orchestration Markup Language
Yuge Zhang, Nan Chen, Jiahang Xu, Yuqing Yang
https://arxiv.org/abs/2508.13948 https://arxiv.org/pdf/2508.13948…

Prompt Orchestration Markup Language
Large Language Models (LLMs) require sophisticated prompting, yet current practices face challenges in structure, data integration, format sensitivity, and tooling. Existing methods lack comprehensive solutions for organizing complex prompts involving diverse data types (documents, tables, images) or managing presentation variations systematically. To address these gaps, we introduce POML (Prompt Orchestration Markup Language). POML employs component-based markup for logical structure (roles, t…

David Barton isn’t just a primary pitchman for the Ten Commandments law in Texas
His fingerprints appear on 28 bills that have cropped up before the legislatures in 18 states this year.
A data analysis of the bills exposes how their language, structure and requirements are inherently identical.
In dozens of instances, they match model legislation pitched by Barton verbatim.
At the Texas hearing, Barton’s eyes fixated on the cover of the rare 1782 Aitken Bible.
…

28 Bills, Ten Commandments and 1 Source: A Christian Right ‘Bill Mill’
More than a dozen state bills — and three new laws mandating the Ten Commandments in public schools — are virtually identical to model legislation.

Emergence of cosmic structure from Planckian discreteness
Gabriel R. Bengochea, Gabriel Leon, Alejandro Perez
https://arxiv.org/abs/2506.15413 https://

Emergence of cosmic structure from Planckian discreteness
In the standard inflationary paradigm the inhomogeneities observed in the CMB arise from quantum fluctuations of an initially homogeneous and isotropic vacuum state. This picture suffers from two well-known weaknesses. First, it assumes that quantum field theory remains valid at trans-Planckian scales, without modifications from quantum gravity. Second, it necessitates a quantum-to-classical transition in which fluctuations of a homogeneous quantum state become the classical inhomogeneities see…

Electromagnetic probes revealing the inner structure of the $\Lambda_c(2940)$
Ping Chen, Zi-Le Zhang, Yu Zhuge
https://arxiv.org/abs/2506.15428 https://

Electromagnetic probes revealing the inner structure of the $Λ_c(2940)$
The $Λ_c(2940)$, an open-charm baryon discovered in 2006, has sparked interest due to its ``low mass puzzle'', paralleling the $X(3872)$ in the charmoniumlike sector. Both states challenge conventional hadronic interpretations, with the $X(3872)$ understood as a $D^*\bar{D}$ molecular state and the $Λ_c(2940)$ hypothesized as a $D^*N$ molecular state. This work investigates the radiative decay modes $Λ_c(2940) \to Λ_c(2286)γ$, $Λ_c(2940) \to Λ_c(2595)γ$, and $Λ_c(2940) \to Λ_c(2765)γ…

Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
Harald Garcke, Dennis Trautwein, Ganghui Zhang
https://arxiv.org/abs/2508.12326 …

Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
We present a novel formulation for parametric finite element methods to approximate two-phase Stokes flow. The new formulation is based on the classical Stokes equation in the bulk and a novel choice of interface conditions with additional Lagrange multipliers. This new Lagrange multiplier approach ensures that the numerical methods exactly preserve two physical structures of two-phase Stokes flow at the fully discrete level: (i) the energy-decaying and (ii) the volume-preserving properties. Mo…

Approximate Factor Model with S-vine Copula Structure
Jialing Han, Yu-Ning Li
https://arxiv.org/abs/2508.11619 https://arxiv.org/pdf/2508.11619

Approximate Factor Model with S-vine Copula Structure
We propose a novel framework for approximate factor models that integrates an S-vine copula structure to capture complex dependencies among common factors. Our estimation procedure proceeds in two steps: first, we apply principal component analysis (PCA) to extract the factors; second, we employ maximum likelihood estimation that combines kernel density estimation for the margins with an S-vine copula to model the dependence structure. Jointly fitting the S-vine copula with the margins yields a…

A geometry of cubic discriminants in 8 dimensions
Elitza Hristova, Ivan Minchev
https://arxiv.org/abs/2508.12014 https://arxiv.org/pdf/2508.12014

A geometry of cubic discriminants in 8 dimensions
This paper examines 8-dimensional Riemannian manifolds whose structure group reduces to ${SO(4)}_{ir}\subset GL(8,\mathbb R)$, the image of an irreducible representation of $SO(4)$ on $\mathbb R^8$. We demonstrate that such a reduction can be described by an almost quaternion-Hermitian structure and a special rank-4 tensor field, which we call a cubic discriminant. This tensor field is pointwise linearly equivalent to the formula for the discriminant of a cubic polynomial. We show that the only…

On the structure of braces whose subideals are ideals
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
https://arxiv.org/abs/2508.13133 https://ar…

On the structure of braces whose subideals are ideals
This article begins the study of T-braces, those skew left braces of abelian type in which the relation of being an ideal is a transitive relation.

Structure and Magnetic Field of Bright-rimmed Cloud IC 1396E/SFO 38
Koji Sugitani, Jan G. A. Wouterloot, Harriet Parsons, Sarah Graves, Takayoshi Kusune, Archana Soam
https://arxiv.org/abs/2506.14137

Structure and Magnetic Field of Bright-rimmed Cloud IC 1396E/SFO 38
We carried out polarimetric observations of the bright-rimmed cloud IC 1396E/SFO 38 with SCUBA-2/POL-2 to study the effect of ultraviolet (UV) light on its structure and magnetic field. This bright-rimmed cloud appears optically to be one single cloud illuminated by the UV light from the excited star of IC 1396, however our Stokes I image and 13CO(J=3-2) archival data suggest that this cloud is not a simple, single structure, but appears to be composed of two parts on first glance; a head part …

Temporally-Similar Structure-Aware Spatiotemporal Fusion of Satellite Images
Ryosuke Isono, Shunsuke Ono
https://arxiv.org/abs/2508.11259 https://arxiv.org…

Temporally-Similar Structure-Aware Spatiotemporal Fusion of Satellite Images
This paper proposes a novel spatiotemporal (ST) fusion framework for satellite images, named Temporally-Similar Structure-Aware ST fusion (TSSTF). ST fusion is a promising approach to address the trade-off between the spatial and temporal resolution of satellite images. In real-world scenarios, observed satellite images are severely degraded by noise due to measurement equipment and environmental conditions. Consequently, some recent studies have focused on enhancing the robustness of ST fusion…

#photography #butterfly

Lily Cheng, NIMBY councillor of #Willowdale in Toronto went to South Korea.
What did she learn? She learned about sleek parking infrastructure. In South Korea! Speak about missing the forest for the trees
Also Toronto transit isn't randomly underdevelopped, it's something she can actually influence as a councillor. She's saying that as if it just happened and th…

We hoofed it up Mill Mountain before the heat ~really~ set in. The humidity did not wait, unfortunately, but we enjoyed it all the same.
We are now decamped in a coffee shop and pondering lunch options. I think we’re off to a bistro and bakery we’ve heard great things about. Their Better Than Sex cake is reputed to be true to its name.

Discovering Temporal Structure: An Overview of Hierarchical Reinforcement Learning
Martin Klissarov, Akhil Bagaria, Ziyan Luo, George Konidaris, Doina Precup, Marlos C. Machado
https://arxiv.org/abs/2506.14045

Discovering Temporal Structure: An Overview of Hierarchical Reinforcement Learning
Developing agents capable of exploring, planning and learning in complex open-ended environments is a grand challenge in artificial intelligence (AI). Hierarchical reinforcement learning (HRL) offers a promising solution to this challenge by discovering and exploiting the temporal structure within a stream of experience. The strong appeal of the HRL framework has led to a rich and diverse body of literature attempting to discover a useful structure. However, it is still not clear how one might …

Tuning spin-density separation via finite-range interactions: Dimensionality-driven signatures in dynamic structure factors
Xiaoran Ye, Yi Zhang, Ziheng Zhou, Zhaoxin Liang
https://arxiv.org/abs/2506.15092

Tuning spin-density separation via finite-range interactions: Dimensionality-driven signatures in dynamic structure factors
Spin-density separation, marked by distinct propagation velocities of spin and density excitations, epitomizes strong correlations, historically confined to one-dimensional (1D) systems. Recent ultracold quantum gas experiments, however, demonstrate its emergence in higher dimensions through precise tuning of intra- to interspecies interaction ratios, inspiring exploration of how dimensionality and interatomic interactions govern quantum correlations. We investigate this in two-component bosoni…

Compositional Verification of Almost-Sure B\"uchi Objectives in MDPs
Marck van der Vegt, Kazuki Watanabe, Ichiro Hasuo, Sebastian Junges
https://arxiv.org/abs/2508.13087 ht…

Compositional Verification of Almost-Sure Büchi Objectives in MDPs
This paper studies the verification of almost-sure Büchi objectives in MDPs with a known, compositional structure based on string diagrams. In particular, we ask whether there is a strategy that ensures that a Büchi objective is almost-surely satisfied. We first show that proper exit sets -- the sets of exits that can be reached within a component without losing locally -- together with the reachability of a Büchi state are a sufficient and necessary statistic for the compositional verificat…

Structure-Dynamics Correlation and Its Link to Fragility and Dynamic Heterogeneity
Mohit Sharma, Srikanth Sastry, Sarika Maitra Bhattacharyya
https://arxiv.org/abs/2506.12773

Structure-Dynamics Correlation and Its Link to Fragility and Dynamic Heterogeneity
Understanding the connection between structure, dynamics, and fragility (the rate at which relaxation times grow with decreasing temperature) is central to unraveling the glass transition. Fragility is often linked to dynamic heterogeneity, and thus it is commonly assumed that if structure influences dynamics, more fragile systems should exhibit stronger structure--dynamics correlations. In this study, we test the generality of this assumption using three model systems: Lennard-Jones (LJ) and W…

MaskSem: Semantic-Guided Masking for Learning 3D Hybrid High-Order Motion Representation
Wei Wei, Shaojie Zhang, Yonghao Dang, Jianqin Yin
https://arxiv.org/abs/2508.12948 https…

MaskSem: Semantic-Guided Masking for Learning 3D Hybrid High-Order Motion Representation
Human action recognition is a crucial task for intelligent robotics, particularly within the context of human-robot collaboration research. In self-supervised skeleton-based action recognition, the mask-based reconstruction paradigm learns the spatial structure and motion patterns of the skeleton by masking joints and reconstructing the target from unlabeled data. However, existing methods focus on a limited set of joints and low-order motion patterns, limiting the model's ability to understand…

Google proposes Play Store changes in the EU, like making it easier for developers to direct users to websites and a new tiered fee structure, after EU scrutiny (Samuel Stolton/Bloomberg)
https://www.bloomberg.com/news/articles/20

@… hi guys! How do you achieve the hierarchical structure of folders-albums and so without the option to create that inside Immich? Nested folders or albums are not an option 😭
https://

At SBB, we habe MOBi.
In New Zealand 🇳🇿, they habe Monty!
New Zealand has developed a national transport model that is very similar in structure to our multimodal model:
👉 synthetic population,
👉 activity-based modelling,
👉 traffic simulation with #MATSim.

Several documents are available online:

From plasma to pattern: observation and characterization of periodic structure formation in dielectric breakdown channels of electron-irradiated insulators
Nick R. Schwartz, Bryson C. Clifford, Carolyn Chun, Emily H. Frashure, Kathryn M. Sturge, Noah Hoppis, Holly Wilson, Meryl Wiratmo, Jack R. FitzGibbon, Ethan T. Basinger, Brian L. Beaudoin, Raymond J. Phaneuf, John Cumings, Timothy W. Koeth

From plasma to pattern: observation and characterization of periodic structure formation in dielectric breakdown channels of electron-irradiated insulators
Dielectric breakdown of insulators is one of the most common failure modes of electronics in the high-radiation environment of space, but its mechanics remain poorly understood. When electron-irradiated polymethyl methacrylate (PMMA) undergoes breakdown, the resulting channels exhibit striking periodic structures with characteristic wavelengths ~80 μm in the recently identified ivy-mode channels. These previously unobserved modulations offer unique insights into the physics of ultra-fast diele…

The path to a goal: Understanding soccer possessions via path signatures
David Hirnschall, Robert Bajons
https://arxiv.org/abs/2508.12930 https://arxiv.org…

The path to a goal: Understanding soccer possessions via path signatures
We present a novel framework for predicting next actions in soccer possessions by leveraging path signatures to encode their complex spatio-temporal structure. Unlike existing approaches, we do not rely on fixed historical windows and handcrafted features, but rather encode the entire recent possession, thereby avoiding the inclusion of potentially irrelevant or misleading historical information. Path signatures naturally capture the order and interaction of events, providing a mathematically g…

A categorical formulation of the Deligne-Terasoma approach to double shuffle theory
Benjamin Enriquez, Khalef Yaddaden
https://arxiv.org/abs/2506.15348 htt…

A categorical formulation of the Deligne-Terasoma approach to double shuffle theory
In this paper, we introduce the notion of a bimodule with a factorization structure (BFS) and show that such a structure gives rise to an algebra morphism. We then prove that this framework offers an interpretation of the geometric construction underlying both the Betti and de Rham harmonic coproducts of the double shuffle theory developed in \cite{DeT, EF1, EF2, EF3}.

glass: ordered set data structure for client-side order books
Viktor Krapivensky
https://arxiv.org/abs/2506.13991 https://arxiv.org/p…

glass: ordered set data structure for client-side order books
The "ordered set" abstract data type with operations "insert", "erase", "find", "min", "max", "next" and "prev" is ubiquitous in computer science. It is usually implemented with red-black trees, $B$-trees, or $B^+$-trees. We present our implementation of ordered set based on a trie. It only supports integer keys (as opposed to keys of any strict weakly ordered type) and is optimized for market data, namely for what we call sequential locality. The following is the list of what we believe to be …

Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups
Saeed Tafazolian
https://arxiv.org/abs/2508.12959 https://arxiv.org/pdf/2508.12959…

Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups
We present a genus-automorphism characterization of maximal Skabelund curves, showing that they are uniquely determined up to $\mathbb{F}_{q}$-isomorphism by their genus and automorphism group structure.

Generic derivations, differential largeness, and NTP$_2$
Elliot Kaplan, Christoph Kesting
https://arxiv.org/abs/2508.13919 https://arxiv.org/pdf/2508.13919…

Generic derivations, differential largeness, and NTP$_2$
We compare Fornasiero and Terzo's framework of generic derivations on algebraically bounded structures with León Sánchez and Tressl's differentially large fields. We show in the case of a single derivation that genericity and differential largeness coincide for éz-fields, as introduced by Walsberg and Ye. We also show that an NTP$_2$ algebraically bounded structure remains NTP$_2$ after expanding by a generic derivation.

Models for cyclic infinity operads
Brandon Doherty, Philip Hackney
https://arxiv.org/abs/2506.15622 https://arxiv.org/pdf/2506.15622

Models for cyclic infinity operads
We construct model structures on cyclic dendroidal sets and cyclic dendroidal spaces for cyclic quasi-operads and complete cyclic dendroidal Segal spaces, respectively. We show these models are Quillen equivalent to the model structure for simplicial cyclic operads. This answers in the affirmative a question of the second author and Drummond-Cole concerning model structures for cyclic $\infty$-operads. We infer similar statements for planar cyclic $\infty$-operads, providing the model-categoric…

“Specifically, InfoFlood: (1) uses linguistic transformations to rephrase malicious queries, (2) identifies the root cause of failure when an attempt is unsuccessful, and (3) refines the prompt’s linguistic structure to address the failure while preserving its malicious intent.”
#LLM #AI

Structural Abstraction and Refinement for Probabilistic Programs
Guanyan Li, Juanen Li, Zhilei Han, Peixin Wang, Hongfei Fu, Fei He
https://arxiv.org/abs/2508.12344 https://

Structural Abstraction and Refinement for Probabilistic Programs
In this paper, we present structural abstraction refinement, a novel framework for verifying the threshold problem of probabilistic programs. Our approach represents the structure of a Probabilistic Control-Flow Automaton (PCFA) as a Markov Decision Process (MDP) by abstracting away statement semantics. The maximum reachability of the MDP naturally provides a proper upper bound of the violation probability, termed the structural upper bound. This introduces a fresh ``structural'' characterizati…

Urban Living II 🌝
都市生活 II 🌝
📷 Nikon FE
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

Closed $\mathrm{G}_2$ structures on compact manifolds satisfying the known topological obstructions to holonomy $\mathrm{G}_2$ metrics
Luc\'ia Mart\'in-Merch\'an
https://arxiv.org/abs/2508.12658

Closed $\mathrm{G}_2$ structures on compact manifolds satisfying the known topological obstructions to holonomy $\mathrm{G}_2$ metrics
We construct new compact manifolds endowed with closed $\mathrm{G}_2$ structures that satisfy the topological properties found by Joyce and Baraglia for the existence of a torsion-free $\mathrm{G}_2$ structure in the same cohomology class. Those manifolds arise as resolutions of orbifolds of the form $M/\mathbb{Z}_2$, where $M$ itself does not admit any torsion-free $\mathrm{G}_2$ structure. We develop an equivariant resolution procedure for closed $\mathrm{G}_2$ orbifolds with $\mathbb{Z}_2$ i…

CoRuTiGe: A Possible Spin Gapless Semiconductor
Ravinder Kumar, Tufan Roy, Baisali Ghadai, Rakesh Kumar, Sucheta Mondal, Anil Kumar, Archana Lakhani, Devendra Kumar, Masafumi Shirai, Sachin Gupta
https://arxiv.org/abs/2508.12376

CoRuTiGe: A Possible Spin Gapless Semiconductor
We report experimental and theoretical investigations on the quaternary Heusler alloy CoRuTiGe, synthesized using the arc melting technique. Crystal structure analysis reveals a tetragonal structure at room temperature. Magnetization measurements as a function of temperature and magnetic field indicate ferromagnetic nature with a saturation magnetization of 0.681 mB/f.u. at 5 K. The temperature dependence of electrical resistivity shows a nearly linear decrease in the high-temperature range, in…

DFed-SST: Building Semantic- and Structure-aware Topologies for Decentralized Federated Graph Learning
Lianshuai Guo, Zhongzheng Yuan, Xunkai Li, Yinlin Zhu, Meixia Qu, Wenyu Wang
https://arxiv.org/abs/2508.11530

DFed-SST: Building Semantic- and Structure-aware Topologies for Decentralized Federated Graph Learning
Decentralized Federated Learning (DFL) has emerged as a robust distributed paradigm that circumvents the single-point-of-failure and communication bottleneck risks of centralized architectures. However, a significant challenge arises as existing DFL optimization strategies, primarily designed for tasks such as computer vision, fail to address the unique topological information inherent in the local subgraph. Notably, while Federated Graph Learning (FGL) is tailored for graph data, it is predomi…

Blowups of Dirac structures
Ioan Marcut, Andreas Sch\"u{\ss}ler, Marco Zambon
https://arxiv.org/abs/2506.14930 https://arxiv.org…

Blowups of Dirac structures
Given a real, twisted Dirac structure $L$ on a smooth manifold $M$, and a closed embedded submanifold $N\subseteq M$ of codimension $>1$, we characterise when $L$ lifts to a smooth, twisted Dirac structure on the real projective blowup of $M$ along $N$. This holds precisely when $N$ is either a submanifold transverse to $L$ (with no further restrictions) or a submanifold invariant for $L$, for which the Lie algebras transverse to $N$ have all of the same constant height $k\geq 0$. We also class…

Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Alessio Paviglianiti, Luca Lumia, Emanuele Tirrito, Alessandro Silva, Mario Collura, Xhek Turkeshi, Guglielmo Lami
https://arxiv.org/abs/2507.12526

Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Free fermionic Gaussian, a.k.a. matchgate, random circuits exhibit atypical behavior compared to generic interacting systems. They produce anomalously slow entanglement growth, characterized by diffusive scaling $S(t) \sim \sqrt{t}$, and evolve into volume-law entangled states at late times, $S \sim N$, which are highly unstable to measurements. Here, we investigate how doping such circuits with non-Gaussian resources (gates) restores entanglement structures of typical dynamics. We demonstrate …

Nonlocality parameters of microscopic optical potentials from Skyrme-based nuclear structure models at low energies
Do Quang Tam, N. Hoang Tung, N. Hoang Phuc, T. V. Nhan Hao
https://arxiv.org/abs/2508.12699

Nonlocality parameters of microscopic optical potentials from Skyrme-based nuclear structure models at low energies
We investigate the non-locality parameters $ β$ in nucleon-nucleus interactions for $ ^{16}\mathrm{O} $, $ ^{40}\mathrm{Ca} $, $ ^{48}\mathrm{Ca} $, and $ ^{208}\mathrm{Pb} $ using a microscopic optical potential (MOP) derived from nuclear structure models based on Skyrme self-consistent mean-field calculations at low incident energies. No \textit{ad hoc} adjusted parameters were employed in the present calculations. The analysis reveals that the non-locality parameter exhibits a clear depende…

The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
Pankaj Chavan, Tapomoy Guha Sarkar, Anjan A Sen
https://arxiv.org/abs/2506.14275

The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
The Baryon Acoustic Oscillation (BAO) feature, imprinted in the transverse and radial clustering of dark matter tracers, enables the simultaneous measurement of the angular diameter distance $D_A(z)$ and the Hubble parameter $H(z)$ at a given redshift. Further, measuring the redshift space anisotropy (RSD) allows us to measure the combination $f_8\equiv fσ_8(z)$. Motivated by this, we simultaneously study the dynamics of background evolution and structure formation in an abstract phase space o…

wiki_link_dyn: Wikipedia link dynamics (2011)
Six networks of the evolving hyperlink structure among wikipedia articles, for simple English (en), German (de), Dutch (nl), Polish (pl), Italian (it), French (fr), taken in August 2011. Each edge is timestamped, and an edge (i,j) indicates that article i hyperlinks to j. The edge sign indicates the addition ( 1) or deletion (-1) of that link at the specified time.
This network has 100312 nodes and 1627472 edges.
Tags: Informati…

Fine-structure Line Atlas for Multi-wavelength Extragalactic Study (FLAMES) III: [C II] as Tracer, Crisis of SFR, [O III]/[C II] at High-z, New Answers and New Questions
Bo Peng, Gordon Stacey, Amit Vishwas, Catie Ball, Cody Lamarche, Christopher Rooney, Thomas Nikola, Carl Ferkinhoff
https://arxiv.org/abs/2507.12896

Fine-structure Line Atlas for Multi-wavelength Extragalactic Study (FLAMES) III: [C II] as Tracer, Crisis of SFR, [O III]/[C II] at High-z, New Answers and New Questions
In the final paper of this series, we discuss new perspectives and challenges in the study of interstellar medium (ISM), leveraging comprehensive catalogs and physical insights presented in our previous papers. We focus on key questions of far-infrared (FIR) fine-structure lines (FSLs): their origins, diagnostic value, and implications of correlations. Our analysis reveals a strong dependence on elemental abundance, so that FSL/H$α$ traces metallicity, [N II]/[C II] traces N/O, and $\sim$80% o…

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

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

The Algebraic Structure Underlying Pole-Skipping Points
Zhenkang Lu, Cheng Ran, Shao-feng Wu
https://arxiv.org/abs/2507.13306 https://

The Algebraic Structure Underlying Pole-Skipping Points
The holographic Green's function becomes ambiguous, taking the indeterminate form `$0/0$', at an infinite set of special frequencies and momenta known as ``pole-skipping points''. In this work, we propose that these pole-skipping points can be used to reconstruct both the interior and exterior geometry of a static, planar-symmetric black hole in the bulk. The entire reconstruction procedure is fully analytical and only involves solving a system of linear equations. We demonstrate its effectiven…

On contact Hamiltonian functions of singular contact structures
Hoseob Seo
https://arxiv.org/abs/2508.13613 https://arxiv.org/pdf/2508.13613

On contact Hamiltonian functions of singular contact structures
For contact manifolds, it is well-known that the map which assigns to an infinitesimal contact transformation its contact Hamiltonian function is a linear isomorphism, and an explicit local formula for its inverse can be given. In contrast, infinitesimal contact transformations on a singular contact structure have not been well-studied yet. In this article, we show that this map is injective and present an explicit local formula for its inverse when the contact structure has singularities of th…

An Introduction to Sliced Optimal Transport
Khai Nguyen
https://arxiv.org/abs/2508.12519 https://arxiv.org/pdf/2508.12519

An Introduction to Sliced Optimal Transport
Sliced Optimal Transport (SOT) is a rapidly developing branch of optimal transport (OT) that exploits the tractability of one-dimensional OT problems. By combining tools from OT, integral geometry, and computational statistics, SOT enables fast and scalable computation of distances, barycenters, and kernels for probability measures, while retaining rich geometric structure. This paper provides a comprehensive review of SOT, covering its mathematical foundations, methodological advances, computa…

Involuntary Jailbreak
Yangyang Guo, Yangyan Li, Mohan Kankanhalli
https://arxiv.org/abs/2508.13246 https://arxiv.org/pdf/2508.13246

Involuntary Jailbreak
In this study, we disclose a worrying new vulnerability in Large Language Models (LLMs), which we term \textbf{involuntary jailbreak}. Unlike existing jailbreak attacks, this weakness is distinct in that it does not involve a specific attack objective, such as generating instructions for \textit{building a bomb}. Prior attack methods predominantly target localized components of the LLM guardrail. In contrast, involuntary jailbreaks may potentially compromise the entire guardrail structure, whic…

From Variability To Accuracy: Conditional Bernoulli Diffusion Models with Consensus-Driven Correction for Thin Structure Segmentation
Jinseo An, Min Jin Lee, Kyu Won Shim, Helen Hong
https://arxiv.org/abs/2507.12985

From Variability To Accuracy: Conditional Bernoulli Diffusion Models with Consensus-Driven Correction for Thin Structure Segmentation
Accurate segmentation of orbital bones in facial computed tomography (CT) images is essential for the creation of customized implants for reconstruction of defected orbital bones, particularly challenging due to the ambiguous boundaries and thin structures such as the orbital medial wall and orbital floor. In these ambiguous regions, existing segmentation approaches often output disconnected or under-segmented results. We propose a novel framework that corrects segmentation results by leveragin…

a bit of a blast from the past!
https://mastodon.online/@rfceditor/114700678397803497

Ultra-low-resistivity nitrogen-doped p-type Cu2O thin films fabricated by reactive HiPIMS
Ji\v{r}\'i Rezek, Jan Koloros, Ji\v{r}\'i Hou\v{s}ka, Radom\'ir \v{C}erstv\'y, Stanislav Haviar, Jemal Yimer Damte, David Kolenat\'y, Pavel Baroch
https://arxiv.org/abs/2506.15275

Ultra-low-resistivity nitrogen-doped p-type Cu2O thin films fabricated by reactive HiPIMS
We have successfully fabricated the nitrogen-doped cuprous oxide thin films on the amorphous standard soda-lime glass by reactive high-power impulse magnetron sputtering. The energy of film-forming particles was controlled by the value of pulse-averaged target power density, which has a significant impact on the elemental composition, structure and optoelectrical properties of the films. We have shown that the high-energy regime is more suitable for preserving Cu2O structure and leads to contin…

Hanf Locality and Invariant Elementary Definability
Steven Lindell, Henry Towsner, Scott Weinstein
https://arxiv.org/abs/2507.12450 https://arxiv.org/pdf/2…

Hanf Locality and Invariant Elementary Definability
We introduce some notions of invariant elementary definability which extend the notions of first-order order-invariant definability, and, more generally, definability invariant with respect to arbitrary numerical relations. In particular, we study invariance with respect to expansions which depend not only on (an ordering of) the universe of a structure, but also on the particular relations which determine the structure; we call such expansions \emph{presentations} of a structure. We establish …

Metasurfaces-Integrated Doubly-Dispersive MIMO: Channel Modeling and Optimization
Kuranage Roche Rayan Ranasinghe, Hyeon Seok Rou, Iv\'an Alexander Morales Sandoval, Giuseppe Thadeu Freitas de Abreu, George C. Alexandropoulos
https://arxiv.org/abs/2506.14985

Metasurfaces-Integrated Doubly-Dispersive MIMO: Channel Modeling and Optimization
The doubly-dispersive (DD) channel structure has played a pivotal role in wireless communications, particularly in high-mobility scenarios and integrated sensing and communications (ISAC), due to its ability to capture the key fading effects experienced by a transmitted signal as it propagates through a dynamic medium. However, extending the DD framework to multiple-input multiple-output (MIMO) systems, especially in environments artificially enhanced by reconfigurable intelligent surfaces (RIS…

Spectral fluctuations and crossovers in multilayer network
Himanshu Shekhar, Ashutosh Dheer, Santosh Kumar, N. Sukumar
https://arxiv.org/abs/2508.12913 https://

Spectral fluctuations and crossovers in multilayer network
We investigate spectral fluctuations in multilayer networks within the random matrix theory (RMT) framework to characterize universal and non-universal features. The adjacency matrix of a multilayer network exhibits a block structure, with diagonal blocks representing intra-layer connections and off-diagonal blocks encoding inter-layer connections. Applying appropriate scaling factors for these blocks, we equalize variances across inter- and intra-layers, enabling direct comparison of spectral …

Causal structure and topology change in (2 1)-dimensional simplicial gravity
Seth K. Asante, Bj\"orn Borgolte
https://arxiv.org/abs/2507.10697 https:/…

Causal structure and topology change in (2+1)-dimensional simplicial gravity
We develop a systematic method for analyzing the causal structure at vertices in (2+1)-dimensional Lorentzian simplicial gravity. By examining the intersection patterns of lightcones emanating from a vertex with its simplicial neighbourhood, we identify 13 distinct causal types of Lorentzian tetrahedra-excluding configurations with null faces. This forms the basis for a topological classification of the local causal structure in terms of the number of connected spacelike and timelike regions on…

Generative Co-Design of Antibody Sequences and Structures via Black-Box Guidance in a Shared Latent Space
Yinghua Yao, Yuangang Pan, Xixian Chen
https://arxiv.org/abs/2508.11424

Generative Co-Design of Antibody Sequences and Structures via Black-Box Guidance in a Shared Latent Space
Advancements in deep generative models have enabled the joint modeling of antibody sequence and structure, given the antigen-antibody complex as context. However, existing approaches for optimizing complementarity-determining regions (CDRs) to improve developability properties operate in the raw data space, leading to excessively costly evaluations due to the inefficient search process. To address this, we propose LatEnt blAck-box Design (LEAD), a sequence-structure co-design framework that opt…

MOVER: Multimodal Optimal Transport with Volume-based Embedding Regularization
Haochen You, Baojing Liu
https://arxiv.org/abs/2508.12149 https://arxiv.org/…

MOVER: Multimodal Optimal Transport with Volume-based Embedding Regularization
Recent advances in multimodal learning have largely relied on pairwise contrastive objectives to align different modalities, such as text, video, and audio, in a shared embedding space. While effective in bi-modal setups, these approaches struggle to generalize across multiple modalities and often lack semantic structure in high-dimensional spaces. In this paper, we propose MOVER, a novel framework that combines optimal transport-based soft alignment with volume-based geometric regularization t…

Chiral Symmetries and Multiparticle Entanglement
Sophia Denker, Satoya Imai, Otfried G\"uhne
https://arxiv.org/abs/2506.15609 https://

Chiral Symmetries and Multiparticle Entanglement
Bosons and fermions are defined by their exchange properties and the underlying symmetries determine the structure of the corresponding state spaces. For two particles there are two possible exchange symmetries, resulting in symmetric or antisymmetric behaviour, but when exploring multiparticle systems also quantum states with chiral symmetries appear. In this work we demonstrate that chiral symmetries lead to extremal forms of quantum entanglement. More precisely, we show that subspaces with t…

Local structure of classical sequences, regular sequences, and dynamics
Sawian Jaidee, Patrick Moss, Thomas Ward
https://arxiv.org/abs/2508.11054 https://a…

Local structure of classical sequences, regular sequences, and dynamics
We introduce the notions of local realizability at a prime and algebraic realizability of an integer sequence. After discussing this notion in general we consider it for the Euler numbers, the Bernoulli denominators, and the Bernoulli numerators. This gives, for example, a dynamical characterization of the Bernoulli regular primes. Algebraic realizability of the Bernoulli denominators is shown at every prime, giving a different perspective on the great diversity of congruences satisfied by this…

The Midas Project and Tech Oversight Project release The OpenAI Files, a 50 page analysis of OpenAI's governance, leadership, and organizational culture (Hayden Field/The Verge)
https://www.theverge.com/openai/688783/the

The ‘OpenAI Files’ will help you understand how Sam Altman’s company works
Two tech industry watchdog organizations released a research report called the OpenAI Files that covers OpenAI’s corporate structure, its restructuring to a for-profit organization, CEO Sam Altman’s portfolio of investment companies, and more.

Sums of Schubert structure constants with bounded Coxeter length
Ada Stelzer
https://arxiv.org/abs/2506.13684 https://arxiv.org/pdf/2…

Sums of Schubert structure constants with bounded Coxeter length
Pak-Robichaux recently introduced a signed puzzle rule for Schubert structure constants, which they use to show that sums $γ_k(n)$ of these constants with a bounded number of inversions are polynomial. We give a different, conceptual proof of their theorem. Our argument computes the lead term of $γ_k(n)$ and extends to all classical Lie types.

Urban Living IV - Greens 🟢
都市生活 IV - 绿色 🟢
📷 Nikon FE
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

Implicit representations of codimension-2 submanifolds and their prequantum structure
Albert Chern, Sadashige Ishida
https://arxiv.org/abs/2507.11727 https…

Implicit representations of codimension-2 submanifolds and their prequantum structure
This paper explores the geometry of the space of codimension-2 submanifolds. We implicitly represent these submanifolds by a class of complex-valued functions. This reveals a prequantum bundle structure over the space of submanifolds, equipped with the well-known Marsden-Weinstein symplectic structure. This bundle allows a new physical interpretation of the Marsden-Weinstein structure as the curvature of a connection form, which measures the average of volumes swept by the deformation of the S^…

Hilbert Space of Finite $N$ Multi-matrix Models
Robert de Mello Koch, Antal Jevicki
https://arxiv.org/abs/2508.11986 https://arxiv.org/pdf/2508.11986

Hilbert Space of Finite $N$ Multi-matrix Models
We study the Hilbert space structure of gauge-invariant operators emergent in large-$N$ multi-matrix quantum mechanics. Building on the framework of \cite{deMelloKoch:2025ngs}, we identify a class of light single-trace operators that behave like free creation operators at low energy but saturate beyond a critical excitation level, ceasing to generate new states. This $q$-reducibility is a direct consequence of finite N trace identities and leads to a dramatic truncation of the high-energy spect…

A PC Algorithm for Max-Linear Bayesian Networks
Carlos Am\'endola, Benjamin Hollering, Francesco Nowell
https://arxiv.org/abs/2508.13967 https://arxiv.…

A PC Algorithm for Max-Linear Bayesian Networks
Max-linear Bayesian networks (MLBNs) are a relatively recent class of structural equation models which arise when the random variables involved have heavy-tailed distributions. Unlike most directed graphical models, MLBNs are typically not faithful to d-separation and thus classical causal discovery algorithms such as the PC algorithm or greedy equivalence search can not be used to accurately recover the true graph structure. In this paper, we begin the study of constraint-based discovery algor…

Structure determination of flat honeycomb Bi grown on Ag(111)
Ziyong Zhang, Xiaobin Chen, Takeshi Nakagawa
https://arxiv.org/abs/2507.12788 https://…

Structure determination of flat honeycomb Bi grown on Ag(111)
Honeycomb bismuthene structures on Ag(111) were investigated using low-energy electron diffraction (LEED) and density functional theory. LEED I(V) analysis revealed that 0.5 monolayer (ML) of Bi forms an ultraflat honeycomb lattice with negligible buckling at ~120 K, which transforms into other structures upon warming to room temperature. A similar flat bismuthene structure also forms in Mn/Bi/Ag(111), which remains stable even at room temperature. Mn deposition on $(p\times \sqrt{3})$-rect Bi/…

Minimizing the Weighted Number of Tardy Jobs: Data-Driven Heuristic for Single-Machine Scheduling
Nikolai Antonov, Pr\v{e}mysl \v{S}\r{u}cha, Mikol\'a\v{s} Janota, Jan H\r{u}la
https://arxiv.org/abs/2508.13703

Minimizing the Weighted Number of Tardy Jobs: Data-Driven Heuristic for Single-Machine Scheduling
Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches provide strong and scalable performance when tailored to the structure of specific datasets. Leveraging this idea, we focus on a single-machine scheduling problem where each job is defined by its weight, duration, due date, and deadline, aiming to minimize the …

Quantum sensing of electron beams using solid-state spins
Jakob M. Grzesik, Dominic Catanzaro, Charles Roques-Carmes, Eric I. Rosenthal, Guido L. van de Stolpe, Aviv Karnieli, Giovanni Scuri, Souvik Biswas, Kenneth J. Leedle, Dylan S. Black, Robert L. Byer, Ido Kaminer, R. Joel England, Shanhui Fan, Olav Solgaard, Jelena Vu\v{c}kovi\'c
https://

Quantum sensing of electron beams using solid-state spins
Scattering experiments with energetic particles, such as free electrons, have been historically used to reveal the quantum structure of matter. However, realizing coherent interactions between free-electron beams and solid-state quantum systems has remained out of reach, owing to their intrinsically weak coupling. Realizing such coherent control would open up opportunities for hybrid quantum platforms combining free electrons and solid-state qubits for coincident quantum information processing …

Hopf-Galois module structure of monogenic orders in cubic number fields
Daniel Gil-Mu\~noz
https://arxiv.org/abs/2506.12451 https://a…

Hopf-Galois module structure of monogenic orders in cubic number fields
For a cubic number field $L$, we consider the $\mathbb{Z}$-order in $L$ of the form $\mathbb{Z}[α]$, where $α$ is a root of a polynomial of the form $x^3-ax+b$ and $a,b\in\mathbb{Z}$ are integers such that $v_p(a)\leq 2$ or $v_p(b)\leq 3$ for all prime numbers $p$. We characterize the freeness of $\mathbb{Z}[α]$ as a module over its associated order in the unique Hopf-Galois structure $H$ on $L$ in terms of the solvability of at least one between two generalized Pell equations in terms of $a…

On-shell multiplet structure of SU(N) Yang-Mills fields
Dmitriy G. Pak, Takuya Tsukioka, Pengming Zhang
https://arxiv.org/abs/2507.11449 https://

On-shell multiplet structure of SU(N) Yang-Mills fields
Color multiplet structure of the gauge fields and fermions on mass shell in SU(N) Yang-Mills theory is considered according to representations of Weyl group W(SU(N)). An important case of singlet dynamical solutions corresponding to one-dimensional irreducible representations of the Weyl group is revised on a firm basis. We demonstrate that Weyl group as a finite color subgroup of SU(N) manifests a universal singlet structure of one-particle Weyl symmetric quark-gluon solutions. It has been sho…

Factorizations in Geometric Lattices
Alex Aguila, Elvis Cabrera, Jyrko Correa-Morris
https://arxiv.org/abs/2506.14892 https://arxiv.o…

Factorizations in Geometric Lattices
This article investigates atomic decompositions in geometric lattices isomorphic to the partition lattice $Π(X)$ of a finite set $X$, a fundamental structure in lattice theory and combinatorics. We explore the role of atomicity in these lattices, building on concepts introduced by D.D. Anderson, D.F. Anderson, and M. Zafrullah within the context of factorization theory in commutative algebra. As part of the study, we first examine the main characteristics of the function $\mathfrak{N}\colon Π…

Efficient Knowledge Graph Unlearning with Zeroth-order Information
Yang Xiao, Ruimeng Ye, Bohan Liu, Xiaolong Ma, Bo Hui
https://arxiv.org/abs/2508.14013 https://

Efficient Knowledge Graph Unlearning with Zeroth-order Information
Due to regulations like the Right to be Forgotten, there is growing demand for removing training data and its influence from models. Since full retraining is costly, various machine unlearning methods have been proposed. In this paper, we firstly present an efficient knowledge graph (KG) unlearning algorithm. We remark that KG unlearning is nontrivial due to the distinctive structure of KG and the semantic relations between entities. Also, unlearning by estimating the influence of removed compo…

Wavefunction branches demand a definition!
C. Jess Riedel
https://arxiv.org/abs/2506.15663 https://arxiv.org/pdf/2506.15663

Wavefunction branches demand a definition!
Under unitary evolution, a typical macroscopic quantum system is thought to develop wavefunction branches: a time-dependent decomposition into orthogonal components that (1) form a tree structure forward in time, (2) are approximate eigenstates of quasiclassical macroscopic observables, and (3) exhibit effective collapse of feasibly measurable observables. If they could be defined precisely, wavefunction branches would extend the theory of decoherence beyond the system-environment paradigm and …

Weak low-temperature ferromagnetism and linear magnetoresistance in Lu$_{0.75}$Fe$_6$Sn$_6$ with a disordered HfFe$_6$Ge$_6$-type structure
Chenfei Shi, Zhaodi Lin, Qiyuan Liu, Junai Lv, Xiaofan Xu, Baojuan Kang, Jin-Hu Yang, Yi Liu, Jian Zhang, Shixun Cao, Jin-Ke Bao
https://arxiv.org/abs/2507.10964

Weak low-temperature ferromagnetism and linear magnetoresistance in Lu$_{0.75}$Fe$_6$Sn$_6$ with a disordered HfFe$_6$Ge$_6$-type structure
We report the synthesis of Lu$_{0.75}$Fe$_6$Sn$_6$ single crystals with a Fe-kagome lattice using a self-flux method. The crystal structure, magnetic, thermodynamic and electrical transport properties were investigated. Structure refinement reveals that Lu$_{0.75}$Fe$_6$Sn$_6$ has a HfFe$_6$Ge$_6$-type structure as the major framework intergrown with a CoSn-type structure, leading to a vacancy of 25% on the Lu-site and disorder on the Sn-site. It exhibits a significant magnetic anisotropy with …

Construction of a cyclic $p$-extension of number fields whose unit group has prescribed Galois module structure
Manabu Ozaki
https://arxiv.org/abs/2507.12949

Construction of a cyclic $p$-extension of number fields whose unit group has prescribed Galois module structure
For any finite cyclic $p$-group $G$, we will show that every $\mathbb{Z}_p$-torsion free finitely generated $\mathbb{Z}_p[G]$-module appears as $\mathcal{O}_K^\times\otimes_{\mathbb{Z}}\mathbb{Z}_p$ up to $\mathbb{Z}_p[G]$-free direct summands for a certain $G$-extension $K/k$ of number fields.

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…

Matroid complexes and Orlik-Solomon algebras
Basile Coron
https://arxiv.org/abs/2506.15048 https://arxiv.org/pdf/2506.15048

Matroid complexes and Orlik-Solomon algebras
In this article we construct a combinatorial quasi-free differential graded model for the Orlik-Solomon algebra of supersolvable matroids, which generalizes in a matroidal setting the cdga of admissible graphs introduced by M. Kontsevich for the braid arrangements. Our construction draws on well-known concepts from matroid theory, including modularity, single-element extensions, and generalized parallel connections. We also show that this model carries a cooperadic structure in a suitably gener…

On the ambient conditions crystal structure of AgSbTe2
Baihong Sun, Sergei Grazhdannikov, Muhamed Dawod, Lunhua He, Jiazheng Hao, Thomas Meier, Yansun Yao, Yaron Amouyal, Elissaios Stavrou
https://arxiv.org/abs/2506.13526

On the ambient conditions crystal structure of AgSbTe2
We present a combined X-ray and neutron diffraction, Raman spectroscopy, and 121Sb NMR studies of AgSbTe2, supported by first-principles calculations aiming to elucidate its crystal structure. While diffraction methods cannot unambiguously resolve the structure, Raman and NMR data, together with electric field gradient calculations, strongly support the rhombohedral R-3m phase. Moreover, the agreement between experimental and calculated Raman spectra further corroborates this result, resolving …

Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements
Yan Hong, Mengjia Zhang, Limin Gao, Huaqi Zhou, Limei Zhang
https://arxiv.org/abs/2508.12817

Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements
Multipartite entanglement characterization is a core problem in quantum information theory, with several classification schemes available. Among these, the $k$-stretchability, recently introduced [Szalay, Quantum 3, 204 (2019)], can be used to describe multipartite entanglement structure. Recently, a class of symmetric measurements (informationally complete $(s,t)$-POVMs) has been proposed [Siudzi$\textrm{ń}$ska, Phys. Rev. A \textbf{105}, 042209 (2022)] , which includes GSIC-POVMs and MUMs. I…

Characterizing infinite torsion subgroups of the circle through arithmetic-type sequences
Ayan Ghosh, Pratulananda Das
https://arxiv.org/abs/2506.15257 htt…

Characterizing infinite torsion subgroups of the circle through arithmetic-type sequences
In a recent work [Das et al., Bull. Sci. Math. 199 (2025), 103580], the structure of characterized subgroups corresponding to arithmetic-type sequences was investigated. Building upon this work, we further show that a characterized subgroup associated with an arithmetic-type sequence is countable if and only if it is torsion. Further we prove that any infinite torsion subgroup of the circle can be characterized by an arithmetic-type sequence with bounded ratio. Moreover, our findings demonstrat…

Mastering Cosmological Amplitudes Using Generalized Ramanujan's Theorem
Prashanth Raman, Qinglin Yang
https://arxiv.org/abs/2508.13126 https://arxiv.or…

Mastering Cosmological Amplitudes Using Generalized Ramanujan's Theorem
We present a systematic method for computing cosmological amplitudes, including in-in correlators and wavefunction coefficients, in FRW spacetime. Specializing to cases with conformally-coupled external scalars and massive scalar exchanges, we introduce a decomposition into massive family trees, which capture the nested time structure common to these observables. We then evaluate these building blocks using the Method of Brackets (MoB), a multivariate extension of Ramanujan's master theorem tha…

Coherence of Microwave and Optical Qubit Levels in Neutral Thulium
Denis Mishin, Dmitry Tregubov, Nikolay Kolachevsky, Artem Golovizin
https://arxiv.org/abs/2508.12887 https://

Coherence of Microwave and Optical Qubit Levels in Neutral Thulium
Hyperfine-encoded qubits in alkali atoms have established themselves as robust platforms for quantum computing, while alkaline-earth-like elements expand the state manipulation toolbox through their rich spectrum of optical transitions and metastable states. In this work, we demonstrate that thulium is a viable candidate for quantum computing, combining advantages of hyperfine qubit encoding with a rich energy-level structure of alkaline-earth-like atoms. We describe protocols for the initial s…

Galois module structures and the Hasse principle in twist families via the distribution of Selmer groups
Alex Bartel, Adam Morgan
https://arxiv.org/abs/2508.14026 https://

Galois module structures and the Hasse principle in twist families via the distribution of Selmer groups
We address several seemingly disparate problems in arithmetic geometry: the statistical behaviour of the Galois module structure of Mordell--Weil groups of a fixed elliptic curve over varying quadratic extensions; the frequency of failure of the Hasse principle in quadratic twist families of genus $1$ hyperelliptic curves; and the Hasse principle for Kummer varieties. The common technical ingredient for all of these is a result on the distribution of $2$-Selmer ranks in certain sparse families …

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
https://arxiv.org/abs/2506.14935 https://

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field $K$ using the Lawrence-Venkatesh method. The main new inputs we need are computation of certain Euler characteristics of these complete intersections and a big monodromy statement for the variation of Hodge structure arising from the middle cohomology of a family of such complete intersections. Following \cite{ls25}, we prove the latter by relat…