Tootfinder

Added a customizable 2D vector field plot function for #ThingUmbrella

Declarative, functional & multi-format data visualization toolkit based around @thi.ng/hiccup

Geometry of left-invariant vector fields on Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
https://arxiv.org/abs/2508.11440 https://arxiv.org/pdf/250…

Geometry of left-invariant vector fields on Lie groups
This paper examines the geometry of left-invariant vector fields on five-dimensional, simply connected, nilpotent Lie groups equipped with left-invariant Riemannian metrics. Using the canonical identification between the Lie algebra and the space of left-invariant vector fields, we derive algebraic characterizations for Killing, one-harmonic Killing, conformal, and concurrent vector fields. Employing a classification of these nilpotent Lie algebras into ten canonical types, we perform a case-by…

PUB: A Plasma-Propelled Ultra-Quiet Blimp with Two-DOF Vector Thrusting
Zihan Wang
https://arxiv.org/abs/2508.12395 https://arxiv.org/pdf/2508.12395…

PUB: A Plasma-Propelled Ultra-Quiet Blimp with Two-DOF Vector Thrusting
This study presents the design and control of a Plasma-propelled Ultra-silence Blimp (PUB), a novel aerial robot employing plasma vector propulsion for ultra-quiet flight without mechanical propellers. The system utilizes a helium-lift platform for extended endurance and a four-layer ring asymmetric capacitor to generate ionic wind thrust. The modular propulsion units allow flexible configuration to meet mission-specific requirements, while a two-degree-of-freedom (DOF) head enables thrust vect…

An extension of the SM with vector-like quarks and hypothetical heavy bosons: model independent parametrisation at NLO order
Chahra Rekaik, Mohamed Sadek Zidi
https://arxiv.org/abs/2506.14663

An extension of the SM with vector-like quarks and hypothetical heavy bosons: model independent parametrisation at NLO order
A model independent parameterization of an extension of the Standard Model including vector-like quarks, new heavy gauge bosons and an extra scalar, involving a minimal number of free parameters, is introduced. Theoretical constraints on the model couplings and hypothetical particle masses are established by making use of perturbative unitarity. The production of heavy charged and neutral gauge bosons which subsequently decay to vector-like quarks at the LHC are investigated at both leading-ord…

Riesz representation theorems for vector lattices and Banach lattices of regular operators
Marcel de Jeu, Xingni Jiang
https://arxiv.org/abs/2508.12568 https://

Riesz representation theorems for vector lattices and Banach lattices of regular operators
For a non-empty locally compact Hausdorff space $X$ and a Dedekind complete normal vector lattice $E$, we show that the vector lattice of norm to order bounded operators from ${\text C}_{\text c}(X)$ or ${\text C}_0(X)$ into $E$ is isomorphic to the vector lattice of $E$-valued regular Borel measures on $X$. When $E$ is an order continuous Banach lattice, the isomorphism is an isometric isomorphism between Banach lattices. When $X$ is compact, every regular operator from $\mathrm{C}(X)$ into $E…

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
Gabriela Abadia-Doyle, William W. Hager, Anil V. Rao
https://arxiv.org/abs/2506.13938

Legendre-Gauss-Lobatto Collocation Method for Optimal Control via Polynomial Approximations of Differential Equation Vector Fields
A new method is described for solving optimal control problems using direct collocation at Legendre-Gauss-Lobatto points. The approach of this paper employs a polynomial approximation of the right-hand side vector field of the differential equations and leads to the following important outcomes. First, the first-order optimality conditions of the LGL integral form are derived, which lead to a full-rank transformed adjoint system and novel costate estimate. Next, a derivative-like form of the LG…

Vector-level Feedforward Control of LPBF Melt Pool Area Using a Physics-Based Thermal Model
Nicholas Kirschbaum, Nathaniel Wood, Chang-Eun Kim, Thejaswi U. Tumkur, Chinedum Okwudire
https://arxiv.org/abs/2507.12557

Vector-level Feedforward Control of LPBF Melt Pool Area Using a Physics-Based Thermal Model
Laser powder bed fusion (LPBF) is an additive manufacturing technique that has gained popularity thanks to its ability to produce geometrically complex, fully dense metal parts. However, these parts are prone to internal defects and geometric inaccuracies, stemming in part from variations in the melt pool. This paper proposes a novel vector-level feedforward control framework for regulating melt pool area in LPBF. By decoupling part-scale thermal behavior from small-scale melt pool physics, the…

HARMONY: A Scalable Distributed Vector Database for High-Throughput Approximate Nearest Neighbor Search
Qian Xu, Feng Zhang, Chengxi Li, Lei Cao, Zheng Chen, Jidong Zhai, Xiaoyong Du
https://arxiv.org/abs/2506.14707

HARMONY: A Scalable Distributed Vector Database for High-Throughput Approximate Nearest Neighbor Search
Approximate Nearest Neighbor Search (ANNS) is essential for various data-intensive applications, including recommendation systems, image retrieval, and machine learning. Scaling ANNS to handle billions of high-dimensional vectors on a single machine presents significant challenges in memory capacity and processing efficiency. To address these challenges, distributed vector databases leverage multiple nodes for the parallel storage and processing of vectors. However, existing solutions often suf…

Lightweight Relevance Grader in RAG
Taehee Jeong
https://arxiv.org/abs/2506.14084 https://arxiv.org/pdf/2506.14084

Lightweight Relevance Grader in RAG
Retrieval-Augmented Generation (RAG) addresses limitations of large language models (LLMs) by leveraging a vector database to provide more accurate and up-to-date information. When a user submits a query, RAG executes a vector search to find relevant documents, which are then used to generate a response. However, ensuring the relevance of retrieved documents with a query would be a big challenge. To address this, a secondary model, known as a relevant grader, can be served to verify its relevan…

Search for single production of vector-like quarks decaying into $W(\ell\nu)b$ in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector
ATLAS Collaboration
https://arxiv.org/abs/2506.15515

Search for single production of vector-like quarks decaying into $W(\ellν)b$ in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector
A search for single production of a vector-like quark $Q$, which could be either a singlet $T$, with charge $\tfrac23$, or a $Y$ from a $(T,B,Y)$ triplet, with charge $-\tfrac43$, is performed using data from proton-proton collisions at a centre-of-mass energy of 13 TeV. The data correspond to the full integrated luminosity of 140 fb$^{-1}$ recorded with the ATLAS detector during Run 2 of the Large Hadron Collider. The analysis targets $Q \to Wb$ decays where the $W$ boson decays leptonically. …

Segre forms of singular metrics on vector bundles and Lelong numbers
Mats Andersson, Richard L\"ark\"ang
https://arxiv.org/abs/2506.15473 https:/…

Segre forms of singular metrics on vector bundles and Lelong numbers
Let $E\to X$ be a holomorphic vector bundle with a singular Griffiths negative Hermitian metric $h$ with analytic singularities. One can define, given a smooth reference metric $h_0$, a current $s(E,h,h_0)$ that is called the associated Segre form, which defines the expected Bott-Chern class and coincides with the usual Segre form of $h$ where it is smooth. We prove that $s(E,h,h_0)$ is the limit of the Segre forms of a sequence of smooth metrics if the metric is smooth outside the unbounded lo…

Special vector fields on Riemannian manifolds of constant negative sectional curvature and conservation laws
Keti Tenenblat, Alice Barbora Tumpach
https://arxiv.org/abs/2506.14960

Special vector fields on Riemannian manifolds of constant negative sectional curvature and conservation laws
We show that any $n$-dimensional Riemannian manifold with constant negative sectional curvature admits local orthonormal vector fields such that one of them $v_1$ is tangent to geodesics and the other $n-1$ vector fields are tangent to horocycles. We prove that the $1$-form dual to $v_1$ is a closed form. We show how the closed form can be used to obtain conservation laws for PDEs whose generic solutions define metrics on open subsets with constant negative sectional curvature. These results ex…

A Data-Integrated Framework for Learning Fractional-Order Nonlinear Dynamical Systems
Bahram Yaghooti, Chengyu Li, Bruno Sinopoli
https://arxiv.org/abs/2506.15665

A Data-Integrated Framework for Learning Fractional-Order Nonlinear Dynamical Systems
This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step, input-output experiments are designed to generate the necessary datasets for learning the system dynamics, including the fractional order, the drift vector field, and the control vector field. In the second step, these datasets, along with the memory-dependent prop…

Pseudodifferential Weyl calculus on vector bundles
Lars Andersson, Benjamin Moser, Marius A. Oancea, Claudio F. Paganini, Gabriel Schmid
https://arxiv.org/abs/2507.11965

Pseudodifferential Weyl calculus on vector bundles
We develop a geometric framework for Weyl quantization on pseudo-Riemannian manifolds, in which pseudodifferential operators act on sections of vector bundles equipped with arbitrary connections. We construct the associated star product and compute its semiclassical expansion up to third order in the expansion parameter. A central feature of our approach is a one-to-one correspondence between formally self-adjoint symbols and formally self-adjoint operators, extending known results from flat sp…

The energy dependence of exclusive heavy vector meson photoproduction cross-sections and NLO BFKL evolution
Martin Hentschinski, Ricardo Rangel Ram\'irez
https://arxiv.org/abs/2508.11545

The energy dependence of exclusive heavy vector meson photoproduction cross-sections and NLO BFKL evolution
We study the energy dependence of the cross-section for exclusive photoproduction of vector mesons $J/ψ$ and $Υ$, using a solution to the next-to-leading order (NLO) Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. Our goal is to use BFKL evolution as a benchmark to provide evidence for the presence of non-linear QCD dynamics and signs for the onset of gluon saturation at highest center of mass energies. Our approach determines initial conditions for the proton from the Bartels-Golec Biernat-Ko…

Vector Representations of Vessel Trees
James Batten, Michiel Schaap, Matthew Sinclair, Ying Bai, Ben Glocker
https://arxiv.org/abs/2506.11163 https://

Vector Representations of Vessel Trees
We introduce a novel framework for learning vector representations of tree-structured geometric data focusing on 3D vascular networks. Our approach employs two sequentially trained Transformer-based autoencoders. In the first stage, the Vessel Autoencoder captures continuous geometric details of individual vessel segments by learning embeddings from sampled points along each curve. In the second stage, the Vessel Tree Autoencoder encodes the topology of the vascular network as a single vector r…

Internal Value Alignment in Large Language Models through Controlled Value Vector Activation
Haoran Jin, Meng Li, Xiting Wang, Zhihao Xu, Minlie Huang, Yantao Jia, Defu Lian
https://arxiv.org/abs/2507.11316

Internal Value Alignment in Large Language Models through Controlled Value Vector Activation
Aligning Large Language Models (LLMs) with human values has attracted increasing attention since it provides clarity, transparency, and the ability to adapt to evolving scenarios. In this paper, we introduce a Controlled Value Vector Activation (ConVA) method that directly aligns the internal values of LLMs by interpreting how a value is encoded in their latent representations and modifies relevant activations to ensure consistent values in LLMs. To ensure an accurate and unbiased interpretatio…

At this year's Berlin Buzzwords, join Evgeniya Sukhodolskaya as she presents miniCOIL—a novel approach to creating a sparse neural retrieval model. This model aims to combine the advantages of dense and lexical retrieval methods while avoiding their drawbacks. Evgeniya will explain how to design and train a lightweight model that performs well on out-of-domain data and will demonstrate its capabilities.
Learn more:

Annihilating and breaking Lorentz cone entanglement
Francesca La Piana, Alexander M\"uller-Hermes
https://arxiv.org/abs/2506.14480 https://

Annihilating and breaking Lorentz cone entanglement
Linear maps between finite-dimensional ordered vector spaces with orders induced by proper cones $C_A$ and $C_B$ are called entanglement breaking if their partial application sends the maximal tensor product $K\otimes_{\max} C_A$ into the minimal tensor product $K\otimes_{\min} C_B$ for any proper cone $K$. We study the larger class of Lorentz-entanglement breaking maps where $K$ is restricted to be a Lorentz cone of any dimension, i.e., any cone over a Euclidean ball. This class of maps appear…

Optimal Convergence Rates of Deep Neural Network Classifiers
Zihan Zhang, Lei Shi, Ding-Xuan Zhou
https://arxiv.org/abs/2506.14899 https://

Optimal Convergence Rates of Deep Neural Network Classifiers
In this paper, we study the binary classification problem on $[0,1]^d$ under the Tsybakov noise condition (with exponent $s \in [0,\infty]$) and the compositional assumption. This assumption requires the conditional class probability function of the data distribution to be the composition of $q+1$ vector-valued multivariate functions, where each component function is either a maximum value function or a Hölder-$β$ smooth function that depends only on $d_*$ of its input variables. Notably, $d_…

Fair Data Exchange with Constant-Time Proofs
Majid Khabbazian
https://arxiv.org/abs/2506.14944 https://arxiv.org/pdf/2506.14944

Fair Data Exchange with Constant-Time Proofs
The Fair Data Exchange (FDE) protocol introduced at CCS 2024 offers atomic pay-per-file transfers with constant-size proofs, but its prover and verifier runtimes still scale linearly with the file length n. We collapse these costs to essentially constant by viewing the file as a rate-1 Reed-Solomon (RS) codeword, extending it to a lower-rate RS code with constant redundancy, encrypting this extended vector, and then proving correctness for only a small random subset of the resulting ciphertexts…

Smooth surface reconstruction of earthquake faults from distributed potency beachballs
Dye SK Sato, Yuji Yagi, Ryo Okuwaki, Yukitoshi Fukahata
https://arxiv.org/abs/2506.14082

Smooth surface reconstruction of earthquake faults from distributed potency beachballs
Earthquake faults approximate smooth surfaces of displacement discontinuity in a coarse-grained linear continuum, and the beachball nodal planes of source inelastic strain (potency) indicate the normal vector (n-vector) of the crack face. This theoretical relation has been used to interpret estimated potency as geometrical information of earthquake faults. We formulate an inverse analysis for reconstructing a smooth, three-dimensional fault surface from a given potency field. The analysis is gr…

A curvilinear framework for vector light fields
Leonardo S. Gonzalez-Aceves, Gabriela Flores-Cova, Blas M. Rodr\'iguez-Lara, Raul I. Hernandez-Aranda, Alfonso Jaimes-Najera, Carmelo Rosales-Guzman, Benjamin Perez-Garcia
https://arxiv.org/abs/2506.11407

A curvilinear framework for vector light fields
Vector beams are often regarded as non-separable superpositions of spatial and polarization degrees of freedom that satisfy the wave equation. This interpretation ties their polarization structure to their spatial shape. Here, we introduce a generalized method to construct vector beams whose structure is entirely encoded in the polarization degree of freedom. Using conformal maps, we construct orthonormal polarization bases from the geometry of the coordinates and encode them experimentally via…

Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
Taro Kimura, Go Noshita
https://arxiv.org/abs/2508.12125 https://arxiv.org/pd…

Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
We develop a contour integral formalism for computing the K-theoretic equivariant 3-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that, by an appropriate choice of the reference vector, both the equivariant Donaldson--Thomas (DT) and Pandharipande--Thomas (PT) 3-vertices can be extracted from the same integrand. We analyze three distinct limits of the PT 3-vertex, recovering the unrefined topological vertex, the refined topological vertex, and the Macdonald refined topologi…

New Constructions of Full Flag Codes Based on Partial Spreads
Xiang Han, Xinran Li, Gang Wang
https://arxiv.org/abs/2506.15127 https://

New Constructions of Full Flag Codes Based on Partial Spreads
Flag codes are a class of multishot network codes comprising sequences of nested subspaces (flags) within the vector space $\mathbb{F}_q^n$, where $q$ is a prime power. In this paper, we propose a family of constructions for full flag codes based on partial spreads. The distances of this family include maximum distance (optimum distance flag codes), second-maximum distance (quasi-optimum distance flag codes), as well as other feasible values. The structure of these flag codes resembles that of …

Gotta love when optimizations and unit tests result in you catching what you thought was a regression, but turned out to be a long-standing corner case bug you've been chasing forever.
Tl;dr implemented an AVX512F version of the inner loop for the eye pattern, which had previously only supported AVX2 and AVX2-FMA.
It promptly failed the unit test despite being a straightforward vector stretch of the AVX2 version (with some small changes because a few instructions I used from …

Dissecting the Segmentation Model of End-to-End Diarization with Vector Clustering
Alexis Plaquet, Naohiro Tawara, Marc Delcroix, Shota Horiguchi, Atsushi Ando, Shoko Araki, Herv\'e Bredin
https://arxiv.org/abs/2506.11605

Dissecting the Segmentation Model of End-to-End Diarization with Vector Clustering
End-to-End Neural Diarization with Vector Clustering is a powerful and practical approach to perform Speaker Diarization. Multiple enhancements have been proposed for the segmentation model of these pipelines, but their synergy had not been thoroughly evaluated. In this work, we provide an in-depth analysis on the impact of major architecture choices on the performance of the pipeline. We investigate different encoders (SincNet, pretrained and finetuned WavLM), different decoders (LSTM, Mamba, …

Scalar and vector modes in inflation with antisymmetric tensor field
Abhijith Ajith, Sukanta Panda
https://arxiv.org/abs/2508.10159 https://arxiv.org/pdf/2…

Scalar and vector modes in inflation with antisymmetric tensor field
We investigate the scalar and vector modes arising from cosmological perturbations within the framework of an inflationary scenario driven by an antisymmetric tensor field, minimally coupled to gravity. After eliminating gauge artifacts, there remain four scalar and six vector modes of interest which can be studied separately. We analyze the stability of these modes, while looking for generic instabilities like ghost and gradient instabilities that could potentially plague the theory. Further, …

These: LLM-basierte Suchen sind aktuell tatsächlich hilfreich weil:
a) Google so mies geworden ist,
b) sie zumindest noch ein echtes Interesse daran haben, gute Ergebnisse zu liefern und
c) Vector Embeddings bei der Suche tatsächlich eine extrem hilfreiche Technik sind.
#KI

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Edoardo Mason
https://arxiv.org/abs/2506.10696 https://

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces $S$, which depends on the topological type of $S$. In doing so, we study the weak Brill-Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti, we also interpret the problem of determining the degree of irrationality of bielliptic surfaces in terms of the existence of certain stable vector bundles…

Functional Change Point Detection via Adjacent Deviation Subspace
Luoyao Yu, Long Feng, Xuehu Zhu
https://arxiv.org/abs/2506.15143 https://

Functional Change Point Detection via Adjacent Deviation Subspace
This paper develops the concept of the Adjacent Deviation Subspace (ADS), a novel framework for reducing infinite-dimensional functional data into finite-dimensional vector or scalar representations while preserving critical information of functional change points. To identify this functional subspace, we propose an efficient dimension reduction operator that overcomes the critical limitation of information loss inherent in traditional functional principal component analysis (FPCA). Building up…

On the Upper Bounds for the Matrix Spectral Norm
Alexey Naumov, Maxim Rakhuba, Denis Ryapolov, Sergey Samsonov
https://arxiv.org/abs/2506.15660 https://

On the Upper Bounds for the Matrix Spectral Norm
We consider the problem of estimating the spectral norm of a matrix using only matrix-vector products. We propose a new Counterbalance estimator that provides upper bounds on the norm and derive probabilistic guarantees on its underestimation. Compared to standard approaches such as the power method, the proposed estimator produces significantly tighter upper bounds in both synthetic and real-world settings. Our method is especially effective for matrices with fast-decaying spectra, such as tho…

Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/1]:
- Probing vector chirality in the early Universe
Junsup Shim, Ue-Li Pen, Hao-Ran Yu, Teppei Okumura

N\'eel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
Md Afsar Reja, Awadhesh Narayan
https://arxiv.org/abs/2506.12434

Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
Non-Hermitian systems can host exceptional degeneracies where not only the eigenvalues, but also the corresponding eigenvectors coalesce. Recently, $p$-wave magnets have been introduced, which are characterized by their unusual odd parity. In this work, we propose the emergence of non-Hermitian degeneracies at the interface of $p$-wave magnets and ferromagnets. We demonstrate that this setup offers a remarkable tunability allowing realization of exceptional lines and rings, which can be control…

Poisson triple systems
Murray Bremner, Hader Elgendy
https://arxiv.org/abs/2507.13212 https://arxiv.org/pdf/2507.13212

Poisson triple systems
We introduce Poisson triple systems, which are vector spaces with 3 trilinear operations satisfying 9 polynomial identities of degree 5. We show that every Poisson triple system has a universal enveloping Poisson algebra. Finally, we briefly discuss operadic aspects of Poisson triple systems.

SIEVE: Effective Filtered Vector Search with Collection of Indexes
Zhaoheng Li, Silu Huang, Wei Ding, Yongjoo Park, Jianjun Chen
https://arxiv.org/abs/2507.11907

SIEVE: Effective Filtered Vector Search with Collection of Indexes
Many real-world tasks such as recommending videos with the kids tag can be reduced to finding most similar vectors associated with hard predicates. This task, filtered vector search, is challenging as prior state-of-the-art graph-based (unfiltered) similarity search techniques quickly degenerate when hard constraints are considered. That is, effective graph-based filtered similarity search relies on sufficient connectivity for reaching the most similar items within just a few hops. To consider …

"Why embedding vector search is probably one of the least objectionable use of AI for search" by Aaron Tay:
https://aarontay.substack.com/p/why-embedding-vector-search-is-probably

Exact Poincar\'e Constants in three-dimensional Annuli
Bernd Rummler, Michael Ruzicka, Gudrun Th\"ater
https://arxiv.org/abs/2506.13891 https://…

Exact Poincaré Constants in three-dimensional Annuli
We study 3d-annuli. In our non-dimensional setting each annulus $Ω_{\cal A}$ is defined via two concentrical balls with radii ${\cal A}/2$ and ${\cal A}/2 +1$. For these geometries we provide the exact value for the Poincaré constants for scalar functions and calculate precise Poincaré constants for solenoidal vector fields (in both cases with vanishing Dirichlet traces on the boundary). For this we use the first eigenvalues of the scalar Laplacian and the Stokes operator, respectively. Addi…

Deterministic Switching of the N\'{e}el Vector by Asymmetric Spin Torque
Shui-Sen Zhang, Zi-An Wang, Bo Li, Wen-Jian Lu, Mingliang Tian, Yu-Ping Sun, Haifeng Du, Ding-Fu Shao
https://arxiv.org/abs/2506.10786

Deterministic Switching of the Néel Vector by Asymmetric Spin Torque
Néel vector, the order parameter of collinear antiferromagnets, serves as a state variable in associated antiferromagnetic (AFM) spintronic devices to encode information. A deterministic switching of Néel vector is crucial for the write-in operation, which, however, remains a challenging problem in AFM spintronics. Here we demonstrate, based on analytical derivation and macro-spin simulations, that Néel vector switching can be generally achieved via a current-induced spin torque, provided th…

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants
Leonhard Nagel
https://arxiv.org/abs/2507.12502

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants
We establish the first quantitative Berry-Esseen bounds for edge eigenvector statistics in random regular graphs. For any $d$-regular graph on $N$ vertices with fixed $d \geq 3$ and deterministic unit vector $\mathbf{q} \perp \mathbf{e}$, we prove that the normalized overlap $\sqrt{N}\langle \mathbf{q}, \mathbf{u}_2 \rangle$ satisfies \[ \sup_{x \in \mathbb{R}} \left|\mathbb{P}\left(\sqrt{N}\langle \mathbf{q}, \mathbf{u}_2 \rangle \leq x\right) - Φ(x)\right| \leq C_d N^{-1/6+\varepsi…

LGND, which uses vector embeddings to analyze geospatial data and has an enterprise app to query it, raised a $9M seed led by Javelin Venture Partners (Tim De Chant/TechCrunch)
https://techcrunch.com/2025/07/10/lgnd-wants-to-make-chatgpt-for-the-earth/

Exclusive: LGND wants to make ChatGPT for the Earth | TechCrunch
LGND has raised $9 million to convert geographic data into vector embeddings to power AI models that understand the Earth.

SPG: Style-Prompting Guidance for Style-Specific Content Creation
Qian Liang, Zichong Chen, Yang Zhou, Hui Huang
https://arxiv.org/abs/2508.11476 https://a…

SPG: Style-Prompting Guidance for Style-Specific Content Creation
Although recent text-to-image (T2I) diffusion models excel at aligning generated images with textual prompts, controlling the visual style of the output remains a challenging task. In this work, we propose Style-Prompting Guidance (SPG), a novel sampling strategy for style-specific image generation. SPG constructs a style noise vector and leverages its directional deviation from unconditional noise to guide the diffusion process toward the target style distribution. By integrating SPG with Clas…

Conley-Zehnder Indices of Spatial Rotating Kepler Problem
Dongho Lee
https://arxiv.org/abs/2506.14325 https://arxiv.org/pdf/2506.1432…

Conley-Zehnder Indices of Spatial Rotating Kepler Problem
We study periodic orbits in the spatial rotating Kepler problem from a symplectic-topological perspective. Our first main result provides a complete classification of these orbits via a natural parametrization of the space of Kepler orbits, using angular momentum and the Laplace-Runge-Lenz vector. We then compute the Conley-Zehnder indices of non-degenerate orbits and the Robbin-Salamon indices of degenerate families, establishing their contributions to symplectic homology via the Morse-Bott sp…

Double Higgs Production via Vector Boson Fusion in SMEFT
Athanasios Dedes, Janusz Rosiek, Micha{\l} Ryczkowski
https://arxiv.org/abs/2506.12917 https://

Double Higgs Production via Vector Boson Fusion in SMEFT
While gluon fusion dominates Higgs pair production at the LHC, vector boson fusion (VBF) offers a unique window into Beyond the Standard Model (BSM) physics through its distinctive kinematic features and direct sensitivity to Higgs-vector boson interactions. We perform a comprehensive analysis of double Higgs production via VBF in the Standard Model Effective Field Theory (SMEFT), systematically investigating how dimension-6 and dimension-8 bosonic operators - particularly those involving field…

Oldies but Goldies: The Potential of Character N-grams for Romanian Texts
Dana Lupsa, Sanda-Maria Avram
https://arxiv.org/abs/2506.15650 https://

Oldies but Goldies: The Potential of Character N-grams for Romanian Texts
This study addresses the problem of authorship attribution for Romanian texts using the ROST corpus, a standard benchmark in the field. We systematically evaluate six machine learning techniques: Support Vector Machine (SVM), Logistic Regression (LR), k-Nearest Neighbors (k-NN), Decision Trees (DT), Random Forests (RF), and Artificial Neural Networks (ANN), employing character n-gram features for classification. Among these, the ANN model achieved the highest performance, including perfect clas…

Equalized Hyperspin Machine
Marcello Calvanese Strinati, Claudio Conti
https://arxiv.org/abs/2507.12940 https://arxiv.org/pdf/2507.12…

Equalized Hyperspin Machine
The reliable simulation of spin models is of critical importance to tackle complex optimization problems that are intractable on conventional computing machines. The recently introduced hyperspin machine, which is a network of linearly and nonlinearly coupled parametric oscillators, provides a versatile simulator of general classical vector spin models in arbitrary dimension, finding the minimum of the simulated spin Hamiltonian and implementing novel annealing algorithms. In the hyperspin mach…

OPTIC-ER: A Reinforcement Learning Framework for Real-Time Emergency Response and Equitable Resource Allocation in Underserved African Communities
Mary Tonwe
https://arxiv.org/abs/2508.12943

OPTIC-ER: A Reinforcement Learning Framework for Real-Time Emergency Response and Equitable Resource Allocation in Underserved African Communities
Public service systems in many African regions suffer from delayed emergency response and spatial inequity, causing avoidable suffering. This paper introduces OPTIC-ER, a reinforcement learning (RL) framework for real-time, adaptive, and equitable emergency response. OPTIC-ER uses an attention-guided actor-critic architecture to manage the complexity of dispatch environments. Its key innovations are a Context-Rich State Vector, encoding action sub-optimality, and a Precision Reward Function, wh…

Discrimination of neutron-$\gamma$ in the low energy regime using machine learning for an EJ-276D plastic scintillator
S. Panda (a,b), P. K. Netrakanti (a), S. P. Behera (a,b), R. R. Sahu (a), K. Kumar (a,b), R. Sehgal (a), D. K. Mishra (a,b), V. Jha (a,b)
https://arxiv.org/abs/2506.13802

Discrimination of neutron-$γ$ in the low energy regime using machine learning for an EJ-276D plastic scintillator
In this work, we present results for discrimination of neutron and $γ$ events using a plastic scintillator detector with pulse shape discrimination capabilities. Machine learning (ML) algorithms are used to improve the discriminatory power between neutron and $γ$ events at lower energy ranges which otherwise are not addressed by the conventional pulse shape discrimination techniques. The use of a multilayer perceptron with Bayesian inference (MLPBNN) and support vector machine (SVM) algorithm…

Matrix Weighted $L^p$ Estimates in the Nonhomogeneous Setting
Fernando Benito-de la Cigo\~na, Tainara Borges, Francesco D'Emilio, Marcus Pasquariello, Nathan A. Wagner
https://arxiv.org/abs/2506.15570

Matrix Weighted $L^p$ Estimates in the Nonhomogeneous Setting
We establish a modified pointwise convex body domination for vector-valued Haar shifts in the nonhomogeneous setting, strengthening and extending the scalar case developed in arXiv:2309.13943. Moreover, we identify a subclass of shifts, called $L^1$-normalized, for which the standard convex body domination holds without requiring any regularity assumption on the measure. Finally, we extend the best-known matrix weighted $L^p$ estimates for sparse forms to the nonhomogeneous setting. The key dif…

A note on helices in the Euclidean space and in the hyperbolic space
Rafael L\'opez
https://arxiv.org/abs/2507.12861 https://arxi…

A note on helices in the Euclidean space and in the hyperbolic space
We prove that general helices in Euclidean space for Killing vector fields associated to rotations are helices, that is, curves with constant curvature and constant torsion. In hyperbolic space $\h^3$, we obtain the parametrization of helices for the Killing vector fields associated to hyperbolic rotations, spherical rotations and parabolic rotations. It is proved that these helices are geodesics in suitable surfaces of $\h^3$.

KBest: Efficient Vector Search on Kunpeng CPU
Kaihao MA, Meiling Wang, Senkevich Oleg, Zijian LI, Daihao Xue, Dmitriy Malyshev, Yangming Lv, Shihai Xiao, Xiao Yan, Radionov Alexander, Weidi Zeng, Yuanzhan Gao, Zhiyu Zou, Yao xin, Liu Lin, Junhao Wu, Yiding Liu, Yaoyao Fu, Gongyi Wang, Gong Zhang, Fei Yi, Yingfan Liu
https://arxiv.org/abs/2…

KBest: Efficient Vector Search on Kunpeng CPU
Vector search, which returns the vectors most similar to a given query vector from a large vector dataset, underlies many important applications such as search, recommendation, and LLMs. To be economic, vector search needs to be efficient to reduce the resources required by a given query workload. However, existing vector search libraries (e.g., Faiss and DiskANN) are optimized for x86 CPU architectures (i.e., Intel and AMD CPUs) while Huawei Kunpeng CPUs are based on the ARM architecture and c…

Is Sparse Matrix Reordering Effective for Sparse Matrix-Vector Multiplication?
Omid Asudeh, Sina Mahdipour Saravani, Gerald Sabin, Fabrice Rastello, P Sadayappan
https://arxiv.org/abs/2506.10356

Is Sparse Matrix Reordering Effective for Sparse Matrix-Vector Multiplication?
This work evaluates the impact of sparse matrix reordering on the performance of sparse matrix-vector multiplication across different multicore CPU platforms. Reordering can significantly enhance performance by optimizing the non-zero element patterns to reduce total data movement and improve the load-balancing. We examine how these gains vary over different CPUs for different reordering strategies, focusing on both sequential and parallel execution. We address multiple aspects, including appro…

Announcing sff: A fast, on-the-fly SemanticFileFinder written in Rust! 🦀
It scans a directory (like your notes or a repo), finds the most semantically relevant text chunks for your query, and lets you open the file in a text editor of your choice.
No vector DBs, no GPU needed. Indexes ~2500 files with 10k chunks in 250ms on a CPU.
Perfect for searching Obsidian vaults, codebases, and more.
𝚌𝚊𝚛𝚐𝚘 𝚒𝚗𝚜𝚝𝚊𝚕𝚕 𝚜𝚏𝚏
𝚜𝚏𝚏 "𝚠𝚘𝚛𝚔𝚒𝚗𝚐 𝚠𝚒𝚝𝚑 𝚐𝚒𝚝"

GitHub - do-me/sff: CLI for semantic search on your computer. Searches text files and identifies the most relevant chunks to your query.
CLI for semantic search on your computer. Searches text files and identifies the most relevant chunks to your query. - GitHub - do-me/sff: CLI for semantic search on your computer. Searches text f...

A Piecewise Smooth $\lambda$-Lemma
Claudio A. Buzzi, Paulo Santana, Luan V. M. F. Silva
https://arxiv.org/abs/2507.10896 https://arxi…

A Piecewise Smooth $λ$-Lemma
In this paper we provide extensions of the $λ$-Lemma (also known as Inclination Lemma) for piecewise smooth vector fields and maps. In order to achieve our main result, we investigate the regularity of time-T-maps of piecewise smooth vector fields defined at crossing orbits. We prove that these maps are homeomorphisms and also piecewise smooth diffeomorphisms.

EVA-S2PMLP: Secure and Scalable Two-Party MLP via Spatial Transformation
Shizhao Peng, Shoumo Li, Tianle Tao
https://arxiv.org/abs/2506.15102 https://

EVA-S2PMLP: Secure and Scalable Two-Party MLP via Spatial Transformation
Privacy-preserving neural network training in vertically partitioned scenarios is vital for secure collaborative modeling across institutions. This paper presents \textbf{EVA-S2PMLP}, an Efficient, Verifiable, and Accurate Secure Two-Party Multi-Layer Perceptron framework that introduces spatial-scale optimization for enhanced privacy and performance. To enable reliable computation under real-number domain, EVA-S2PMLP proposes a secure transformation pipeline that maps scalar inputs to vector a…

A Mathematical Optimization Approach to Multisphere Support Vector Data Description
V\'ictor Blanco, Inmaculada Espejo, Ra\'ul P\'aez, Antonio M. Rodr\'iguez-Ch\'ia
https://arxiv.org/abs/2507.11106

A Mathematical Optimization Approach to Multisphere Support Vector Data Description
We present a novel mathematical optimization framework for outlier detection in multimodal datasets, extending Support Vector Data Description approaches. We provide a primal formulation, in the shape of a Mixed Integer Second Order Cone model, that constructs Euclidean hyperspheres to identify anomalous observations. Building on this, we develop a dual model that enables the application of the kernel trick, thus allowing for the detection of outliers within complex, non-linear data structures.…

Solitary waves in the complementary generalized ABS model
Avinash Khare, Fred Cooper, John F. Dawson, Avadh Saxena
https://arxiv.org/abs/2506.12631 https:/…

Solitary waves in the complementary generalized ABS model
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ Ψ(x,t) =Φ(x) \rme^{-\rmi ωt}$ where the nonlinear interactions are a combination of vector-vector and scalar-scalar interactions with the interaction Lagrangian given by $L_I = \frac{g^2}{(κ+1)}[\barψ γ_μψ\barψ γ^μ ψ]^{(κ+1)/2} - \frac{g^2}{q(κ+1)}(\barψ ψ)^{κ+1}$, where $κ>0$ and $q>1$. This is the complement of the generalization of the ABS model \cite{abs} that we recently studied \cite…

On Levi operators between normed and vector lattices
Eduard Emelyanov
https://arxiv.org/abs/2506.12578 https://arxiv.org/pdf/2506.125…

On Levi operators between normed and vector lattices
The notion of Levi operator is an operator abstraction of the Levy property of a norm. Various aspects of Levi operators have been studied recently by several authors. The present paper is devoted to Levi operators from a normed lattice to a vector lattice. It is proved that every finite rank operator is a Levi operator. An example is given showing that the sum of a positive rank one operator and a positive compact Levi operator need not to be a Levi operator. We prove that every quasi Levi ope…

Searching for Kerr in string amplitudes
Francesco Alessio, Paolo Di Vecchia, Maurizio Firrotta, Paolo Pichini
https://arxiv.org/abs/2506.15529 https://

Searching for Kerr in string amplitudes
We continue the approach of [1] to attempt to reproduce the classical electromagnetic current of the $\sqrt{\mathrm{Kerr}}$ solution from the infinite-spin limit of a three-point amplitude with two higher-spin string states and a massless vector. We review the infinite-spin limit of three-point amplitudes along the leading Regge trajectory, which differ from $\sqrt{\mathrm{Kerr}}$, and we provide evidence that any sub-leading trajectory parallel to the leading one give the same result. We exten…

Equidistribution of realizable Steinitz classes for cyclic Kummer extensions
Brody Lynch
https://arxiv.org/abs/2506.12999 https://arx…

Equidistribution of realizable Steinitz classes for cyclic Kummer extensions
Let $\ell$ be prime, and $K$ be a number field containing the $\ell$-th roots of unity. We use techniques from classical algebraic number theory to prove that the Steinitz classes of $\mathbb Z/\ell\mathbb Z$ extensions of $K$ are equidistributed among realizable classes in the ideal class group of $K$. For $\ell = 2$, this was proved by Kable and Wright using the deep theory of prehomogeneous vector spaces. Foster proved that Steinitz classes are uniformly distributed between realizable classe…

Quest for particles production in the plane gravitational wave spacetime
Nail Khusnutdinov
https://arxiv.org/abs/2508.11558 https://arxiv.org/pdf/2508.1155…

Quest for particles production in the plane gravitational wave spacetime
Massless vector and scalar Green's functions are obtained in closed form for a plane gravitational wave spacetime using three independent methods: direct solution of the Green-function equation and construction via the DeWitt and Hadamard recursive schemes. The results coincide exactly with the DeWitt--Schwinger expansion, indicating no massless particles production in this background. Contrasting interpretations, based on Bogolyubov coefficient calculations predicting massless particle creatio…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/1]:
- Vector tomography for reconstructing electric fields with non-zero divergence in bounded domains
Alexandra Koulouri, Mike Brookes, Ville Rimpilainen

On balanced HKT manifolds
Giovanni Gentili, Mehdi Lejmi
https://arxiv.org/abs/2506.15519 https://arxiv.org/pdf/2506.15519

On balanced HKT manifolds
We prove the openness of the balanced HKT cone within the cone of HKT structures on a compact hypercomplex manifold $(M,I,J,K)$. We also study the Lie algebra of hyperholomorphic vector fields of type (1,0) with respect to $I$, with particular emphasis on the case when there exists a compatible balanced HKT metric. These fields exhibit a strict interplay with the balanced HKT structure, for instance, we prove a harmonicity property for (1,0)-forms dual to hyperholomorphic vector fields. We also…

MapLibre Tile: A Next Generation Vector Tile Format
Markus Tremmel, Roland Zink
https://arxiv.org/abs/2508.10791 https://arxiv.org/pdf/2508.10791

MapLibre Tile: A Next Generation Vector Tile Format
The Mapbox Vector Tile (MVT) format is widely considered the leading open standard for large-scale map visualization, as evidenced by its widespread adoption by major technology companies such as AWS, Meta, and Microsoft for their products and services. However, MVT was developed nearly a decade ago and, consequently, does not fully align with the capabilities of new geospatial data sources that are characterized by rapidly increasing data volumes due to advancements in geospatial sensors and a…

Surface Minkowski tensors to characterize shapes on curved surfaces
Lea Happel, Hanne Hardering, Simon Praetorius, Axel Voigt
https://arxiv.org/abs/2506.13880

Surface Minkowski tensors to characterize shapes on curved surfaces
We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the shapes boundary co-normal into a reference point which accounts for the angular defect that a classical parallel transport would introduce. This modified transport can be easily implemented for general surfaces and differently defined embedded shapes, and the associated irreducible surface Minkowski tensors give rise to…

Signature of polarized ultralight vector dark matter in pulsar timing arrays
Kimihiro Nomura, Hidetoshi Omiya, Takahiro Tanaka
https://arxiv.org/abs/2508.07358 https://

Signature of polarized ultralight vector dark matter in pulsar timing arrays
We investigate observational signatures of ultralight vector dark matter with masses $m \sim 10^{-24}$-$10^{-22}$ eV in pulsar timing arrays, taking into account general polarization states of the vector field. We find that vector dark matter induces pulsar timing residuals with nontrivial directional dependence, reflecting the anisotropic property and polarization structure specific to vector dark matter, unlike scalar dark matter. We also derive angular correlation curves of the timing residu…

Proposed measurement of longitudinally polarised vector bosons in $WH$ and $ZH$ production at Hadron colliders
Rosa Colyer, Dominik Duda
https://arxiv.org/abs/2506.13002

Proposed measurement of longitudinally polarised vector bosons in $WH$ and $ZH$ production at Hadron colliders
The longitudinal polarisation states of the $W$ and $Z$ bosons arise during electroweak (EW) symmetry breaking as the vector bosons absorb the Higgs boson's massless degrees of freedom. Consequently, these states are intrinsically linked to the EW symmetry breaking mechanism. Measuring the Higgs boson's coupling to them thus offers a unique opportunity to deepen our understanding of EW symmetry breaking and potentially opens a window to physics beyond the Standard Model. This work studies vecto…

A huge thank you to Qdrant for sponsoring the coffee breaks at Berlin Buzzwords! We're thrilled to have their support in keeping everyone energised and connected throughout the conference.
Learn more about Qdrant here: https://qdrant.tech/

The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
Taro Kimura, Go Noshita
https://arxiv.org/abs/2508.12128 https://arxiv.org/pdf/2508.121…

The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
We present a contour integral formalism for computing the K-theoretic equivariant Pandharipande--Thomas (PT) 4-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that the PT 4-vertex can be obtained from the same integrand as the Donaldson--Thomas (DT) 4-vertex by choosing a different reference vector. We illustrate the formalism through examples involving curves and surfaces on the 4-fold. Furthermore, we investigate the DT/PT correspondence for the 4-fold setting together with…

Nonreciprocal magnetic-field-induced second harmonic generation of exciton polaritons in ZnSe
J. Mund, D. R. Yakovlev, A. Farenbruch, N. V. Siverin, M. A. Semina, M. M. Glazov, E. L. Ivchenko, M. Bayer
https://arxiv.org/abs/2507.12572

Nonreciprocal magnetic-field-induced second harmonic generation of exciton polaritons in ZnSe
We report on the optical second harmonic generation (SHG) on the 1S exciton-polariton resonance in bulk ZnSe that is subject to an external magnetic field applied perpendicular to the light wave vector $\mathbf k$ (Voigt geometry). For the symmetry allowed geometry with the $\mathbf{k}\parallel[111]$ crystal axes, the nonreciprocal dependence of the SHG intensity on the magnetic field direction is found. It is explained by an interference of the crystallographic and magnetic-field-induced SHG s…

Chaos of charged particles in quadrupole magnetic fields under Schwarzschild backgrounds
Qihan Zhang, Xin Wu
https://arxiv.org/abs/2507.12752 https://

Chaos of charged particles in quadrupole magnetic fields under Schwarzschild backgrounds
A four-vector potential of an external test electromagnetic field in a Schwarzschild background is described in terms of a combination of dipole and quadrupole magnetic fields. This combination is an interior solution of the source-free Maxwell equations. Such external test magnetic fields cause the dynamics of charged particles around the black hole to be nonintegrable, and are mainly responsible for chaotic dynamics of charged particles. In addition to the external magnetic fields, some circu…

Uncertainty and entropies of classical channels
Takla Nateeboon
https://arxiv.org/abs/2507.12310 https://arxiv.org/pdf/2507.12310

Uncertainty and entropies of classical channels
In this thesis, I studied a mathematical development to define and quantify the uncertainty inherent in classical channels. This thesis starts with the introduction and background on how to formally think about uncertainty in the domain of classical states. The concept of probability vector majorization and its variants, relative majorization and conditional majorization, are reviewed. This thesis introduces three conceptually distinct approaches to formalize the notion of uncertainty inherent …

Toward Efficient SpMV in Sparse LLMs via Block Extraction and Compressed Storage
Junqing Lin, Jingwei Sun, Mingge Lu, Guangzhong Sun
https://arxiv.org/abs/2507.12205

Toward Efficient SpMV in Sparse LLMs via Block Extraction and Compressed Storage
Sparse Matrix-Vector Multiplication (SpMV) has become a critical performance bottleneck in the local deployment of sparse Large Language Models (LLMs), where inference predominantly operates on workloads during the decoder phase with a batch size of one. Existing SpMV kernels and sparse matrix formats, originally designed for scientific computing, fail to exploit the unique structure patterns inherent in sparse LLMs, resulting in suboptimal performance and excessive storage overhead. This paper…

Two intriguing variants of the AAA algorithm for rational approximation
William Mitchell
https://arxiv.org/abs/2508.11169 https://arxiv.org/pdf/2508.11169

Two intriguing variants of the AAA algorithm for rational approximation
We consider the problem of finding a rational function in barycentric form to approximate a given function or data set in $\mathbb{R}$ or $\mathbb{C}$. The famous AAA algorithm, introduced in 2018, constructs such a rational function: the barycentric weights are the entries of the final right singular vector of a Loewner matrix with more rows than columns. We present two variants of the AAA algorithm, inspired by two intriguing quotations from the original paper. In the first, which we call AAA…

Limit cycles of piecewise smooth vector fields on torus with non-regular switching manifold
Thaylon Souza de Oliveira, Ricardo Miranda Martins
https://arxiv.org/abs/2508.09306 h…

Limit cycles of piecewise smooth vector fields on torus with non-regular switching manifold
We study the maximum number of crossing limit cycles in piecewise-smooth vector fields on the two-dimensional torus, where the discontinuity set is the boundary of the fundamental square. Under the assumption of a polynomial first integral of degree n, we apply algebraic curve-intersection methods to obtain sharp upper bounds on cycle counts. In the quadratic case (n=2), we prove at most one cycle of type aa or bb and at most two of type aba or bab, and we give explicit parameter criteria for t…

Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^*) M_X$ decays
Alexander Berezhnoy, Wolfgang Lucha, Dmitri Melikhov
https://arxiv.org/abs/2507.10801

Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^*) M_X$ decays
Within the hypothesis of the dark-matter origin of the excess in $B\to K M_X$ decays over the standard-model expectation, observed by Belle-II, we show that: (i) Scalar- and vector-medator scenarios may be unambiguously discriminated by measuring the differential distributions in $B\to K M_X$ and $B\to K^* M_X$ decays. (ii) Combining the available data on $Γ(B\to K M_X)$ and the upper limit on $Γ(B\to K^* M_X)$ provides a tight constraint on the vector mediator mass $M_V\lesssim 3$ GeV. At th…

A criterion for holomorphic Lie algebroid connections
David Alfaya, Indranil Biswas, Pradip Kumar, Anoop Singh
https://arxiv.org/abs/2506.10514 https://

A criterion for holomorphic Lie algebroid connections
Given a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$, we give a necessary and sufficient condition for a holomorphic vector bundle $E$ on $X$ to admit a holomorphic Lie algebroid connection. If $(V, ϕ)$ is nonsplit, then every holomorphic vector bundle on $X$ admits a holomorphic Lie algebroid connection for $(V, ϕ)$. If $(V, ϕ)$ is split, then a holomorphic vector bundle $E$ on $X$ admits a holomorphic Lie algebroid connection if and only if the degree of e…

Compton amplitude and Contact term(s) in the Spinor Helicity formalism
Aakash Kumar, Arnab Rudra, Rahul Shaw
https://arxiv.org/abs/2506.12431 https://

Compton amplitude and Contact term(s) in the Spinor Helicity formalism
In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the massless polarization vector(s). However, this choice must be irrelevant in any gauge-invariant observable. We use this principle to determine contact term for Electromagnetic Compton amplitude. We considered three-point function between two massive particles \& a…

Order denseness in free Banach lattices
Youssef Azouzi, Wassim Dhifaoui
https://arxiv.org/abs/2508.11648 https://arxiv.org/pdf/2508.11648

Order denseness in free Banach lattices
We prove a fundamental property: the free vector lattice $FVL[E]$ over a Banach space E is order dense in the free p-convex Banach lattice $FBL^{(p)}[E],~~1 ^leq p \leq \infty,$ if and only if E is finite-dimensional. In a recent work, Oikhberg, Tradacete, Taylor, and Troitsky claimed that order denseness holds for all Banach spaces. We point out a gap in their proof, and consequently, any conclusions relying on this claim require reexamination -- a task we also undertake in this present paper.…

Infinity Search: Approximate Vector Search with Projections on q-Metric Spaces
Antonio Pariente, Ignacio Hounie, Santiago Segarra, Alejandro Ribeiro
https://arxiv.org/abs/2506.06557

Infinity Search: Approximate Vector Search with Projections on q-Metric Spaces
Despite the ubiquity of vector search applications, prevailing search algorithms overlook the metric structure of vector embeddings, treating it as a constraint rather than exploiting its underlying properties. In this paper, we demonstrate that in $q$-metric spaces, metric trees can leverage a stronger version of the triangle inequality to reduce comparisons for exact search. Notably, as $q$ approaches infinity, the search complexity becomes logarithmic. Therefore, we propose a novel projectio…

Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state
Hideki Maeda, Cristian Martinez
https://arxiv.org/abs/2506.14872

Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state
We investigate an exact two-parameter family of plane symmetric solutions admitting a hypersurface-orthogonal Killing vector in general relativity with a perfect fluid obeying a linear equation of state $p=χρ$ in $n(\ge 4)$ dimensions, obtained by Gamboa in 2012. The Gamboa solution is identical to the topological Schwarzschild-Tangherlini-(anti-)de~Sitter $Λ$-vacuum solution for $χ=-1$ and admits a non-degenerate Killing horizon only for $χ=-1$ and $χ\in[-1/3,0)$. We identify all possibl…

Quantum Machine Learning in Multi-Qubit Phase-Space Part I: Foundations
Timothy Heightman, Edward Jiang, Ruth Mora-Soto, Maciej Lewenstein, Marcin P{\l}odzie\'n
https://arxiv.org/abs/2507.12117

Quantum Machine Learning in Multi-Qubit Phase-Space Part I: Foundations
Quantum machine learning (QML) seeks to exploit the intrinsic properties of quantum mechanical systems, including superposition, coherence, and quantum entanglement for classical data processing. However, due to the exponential growth of the Hilbert space, QML faces practical limits in classical simulations with the state-vector representation of quantum system. On the other hand, phase-space methods offer an alternative by encoding quantum states as quasi-probability functions. Building on pri…

On completeness of certain locally symmetric pseudo-Riemannian manifolds of signature $(2,2)$
Malek Hanounah
https://arxiv.org/abs/2506.13924 https://

On completeness of certain locally symmetric pseudo-Riemannian manifolds of signature $(2,2)$
We show geodesic completeness of certain compact locally symmetric pseudo-Riemannian manifolds of signature $(2,n)$. Our model space $\mathbf{X}$ is a $1$-connected, indecomposable symmetric space of signature $(2,n)$, that admits a unique (up to scale) parallel lightlike vector field. This class of spaces is the natural generalization of the class of Cahen--Wallach spaces to signature $(2,n)$. In dimension $4$ we show that $\mathbf{X}$ has no proper domain $Ω$ which is divisible by the action…

Vector-Centric Machine Learning Systems: A Cross-Stack Approach
Wenqi Jiang
https://arxiv.org/abs/2508.08469 https://arxiv.org/pdf/2508.08469

Vector-Centric Machine Learning Systems: A Cross-Stack Approach
Today, two major trends are shaping the evolution of ML systems. First, modern AI systems are becoming increasingly complex, often integrating components beyond the model itself. A notable example is Retrieval-Augmented Generation (RAG), which incorporates not only multiple models but also vector databases, leading to heterogeneity in both system components and underlying hardware. Second, with the end of Moore's Law, achieving high system efficiency is no longer feasible without accounting for…

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces
Valentin V. Gorokhovik
https://arxiv.org/abs/2506.08742 https://

Characterizations of Faces of Convex Sets in Infinite-dimensional Vector Spaces
In the paper three different characterizations of faces of convex sets, belonging to infinite-dimensional real vector spaces, are presented. The first one is formulated in the terms of generalized semispaces, the second -- in the terms of compatible complete (total) preorders, and the third -- in the terms of step-affine functions. All three characterization are equivalent each other and extend to infinite-dimensional vector spaces the lexicographical characterization of faces established in fi…

Towards Efficient and Scalable Distributed Vector Search with RDMA
Xiangyu Zhi, Meng Chen, Xiao Yan, Baotong Lu, Hui Li, Qianxi Zhang, Qi Chen, James Cheng
https://arxiv.org/abs/2507.06653

Towards Efficient and Scalable Distributed Vector Search with RDMA
Similarity-based vector search facilitates many important applications such as search and recommendation but is limited by the memory capacity and bandwidth of a single machine due to large datasets and intensive data read. In this paper, we present CoTra, a system that scales up vector search for distributed execution. We observe a tension between computation and communication efficiency, which is the main challenge for good scalability, i.e., handling the local vectors on each machine indepen…

Context-Aware Search and Retrieval Over Erasure Channels
Sara Ghasvarianjahromi, Yauhen Yakimenka, J\"org Kliewer
https://arxiv.org/abs/2507.11894 htt…

Context-Aware Search and Retrieval Over Erasure Channels
This paper introduces and analyzes a search and retrieval model that adopts key semantic communication principles from retrieval-augmented generation. We specifically present an information-theoretic analysis of a remote document retrieval system operating over a symbol erasure channel. The proposed model encodes the feature vector of a query, derived from term-frequency weights of a language corpus by using a repetition code with an adaptive rate dependent on the contextual importance of the t…

Analysis of three-body charmed $B$ meson decays $B \to {D}(V^* \to){V P}$
Jing Ou-Yang, Run-Hui Li, Si-Hong Zhou
https://arxiv.org/abs/2506.14675 https://

Analysis of three-body charmed $B$ meson decays $B \to {D}(V^* \to){V P}$
We systematically analyze the decays $B_{(s)} \to D_{(s)} (V^* \to)\, V\, P$, where $V^*$ represents a vector resonance ($ρ, \, ω$ or $K^*$), and $V P$ denotes the final-state meson pairs $ ω\, π$, $ ρ\, π$ and $ ρ\, K$. The intermediate subprocesses $B_{(s)} \to D_{(s)} V^*$ are calculated in the factorization-assisted topological-amplitude approach, while the intermediate resonant states $V^*$ are modeled using a relativistic Breit-Wigner distribution, subsequently decaying into $VP$ t…

Two classification results for stationary surfaces of the least moment of inertia
Rafael L\'opez
https://arxiv.org/abs/2507.12398 https://

Two classification results for stationary surfaces of the least moment of inertia
A surface in Euclidean space $\r^3$ is said to be an $α$-stationary surface if it is a critical point of the energy $\int_Σ|p|^α$, where $α\in\r$. These surfaces are characterized by the Euler-Lagrange equation $H(p)=α\frac{\langle N(p),p\rangle}{|p|^2}$, $p\inΣ$, where $H$ and $N$ are the mean curvature and the normal vector of $Σ$. If $α\not=0$, we prove that vector planes are the only ruled $α$-stationary surfaces. The second result of classification asserts that…

Unveiling the role of vector potential in the Aharonov-Bohm effect
Masashi Wakamatsu
https://arxiv.org/abs/2506.07018 https://arxiv.o…

Unveiling the role of vector potential in the Aharonov-Bohm effect
The most popular interpretation of the Aharonov-Bohm (AB) effect is that the electromagnetic potential locally affects the complex phase of a charged particle's wave function in the magnetic field free region. However, since the vector potential is a gauge-variant quantity, not a few researchers suspect that it is just a convenient tool for calculating the force field. This motivates them to explain the AB effect without using the vector potential, which inevitably leads to some sort of non-loc…

Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes
Bingru Huang, Falai Chen
https://arxiv.org/abs/2507.11047

Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes
In this article, we study the dimension of the spline space of di-degree $(d,d)$ with the highest order of smoothness over a hierarchical T-mesh $\mathscr T$ using the smoothing cofactor-conformality method. Firstly, we obtain a dimensional formula for the conformality vector space over a tensor product T-connected component. Then, we prove that the dimension of the conformality vector space over a T-connected component of a hierarchical T-mesh under the tensor product subdivision can be calcul…

Heavy Quark Decays in the Bilepton Model
Gennaro Corcella, Claudio Corian\`o, Dario Melle, Paul H. Frampton
https://arxiv.org/abs/2507.12556 https://

Heavy Quark Decays in the Bilepton Model
Given the current absence of new physics signals at the LHC, it is increasingly important to investigate alternative scenarios beyond those commonly explored. In this work, we study a variant of the 331 model that predicts the existence of vector bileptons with electric charge and lepton number +/-2, as well as TeV-scale exotic quarks carrying charges +/- 5/3 and +/- 4/3. Specifically, we focus on the primary production of heavy quarks with charge +/- 5/3, which decay into a bottom quark and a …

EnhanceGraph: A Continuously Enhanced Graph-based Index for High-dimensional Approximate Nearest Neighbor Search
Xiaoyao Zhong, Jiabao Jin, Peng Cheng, Mingyu Yang, Lei Chen, Haoyang Li, Zhitao Shen, Xuemin Lin, Heng Tao Shen, Jingkuan Song
https://arxiv.org/abs/2506.13144

EnhanceGraph: A Continuously Enhanced Graph-based Index for High-dimensional Approximate Nearest Neighbor Search
Recently, Approximate Nearest Neighbor Search in high-dimensional vector spaces has garnered considerable attention due to the rapid advancement of deep learning techniques. We observed that a substantial amount of search and construction logs are generated throughout the lifespan of a graph-based index. However, these two types of valuable logs are not fully exploited due to the static nature of existing indexes. We present the EnhanceGraph framework, which integrates two types of logs into a …

Quantum Tomography in Neutral Meson and Antimeson Systems
Kun Cheng, Tao Han, Matthew Low, Tong Arthur Wu
https://arxiv.org/abs/2507.12513 https://

Quantum Tomography in Neutral Meson and Antimeson Systems
The flavor space of particles produced in collider environments contains informative quantum correlations. We present a systematic approach for constructing the complete flavor density matrix for a meson and antimeson system ($M \bar M$) in the Bloch vector space at a given time $t$, which can be at or after production. We point out that the $B_s^0$ and $K^0$ systems are superior to the $B^0_d$ and $D^0$ systems for quantum tomography because of their flavor oscillation and decay properties. Pe…

Conformal Vector Fields on Complex Hyperbolic Space
Hiroyasu Satoh, Hemangi Madhusudan Shah
https://arxiv.org/abs/2506.09710 https://…

Conformal Vector Fields on Complex Hyperbolic Space
In this article, we show that there does not exist any non-trivial conformal vector field on complex hyperbolic space. That is, we show that any conformal vector field on a complex hyperbolic space is indeed a Killing vector field.

Quantum Algorithms for Projection-Free Sparse Convex Optimization
Jianhao He, John C. S. Lui
https://arxiv.org/abs/2507.08543 https://

Quantum Algorithms for Projection-Free Sparse Convex Optimization
This paper considers the projection-free sparse convex optimization problem for the vector domain and the matrix domain, which covers a large number of important applications in machine learning and data science. For the vector domain $\mathcal{D} \subset \mathbb{R}^d$, we propose two quantum algorithms for sparse constraints that finds a $\varepsilon$-optimal solution with the query complexity of $O(\sqrt{d}/\varepsilon)$ and $O(1/\varepsilon)$ by using the function value oracle, reducing a fa…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
Andrea Erdas
https://arxiv.org/abs/2506.10284 https://…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
In this work I study the finite temperature Casimir effect caused by a complex and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The Lorentz invariance breaking is caused by a constant space-like vector directly coupled to higher order field derivatives. This vector needs to be space-like in order to avoid non-causality problems that will arise with a time-like vector. I investigate the two scenarios of the scalar field satisfying either Dirichlet or mix…

This https://arxiv.org/abs/2405.10282 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

GKLS Vector Field Dynamics for Gaussian States
We construct the vector field associated to the GKLS generator for systems described by Gaussian states. This vector field is defined on the dual space of the algebra of operators, restricted to operators quadratic in position and momentum. It is shown that the GKLS dynamics accepts a decomposition principle, that is, this vector field can be decomposed in three parts, a conservative Hamiltonian component, a gradient-like, and a Choi-Kraus or jump vector field. The two last terms are considered…

Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector
P. Encarnaci\'on, M. Albaladejo, A. Feijoo, J. Nieves
https://arxiv.org/abs/2507.08466

Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector
We revisit the strangeness $-1$ sector of the interaction between vector mesons of the $ρ-$nonet and $1/2^+$ ground state baryons ($VB$), within the unitary coupled-channel hidden gauge formalism. We adopt a renormalization scheme that induces a reasonable short-distance behavior of the two-hadron wave functions, which is the major limitation of femtoscopy techniques at this time. We perform an exhaustive spectroscopy study, implementing different improvements and considerations, and find comp…

Electromagnetic Dirac Cogenesis
Debasish Borah, Arnab Dasgupta
https://arxiv.org/abs/2507.11607 https://arxiv.org/pdf/2507.11607

Electromagnetic Dirac Cogenesis
We propose a novel cogenesis mechanism by utilising the two-body decay of heavy vector-like fermions to dark matter (DM) $χ$ and right chiral part of light Dirac neutrino $ν_R$ via the electromagnetic dipole operator. This leads to generation of asymmetry in dark fermion $χ$ as well as $ν_R$ with the latter getting transferred to left-handed lepton doublets via Yukawa interactions with a neutrinophilic Higgs doublet. While lepton asymmetry is converted into baryon asymmetry of the Universe …