Tootfinder

High-friction limit for bipolar Euler-Riesz systems
Nuno J. Alves, Jan Haskovec
https://arxiv.org/abs/2509.05742 https://arxiv.org/pdf/2509.05742

High-friction limit for bipolar Euler-Riesz systems
We consider a bipolar Euler-Riesz system and rigorously justify the high-friction limit of weak solutions towards a bipolar aggregation-diffusion system with Riesz interactions. The analysis is carried out via the relative entropy method in the regime where smooth solutions of the limiting equations exist. This extends previous results on the high-friction limit of bipolar Euler-Poisson systems to a more general class of interactions, and extends the one-species Euler-Riesz case to the bipolar …

Scalability and asymptotic adjunction
Georgii S. Makeev
https://arxiv.org/abs/2510.07883 https://arxiv.org/pdf/2510.07883

Scalability and asymptotic adjunction
In this paper, we introduce relative Roe functors and show that for every pair of scalable proper metric spaces, the functor of continuous functions and the relative Roe functor, both associated with this pair, are asymptotically adjoint. While this asymptotic adjunction is weaker than the genuine one, it retains sufficient categorical properties to be intuitive and useful in applications. These results can be used to provide an unsuspended description of the Connes-Higson $E$-theory, establish…

Reinforcing Diffusion Models by Direct Group Preference Optimization
Yihong Luo, Tianyang Hu, Jing Tang
https://arxiv.org/abs/2510.08425 https://arxiv.org/…

Reinforcing Diffusion Models by Direct Group Preference Optimization
While reinforcement learning methods such as Group Relative Preference Optimization (GRPO) have significantly enhanced Large Language Models, adapting them to diffusion models remains challenging. In particular, GRPO demands a stochastic policy, yet the most cost-effective diffusion samplers are based on deterministic ODEs. Recent work addresses this issue by using inefficient SDE-based samplers to induce stochasticity, but this reliance on model-agnostic Gaussian noise leads to slow convergenc…

Consensus as cooling: a granular gas model for continuous opinions on structured networks
Carlos Uriarte, Pablo Rodriguez-Lopez, Nagi Khalil
https://arxiv.org/abs/2510.06807 htt…

Consensus as cooling: a granular gas model for continuous opinions on structured networks
A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours. The proposed dynamics depends on two fundamental parameters, $α\in[-1,1]$ and $β\ge 0$. If an interaction takes place between two agents, their relative opinions decreases an amount given by $α$. The probability of two neighbours to interact is proportional …

Infinite Interacting Brownian Motions and EVI Gradient Flows
Kohei Suzuki
https://arxiv.org/abs/2509.06869 https://arxiv.org/pdf/2509.06869

Infinite Interacting Brownian Motions and EVI Gradient Flows
We provide a sufficient condition under which the time marginal of the law of $μ$-symmetric diffusion process $\mathsf{X}$ in the infinite dimensional configuration space $\mathbf Υ$ is the unique Wasserstein $\mathsf{W}_{2, \mathsf{d}_\mathbfΥ}$ $\mathsf{EVI}$-gradient flow of the relative entropy (a.k.a. Kullback-Leibler divergence) $\mathrm{Ent}_μ$ on the space $P(\mathbf Υ)$ of probability measures on $\mathbf Υ$. Here, $\mathbf Υ$ is equipped with the $\ell^2$-matching extended dist…

Combination of searches for nonresonant Higgs boson pair production in proton-proton collisions at $\sqrt{s}$= 13 TeV
CMS Collaboration
https://arxiv.org/abs/2510.07527 https://…

Combination of searches for nonresonant Higgs boson pair production in proton-proton collisions at $\sqrt{s}$= 13 TeV
This paper presents a combination of searches for the nonresonant production of Higgs boson pairs (HH) in proton-proton collisions at a centre-of-mass energy of 13 TeV. The data set was collected by the CMS experiment at the LHC from 2016 to 2018 and corresponds to a total integrated luminosity of 138 fb$^{-1}$. The observed (expected) upper limit on the inclusive HH production cross section relative to the standard model (SM) prediction is found to be 3.5 (2.5). Assuming all other Higgs boson …

Aleatoric Uncertainty from AI-based 6D Object Pose Predictors for Object-relative State Estimation
Thomas Jantos, Stephan Weiss, Jan Steinbrener
https://arxiv.org/abs/2509.01583

Aleatoric Uncertainty from AI-based 6D Object Pose Predictors for Object-relative State Estimation
Deep Learning (DL) has become essential in various robotics applications due to excelling at processing raw sensory data to extract task specific information from semantic objects. For example, vision-based object-relative navigation relies on a DL-based 6D object pose predictor to provide the relative pose between the object and the robot as measurements to the robot's state estimator. Accurately knowing the uncertainty inherent in such Deep Neural Network (DNN) based measurements is essential…

Crystallization in the Winterbottom shape and sharp fluctuation laws
Manuel Friedrich, Leonard Kreutz, Ulisse Stefanelli
https://arxiv.org/abs/2509.05642 https://

Crystallization in the Winterbottom shape and sharp fluctuation laws
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength $β>0$ couples the particles and the substrate. Our first main result proves crystallization for all $β>0$, corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from […

Remember the days when this would be a career ending thing to have printed about you in the news?
https://pubeurope.com/@europesays/114989075805614052

Europe Says (@europesays@pubeurope.com)
Attached: 1 image https://www.europesays.com/2310481/ GOP Senator Under Fire For Changing Child Rape Law to Help a Relative Who Raped a Minor #AnythingGoesNews #BreakingNews #GlobalNews #LatestNews #News #WorldNews

The Relative Instability of Model Comparison with Cross-validation
Alexandre Bayle, Lucas Janson, Lester Mackey
https://arxiv.org/abs/2508.04409 https://ar…

The Relative Instability of Model Comparison with Cross-validation
Existing work has shown that cross-validation (CV) can be used to provide an asymptotic confidence interval for the test error of a stable machine learning algorithm, and existing stability results for many popular algorithms can be applied to derive positive instances where such confidence intervals will be valid. However, in the common setting where CV is used to compare two algorithms, it becomes necessary to consider a notion of relative stability which cannot easily be derived from existin…

🇺🇦 #NowPlaying on KEXP's #MiddayShow
The Weakerthans:
🎵 Relative Surplus Value
#TheWeakerthans
https://theweakerthans.bandcamp.com/track/relative-surplus-value
https://open.spotify.com/track/6scM1MQ3MQ77HVFAN5szou

Quantum $f$-divergences and Their Local Behaviour: An Analysis via Relative Expansion Coefficients
Paula Belzig, Shreyas Iyer, Graeme Smith, Peixue Wu
https://arxiv.org/abs/2510.06183

Quantum $f$-divergences and Their Local Behaviour: An Analysis via Relative Expansion Coefficients
Any reasonable measure of distinguishability of quantum states must satisfy a data processing inequality, that is, it must not increase under the action of a quantum channel. We can ask about the proportion of information lost or preserved and this leads us to study contraction and expansion coefficients respectively, which can be combined into a single \emph{relative expansion coefficient} for study. We focus on two prominent families: (i) standard quantum $f$ divergences and (ii) their local …

$\lambda$-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
Yining Wang, Jinman Zhao, Chuangxin Zhao, Shuhao Guan, Gerald Penn, Shinan Liu
https://arxiv.org/abs/2510.06870

$λ$-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
Reinforcement Learning with Human Feedback (RLHF) has been the dominant approach for improving the reasoning capabilities of Large Language Models (LLMs). Recently, Reinforcement Learning with Verifiable Rewards (RLVR) has simplified this paradigm by replacing the reward and value models with rule-based verifiers. A prominent example is Group Relative Policy Optimization (GRPO). However, GRPO inherently suffers from a length bias, since the same advantage is uniformly assigned to all tokens of …

A Galactic Perspective on the (Unremarkable) Relative Refractory Depletion Observed in the Sun
Rayna Rampalli, James W. Johnson, Melissa K. Ness, Graham H. Edwards, Elisabeth R. Newton, Emily J. Griffith, Megan Bedell, Kaile Wang
https://arxiv.org/abs/2509.03577

A Galactic Perspective on the (Unremarkable) Relative Refractory Depletion Observed in the Sun
Over the last two decades, the Sun has been observed to be depleted in refractory elements as a function of elemental condensation temperature (\tcond) relative to $\sim 80\%$ of its counterparts. We assess the impact of Galactic chemical evolution (GCE) on refractory element--\tcond\ trends for 109,500 unique solar analogs from the GALAH, APOGEE, Gaia RVS, and \cite{bedell18} surveys. We find that a star's \feh\ and \alphafe\ are indicators of its \tcond\ slope (\rsq\ = $15 \pm 5$, $23 \pm 10\…

Uniformly-S-projective relative to a module and its dual
Mohammad Adarbeh, Mohammad Saleh
https://arxiv.org/abs/2509.01646 https://arxiv.org/pdf/2509.01646…

Uniformly-S-projective relative to a module and its dual
In this article, we introduce the notion of u-S-projective relative to a module. Let S be a multiplicative subset of a ring R and M an R-module. An R-module P is said to be u-S-projective relative to M if for any u-S-epimorphism f : M \to N, the induced map HomR(P, f) : HomR(P,M) \to HomR(P,N) is u-S-epimorphism. Dually, we also introduce u-S-injective relative to a module. Some properties of these notions are discussed. Several characterizations of u-S-semisimple modules in terms of these no…

Quantum Mpemba effect in a four-site Bose-Hubbard model
Asad Ali, M. I. Hussain, Hamid Arian Zad, H. Kuniyil, M. T. Rahim, Saif Al-Kuwari, Saeed Haddadi
https://arxiv.org/abs/2509.06937

Quantum Mpemba effect in a four-site Bose-Hubbard model
We investigated the quantum Mpemba effect (QME) in a one-dimensional Bose-Hubbard model across clean and disordered regimes using exact numerical technique of a four-site lattice under Lindblad dynamics with local dephasing noise. By systematically varying hopping strength, onsite interactions, Stark potentials, and random disorder, we probe relaxation dynamics toward a common steady state using trace distance, relative entropy, entanglement asymmetry, and $\ell_1$-norm of coherence metrics. Ou…

Relative algebroids and symmetries of Pfaffian fibrations
Wilmer Smilde
https://arxiv.org/abs/2510.01517 https://arxiv.org/pdf/2510.01517

Relative algebroids and symmetries of Pfaffian fibrations
Relative algebroids and Pfaffian fibrations are two frameworks recently developed to study geometric structures and PDEs with symmetries, but have structurally different foundations. In this article, we clarify the relation between the two. We show that every Pfaffian fibration canonically induces a relative algebroid, and that their prolongations and local solutions coincide. Moreover, we introduce two notions of symmetries of Pfaffian fibrations, namely internal symmetries and Pfaffian symmet…

Matrix $A_p$-weights relative to a pseudo-metric
Morten Nielsen
https://arxiv.org/abs/2510.02849 https://arxiv.org/pdf/2510.02849

Matrix $A_p$-weights relative to a pseudo-metric
Matrix weights satisfying a Muckenhoupt $A_p$-condition relative to a family of anisotropic balls in $\mathbb{R}^d$ defined by a pseudo-metric are studied. It is shown that such matrix weights satisfy a doubling condition and a reverse Hölder inequality. In the special case, where the pseudo-metric is homogeneous with respect to a one-parameter dilation group, the corresponding Muckenhoupt class is shows to satisfy an invariance property under composition with affine transformations generated …

$\alpha$-leakage Interpretation of R\'{e}nyi Capacity
Ni Ding, Farhad Farokhi, Tao Guo, Yinfei Xu, Xiang Zhang
https://arxiv.org/abs/2510.06622 https://

$α$-leakage Interpretation of Rényi Capacity
For $\tilde{f}(t) = \exp(\frac{α-1}αt)$, this paper shows that the Sibson mutual information is an $α$-leakage averaged over the adversary's $\tilde{f}$-mean relative information gain (on the secret) at elementary event of channel output $Y$ as well as the joint occurrence of elementary channel input $X$ and output $Y$. This interpretation is used to derive a sufficient condition that achieves a $δ$-approximation of $ε$-upper bounded $α$-leakage. A $Y$-elementary $α$-leakage is proposed,…

Evolutionary Profiles for Protein Fitness Prediction
Jigang Fan, Xiaoran Jiao, Shengdong Lin, Zhanming Liang, Weian Mao, Chenchen Jing, Hao Chen, Chunhua Shen
https://arxiv.org/abs/2510.07286

Evolutionary Profiles for Protein Fitness Prediction
Predicting the fitness impact of mutations is central to protein engineering but constrained by limited assays relative to the size of sequence space. Protein language models (pLMs) trained with masked language modeling (MLM) exhibit strong zero-shot fitness prediction; we provide a unifying view by interpreting natural evolution as implicit reward maximization and MLM as inverse reinforcement learning (IRL), in which extant sequences act as expert demonstrations and pLM log-odds serve as fitne…

On absolutely exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
https://arxiv.org/abs/2510.05505 https://arxiv.org/pdf…

On absolutely exotic diffeomorphisms of 4-manifolds
We prove that there exist infinitely many contractible compact smooth $4$-manifolds $C$ that admit absolutely exotic diffeomorphisms of infinite order in $π_0(\mathrm{Diff}(C))$. By ``absolutely", we mean that isotopies are not required to be relative to the boundary. This follows from a theorem that produces absolutely exotic diffeomorphisms from relatively exotic diffeomorphisms, analogous to a theorem of Akbulut and Ruberman that produces absolutely exotic 4-manifolds from relatively exotic…

Modeling the Doppler Shift in Cislunar Environment with Gaussian Mixture Models
Baris Donmez, Sebastien Loranger, Gunes Karabulut Kurt
https://arxiv.org/abs/2509.07134 https://

Modeling the Doppler Shift in Cislunar Environment with Gaussian Mixture Models
This study investigates the RF-based Doppler shift distribution characterization of the Lunar South Pole (LSP) based inter-satellite link (ISL) in varying inclination. Doppler shift in parts per million (ppm) is determined and analyzed, as it provides an independence from the carrier frequency. Due to unknown relative velocity states duration, the Gaussian Mixture Model (GMM) is found to be the best fitting distribution for ISLs with $1^\circ$ inclination interval Doppler shift with respect to …

Pretorsion theories in prenormal categories
Sandra Mantovani, Mariano Messora
https://arxiv.org/abs/2510.07040 https://arxiv.org/pdf/2510.07040

Pretorsion theories in prenormal categories
In this paper we extend several classical results on pointed torsion theories -- also known as torsion pairs -- to the setting of non-pointed torsion theories defined via kernels and cokernels relative to a fixed class of trivial objects (often referred to as pretorsion theories). Our results are developed in the recently introduced framework of (non-pointed) prenormal categories and other related contexts. Within these settings, we recover some characterisations of torsion and torsion-free sub…

All-order perfect spin hydrodynamics
Zbigniew Drogosz
https://arxiv.org/abs/2509.06014 https://arxiv.org/pdf/2509.06014

All-order perfect spin hydrodynamics
We compare two recently developed frameworks of perfect spin hydrodynamics for spin-$1/2$ particles, based respectively on classical kinetic theory and the Wigner function. We show that the conserved currents in both approaches have the same form at each order of the expansion in the components of the spin polarization tensor $ω$. The only difference is a relative multiplicative factor, which is equal to 1 at the lowest nontrivial order and increases monotonically with the expansion order.

Decentralized CBF-based Safety Filters for Collision Avoidance of Cooperative Missile Systems with Input Constraints
Johannes Autenrieb, Mark Spiller
https://arxiv.org/abs/2510.06846

Decentralized CBF-based Safety Filters for Collision Avoidance of Cooperative Missile Systems with Input Constraints
This paper presents a decentralized safety filter for collision avoidance in multi-agent aerospace interception scenarios. The approach leverages robust control barrier functions (RCBFs) to guarantee forward invariance of safety sets under bounded inputs and high-relative-degree dynamics. Each effector executes its nominal cooperative guidance command, while a local quadratic program (QP) modifies the input only when necessary. Event-triggered activation based on range and zero-effort miss (ZEM…

Cluster theory of topological Fukaya categories. Part II: Higher Teichm\"uller theory
Merlin Christ
https://arxiv.org/abs/2510.05925 https://arxiv.org…

Cluster theory of topological Fukaya categories. Part II: Higher Teichmüller theory
We construct relative $3$-Calabi--Yau categories related with higher Teichmüller theory. We further study their corresponding cosingularity categories and the additive categorification of the corresponding cluster algebras. The input for our constructions is a marked surface with boundary and a Dynkin quiver $I$. In the case of the triangle, these categories have been described in recent work of Keller--Liu. For general surfaces, the categories are constructed via gluing along a perverse sch…

On approximating the $f$-divergence between two Ising models
Weiming Feng, Yucheng Fu
https://arxiv.org/abs/2509.05016 https://arxiv.org/pdf/2509.05016

On approximating the $f$-divergence between two Ising models
The $f$-divergence is a fundamental notion that measures the difference between two distributions. In this paper, we study the problem of approximating the $f$-divergence between two Ising models, which is a generalization of recent work on approximating the TV-distance. Given two Ising models $ν$ and $μ$, which are specified by their interaction matrices and external fields, the problem is to approximate the $f$-divergence $D_f(ν\,\|\,μ)$ within an arbitrary relative error $\mathrm{e}…

Causal Attention with Lookahead Keys
Zhuoqing Song, Peng Sun, Huizhuo Yuan, Quanquan Gu
https://arxiv.org/abs/2509.07301 https://arxiv.org/pdf/2509.07301…

Causal Attention with Lookahead Keys
In standard causal attention, each token's query, key, and value (QKV) are static and encode only preceding context. We introduce CAuSal aTtention with Lookahead kEys (CASTLE), an attention mechanism that continually updates each token's keys as the context unfolds. We term these updated keys lookahead keys because they belong to earlier positions yet integrate information from tokens that appear later relative to those positions, while strictly preserving the autoregressive property. Although …

Comprehensive Analyses of the Strongly Carbon-chain Depleted Comets in Lowell Observatory's Narrowband Photometry Database
Allison N. Bair, David G. Schleicher
https://arxiv.org/abs/2509.05499

Comprehensive Analyses of the Strongly Carbon-chain Depleted Comets in Lowell Observatory's Narrowband Photometry Database
We present measurements, analyses and results for the seventeen strongly carbon-chain depleted comets in Lowell Observatory's narrowband photometry database. The majority of comets exhibit a very similar, i.e. typical, composition in optical wavelengths, though the existence of anomalous comets with lower abundances of carbon-chain molecules relative to CN has long been known. M. F. A'Hearn et al. (1995) identified an entire class of these carbon-chain depleted comets, and the most recent full …

Ergodicity and error estimate of laws for a random splitting Langevin Monte Carlo
Lei Li, Chen Wang, Mengchao Wang
https://arxiv.org/abs/2510.07676 https://

Ergodicity and error estimate of laws for a random splitting Langevin Monte Carlo
The random splitting Langevin Monte Carlo could mitigate the first order bias in Langevin Monte Carlo with little extra work compared other high order schemes. We develop in this work an analysis framework for the sampling error under Wasserstein distance regarding the random splitting Langevin Monte Carlo. First, the sharp local truncation error is obtained by the relative entropy approach together with the explicit formulas for the commutator of related semi-groups. The necessary pointwise es…

Analysis of the transmission eigenvalue problem for biharmonic scattering considering penetrable scatterers
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
https://arxiv.org/abs/2510.08444

Analysis of the transmission eigenvalue problem for biharmonic scattering considering penetrable scatterers
In this paper, we provide an analytical study of the transmission eigenvalue problem in the context of biharmonic scattering with a penetrable obstacle. We will assume that the underlying physical model is given by an infinite elastic two--dimensional Kirchhoff--Love plate in $\mathbb{R}^2$, where the plate's thickness is small relative to the wavelength of the incident wave. In previous studies, transmission eigenvalues have been studied for acoustic scattering, whereas in this case, we consid…

The $p$-adic El Zein-Steenbrink-Zucker bifiltered complex of a projective SNCL scheme with an SNCD
Yukiyoshi Nakkajima
https://arxiv.org/abs/2509.05603 https://

The $p$-adic El Zein-Steenbrink-Zucker bifiltered complex of a projective SNCL scheme with an SNCD
We give the log $p$-adic relative monodromy-weight conjecture.

Scaling Relations of the Dusty Torus with Luminosity and the Broad-Line Region
Ashraf Ayubinia, Jong-Hak Woo, Shu Wang, Amit Kumar Mandal, Donghoon Son
https://arxiv.org/abs/2509.07878

Scaling Relations of the Dusty Torus with Luminosity and the Broad-Line Region
We measure and compare the size of the dusty torus with active galactic nucleus (AGN) luminosity and the size of the broad-line region (BLR), using a sample of 182 AGNs with the best H$β$ lag measurements. After correcting for accretion-disk contamination, torus sizes are determined from the time lags of the WISE W1 and W2 band light curves relative to the optical band variability based on the interpolated cross-correlation function (ICCF) analysis and the Multiple and Inhomogeneous Component …

Efficient Input-Constrained Impulsive Optimal Control of Linear Systems with Application to Spacecraft Relative Motion
Ethan Foss, Simone D'Amico
https://arxiv.org/abs/2510.03423

Efficient Input-Constrained Impulsive Optimal Control of Linear Systems with Application to Spacecraft Relative Motion
This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta functions, are typically formulated as an optimization over a normed function space subject to integral equality constraints and can be efficiently solved for linear time-varying systems in their dual formulation. In this dual setting, the problem takes the form …

On Estimating the Quantum Tsallis Relative Entropy
Jinge Bao, Minbo Gao, Qisheng Wang
https://arxiv.org/abs/2510.00752 https://arxiv.org/pdf/2510.00752

On Estimating the Quantum Tsallis Relative Entropy
The relative entropy between quantum states quantifies their distinguishability. The estimation of certain relative entropies has been investigated in the literature, e.g., the von Neumann relative entropy and sandwiched Rényi relative entropy. In this paper, we present a comprehensive study of the estimation of the quantum Tsallis relative entropy. We show that for any constant $α\in (0, 1)$, the $α$-Tsallis relative entropy between two quantum states of rank $r$ can be estimated with sampl…

Contrastive Decoding for Synthetic Data Generation in Low-Resource Language Modeling
Jannek Ulm, Kevin Du, V\'esteinn Sn{\ae}bjarnarson
https://arxiv.org/abs/2510.08245 http…

Contrastive Decoding for Synthetic Data Generation in Low-Resource Language Modeling
Large language models (LLMs) are trained on huge amounts of textual data, and concerns have been raised that the limits of such data may soon be reached. A potential solution is to train on synthetic data sampled from LLMs. In this work, we build on this idea and investigate the benefits of contrastive decoding for generating synthetic corpora. In a controlled setting, we experiment with sampling corpora using the relative difference between a good and bad model trained on the same original cor…

A doubly composite Chernoff-Stein lemma and its applications
Ludovico Lami
https://arxiv.org/abs/2510.06342 https://arxiv.org/pdf/2510.06342

A doubly composite Chernoff-Stein lemma and its applications
Given a sequence of random variables $X^n=X_1,\ldots, X_n$, discriminating between two hypotheses on the underlying probability distribution is a key task in statistics and information theory. Of interest here is the Stein exponent, i.e. the largest rate of decay (in $n$) of the type II error probability for a vanishingly small type I error probability. When the hypotheses are simple and i.i.d., the Chernoff-Stein lemma states that this is given by the relative entropy between the single-copy p…

Crosslisted article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[1/1]:
- The best approximation pair problem relative to two subsets in a normed space
Daniel Reem, Yair Censor

Three-dimensional Integrated Guidance and Control for Leader-Follower Flexible Formation of Fixed Wing UAVs
Praveen Kumar Ranjan, Abhinav Sinha, Yongcan Cao
https://arxiv.org/abs/2510.06394

Three-dimensional Integrated Guidance and Control for Leader-Follower Flexible Formation of Fixed Wing UAVs
This paper presents a nonlinear integrated guidance and control (IGC) approach for flexible leader-follower formation flight of fixed-wing unmanned aerial vehicles (UAVs) while accounting for high-fidelity aerodynamics and thrust dynamics. Unlike conventional leader-follower schemes that fix the follower's position relative to the leader, the follower is steered to maintain range and bearing angles (which is the angle between its velocity vector and its line-of-sight (LOS) with respect to the l…

Direct Detection of Known Exoplanets in Reflected Light: Predicting Sky Position with Literature Orbit Solutions
Logan A. Pearce, Jared R. Males, Mary Anne Limbach
https://arxiv.org/abs/2509.06747

Direct Detection of Known Exoplanets in Reflected Light: Predicting Sky Position with Literature Orbit Solutions
The next generation of ground- and space-based observatories will enable direct imaging and characterization of cold, mature planets through thermal emission and, for the first time, reflected light detection. Known RV and astrometrically detected planets provide a known population for detection and characterization observations. However, many of the most promising targets lack orbital parameters of sufficient precision to confidently predict their location on relative to the star for a direct …

Average relative entropy of random states
Lu Wei
https://arxiv.org/abs/2509.21846 https://arxiv.org/pdf/2509.21846

Average relative entropy of random states
Relative entropy serves as a cornerstone concept in quantum information theory. In this work, we study relative entropy of random states from major generic state models of Hilbert-Schmidt and Bures-Hall ensembles. In particular, we derive exact yet explicit formulas of average relative entropy of two independent states of arbitrary dimensions from the same ensemble as well as from two different ensembles. One ingredient in obtaining the results is the observed factorization of ensemble averages…

The Compressed Oracle is a Worthy (Multiplicative) Adversary
Stacey Jeffery, Sebastian Zur
https://arxiv.org/abs/2509.07876 https://arxiv.org/pdf/2509.0787…

The Compressed Oracle is a Worthy (Multiplicative) Adversary
The compressed oracle technique, introduced in the context of quantum cryptanalysis, is the latest method for proving quantum query lower bounds, and has had an impressive number of applications since its introduction, due in part to the ease of importing classical lower bound intuition into the quantum setting via this method. Previously, the main quantum query lower bound methods were the polynomial method, the adversary method, and the multiplicative adversary method, and their relative powe…

TREBL -- A Relative Complete Temporal Event-B Logic. Part I: Theory
Klaus-Dieter Schewe, Flavio Ferrarotti, Peter Rivi\`ere, Neeraj Kumar Singh, Guillaume Dupont, Yamine A\"it Ameur
https://arxiv.org/abs/2509.01462

TREBL -- A Relative Complete Temporal Event-B Logic. Part I: Theory
The verification of liveness conditions is an important aspect of state-based rigorous methods. This article addresses the extension of the logic of Event-B to a powerful logic, in which properties of traces of an Event-B machine can be expressed. However, all formulae of this logic are still interpreted over states of an Event-B machine rather than traces. The logic exploits that for an Event-B machine $M$ a state $S$ determines all traces of $M$ starting in $S$. We identify a fragment called …

General base change for relative Du Bois complexes
Caleb Ji, S\'andor Kov\'acs
https://arxiv.org/abs/2508.02848 https://arxiv.org/pdf/2508.02848

General base change for relative Du Bois complexes
A partial answer is given to a question raised by Kovács and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve commutes with base change to a general point on the base. It is also shown that this property usually fails for special points.

Khovanov skein lasagna modules with $1$-dimensional inputs
Qiuyu Ren, Ian Sullivan, Paul Wedrich, Michael Willis, Melissa Zhang
https://arxiv.org/abs/2510.05273 https://

Khovanov skein lasagna modules with $1$-dimensional inputs
We construct a variant of Khovanov skein lasagna modules, which takes the Khovanov homology in connected sums of $S^1\times S^2$ defined by Rozansky and Willis as the input link homology. To carry out the construction, we prove functoriality of Rozansky-Willis's homology for cobordisms in a class of $4$-manifolds that we call $4$-dimensional relative $1$-handlebody complements, by using, as a bypass, an isomorphism proved by Sullivan--Zhang relating the Rozansky-Willis homology and the classica…

Resolution-Corrected White Dwarf Gravitational Redshifts Validate SDSS-V Wavelength Calibration and Enable Accurate Mass-Radius Tests
Stefan M. Arseneau, J. J. Hermes, Nadia L. Zakamska, Kareem El-Badry, Nicole R. Crumpler, Vedant Chandra, Gautham Adamane Pallathadka, Carles Badenes, Boris T. Gaensicke, Nicola Gentile Fusillo
https://arxiv…

Resolution-Corrected White Dwarf Gravitational Redshifts Validate SDSS-V Wavelength Calibration and Enable Accurate Mass-Radius Tests
Leveraging the large sample size of low-resolution spectroscopic surveys to constrain white dwarf stellar structure requires an accurate understanding of the shapes of hydrogen absorption lines, which are pressure broadened by the Stark effect. Using data from both the Sloan Digital Sky Survey and the Type Ia Supernova Progenitor Survey, we show that substantial biases (5-15 km/s) exist in radial velocity measurements made from observations at low spectral resolution relative to similar measure…

Relative Localization of UAV Swarms in GNSS-Denied Conditions
Guangyu Lei, Yuqi Ping, Tianhao Liang, Huahao Ding, Tingting Zhang
https://arxiv.org/abs/2509.04412 https://…

Relative Localization of UAV Swarms in GNSS-Denied Conditions
Relative localization of unmanned aerial vehicle (UAV) swarms in global navigation satellite system (GNSS) denied environments is essential for emergency rescue and battlefield reconnaissance. Existing methods suffer from significant localization errors among UAVs due to packet loss and high computational complexity in large swarms. This paper proposes a clustering-based framework where the UAVs simultaneously use communication signals for channel estimation and ranging. Firstly, the spectral c…

Linesearch-free adaptive Bregman proximal gradient for convex minimization without relative smoothness
Hongjia Ou, Puya Latafat, Andreas Themelis
https://arxiv.org/abs/2508.01353

Linesearch-free adaptive Bregman proximal gradient for convex minimization without relative smoothness
This paper introduces adaptive Bregman proximal gradient algorithms for solving convex composite minimization problems without relying on global relative smoothness or strong convexity assumptions. Building upon recent advances in adaptive stepsize selections, the proposed methods generate stepsizes based on local curvature estimates, entirely eliminating the need for backtracking linesearch. A key innovation is a Bregman generalization of Young's inequality, which allows controlling a critical…

Satellite Navigation and Control using Physics-Informed Artificial Potential Field and Sliding Mode Controller
Rakesh Kumar Sahoo, Paridhi Choudhary, Manoranjan Sinha
https://arxiv.org/abs/2510.08184

Satellite Navigation and Control using Physics-Informed Artificial Potential Field and Sliding Mode Controller
Increase in the number of space exploration missions has led to the accumulation of space debris, posing risk of collision with the operational satellites. Addressing this challenge is crucial for the sustainability of space operations. To plan a safe trajectory in the presence of moving space debris, an integrated approach of artificial potential field and sliding mode controller is proposed and implemented in this paper. The relative 6-DOF kinematics and dynamics of the spacecraft is modelled…

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[1/2]:
- Di-NeRF: Distributed NeRF for Collaborative Learning with Relative Pose Refinement
Mahboubeh Asadi, Kourosh Zareinia, Sajad Saeedi

Parallel Alignments between Magnetic Fields and Dense Structures in the Central Molecular Zone
Xing Pan, Qizhou Zhang, Keping Qiu, Dylan Pare, David Chuss, Natalie Butterfield, Robin Tress, Mattia Sormani, Yuping Tang, Steven Longmore, Thushara Pillai
https://arxiv.org/abs/2508.04599

Parallel Alignments between Magnetic Fields and Dense Structures in the Central Molecular Zone
The recent Far-Infrared Polarimetric Large-Area Central Molecular Zone Exploration (FIREPLACE) survey with SOFIA has mapped plane-of-the-sky magnetic field orientations within the Central Molecular Zone (CMZ) of the Milky Way. Applying the Histogram of Relative Orientation (HRO) analysis to the FIREPLACE data, we find that the relative orientation between magnetic fields and column density structures is random in low-density regions (2x10^22

Neighborhood-Adaptive Generalized Linear Graph Embedding with Latent Pattern Mining
S. Peng, L. Hu, W. Zhang, B. Jie, Y. Luo
https://arxiv.org/abs/2510.05719 https://

Neighborhood-Adaptive Generalized Linear Graph Embedding with Latent Pattern Mining
Graph embedding has been widely applied in areas such as network analysis, social network mining, recommendation systems, and bioinformatics. However, current graph construction methods often require the prior definition of neighborhood size, limiting the effective revelation of potential structural correlations in the data. Additionally, graph embedding methods using linear projection heavily rely on a singular pattern mining approach, resulting in relative weaknesses in adapting to different …

An analysis of nuclear parton distribution function based on Kullback-Leibler divergence
Shu-Man Hu, Ao-Sheng Xiong, Ji Xu, Fu-Sheng Yu, Ji-Xin Yu
https://arxiv.org/abs/2508.05171

An analysis of nuclear parton distribution function based on Kullback-Leibler divergence
In this work, we present an attempt to quantify the difference between nuclear parton distribution functions (nPDFs) in different nuclei and parton distribution functions (PDFs) in free nucleons using the Kullback-Leibler (KL) divergence, a measure widely employed in quantum information theory. By introducing certain constraints and the ``minimum relative entropy'' hypothesis, we can determine the shape of the structure function in the intermediate-$x$ region, which is intimately connected with…

Adaptive Navigation Strategy for Low-Thrust Proximity Operations in Circular Relative Orbit
Dario Ruggiero, Mauro Mancini, Elisa Capello
https://arxiv.org/abs/2509.02204 https:/…

Adaptive Navigation Strategy for Low-Thrust Proximity Operations in Circular Relative Orbit
This paper presents an adaptive observer-based navigation strategy for spacecraft in Circular Relative Orbit (CRO) scenarios, addressing challenges in proximity operations like formation flight and uncooperative target inspection. The proposed method adjusts observer gains based on the estimated state to achieve fast convergence and low noise sensitivity in state estimation. A Lyapunov-based analysis ensures stability and accuracy, while simulations using vision-based sensor data validate the a…

Searching for a physical description relative to a quantum system
Henrique A. R. Knopki, Renato M. Angelo
https://arxiv.org/abs/2509.04186 https://arxiv.or…

Searching for a physical description relative to a quantum system
Physics is a model of nature able to both describe and predict the results of measurements made with respect to reference systems. These reference systems, in turn, are themselves physical and thus subject to the laws of physics. The situation is no different when the model in use is quantum mechanics: states and observables are relative entities, and reference frames are not exempt from exhibiting quantum behavior. In recent years, the scientific community has shown renewed interest in quantum…

HoPE: Hyperbolic Rotary Positional Encoding for Stable Long-Range Dependency Modeling in Large Language Models
Chang Dai, Hongyu Shan, Mingyang Song, Di Liang
https://arxiv.org/abs/2509.05218

HoPE: Hyperbolic Rotary Positional Encoding for Stable Long-Range Dependency Modeling in Large Language Models
Positional encoding mechanisms enable Transformers to model sequential structure and long-range dependencies in text. While absolute positional encodings struggle with extrapolation to longer sequences due to fixed positional representations, and relative approaches like Alibi exhibit performance degradation on extremely long contexts, the widely-used Rotary Positional Encoding (RoPE) introduces oscillatory attention patterns that hinder stable long-distance dependency modelling. We address the…

$\mathbb{F}_{2}\mathbb{F}_{4}$-Additive Complementary Dual Codes
S. Ouagagui, N. Benbelkacem, A. Batoul, T. Abualrub
https://arxiv.org/abs/2508.05317 https://

$\mathbb{F}_{2}\mathbb{F}_{4}$-Additive Complementary Dual Codes
In this paper, we investigate the structure and properties of additive complementary dual (ACD) codes over the mixed alphabet $\mathbb{F}_2\mathbb{F}_4$ relative to a certain inner product defined over $\mathbb{F}_2\mathbb{F}_4$. We establish sufficient conditions under which such codes are additive complementary dual (ACD) codes. We also show that ACD codes over $\mathbb{F}_{2}\mathbb{F}_{4}$ can be applied to construct binary linear complementary dual codes as their images under the linear ma…

Idempotence for relative monads
Nathanael Arkor, Andrew Slattery
https://arxiv.org/abs/2508.17794 https://arxiv.org/pdf/2508.17794

Idempotence for relative monads
We study the concept of idempotence for relative monads, which exhibits several subtleties not present for non-relative monads. In particular, there is a bifurcation of notions of idempotence in the relative setting, which are indistinguishable for idempotent monads. As a special case, we obtain several characterisations of idempotence for monads in extension form.

Rediscovering the Standard Model with AI
Aya Abdelhaq, Pellegrino Piantadosi, Fernando Quevedo
https://arxiv.org/abs/2508.04923 https://arxiv.org/pdf/2508.…

Rediscovering the Standard Model with AI
We investigate whether artificial intelligence can autonomously recover known structures of the Standard Model of particle physics using only experimental data and without theoretical inputs. By applying unsupervised machine learning techniques -- including data dimensionality reduction and clustering algorithms -- to intrinsic particle properties and decay modes, we uncover key organizational features of particle physics, such as the relative strength of different interactions and the differen…

BEDTime: A Unified Benchmark for Automatically Describing Time Series
Medhasweta Sen, Zachary Gottesman, Jiaxing Qiu, C. Bayan Bruss, Nam Nguyen, Tom Hartvigsen
https://arxiv.org/abs/2509.05215

BEDTime: A Unified Benchmark for Automatically Describing Time Series
Many recent studies have proposed general-purpose foundation models designed for a variety of time series analysis tasks. While several established datasets already exist for evaluating these models, previous works frequently introduce their models in conjunction with new datasets, limiting opportunities for direct, independent comparisons and obscuring insights into the relative strengths of different methods. Additionally, prior evaluations often cover numerous tasks simultaneously, assessing…

Internal languages of locally cartesian closed $(\infty,1)$-categories
El Mehdi Cherradi
https://arxiv.org/abs/2509.03371 https://arxiv.org/pdf/2509.03371

Internal languages of locally cartesian closed $(\infty,1)$-categories
We establish a DK-equivalence between the relative category of $π$-tribes and the relative category of locally cartesian closed quasicategories. From this follows one of the internal languages conjecture: Martin-Löf type theory with dependent sums, intensional identity types, and dependent products satisfying functional extensionality is the internal language of locally cartesian closed $(\infty,1)$-categories.

Theoretical Analysis of Relative Errors in Gradient Computations for Adversarial Attacks with CE Loss
Yunrui Yu, Hang Su, Cheng-zhong Xu, Zhizhong Su, Jun Zhu
https://arxiv.org/abs/2507.22428

Theoretical Analysis of Relative Errors in Gradient Computations for Adversarial Attacks with CE Loss
Gradient-based adversarial attacks using the Cross-Entropy (CE) loss often suffer from overestimation due to relative errors in gradient computation induced by floating-point arithmetic. This paper provides a rigorous theoretical analysis of these errors, conducting the first comprehensive study of floating-point computation errors in gradient-based attacks across four distinct scenarios: (i) unsuccessful untargeted attacks, (ii) successful untargeted attacks, (iii) unsuccessful targeted attack…

Multi-module GRPO: Composing Policy Gradients and Prompt Optimization for Language Model Programs
Noah Ziems, Dilara Soylu, Lakshya A Agrawal, Isaac Miller, Liheng Lai, Chen Qian, Kaiqiang Song, Meng Jiang, Dan Klein, Matei Zaharia, Karel D'Oosterlinck, Christopher Potts, Omar Khattab
https://arxiv.org/abs/2508.04660

Multi-module GRPO: Composing Policy Gradients and Prompt Optimization for Language Model Programs
Group Relative Policy Optimization (GRPO) has proven to be an effective tool for post-training language models (LMs). However, AI systems are increasingly expressed as modular programs that mix together multiple LM calls with distinct prompt templates and other tools, and it is not clear how best to leverage GRPO to improve these systems. We begin to address this challenge by defining mmGRPO, a simple multi-module generalization of GRPO that groups LM calls by module across rollouts and handles…

Improving Aviation Safety Analysis: Automated HFACS Classification Using Reinforcement Learning with Group Relative Policy Optimization
Arash Ahmadi, Sarah Sharif, Yaser Banad
https://arxiv.org/abs/2508.21201

Improving Aviation Safety Analysis: Automated HFACS Classification Using Reinforcement Learning with Group Relative Policy Optimization
Analyzing the human factors behind aviation accidents is crucial for preventing future incidents, yet traditional methods using the Human Factors Analysis and Classification System (HFACS) are limited by scalability and consistency. To address this, we introduce an automated HFACS classification framework for aviation safety analysis that utilizes Reinforcement Learning with Group Relative Policy Optimization (GRPO) to fine-tune a Llama-3.1 8B language model. Our approach incorporates a multi-c…