Tootfinder

A rose drying out naturally in a pot inside.
#wildlife #photography

Gender-Neutral Machine Translation Strategies in Practice
Hillary Dawkins, Isar Nejadgholi, Chi-kiu Lo
https://arxiv.org/abs/2506.15676 https://

Gender-Neutral Machine Translation Strategies in Practice
Gender-inclusive machine translation (MT) should preserve gender ambiguity in the source to avoid misgendering and representational harms. While gender ambiguity often occurs naturally in notional gender languages such as English, maintaining that gender neutrality in grammatical gender languages is a challenge. Here we assess the sensitivity of 21 MT systems to the need for gender neutrality in response to gender ambiguity in three translation directions of varying difficulty. The specific gen…

This https://arxiv.org/abs/2505.13185 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Filtering in a hazard rate change-point model with financial and life-insurance applications
This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework arises naturally in both financial and insurance applications, where the default intensity of a firm or the mortality rate of an individual may experience a sudden jump at an unobservable time, representing, for instance, a shift in the firm's risk profile or a deterioration in an individual's health status. By employing a progressive enlargement of filt…

Patterns in Growth and Distribution of Unbounded Prime Number Walks
Alberto Fraile, Daniel Fern\'andez, Roberto Mart\'inez, Theophanes E. Raptis
https://arxiv.org/abs/2506.15357

Patterns in Growth and Distribution of Unbounded Prime Number Walks
In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, namely, that the area covered by the prime walk is unbounded. Taking this fact into account, we examine in further detail the properties of the PW and explore new questions that arise naturally in this analysis.

Versatile Symbolic Music-for-Music Modeling via Function Alignment
Junyan Jiang, Daniel Chin, Liwei Lin, Xuanjie Liu, Gus Xia
https://arxiv.org/abs/2506.15548

Versatile Symbolic Music-for-Music Modeling via Function Alignment
Many music AI models learn a map between music content and human-defined labels. However, many annotations, such as chords, can be naturally expressed within the music modality itself, e.g., as sequences of symbolic notes. This observation enables both understanding tasks (e.g., chord recognition) and conditional generation tasks (e.g., chord-conditioned melody generation) to be unified under a music-for-music sequence modeling paradigm. In this work, we propose parameter-efficient solutions fo…

On Exact Solutions to the Linear Bellman Equation
David Ohlin, Richard Pates, Murat Arcak
https://arxiv.org/abs/2506.15527 https://ar…

On Exact Solutions to the Linear Bellman Equation
This paper presents sufficient conditions for optimal control of systems with dynamics given by a linear operator, in order to obtain an explicit solution to the Bellman equation that can be calculated in a distributed fashion. Further, the class of Linearly Solvable MDP is reformulated as a continuous-state optimal control problem. It is shown that this class naturally satisfies the conditions for explicit solution of the Bellman equation, motivating the extension of previous results to semili…

A Machine Learning Framework for Modeling Ensemble Properties of Atomically Disordered Materials
Zhenyao Fang, Ting-Wei Hsu, Qimin Yan
https://arxiv.org/abs/2506.15652

A Machine Learning Framework for Modeling Ensemble Properties of Atomically Disordered Materials
Disorder, though naturally present in experimental samples and strongly influencing a wide range of material phenomena, remains underexplored in first-principles studies due to the computational cost of sampling the large supercell and configurational space. The recent development of machine learning techniques, particularly graph neural networks (GNNs), has enabled the efficient and accurate predictions of complex material properties, offering promising tools for studying disordered systems. I…

Self-Interacting Dark Matter with Mass Segregation: A Unified Explanation of Dwarf Cores and Small-Scale Lenses
Daneng Yang, Yi-Zhong Fan, Siyuan Hou, Yue-Lin Sming Tsai
https://arxiv.org/abs/2506.14898

Self-Interacting Dark Matter with Mass Segregation: A Unified Explanation of Dwarf Cores and Small-Scale Lenses
In two-component SIDM models with inter-species interactions, mass segregation arises naturally from collisional relaxation, enhancing central densities and gravothermal evolution without requiring large cross sections. We propose a model with velocity-dependent interactions, both within and between species, that connects observations across several halo mass scales while remaining consistent with cluster-scale constraints. This combination enables modest mass segregation in low-mass and typica…

Rademacher learning rates for iterated random functions
Nikola Sandri\'c
https://arxiv.org/abs/2506.13946 https://arxiv.org/pdf/2…

Rademacher learning rates for iterated random functions
Most existing literature on supervised machine learning assumes that the training dataset is drawn from an i.i.d. sample. However, many real-world problems exhibit temporal dependence and strong correlations between the marginal distributions of the data-generating process, suggesting that the i.i.d. assumption is often unrealistic. In such cases, models naturally include time-series processes with mixing properties, as well as irreducible and aperiodic ergodic Markov chains. Moreover, the lear…

Pairing particles into holonomies
Vera Neef, Matthias Heinrich, Tom A. W. Wolterink, Alexander Szameit
https://arxiv.org/abs/2506.13442 https://

Pairing particles into holonomies
Holonomies are of great interest to quantum computation and simulation. The geometrical nature of these entities offers increased stability to quantum gates. Furthermore, symmetries of particle physics are naturally reflected in holonomies, making them ideally suited for quantum simulation of quantum chromodynamics and grand unified theories. Yet, practically designing quantum holonomies with the required properties and scale is challenging. Here, we construct a new class of holonomies by incre…

Filtering in a hazard rate change-point model with financial and life-insurance applications
Matteo Buttarazzi, Claudia Ceci
https://arxiv.org/abs/2505.13185

Filtering in a hazard rate change-point model with financial and life-insurance applications
This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework arises naturally in both financial and insurance applications, where the default intensity of a firm or the mortality rate of an individual may experience a sudden jump at an unobservable time, representing, for instance, a shift in the firm's risk profile or a deterioration in an individual's health status. By employing a progressive enlargement of filt…

A quasi-tree expansion for the surface Tutte polynomial
Maya Thompson
https://arxiv.org/abs/2506.13748 https://arxiv.org/pdf/2506.137…

A quasi-tree expansion for the surface Tutte polynomial
The surface Tutte polynomial has recently been generalised to pseudo-surfaces equipping it with recursive deletion-contraction relations. We use these relations to show that this generalisation naturally possesses a quasi-tree expansion. This extends quasi-tree expansions of the Bollobás-Riordan, Las Vergnas and Krushkal polynomials, which we recover from our main result.

NeuroCoreX: An Open-Source FPGA-Based Spiking Neural Network Emulator with On-Chip Learning
Ashish Gautam, Prasanna Date, Shruti Kulkarni, Robert Patton, Thomas Potok
https://arxiv.org/abs/2506.14138

NeuroCoreX: An Open-Source FPGA-Based Spiking Neural Network Emulator with On-Chip Learning
Spiking Neural Networks (SNNs) are computational models inspired by the structure and dynamics of biological neuronal networks. Their event-driven nature enables them to achieve high energy efficiency, particularly when deployed on neuromorphic hardware platforms. Unlike conventional Artificial Neural Networks (ANNs), which primarily rely on layered architectures, SNNs naturally support a wide range of connectivity patterns, from traditional layered structures to small-world graphs characterize…

Algebraicity of Hodge classes on some Generalized Prym Varieties
Deepam Patel, Yilong Zhang
https://arxiv.org/abs/2506.13729 https://…

Algebraicity of Hodge classes on some Generalized Prym Varieties
In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (unramified) geometric class field theory, and apply it to prove the algebraicity of certain Hodge classes on some generalized Prym Varieties.

The Casimir eigenvalues on $ad^{\otimes k}$ of SU(N) are linear on N
R. L. Mkrtchyan
https://arxiv.org/abs/2506.13062 https://arxiv.o…

The Casimir eigenvalues on $ad^{\otimes k}$ of SU(N) are linear on N
We consider eigenvalues of the Casimir operator on the naturally defined \textit{stable sequences} of representations of $su(N)$ algebra and prove that eigenvalues are linear over $N$ iff $λ_1+2λ_2+...+kλ_k=λ_{N-1}+2λ_{N-2}+...+kλ_{N-k}$, where $λ_i$ are Dynkin labels, and $λ_i=0$ for $k

Artificial Intelligence and Civil Discourse: How LLMs Moderate Climate Change Conversations
Wenlu Fan, Wentao Xu
https://arxiv.org/abs/2506.12077 https://

Artificial Intelligence and Civil Discourse: How LLMs Moderate Climate Change Conversations
As large language models (LLMs) become increasingly integrated into online platforms and digital communication spaces, their potential to influence public discourse - particularly in contentious areas like climate change - requires systematic investigation. This study examines how LLMs naturally moderate climate change conversations through their distinct communicative behaviors. We conduct a comparative analysis of conversations between LLMs and human users on social media platforms, using fiv…

Ended up using a probability game mechanic again today and thought I might explain it here in case other #GameDev folks might find it useful. The basic problem it solves is when you want a percentage probability to be influenced by both beneficial and detrimental stats/effects, and you want these to balance against each other without the system easily tipping too far in either direction. Think about crit chance for example, and how many games have either lopsided systems where it's easy to max out at 100% or really opaque systems to try to balance things somehow. The system I'm about to describe has a nice intuitive explanation, but also permits positive & negative modifiers to balance out naturally (though it may not work well for every situation).

Trinitary algebras
V. A. Vassiliev
https://arxiv.org/abs/2506.12865 https://arxiv.org/pdf/2506.12865…

Trinitary algebras
A {\em trinitary algebra} is any subalgebra of the space of smooth functions $f: M \to {\mathbb R}$ that is distinguished in this space by finitely many linear conditions of the form $f(x_i) = f(\tilde x_i) = f(\hat x_i)$, where $x_i, \tilde x_i,$ and $ \hat x_i $ are distinct points in $ M$, $i=1, \dots, k$, or is approximated by such subalgebras. These algebras naturally arise in the study of discriminant varieties, i.e., the spaces of singular geometric objects, in theories where the propert…

Implications of DESI for Dark Matter & Cosmic Birefringence
Basabendu Barman, Sudhakantha Girmohanta
https://arxiv.org/abs/2506.12589 https://

Implications of DESI for Dark Matter & Cosmic Birefringence
We explore an interacting dark matter (DM)-dark energy (DE) framework that naturally yields an effective dynamical DE equation of state crossing the phantom barrier at early times, as indicated by recent DESI data, while also accounting for the observed isotropic rotation of the cosmic microwave background (CMB) linear polarization. Within this unified framework, we also explain the DM relic abundance without introducing additional fields or couplings. Depending on the DE potential, we identify…

Asymptotic Expansion of the Gaussian Integral Operators on Riemannian submanifolds of $\mathbb{R}^{n}$
Jia-Ming (Frank), Liou, Chi-Chien Lu
https://arxiv.org/abs/2506.13238

Asymptotic Expansion of the Gaussian Integral Operators on Riemannian submanifolds of $\mathbb{R}^{n}$
The Gaussian integral operator arises naturally as a local Euclidean approximation of the heat semigroup on a Riemannian manifold and plays a pivotal role in the analysis of graph Laplacians, particularly within the frameworks of manifold learning and spectral graph theory. In this paper, we study the asymptotic behavior of the Gaussian integral operator on a smooth Riemannian submanifold \( M \subset \mathbb{R}^n \), focusing on its expansion as \( \varepsilon \to 0^+ \). Under the assumption …

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
Netzer Moriya
https://arxiv.org/abs/2506.15288 https://

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
We establish a unified theoretical framework that connects classical orthogonal polynomial systems to matrix Lyapunov equations through the fundamental physics of energy dissipation in stochastic dynamical systems. Starting from the energy balance principle in infinite-dimensional Hilbert spaces, we derive a master integral representation that naturally encompasses both spectral geometry and covariance dynamics. The theory reveals that established orthogonal polynomials (Zernike, Hermite, spher…

Coolest part of this: it somehow escaped Dutch Elm Disease and they are gathering its seeds to propagate what *may* be naturally resistant genetics. https://flipboard.com/@cbcnews/top-stories-01r3k2ttz/-/a-CoiPb3nXRaK1lwOlyr7ZwA:a%3…

One of Toronto's oldest elm trees is on its last legs. Researchers are racing to re-grow copies
One of the largest old elm trees in Toronto — possibly in all of southern Ontario — is on its last legs. But as the city finalizes plans to take down …

Technical Evaluation of a Disruptive Approach in Homomorphic AI
Eric Filiol
https://arxiv.org/abs/2506.11954 https://arxiv.org/pdf/25…

Technical Evaluation of a Disruptive Approach in Homomorphic AI
We present a technical evaluation of a new, disruptive cryptographic approach to data security, known as HbHAI (Hash-based Homomorphic Artificial Intelligence). HbHAI is based on a novel class of key-dependent hash functions that naturally preserve most similarity properties, most AI algorithms rely on. As a main claim, HbHAI makes now possible to analyze and process data in its cryptographically secure form while using existing native AI algorithms without modification, with unprecedented perf…

Control Architecture and Design for a Multi-robotic Visual Servoing System in Automated Manufacturing Environment
Rongfei Li
https://arxiv.org/abs/2506.11387

Control Architecture and Design for a Multi-robotic Visual Servoing System in Automated Manufacturing Environment
The use of robotic technology has drastically increased in manufacturing in the 21st century. But by utilizing their sensory cues, humans still outperform machines, especially in micro scale manufacturing, which requires high-precision robot manipulators. These sensory cues naturally compensate for high levels of uncertainties that exist in the manufacturing environment. Uncertainties in performing manufacturing tasks may come from measurement noise, model inaccuracy, joint compliance (e.g., el…

A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell, Y. P\'eresse
https://arxiv.org/abs/2506.11500 https://

A note on intrinsic topologies of groups
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. Answering a question by Dikranjan and Toller, we show that there exists a countable abelian group in which no bounded version of the Zariski topology coincides with the full Zariski topology. Complementing a recent result by Goffe and Greenfeld, we show that on any group with no algebraicity the semigroup Zariski topo…

An Introductory Survey of Recursions in the Computation of Resistance Distance
Emily J. Evans, Russell Jay Hendel
https://arxiv.org/abs/2506.12048 https://…

An Introductory Survey of Recursions in the Computation of Resistance Distance
This paper presents an introduction and expository account of a beautiful, current, and active application of recursions to the computation of resistance distance. Resistance distance, also referred to as effective resistance, is a well-known graph metric that arises naturally by considering a graph as an electrical circuit; heuristically resistance distance measures both the number of paths between two vertices in a graph and the cost of each path. This topic finds applications in a rich array…

G\"{o}del-type universes in unimodular gravity
R. Raimarda, A. F. Santos, R. Bufalo
https://arxiv.org/abs/2506.11717 https://arx…

Gödel-type universes in unimodular gravity
In this paper, the Gödel-type universes are examined within the framework of unimodular gravity. Since the existence of Gödel solutions is intrinsically related to the presence of a cosmological constant in general relativity, one can naturally wonder how the acausal structure of the Gödel solutions behaves in different cosmological scenarios. One of the simplest, but important, frameworks within this context is the unimodular gravity, in which the cosmological constant emerges as an integra…

A Gauge-Theoretic Action Principle for Viscous Incompressible Fluids
Rashmi R. Nayak
https://arxiv.org/abs/2506.11202 https://arxiv.o…

A Gauge-Theoretic Action Principle for Viscous Incompressible Fluids
We propose a novel action principle for two dimensional incompressible fluid dynamics that naturally incorporates both vorticity and viscous dissipation via gauge field couplings. The action features a Chern Simons like term, $ε^{μνρ} A_μ\partial_νA_ρ$, capturing the topological structure of vorticity, alongside a quadratic term $(ε^{μνρ} \partial_νA_ρ)^2$ representing viscous damping. Incompressibility is enforced through a Lagrange multiplier, while coupling to an external potent…

Language Surgery in Multilingual Large Language Models
Joanito Agili Lopo, Muhammad Ravi Shulthan Habibi, Tack Hwa Wong, Muhammad Ilham Ghozali, Fajri Koto, Genta Indra Winata, Peerat Limkonchotiwat, Alham Fikri Aji, Samuel Cahyawijaya
https://arxiv.org/abs/2506.12450

Language Surgery in Multilingual Large Language Models
Large Language Models (LLMs) have demonstrated remarkable generalization capabilities across tasks and languages, revolutionizing natural language processing. This paper investigates the naturally emerging representation alignment in LLMs, particularly in the middle layers, and its implications for disentangling language-specific and language-agnostic information. We empirically confirm the existence of this alignment, analyze its behavior in comparison to explicitly designed alignment models, …

Ultracategories via Kan extensions of relative monads
Umberto Tarantino, Joshua Wrigley
https://arxiv.org/abs/2506.09788 https://arxi…

Ultracategories via Kan extensions of relative monads
Many structured categories of interest are most naturally described as algebras for a relative monad, but turn out nonetheless to be algebras for an ordinary monad. We show that, under suitable hypotheses, the left oplax Kan extension of a relative 2-monad on categories yields a pseudomonad having the same category of colax algebras. In particular, we apply this to the study of ultracategories to recover the 'ultracompletion' pseudomonad.

Central limit theorems for the Euler characteristic in the Random Connection Model for higher-dimensional simplicial complexes
Dominik Pabst
https://arxiv.org/abs/2506.11918

Central limit theorems for the Euler characteristic in the Random Connection Model for higher-dimensional simplicial complexes
As generalizations of random graphs, random simplicial complexes have been receiving growing attention in the literature. In this paper, we naturally extend the Random Connection Model (RCM), a random graph that has been extensively studied for over three decades, to a random simplicial complex, recovering many models currently found in the literature as special cases. In this new model, we derive quantitative central limit theorems for a generalized Euler characteristic in various asymptotic s…

Learning The Minimum Action Distance
Lorenzo Steccanella, Joshua B. Evans, \"Ozg\"ur \c{S}im\c{s}ek, Anders Jonsson
https://arxiv.org/abs/2506.09276

Learning The Minimum Action Distance
This paper presents a state representation framework for Markov decision processes (MDPs) that can be learned solely from state trajectories, requiring neither reward signals nor the actions executed by the agent. We propose learning the minimum action distance (MAD), defined as the minimum number of actions required to transition between states, as a fundamental metric that captures the underlying structure of an environment. MAD naturally enables critical downstream tasks such as goal-conditi…

Instance-Specific Test-Time Training for Speech Editing in the Wild
Taewoo Kim, Uijong Lee, Hayoung Park, Choongsang Cho, Nam In Park, Young Han Lee
https://arxiv.org/abs/2506.13295

Instance-Specific Test-Time Training for Speech Editing in the Wild
Speech editing systems aim to naturally modify speech content while preserving acoustic consistency and speaker identity. However, previous studies often struggle to adapt to unseen and diverse acoustic conditions, resulting in degraded editing performance in real-world scenarios. To address this, we propose an instance-specific test-time training method for speech editing in the wild. Our approach employs direct supervision from ground-truth acoustic features in unedited regions, and indirect …

Orbital Pumping in Ferrimagnetic Insulators
Hanchen Wang, Min-Gu Kang, Davit Petrosyan, Shilei Ding, Richard Schlitz, Lauren J. Riddiford, William Legrand, Pietro Gambardella
https://arxiv.org/abs/2506.11878

Orbital Pumping in Ferrimagnetic Insulators
We report the detection of pure orbital currents generated by both coherent and thermal magnons in the magnetic insulator Bi-doped yttrium iron garnet (BiYIG). The pumping of orbital and spin currents is jointly investigated in nano-devices made of naturally oxidized Cu, pure Cu, Pt, and Cr. The absence of charge conduction in BiYIG and the negligible spin-to-charge conversion of oxidized Cu allows us to disambiguate the orbital current contribution. Comparative measurements on YIG and BiYIG sh…

#Moore bedecken nur etwa 3 bis 4 % der Erdoberfläche, speichern aber mehr #Kohlenstoff als alle #Wälder zusammen.
Doch viele Moore sind bedroht. Durch

World Peatland Day: Protecting a crucial carbon sink
Peatlands are one of the world’s biggest carbon sinks. These naturally waterlogged boggy swamps can hold thousands of years’ worth of compressed, partially decomposed vegetation matter — despite covering just 3-4% of Earth’s land surface, they’re thought to store more carbon per area than the world’s forests combined. In honor of World Peatland Day on […]

High-speed and high-connectivity two-qubit gates in long chains of trapped ions
Isabelle Savill-Brown, Joseph J. Hope, Alexander K. Ratcliffe, Varun D. Vaidya, Haonan Liu, Simon A. Haine, C. Ricardo Viteri, Zain Mehdi
https://arxiv.org/abs/2506.11385

High-speed and high-connectivity two-qubit gates in long chains of trapped ions
We present a theoretical study of fast all-to-all entangling gates in trapped-ion quantum processors, based on impulsive excitation of spin-dependent motion with broadband laser pulses. Previous studies have shown that such fast gate schemes are highly scalable and naturally performant outside the Lamb-Dicke regime, however are limited to nearest-neighbour operations. Here we demonstrate that impulsive spin-dependent excitation can be used to perform high-fidelity non-local entangling operation…

Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
Celina Pasiecznik
https://arxiv.org/abs/2506.09884 https://arxiv.o…

Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
We derive bounds on Wilson coefficients in gravitational effective field theories using fully crossing symmetric dispersion relations. These sum rules naturally isolate finite subsets of low-energy couplings without relying on the forward limit or specific high-energy completions. We validate our method by matching bounds computed previously for scalar scattering with gravity as well as for supergraviton scattering. For graviton scattering we use crossing symmetric functions that combine variou…

Gravitational Waves from Spectator Scalar Fields
Marcos A. G. Garcia, Sarunas Verner
https://arxiv.org/abs/2506.12126 https://arxiv.o…

Gravitational Waves from Spectator Scalar Fields
We propose a novel mechanism for gravitational wave (GW) production sourced by spectator scalar fields during inflation. These fields, while not driving cosmic expansion, generate blue-tilted isocurvature fluctuations that naturally satisfy current CMB constraints at large scales while producing enhanced power spectra at smaller scales accessible to GW detectors. The resulting GW spectrum spans an exceptionally broad frequency range from $10^{-20}$ to $1$ Hz, with amplitudes ranging from $Ω_{\…

This week’s edition of my @… newsletter shines a light on the impact of the Model Context Protocol (MCP) across multiple computing eras—leading right up to today.
We’ve arrived at a moment where loose coupling principles are cool (and super useful) again.
Naturally, there are some live demo nuggets in the post to help bring it all to life:
🔗

The Model Context Protocol: Bridging Generational Computing Experiences
The Model Context Protocol (MCP) is emerging as a transformative force in computing, with its significance uniquely appreciated across generational lines. This new protocol serves as crucial middleware for LLM-powered productivity tools, addressing needs that previous computing paradigms couldn't fu

Affine Deformations of Divisible Convex Cones and Affine Spacetimes
Antoine Ablondi
https://arxiv.org/abs/2506.12172 https://arxiv.or…

Affine Deformations of Divisible Convex Cones and Affine Spacetimes
Given a subgroup of $\mathrm{SL}(\mathbb{R}^{d+1})\ltimes\mathbb{R}^{d+1}$ obtained by adding a translation part to a torsion-free discrete subgroup of $\mathrm{SL}(\mathbb{R}^{d+1})$ dividing a convex domain in the sense of Benoist, we construct two maximal convex domains on which the affine action of that subgroup is free and properly continuous. We also introduce a notion of "affine spacetime" structure, with which quotients of those domains are naturally endowed. In that setting, we show th…

The notice specified you were casting for a flatulent character so naturally I assumed you would want a flatulent actor in the part.

Subcritical Turing bifurcation and the morphogenesis of localised patterns
V\'ictor Bre\~na-Medina, Alan Champneys
https://arxiv.org/abs/2506.07855 htt…

Subcritical Turing bifurcation and the morphogenesis of localised patterns
Subcritical Turing bifurcations of reaction-diffusion systems in large domains lead to spontaneous onset of well-developed localised patterns via the homoclinic snaking mechanism. This phenomenon is shown to occur naturally when balancing source and loss effects are included in a typical reaction-diffusion system, leading to a super/subcritical transition. Implications are discussed for a range of physical problems, arguing that subcriticality leads to naturally robust phase transitions to loca…

Homeomorphic Sobolev extensions and integrability of hyperbolic metric
Xilin Zhou
https://arxiv.org/abs/2506.10216 https://arxiv.org/…

Homeomorphic Sobolev extensions and integrability of hyperbolic metric
Very recently, it was proved that if the hyperbolic metric of a planar Jordan domain is $L^q$-integrable for some $q\in (1,\infty)$, then every homeomorphic parametrization of the boundary Jordan curve via the unit circle can be extended to a Sobolev homeomorphism of the entire disk. This naturally raises the question of whether the extension holds under more general integrability conditions on the hyperbolic metric. In this work, we examine the case where the hyperbolic metric is $ϕ$-inte…

2-Group Symmetries of 3-dimensional Defect TQFTs and Their Gauging
Nils Carqueville, Benjamin Haake
https://arxiv.org/abs/2506.08178 https://

2-Group Symmetries of 3-dimensional Defect TQFTs and Their Gauging
A large class of symmetries of topological quantum field theories is naturally described by functors into higher categories of topological defects. Here we study 2-group symmetries of 3-dimensional TQFTs. We explain that these symmetries can be gauged to produce new TQFTs iff certain defects satisfy the axioms of orbifold data. In the special case of Reshetikhin-Turaev theories coming from $G$-crossed braided fusion categories $\mathcal C^\times_G$, we show that there are 0- and 1-form symmetri…

QB Wilson a mentor for all Giants, not just Dart https://www.espn.com/nfl/story/_/id/45459241/wilson-natural-mentor-all-giants-not-just-rookie-dart

Study of Venera Spacecraft Trajectories and Wider Implications
Adam Hibberd
https://arxiv.org/abs/2506.09478 https://arxiv.org/pdf/25…

Study of Venera Spacecraft Trajectories and Wider Implications
Historically, there is no doubt that the early years of the USSR space program put them way ahead of the competition (the USA). Nonetheless, although this was not what the Russians wished to present to the world, the interplanetary campaign, centred around missions to the planet Venus (the Venera program) was also beset with difficulties. Many of the early Venera probes failed, despite making it to a heliocentric orbit, but naturally the success rate improved with time. The result is that there…

RoboEgo System Card: An Omnimodal Model with Native Full Duplexity
Yiqun Yao, Xiang Li, Xin Jiang, Xuezhi Fang, Naitong Yu, Aixin Sun, Yequan Wang
https://arxiv.org/abs/2506.01934

RoboEgo System Card: An Omnimodal Model with Native Full Duplexity
Humans naturally process real-world multimodal information in a full-duplex manner. In artificial intelligence, replicating this capability is essential for advancing model development and deployment, particularly in embodied contexts. The development of multimodal models faces two primary challenges: (1) effectively handling more than three modalities-such as vision, audio, and text; and (2) delivering full-duplex responses to rapidly evolving human instructions. To facilitate research on mode…

A Metric Framework for Triangle Inequalities via Barycentric Coordinates
Xi Feng
https://arxiv.org/abs/2506.10050 https://arxiv.org/p…

A Metric Framework for Triangle Inequalities via Barycentric Coordinates
This paper presents a unified metric-based framework for triangle geometric inequalities using barycentric coordinates. By interpreting classical inequalities as squared distances between points(a process termed metricization)we derive and refine numerous well-known inequalities. Furthermore, the squared-distance function ELD_I, measures distances from the incenter to points on the Euler line, also yielding generalized inequalities. The method offers geometric clarity and extends naturally to h…

This https://arxiv.org/abs/2505.22769 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

MAC-Gaze: Motion-Aware Continual Calibration for Mobile Gaze Tracking
Mobile gaze tracking faces a fundamental challenge: maintaining accuracy as users naturally change their postures and device orientations. Traditional calibration approaches, like one-off, fail to adapt to these dynamic conditions, leading to degraded performance over time. We present MAC-Gaze, a Motion-Aware continual Calibration approach that leverages smartphone Inertial measurement unit (IMU) sensors and continual learning techniques to automatically detect changes in user motion states and…

Tensor Stochastic Regression for High-dimensional Time Series via CP Decomposition
Shibo Li, Yao Zheng
https://arxiv.org/abs/2506.06919 https://

Tensor Stochastic Regression for High-dimensional Time Series via CP Decomposition
As tensor-valued data become increasingly common in time series analysis, there is a growing need for flexible and interpretable models that can handle high-dimensional predictors and responses across multiple modes. We propose a unified framework for high-dimensional tensor stochastic regression based on CANDECOMP/PARAFAC (CP) decomposition, which encompasses vector, matrix, and tensor responses and predictors as special cases. Tensor autoregression naturally arises as a special case within th…

Automorphisms of fine curve graphs of planar surfaces
Roberta Shapiro, Rohan Wadhwa, Arthur Wang, Yuchong Zhang
https://arxiv.org/abs/2506.06142 https://…

Automorphisms of fine curve graphs of planar surfaces
The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove that the automorphism group of the fine curve graph of a surface is naturally isomorphic to the homeomorphism group of the surface for boundaryless planar surfaces with at least 7 punctures.

Fading in the Flow: Suppression of cold gas growth in expanding galactic outflows
Alankar Dutta, Prateek Sharma, Max Gronke
https://arxiv.org/abs/2506.08545

Fading in the Flow: Suppression of cold gas growth in expanding galactic outflows
Multiwavelength observations reveal multiphase outflows that play a crucial role in redistributing gas and metals in and around galaxies. Theoretical modelling of such multiphase outflows often employs wind tunnel simulations of a spherical cold ($\sim 10^4 \ \rm K$) cloud facing a uniform hot ($\sim 10^6\ \rm K$) wind. However, outflows are naturally expanding and wind conditions change downstream -- a crucial aspect overlooked in most idealized simulations. To address this, we examine how an …

Tri-hypercharge versus tri-darkcharge
Duong Van Loi, A. E. C\'arcamo Hern\'andez, Van Que Tran, N. T. Duy
https://arxiv.org/abs/2506.12873 https://…

Tri-hypercharge versus tri-darkcharge
We propose a minimal, ultraviolet-complete, and renormalizable extension of the Standard Model, in which the three generations of ordinary fermions are distinguished by family-dependent hypercharges, while three right-handed neutrinos are separated by a dark gauge symmetry that is trivial for all Standard Model fields. This setup yields a fully flipped inert doublet model. The model naturally realizes a hybrid scotoseesaw mechanism that accounts for the smallness of neutrino masses and the larg…

Three quantities arising from B\'{e}zout's identity and resultants of integer polynomials
Zhiqian Liu, Xiaoting Li, Wenheng Liu, Min Sha
https://arxiv.org/abs/2506.10838

Three quantities arising from Bézout's identity and resultants of integer polynomials
In this paper, we study three quantities arising naturally from Bézout's identity, the resultant and the reduced resultant of two non-zero coprime integer polynomials. We establish several new divisibility relations among them. We also pose two conjectures by making computations.

This https://arxiv.org/abs/2505.14690 has been replaced.
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SGL: A Structured Graphics Language
This paper introduces SGL, a graphics language that is aesthetically similar to SQL. SGL is based on traditional grammars of graphics, as well as Vega-Lite's composition algebra. SGL demonstrates that the grammatical approach to graphics lends itself naturally to a SQL-like language. As a graphical counterpart to SQL, SGL facilitates the addition of visualization capabilities to SQL query interfaces. This paper presents components of the SGL language alongside examples. Comparisons to SQL and e…

Markov Blanket Density and Free Energy Minimization
Luca M. Possati
https://arxiv.org/abs/2506.05794 https://arxiv.org/pdf/2506.05794…

Markov Blanket Density and Free Energy Minimization
This paper presents a continuous, information-theoretic extension of the Free Energy Principle through the concept of Markov blanket density, i.e., a scalar field that quantifies the degree of conditional independence between internal and external states at each point in space (ranging from 0 for full coupling to 1 for full separation). It demonstrates that active inference dynamics (including the minimization of variational and expected free energy) naturally emerge from spatial gradients in t…

AliBoost: Ecological Boosting Framework in Alibaba Platform
Qijie Shen, Yuanchen Bei, Zihong Huang, Jialin Zhu, Keqin Xu, Boya Du, Jiawei Tang, Yuning Jiang, Feiran Huang, Xiao Huang, Hao Chen
https://arxiv.org/abs/2506.00954

AliBoost: Ecological Boosting Framework in Alibaba Platform
Maintaining a healthy ecosystem in billion-scale online platforms is challenging, as users naturally gravitate toward popular items, leaving cold and less-explored items behind. This ''rich-get-richer'' phenomenon hinders the growth of potentially valuable cold items and harms the platform's ecosystem. Existing cold-start models primarily focus on improving initial recommendation performance for cold items but fail to address users' natural preference for popular content. In this paper, we intr…

This https://arxiv.org/abs/2310.18730 has been replaced.
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Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular, in the case of essentially bounded divergence-measure fields, the functions may not be of bounded variation. This naturally leads to the definition of $BV$-like function classes on which these pairings are well defined. Despite the lack of fine properties for such functions, our pairings surprisingly preserve many f…

Generalized Symmetries in Shallow Water
V. Taghiloo, M. H. Vahidinia
https://arxiv.org/abs/2506.09190 https://arxiv.org/pdf/2506.0919…

Generalized Symmetries in Shallow Water
Recent developments have extended the concept of global symmetries in several directions, offering new perspectives across a wide range of physical systems. This work shows that generalized global symmetries naturally emerge in shallow water systems. In particular, we demonstrate that both global and gauge subsystem symmetries-previously studied primarily in exotic field theories-arise intrinsically in the dynamics of shallow water flows. A central result is that the local conservation of poten…

High-Speed Ultra-Energy-Efficient Memristor-Based Massive MIMO SIC Detector Circuit with Hybrid Analog-Digital Computing Architecture
Jia-Hui Bi, Shaoshi Yang, Sheng Chen, Ping Zhang
https://arxiv.org/abs/2506.03495

High-Speed Ultra-Energy-Efficient Memristor-Based Massive MIMO SIC Detector Circuit with Hybrid Analog-Digital Computing Architecture
The emerging memristor crossbar array based computing circuits exhibit computing speeds and energy efficiency far surpassing those of traditional digital processors. This type of circuits can complete high-dimensional matrix operations in an extremely short time through analog computing, making it naturally applicable to linear detection and maximum likelihood detection in massive multiple-input multiple-output (MIMO) systems. However, the challenge of employing memristor crossbar arrays to eff…

This https://arxiv.org/abs/2304.14990 has been replaced.
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Robust Stackelberg Equilibria
This paper provides a systematic study of the robust Stackelberg equilibrium (RSE), which naturally generalizes the widely adopted solution concept of the strong Stackelberg equilibrium (SSE). The RSE accounts for any possible up-to-$δ$ suboptimal follower responses in Stackelberg games and is adopted to improve the robustness of the leader's strategy. While a few variants of robust Stackelberg equilibrium have been considered in previous literature, the RSE solution concept we consider is imp…

On the local representation theory of symmetric groups
Greta Tendi
https://arxiv.org/abs/2506.04773 https://arxiv.org/pdf/2506.04773

On the local representation theory of symmetric groups
Given a Sylow $p$-subgroup $P$ of a symmetric group, we describe the action of its normalizer on $\mathrm{Irr}(P)$. To this end, we establish a one-to-one correspondence between the irreducible characters of $P$ and certain equivalence classes of explicitly defined functions, which are also naturally suited to describing the Galois action.

Controller Design for Bilinear Neural Feedback Loops
Dhruv Shah, Jorge Cort\'es
https://arxiv.org/abs/2505.24106 https://arxiv.or…

Controller Design for Bilinear Neural Feedback Loops
This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller design framework that combines linear fractional representations and tools from linear parameter varying control to guarantee local exponential stability of a desired equilibrium. The controller is obtained from the solution of linear matrix inequalities, whic…

Phase separation in a mixture of proliferating and motile active matter
Lukas Hupe, Joanna M. Materska, David Zwicker, Ramin Golestanian, Bartlomiej Waclaw, Philip Bittihn
https://arxiv.org/abs/2506.05288

Phase separation in a mixture of proliferating and motile active matter
Proliferation and motility are ubiquitous drivers of activity in biological systems. Here, we study a dense binary mixture of motile and proliferating particles with exclusively repulsive interactions, where homeostasis in the proliferating subpopulation is maintained by pressure-induced removal. Using computer simulations, we show that phase separation emerges naturally in this system at high density and weak enough self-propulsion. We show that condensation is caused by interactions between m…

A priori error estimates for the $\theta$-method for the flow of nonsmooth velocity fields
Gennaro Ciampa, Tommaso Cortopassi, Gianluca Crippa, Raffaele D'Ambrosio, Stefano Spirito
https://arxiv.org/abs/2506.02747

A priori error estimates for the $θ$-method for the flow of nonsmooth velocity fields
Velocity fields with low regularity (below the Lipschitz threshold) naturally arise in many models from mathematical physics, such as the inhomogeneous incompressible Navier-Stokes equations, and play a fundamental role in the analysis of nonlinear PDEs. The DiPerna-Lions theory ensures existence and uniqueness of the flow associated with a divergence-free velocity field with Sobolev regularity. In this paper, we establish a priori error estimates showing a logarithmic rate of convergence of nu…

Wormhole Solutions and pre-inflationary in $F(R, T)$ Gravity with Axion Fields
Guo-He Li, Yeqi Fang, Yuchi Wu, Jun Tao
https://arxiv.org/abs/2506.09310 htt…

Wormhole Solutions and pre-inflationary in $F(R, T)$ Gravity with Axion Fields
In this study, we investigate wormhole solutions and inflationary initial conditions in the coupled axion-inflaton/scalar field system within $F(R,T)$ gravity. Notably, the Euclidean action is reduced by approximately $10^5$ compared with the GR case. In Euclidean AdS spacetime, we construct Euclidean (semi-)wormhole geometries that naturally set inflationary initial conditions. To enhance the probability of sustained inflation and address the short inflation duration issue in the no-boundary p…

Changing Bases with Pipe Dream Combinatorics
Anna Weigandt
https://arxiv.org/abs/2506.07306 https://arxiv.org/pdf/2506.07306

Changing Bases with Pipe Dream Combinatorics
Lascoux and Schützenberger introduced Schubert and Grothendieck polynomials to study the cohomology and K-theory of the complete flag variety. We present explicit combinatorial rules for expressing Grothendieck polynomials in the basis of Schubert polynomials, and vice versa, using the bumpless pipe dreams (BPDs) of Lam, Lee, and Shimozono. A key advantage of BPDs is that they are naturally back stable, which allows us to give a combinatorial formula for expanding back stable Grothendieck poly…

This https://arxiv.org/abs/2505.06459 has been replaced.
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Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
Physics-Informed Neural Networks (PINNs) have been widely used to obtain solutions to various physical phenomena modeled as Differential Equations. As PINNs are not naturally equipped with mechanisms for Uncertainty Quantification, some work has been done to quantify the different uncertainties that arise when dealing with PINNs. In this paper, we use a two-step procedure to train Bayesian Neural Networks that provide uncertainties over the solutions to differential equation systems provided by…

Elliptic constant cycle curves on Kummer surfaces
Jiexiang Huang
https://arxiv.org/abs/2506.06260 https://arxiv.org/pdf/2506.06260

Elliptic constant cycle curves on Kummer surfaces
The order of a constant cycle curve $C \subset X$ on a K3 surface, defined by Huybrechts, is a positive integer that measures the obstruction to decomposing the diagonal class $Δ_C$ in the Chow group $\mathrm{CH}^2(X \times C)$. In this paper, we compute the order of elliptic constant cycle curves that naturally arise on Kummer surfaces, by passing to the transcendental intermediate Jacobian $J_{\mathrm{tr}}^3(X \times C)$. As a consequence, every $n \in \mathbb{N}$ can be realized as the orde…

The bunkbed conjecture still holds for cactus graphs and for graphs with certain biconnected components
Robin Denart
https://arxiv.org/abs/2506.09264 https…

The bunkbed conjecture still holds for cactus graphs and for graphs with certain biconnected components
Recently, the bunkbed conjecture has been shown to be false, which naturally prompts questions on how to classify the graphs that still satisfy the conjecture. We distinguish between a weak version of the bunkbed conjecture where all the horizontal edges of the bunkbed graph are present with the same probability and a strong version of the conjecture where the edge weights on the underlying graph may be assigned individually. We show that any given graph satisfies either version of the conjectu…

This https://arxiv.org/abs/2505.22769 has been replaced.
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MAC-Gaze: Motion-Aware Continual Calibration for Mobile Gaze Tracking
Mobile gaze tracking faces a fundamental challenge: maintaining accuracy as users naturally change their postures and device orientations. Traditional calibration approaches, like one-off, fail to adapt to these dynamic conditions, leading to degraded performance over time. We present MAC-Gaze, a Motion-Aware continual Calibration approach that leverages smartphone Inertial measurement unit (IMU) sensors and continual learning techniques to automatically detect changes in user motion states and…

This https://arxiv.org/abs/2310.16918 has been replaced.
initial toot: https://mastoxiv.page/@a…

Geodynamics and artificial gravity in space-time crystals under slow perturbation and deformation
We present a theory of geodynamics in a space-time crystal based on an event wave packet constructed from the Floquet-Bloch waves, which not only involve a scalar dispersion function but also a Berry curvature tensor in the phase space manifold of space-time and the reciprocal quasi energy-momentum. In the presence of structural deformation, this theory is naturally extended into a covariant form with the introduction of a lattice connection constructed out of the gradients of the local lattice…

Design Tradeoffs in Photonically Linked Qubit Networks
Ely Novakoski, Jungsang Kim
https://arxiv.org/abs/2506.06268 https://arxiv.org…

Design Tradeoffs in Photonically Linked Qubit Networks
Quantum networking can be realized by distributing pairs of entangled qubits between remote quantum processing nodes. Devoted communication qubits within each node can naturally interface with photons which bus quantum information between nodes. With the introduction of CQED to enhance interactions between communication qubits and photons, advanced protocols capable of achieving high entanglement distribution rates with high fidelity become feasible. In this paper, we consider two such protocol…

RT-VC: Real-Time Zero-Shot Voice Conversion with Speech Articulatory Coding
Yisi Liu, Chenyang Wang, Hanjo Kim, Raniya Khan, Gopala Anumanchipalli
https://arxiv.org/abs/2506.10289

RT-VC: Real-Time Zero-Shot Voice Conversion with Speech Articulatory Coding
Voice conversion has emerged as a pivotal technology in numerous applications ranging from assistive communication to entertainment. In this paper, we present RT-VC, a zero-shot real-time voice conversion system that delivers ultra-low latency and high-quality performance. Our approach leverages an articulatory feature space to naturally disentangle content and speaker characteristics, facilitating more robust and interpretable voice transformations. Additionally, the integration of differentia…

Sharper Convergence Rates for Nonconvex Optimisation via Reduction Mappings
Evan Markou, Thalaiyasingam Ajanthan, Stephen Gould
https://arxiv.org/abs/2506.08428

Sharper Convergence Rates for Nonconvex Optimisation via Reduction Mappings
Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be exploited through reduction mappings that reparametrise part of the parameter space to lie on the solution manifold. These reductions naturally arise from inner optimisation problems and effectively remove redundant directions, yielding a lower-dimensional obje…

Regge factorization of tree-level QCD amplitudes using a minimal set of lightcone variables
Emmet P. Byrne, Vittorio Del Duca, Einan Gardi, Yuyu Mo, Jennifer M. Smillie
https://arxiv.org/abs/2506.10644

Regge factorization of tree-level QCD amplitudes using a minimal set of lightcone variables
We represent the multi-leg tree-level amplitudes of quarks and gluons using a minimal set of lightcone variables, which incorporate all on-shell and momentum conservation conditions and naturally captures the separate longitudinal and transverse momentum components. These variables make it easy to eliminate spurious poles and consider multi-Regge kinematic limits. In this framework we examine the factorization of tree-level amplitudes in rapidity and extract all two, three and four parton Multi…

This https://arxiv.org/abs/2503.17274 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Composable Uncertainty in Symmetric Monoidal Categories for Design Problems
Applied category theory often studies symmetric monoidal categories (SMCs) whose morphisms represent open systems. These structures naturally accommodate complex wiring patterns, leveraging (co)monoidal structures for splitting and merging wires, or compact closed structures for feedback. A key example is the compact closed SMC of design problems (DP), which enables a compositional approach to co-design in engineering. However, in practice, the systems of interest may not be fully known. Recent…

Probing quantum geometry with two-dimensional nonlinear optical spectroscopy
Paul Froese, Mark R. Hirsbrunner, Yong Baek Kim
https://arxiv.org/abs/2506.05462

Probing quantum geometry with two-dimensional nonlinear optical spectroscopy
Recent studies have shown that the nonlinear optical response of crystalline systems is fundamentally a quantum geometric property. In this work, we propose two-dimensional coherent spectroscopy (2DCS), which measures the nonlinear conductivity as a function of two independent frequencies using two time-delayed light pulses, as a probe of quantum geometry. We show how the two-frequency second-order nonlinear conductivity, which is naturally measured by 2DCS, decomposes into distinct quantum geo…

This https://arxiv.org/abs/2411.11261 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones
In this article we classify totally geodesic submanifolds of homogeneous nearly Kähler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniques for the study of totally geodesic submanifolds of analytic Riemannian manifolds, naturally reductive homogeneous spaces, and Riemannian cones. In particular, we obtain an example of a totally geodesic submanifold with self-intersections in a simply connected homogeneous space.

This https://arxiv.org/abs/2505.15672 has been replaced.
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Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
We present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of the isotropic oscillator (for positive, purely imaginary and zero frequency) and one of its possible deformations. We show that such a Lie algebra appears naturally also within the context of maximally superintegrable discretizations of the isotropic harmonic oscillator. After an in-depth analysis of the properties characterizing the Lie algebra in the purely abstract setting, we construct explicit iso…

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning
Shujun Zhou, Guozhang Chen
https://arxiv.org/abs/2506.04943

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning
The hippocampus encodes space through a striking gradient of place field sizes along its dorsal-ventral axis, yet the principles generating this continuous gradient from discrete grid cell inputs remain debated. We propose a unified theoretical framework establishing that hippocampal place fields arise naturally as linear projections of grid cell population activity, interpretable as eigenmodes. Critically, we demonstrate that a frequency-dependent decay of these grid-to-place connection weight…

Reluctant Interaction Inference after Additive Modeling
Yiling Huang, Snigdha Panigrahi, Guo Yu, Jacob Bien
https://arxiv.org/abs/2506.01219 https://

Reluctant Interaction Inference after Additive Modeling
Additive models enjoy the flexibility of nonlinear models while still being readily understandable to humans. By contrast, other nonlinear models, which involve interactions between features, are not only harder to fit but also substantially more complicated to explain. Guided by the principle of parsimony, a data analyst therefore may naturally be reluctant to move beyond an additive model unless it is truly warranted. To put this principle of interaction reluctance into practice, we formula…

Minimal Pair-Based Evaluation of Code-Switching
Igor Sterner, Simone Teufel
https://arxiv.org/abs/2506.01840 https://arxiv.org/pdf/25…

Minimal Pair-Based Evaluation of Code-Switching
There is a lack of an evaluation methodology that estimates the extent to which large language models (LLMs) use code-switching (CS) in the same way as bilinguals. Existing methods do not have wide language coverage, fail to account for the diverse range of CS phenomena, or do not scale. We propose an intervention based on minimal pairs of CS. Each minimal pair contains one naturally occurring CS sentence and one minimally manipulated variant. We collect up to 1,000 such pairs each for 11 langu…

This https://arxiv.org/abs/2411.08295 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Improving the convergence of Markov chains via permutations and projections
This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains arises naturally as a projection under the KL divergence or the squared-Frobenius norm. We then compare various mixing properties of the mixture with other competing Markov chain samplers and demonstrate that it enjoys improved convergence. This geometric perspective motivates us to propose samplers based …

This https://arxiv.org/abs/2502.12010 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hyperplane arrangements and the Gauss map of a pencil
We show that the coefficients of the characteristic polynomial of a central hyperplane arrangement $\mathcal A$, coincide with the multidegrees of the Gauss map of a pencil of hypersurfaces naturally associated to $\mathcal A$. As a consequence, we obtain a proof of the Heron-Rota-Welsh conjecture for matroids representable over a field of characteristic zero.

Machine Learning Left-Right Breaking from Gravitational Waves
William Searle, Csaba Bal\'azs, Yang Xiao, Yang Zhang
https://arxiv.org/abs/2506.09319 ht…

Machine Learning Left-Right Breaking from Gravitational Waves
First-order phase transitions in the early universe can generate stochastic gravitational waves (GWs), offering a unique probe of high-scale particle physics. The Left-Right Symmetric Model (LRSM), which restores parity symmetry at high energies and naturally incorporates the seesaw mechanism, allows for such transitions -- particularly during the spontaneous breaking of $SU(2)_R \times SU(2)_L \times U(1)_{B-L} \to SU(2)_L \times U(1)_Y$. This initial step, though less studied, is both theoret…

This https://arxiv.org/abs/2412.01263 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Extended Weyl Symmetry
The Abelian gauge symmetry proposed by Hermann Weyl is extended to a more general form. Afterwards the standard model is generalized to incorporate the newly defined symmetry. This symmetry extension brings new gauge particles that can be potential candidates for the dark matter. It also naturally introduces a second scalar field into the theory. The breaking of the Weyl symmetry turns this scalar field into a dimensional constant, making the Higgs as the only scalar component in the standard m…

This https://arxiv.org/abs/2403.05284 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Gravity as a deformed topological gauge theory
We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the Nieh-Yan term. Considering symmetric spaces parametrized by mutations allows to naturally obtain a bare cosmological constant which in particular cases gives rise to a positive effective cosmological constant while having an AdS spacetime. Two examples are st…

Emergent gravity and gravitational lensing in quantum materials
Yugo Onishi, Nisarga Paul, Liang Fu
https://arxiv.org/abs/2506.04335 https://

Emergent gravity and gravitational lensing in quantum materials
We show that an effective gravitational field naturally emerges in quantum materials with long-wavelength spin (or pseudospin) textures. When the itinerant electrons' spin strongly couples to the background spin texture, it effectively behaves as a spinless particle in a curved space, with the curvature arising from quantum corrections to the electron's spin orientation. The emergent gravity gives rise to the electron lensing effect, an analog of the gravitational lensing. Our work shows that n…

This https://arxiv.org/abs/2503.16688 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Random bipartite graphs with i.i.d. weights and applications to inhomogeneous random intersection graphs
We propose a random bipartite graph with weights assigned to both parts of the vertex sets. Edges are formed independently with probabilities that depend on these weights. This bipartite graph naturally gives rise to a random intersection graph which has nontrivial clustering properties and inhomogeneous vertex degrees. We focus on the situation where the weights are themselves i.i.d. random variables. In the so-called moderate clustering regime, we identify three types of scaling limit for the…

A Newton Augmented Lagrangian Method for Symmetric Cone Programming with Complexity Analysis
Rui-Jin Zhang, Ruoyu Diao, Xin-Wei Liu, Yu-Hong Dai
https://arxiv.org/abs/2506.04802

A Newton Augmented Lagrangian Method for Symmetric Cone Programming with Complexity Analysis
Symmetric cone programming incorporates a broad class of convex optimization problems, including linear programming, second-order cone programming, and semidefinite programming. Although the augmented Lagrangian method (ALM) is well-suited for large-scale scenarios, its subproblems are often not second-order continuously differentiable, preventing direct use of classical Newton methods. To address this issue, we observe that barrier functions from interior-point methods (IPMs) naturally serve a…

An Aubin-Yau theorem for transversally K\"ahler foliations
Vlad Marchidanu
https://arxiv.org/abs/2506.03987 https://arxiv.org/pd…

An Aubin-Yau theorem for transversally Kähler foliations
Transversally Kähler foliations are a generalisation of Kähler manifolds, appearing naturally in the complex non-Kähler setting. We give a self-contained proof of how the classical methods used in the proof of the Aubin-Yau theorem adapt to the transversally Kähler case under the homological orientability condition. We apply this result to obtain a new, simpler proof of the already known Vaisman Aubin-Yau theorem.

Flavour and cosmological probes of Diracon models
Salvador Centelles Chuli\'a, Tim Herbermann, Antonio Herrero-Brocal, Avelino Vicente
https://arxiv.org/abs/2506.06449

Flavour and cosmological probes of Diracon models
We present and analyze two minimal extensions of the Standard Model featuring a spontaneously broken global, chiral, and anomaly-free $U(1)_D$ symmetry. This breaking generates naturally small Dirac neutrino masses via a seesaw mechanism and yields a physical massless Goldstone boson, the Diracon. Although both models share the same particle content and scalar potential, their distinct symmetry breaking pattern leads to remarkably different phenomenological and cosmological signatures. In the f…

The Role of Berry Phases in the QCD Vacuum Structure
J. Gamboa
https://arxiv.org/abs/2506.00078 https://arxiv.org/pdf/2506.00078

The Role of Berry Phases in the QCD Vacuum Structure
We revisit the origin of the vacuum angle $θ$ in QCD using the adiabatic approximation combined with Fujikawa's method. By implementing a local chiral transformation and selecting a constant parameter $α(x) = θ$, we show that the QCD $θ$-term emerges naturally in the effective action. This construction provides a non-perturbative interpretation of the axial anomaly and highlights the role of the adiabatic gauge condition in isolating the topological sector of the theory. As a consequence, t…

This https://arxiv.org/abs/2505.03551 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
While Liouville's theorem is first-order in time for the phase-space distribution itself, the relativistic mass-shell constraint $p^μp_μ= m^2$ is naively second-order in energy. We argue that it is reasonable to unify both energy branches within a single Hamiltonian by factorizing $(p^2 - m^2)$ in analogy with Dirac's approach in relativistic quantum mechanics. We show the resulting matrix-based Liouville equation remains first order and naturally yields a $4\times4$ matrix-valued probability…

$\mathrm{SL}(2,\mathbb{R})$ families of Kerr black holes
Robert Penna
https://arxiv.org/abs/2506.00184 https://arxiv.org/pdf/2506.001…

$\mathrm{SL}(2,\mathbb{R})$ families of Kerr black holes
The stationary, axisymmetric sector of vacuum general relativity (with zero cosmological constant) enjoys an $\mathrm{SL}(2,\mathbb{R})$ symmetry called the Matzner-Misner group. We study the action of the Matzner-Misner group on the Kerr black hole. We show that the group acts naturally on a three parameter generalization of the usual two parameter Kerr solution. The new parameter represents a large diffeomorphism which gives the spacetime an asymptotic angular velocity. We explain how the $\m…

Conformally compact metrics and the Lovelock tensors
Xinran Yu
https://arxiv.org/abs/2505.24188 https://arxiv.org/pdf/2505.24188

Conformally compact metrics and the Lovelock tensors
We study conformally compact metrics satisfying the Lovelock equations, which generalize the Einstein equation. We show that these metrics admit polyhomogeneous expansions, thereby naturally realizing the Fefferman-Graham expansion, which is an important tool in conformal geometry and the AdS/CFT correspondence. In even dimensions, we identify a boundary obstruction to smoothness near the boundary that generalizes the ambient obstruction tensor in the Einstein setting. Under appropriate regular…

This https://arxiv.org/abs/2502.01760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Type-II Seesaw Mechanism for Dirac Neutrinos and its Implications on $N_{\text{eff}}$ and Lepton Flavor Violation in a 3-3-1 model
In this study, we implement the type-II seesaw mechanism for Dirac neutrino masses within the framework of a 3-3-1 model. To this end, we introduce a scalar sextet and impose both lepton number conservation and invariance under a discrete $Z_2$ symmetry in the Lagrangian. This mechanism naturally generates small Dirac neutrino masses by allowing the soft breaking of the $Z_2$ symmetry through a unique term in the scalar potential, while preserving lepton number. Specifically, we explore the rea…

Parametric Coincidence in the Baryon to Dark Matter Ratio from Affleck-Dine Baryogenesis and UV Freeze-in Dark Matter
Jae Hyeok Chang, Chang Sub Shin, James Unwin
https://arxiv.org/abs/2506.03269

Parametric Coincidence in the Baryon to Dark Matter Ratio from Affleck-Dine Baryogenesis and UV Freeze-in Dark Matter
We highlight that the observed concurrence between the baryon and dark matter relic densities can be explained via a parametric coincidence between two distinct production mechanisms: Affleck-Dine baryogenesis and dark matter UV freeze-in. In the Affleck-Dine mechanism, the baryon asymmetry is naturally proportional to the inflationary reheating temperature $T_{\rm rh}$, which also plays a critical role in setting the relic abundance of UV freeze-in dark matter. Since Affleck-Dine baryogenesis …

Revisiting Isocurvature Bounds on the Minimal QCD Axion
Peter W. Graham, Davide Racco
https://arxiv.org/abs/2506.03348 https://arxiv.…

Revisiting Isocurvature Bounds on the Minimal QCD Axion
The QCD axion has important connections to early universe cosmology. For example, it is often said that isocurvature limits rule out a combination of high axion decay constant, $f_a$, and high inflationary Hubble scale, $H_I$. High scales are theoretically motivated, so it is important to ask how robust this constraint is. We demonstrate that this constraint is naturally evaded when the quartic coupling of the complex $U(1)_\mathrm{PQ}$-breaking field is small. In this case, $f_a$ changes from …