Tootfinder

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD
Long Chen, Cong Zhao
https://arxiv.org/abs/2509.10786 https://

Leading-renormalon-free Trace-anomaly-subtracted $σ$-mass for Heavy Quarks up to Five Loops in QCD
We demonstrate that the leading IR-renormalon divergence in the perturbative pole mass of a massive quark resides entirely in the contribution from the trace anomaly of the energy-momentum tensor in QCD. Consequently, the recently proposed trace-anomaly-subtracted $σ$-mass definition for heavy quarks is not only scheme- and scale-invariant, but also free from the leading IR-renormalon ambiguity. We further derive a formula connecting this $σ$-mass to the perturbative pole mass, solely in term…

Murmurations using Petersson trace formula
Chan Ieong Kuan, Didier Lesesvre
https://arxiv.org/abs/2507.11418 https://arxiv.org/pdf/25…

Murmurations using Petersson trace formula
We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in particular improve the range of visibility of murmurations compared to previous results. This is the first approach to the murmuration phenomenon using a relative trace formula, showing its robustness.

Optimal trace norms for Helmholtz problems
Benedikt Gr\"a{\ss}le
https://arxiv.org/abs/2506.11944 https://arxiv.org/pdf/2506.119…

Optimal trace norms for Helmholtz problems
The natural $H^1(Ω)$ energy norm for Helmholtz problems is weighted with the wavenumber modulus $σ$ and induces natural weighted norms on the trace spaces $H^{\pm1/2}(Γ)$ by minimial extension to $Ω\subset\mathbb R^n$. This paper presents a rigorous analysis for these trace norms with an explicit characterisation by weighted Sobolev-Slobodeckij norms and scaling estimates, highlighting their dependence on the geometry of the extension set $Ω\subset\mathbb R^n$ and the weight $σ$. The anal…

Do Code Semantics Help? A Comprehensive Study on Execution Trace-Based Information for Code Large Language Models
Jian Wang, Xiaofei Xie, Qiang Hu, Shangqing Liu, Yi Li
https://arxiv.org/abs/2509.11686

Do Code Semantics Help? A Comprehensive Study on Execution Trace-Based Information for Code Large Language Models
Code Large Language Models (Code LLMs) have opened a new era in programming with their impressive capabilities. However, recent research has revealed critical limitations in their ability to reason about runtime behavior and understand the actual functionality of programs, which poses significant challenges for their post-training and practical deployment. Specifically, Code LLMs encounter two principal issues: (1) a lack of proficiency in reasoning about program execution behavior, as they str…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Extremal curves in single-trace $T\bar{T}$-holography
Soumangsu Chakraborty, Madhur Mehta, Gela Patashuri
https://arxiv.org/abs/2508.09990 https://arxiv.or…

Extremal curves in single-trace $T\bar{T}$-holography
In this paper, we continue the study of single-trace $T\bar{T}$-holography where the boundary field theory can be realized as a CFT$_2$ deformed by a single-trace irrelevant operator of dimension $(2,2)$ and dual spacetime geometry is $AdS_3$ smoothly glued to flat spacetime with a linear dilaton near the boundary. In this non-AdS holographic framework, we propose that the length of real extremal curves connecting the two boundaries of an eternal black hole at fixed boundary time captures the t…

Nash equilibria in semidefinite games and Lemke-Howson paths
Constantin Ickstadt, Thorsten Theobald, Elias Tsigaridas, Antonios Varvitsiotis
https://arxiv.org/abs/2506.11940

Nash equilibria in semidefinite games and Lemke-Howson paths
We consider an algorithmic framework for two-player non-zero-sum semidefinite games, where each player's strategy is a positive semidefinite matrix with trace one. We formulate the computation of Nash equilibria in such games as semidefinite complementarity problems and develop symbolic-numeric techniques to trace generalized Lemke-Howson paths. These paths generalize the piecewise affine-linear trajectories of the classical Lemke-Howson algorithm for bimatrix games, replacing them with nonline…

Using orthogonal projectors in multigrid multilevel Monte Carlo for trace estimation in lattice QCD
Andreas Frommer, Jose Jimenez-Merchan, Francesco Knechtli, Tomasz Korzec, Gustavo Ramirez-Hidalgo
https://arxiv.org/abs/2509.11424

Using orthogonal projectors in multigrid multilevel Monte Carlo for trace estimation in lattice QCD
We introduce a multigrid multilevel Monte Carlo method for stochastic trace estimation in lattice QCD based on orthogonal projections. This formulation extends the previously proposed oblique decomposition and it is assessed on three representative problems: the connected pseudoscalar correlator, the trace of the full Dirac operator's inverse $\mathrm{tr}(D^{-1})$, and disconnected fermion loops. For the connected correlator, variance reductions grow systematically with the time separation and …

Efficient computation of average subsystem Bures distance in transverse field Ising chain
Zhouhao Guo, M. A. Rajabpour, Jiaju Zhang
https://arxiv.org/abs/2508.09417 https://

Efficient computation of average subsystem Bures distance in transverse field Ising chain
The average subsystem trace distance has been proposed as an indicator of quantum many-body chaos and integrability. In integrable systems, evaluating the trace distance faces two challenges: the computational cost for large systems and ambiguities in defining and ordering eigenstates. In this paper, we calculate the average subsystem Bures distance in the spin-1/2 transverse-field Ising chain. We develop an efficient algorithm to evaluate the Bures distance between two Gaussian states, which a…

"When we trace any royal line back to its progenitor... that first king always turns out to be a swaggering thug, a bully whom no one in their right mind would follow. Resigning oneself to life under such a person’s authority would be bad enough, but hereditary #monarchy makes things infinitely worse: the generation that crowns him also sacrifices their descendants to his, trading away the f…

Inventing the American Revolution: On Thomas Paine’s Guide to Fighting Dictatorship
Back in 2018, two years into the first Trump presidency, when the ground was shifting beneath our feet in ways that, today, might barely register on our wearied internal seismographs, political ana…

Yet Another Mirage of Breaking MIRAGE: Debunking Occupancy-based Side-Channel Attacks on Fully Associative Randomized Caches
Chris Cao, Gururaj Saileshwar
https://arxiv.org/abs/2508.10431

Yet Another Mirage of Breaking MIRAGE: Debunking Occupancy-based Side-Channel Attacks on Fully Associative Randomized Caches
Recent work presented at USENIX Security 2025 claims that occupancy-based attacks can recover AES keys from the MIRAGE randomized cache. In this paper, we examine these claims and find that they arise from fundamental modeling flaws. Most critically, the authors' simulation of MIRAGE uses a constant seed to initialize the random number generator used for global evictions in MIRAGE, causing every AES encryption they trace to evict the same deterministic sequence of cache lines. This artificially…

Crisis Messaging Journeys: Epistemic Struggles over CDC Guidance During COVID-19
Tawfiq Ammari
https://arxiv.org/abs/2509.10906 https://arxiv.org/pdf/2509.…

Crisis Messaging Journeys: Epistemic Struggles over CDC Guidance During COVID-19
This study investigates how the U.S. Centers for Disease Control and Prevention (CDC) communicated COVID-19 guidance on Twitter and how publics responded over two years of the pandemic. Drawing on 275,124 tweets mentioning or addressing @CDCgov, I combine BERTopic modeling, sentiment analysis (VADER), credibility checks (Iffy Index), change point detection (PELT), and survival analysis to trace three phases of discourse: (1) early hoax claims and testing debates, (2) lockdown and mask controver…

Central-star extinctions towards planetary nebulae
Alexander Csukai, Albert A. Zijlstra, Iain McDonald, Orsola De Marco
https://arxiv.org/abs/2509.10621 https://

Central-star extinctions towards planetary nebulae
Planetary nebulae trace the hottest and most luminous phase of evolution of solar-type stars. We use these hot, bright stars to investigate extinctions towards a complete sample of 262 confirmed PNe with large angular diameters, which have the most reliable photometry and hottest central stars. For 162 of these PNe, we identify central stars, produce spectral energy distributions from survey data using PySSED, then fit reddened model spectra to the observed photometry to obtain extinctions accu…

DiffPR: Diffusion-Based Phase Reconstruction via Frequency-Decoupled Learning
Yi Zhang
https://arxiv.org/abs/2506.11183 https://arxiv…

DiffPR: Diffusion-Based Phase Reconstruction via Frequency-Decoupled Learning
Oversmoothing remains a persistent problem when applying deep learning to off-axis quantitative phase imaging (QPI). End-to-end U-Nets favour low-frequency content and under-represent fine, diagnostic detail. We trace this issue to spectral bias and show that the bias is reinforced by high-level skip connections that feed high-frequency features directly into the decoder. Removing those deepest skips thus supervising the network only at a low resolution significantly improves generalisation and…

Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
Saurav Samanta, Bibhas Ranjan Majhi
https://arxiv.org/abs/2507.11174

Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both static and freely-falling observers, are evaluated. Interestingly for both these observers the aforementioned quantities in Unruh and Boulware vacua are finite at the horizon when the scalar field is in thermal equilibrium with the horizon temperature (given by th…

From Redshift to Real Space: Combining Linear Theory With Neural Networks
Edoardo Maragliano, Punyakoti Ganeshaiah Veena, Giulia Degni, Enzo Franco Branchini
https://arxiv.org/abs/2507.11462

From Redshift to Real Space: Combining Linear Theory With Neural Networks
Spectroscopic redshift surveys are key tools to trace the large-scale structure (LSS) of the Universe and test the $Λ$CDM model. However, using redshifts as distance proxies introduces distortions in the 3D galaxy distribution. If uncorrected, these distortions lead to systematic errors in LSS analyses and cosmological parameter estimation. We present a new method that combines linear theory (LT) and a neural network (NN) to mitigate redshift space distortions (RSDs). The hybrid LT+NN approach…

Trace Repair for Temporal Behavior Trees
Sebastian Schirmer, Philipp Schitz, Johann C. Dauer, Bernd Finkbeiner, Sriram Sankaranarayanan
https://arxiv.org/abs/2509.08610 https://…

Trace Repair for Temporal Behavior Trees
We present methods for repairing traces against specifications given as temporal behavior trees (TBT). TBT are a specification formalism for action sequences in robotics and cyber-physical systems, where specifications of sub-behaviors, given in signal temporal logic, are composed using operators for sequential and parallel composition, fallbacks, and repetition. Trace repairs are useful to explain failures and as training examples that avoid the observed problems. In principle, repairs can be …

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jerome Droniou, Jordi Manyer, Jai Tushar
https://arxiv.org/abs/2506.11956

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
In this work, we build on the discrete trace theory developed in [Badia, Droniou, Tushar, arXiv (2024)] to analyse the rate of convergence of the Balancing Domain Decomposition by Constraints (BDDC) preconditioner generated from non-conforming polytopal hybrid discretisation. We prove polylogarithmic condition number bounds for the preconditioner that are independent of the mesh parameter and number of subdomains, and hold on polytopal meshes. The analysis hinges on the continuity of a face tru…

The coarse trace formula of GL(4)
Haoyang Wang, Xinghua Cui, Zhifeng Peng
https://arxiv.org/abs/2509.05313 https://arxiv.org/pdf/2509.05313

The coarse trace formula of GL(4)
Trace formula is an important method to study the Langlands program. Arthur obtains the existence of stable trace formula for connected reductive group. In this paper, we will give the explicit coarse trace formula of GL(4). In general case, Arthur applies the truncation operator on the two sides of trace formula, which is convergent. In our case, we will prove that the divergent terms of the two sides of the trace formula of GL(4)$ are equal. We also obtain the explicit formula for ramified or…

Upper block triangular form for the Laplace-Beltrami operator on the special orthogonal group acquired through a flag of trace polynomials spaces
Petre Birtea, Ioan Casu, Dan Comanescu
https://arxiv.org/abs/2509.08391

Upper block triangular form for the Laplace-Beltrami operator on the special orthogonal group acquired through a flag of trace polynomials spaces
The Laplacian of a general trace polynomial function defined on the special orthogonal group $SO(N)$ is explicitly computed. An invariant flag of spaces generated by trace polynomials is constructed. The matrix of the Laplace-Beltrami operator on $SO(N)$ for this flag of vector spaces takes an upper block triangular form. As a consequence of this construction, the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on $SO(N)$ can be computed in an iterative manner. For the particula…

Stochastic Trace Optimization of Parameter Dependent Matrices Based on Statistical Learning Theory
Arvind K. Saibaba, Ilse C. F. Ipsen
https://arxiv.org/abs/2508.05764 https://

Stochastic Trace Optimization of Parameter Dependent Matrices Based on Statistical Learning Theory
We consider matrices $\boldsymbol{A}(\boldsymbolθ)\in\mathbb{R}^{m\times m}$ that depend, possibly nonlinearly, on a parameter $\boldsymbolθ$ from a compact parameter space $Θ$. We present a Monte Carlo estimator for minimizing $\text{trace}(\boldsymbol{A}(\boldsymbolθ))$ over all $\boldsymbolθ\inΘ$, and determine the sampling amount so that the backward error of the estimator is bounded with high probability. We derive two types of bounds, based on epsilon nets and on generic chaining. B…

Compatibility of quantum trace and UV-IR maps
Samuel Panitch, Sunghyuk Park
https://arxiv.org/abs/2509.09100 https://arxiv.org/pdf/2509.09100

Compatibility of quantum trace and UV-IR maps
This paper studies the connection between the quantum trace map -- which maps the $\mathfrak{sl}_2$-skein module to the quantum Teichmüller space for surfaces and to the quantum gluing module for 3-manifolds -- and the quantum UV-IR map -- which maps the $\mathfrak{gl}_2$-skein module to the $\mathfrak{gl}_1$-skein module of the branched double cover. We show that the two maps are compatible in a precise sense, and that the compatibility map is natural under changes of triangulation; for surfa…

SpiralMap: A Python library of the Milky Way's spiral arms
Abhay Kumar Prusty, Shourya Khanna
https://arxiv.org/abs/2506.11383 https://

SpiralMap: A Python library of the Milky Way's spiral arms
We present a library of the major spiral arm models (and maps) of the Galaxy. The package is written in Python, and allows the user to both extract the 2D trace and overplot the spiral arms in Cartesian/Polar coordinates in both Heliocentric (HC) and Galactocentric (GC) frames. The current version is a compilation of 8 models (and maps) covering a range of tracers (stars, gas). Other models can also be added upon request.

LATIS: Comparing Galaxy and IGM Tomography Maps as Tracers of Large-scale Structure and Protoclusters at $z \sim 2.5$
Andrew B. Newman, Nima Chartab, Mahdi Qezlou, Gwen C. Rudie, Guillermo A. Blanc, Daniel D. Kelson, Simeon Bird, Caitlin Casey, Enrico Congiu, Olga Cucciati, Denise Hung, Brian C. Lemaux, Victoria P\'erez, Jorge Zavala
https://

LATIS: Comparing Galaxy and IGM Tomography Maps as Tracers of Large-scale Structure and Protoclusters at $z \sim 2.5$
We investigate the consistency of intergalactic medium (IGM) tomography and galaxy surveys as tracers of the cosmic web and protoclusters at $z \sim 2.5$. We use maps from the Ly$α$ Tomography IMACS Survey (LATIS), which trace the distributions of Lyman-break galaxies (LBGs) and IGM Ly$α$ absorption on $\simeq 4$ $h^{-1}$ cMpc scales within the same large volume. Overall, the joint distribution of IGM absorption and LBG density is well constrained and accurately described by a simple physical…

On Ray Reordering Techniques for Faster GPU Ray Tracing
Daniel Meister, Jakub Bok\v{s}ansk\'y, Michael Guthe, Ji\v{r}\'i Bittner
https://arxiv.org/abs/2506.11273

On Ray Reordering Techniques for Faster GPU Ray Tracing
We study ray reordering as a tool for increasing the performance of existing GPU ray tracing implementations. We focus on ray reordering that is fully agnostic to the particular trace kernel. We summarize the existing methods for computing the ray sorting keys and discuss their properties. We propose a novel modification of a previously proposed method using the termination point estimation that is well-suited to tracing secondary rays. We evaluate the ray reordering techniques in the context o…

Trace for the Du Bois complex
Hyunsuk Kim
https://arxiv.org/abs/2507.07350 https://arxiv.org/pdf/2507.07350

Trace for the Du Bois complex
We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic aspects of singularities under finite morphisms.

There's a handy list of quotations from Charlie Kirk here. His own words are chilling and certainly justify the description of extreme right.
That doesn't mean that he should have been murdered. Just shunned by anyone with any trace of decency.
https://www.theguardian.com/us-news/…

Stochastic Alignments: Matching an Observed Trace to Stochastic Process Models
Tian Li, Artem Polyvyanyy, Sander J. J. Leemans
https://arxiv.org/abs/2507.06472

Stochastic Alignments: Matching an Observed Trace to Stochastic Process Models
Process mining leverages event data extracted from IT systems to generate insights into the business processes of organizations. Such insights benefit from explicitly considering the frequency of behavior in business processes, which is captured by stochastic process models. Given an observed trace and a stochastic process model, conventional alignment-based conformance checking techniques face a fundamental limitation: They prioritize matching the trace to a model path with minimal deviations,…

Random Operator-Valued Kernels and Moment Dilations
James Tian
https://arxiv.org/abs/2508.10321 https://arxiv.org/pdf/2508.10321

Random Operator-Valued Kernels and Moment Dilations
This paper studies random operator-valued positive definite (p.d.) kernels and their connection to moment dilations. A class of random p.d. kernels is introduced in which the positivity requirement is imposed only in expectation, extending the deterministic case. Basic properties are established, including convexity, sampling stability, and the relationship between mean kernels and deterministic ones. A Gaussian factorization result is proved under a Hilbert-Schmidt/trace condition, clarifying …

Trace Minimization and Roots in ${\rm PSL}(2,\mathbb{R})$
Martin Kreuzer, Anja Moldenhauer, Gerhard Rosenberger
https://arxiv.org/abs/2508.06185 https://ar…

Trace Minimization and Roots in ${\rm PSL}(2,\mathbb{R})$
Suppose that $A,B \in {\rm PSL}(2,\mathbb{R})$ generate a discrete and free group of rank 2, and let $m,n\ge 1$. We consider subgroups $\langle R,S\rangle$ of ${\rm PSL}(2,\mathbb{R})$ generated by roots of $A$ and $B$, i.e., by elements such that $R^m=A$ and $S^n=B$. Depending on whether the commutator trace $τ={\rm tr}([A,B])$ is larger or smaller than 2, we describe necessary and sufficient conditions for $\langle R,S\rangle$ to be discrete and free of rank 2. For $τ\le -2$, this can be ch…

Multiscale transform based seismic reflectivity inversion using convolutional neural network
John Castagna (University of Houston), Oleg Portniaguine (Lumina Geophysical, Houston, Tx), Gabriel Gil (Lumina Geophysical, Houston, Tx), Arnold Oyem (Lumina Geophysical, Houston, Tx), Chen Liang (Lumina Geophysical, Houston, Tx)
https://

Multiscale transform based seismic reflectivity inversion using convolutional neural network
The Multiscale Fourier Transform of a seismic trace performs time-frequency analyses over a range of window lengths. The variation in window length captures local and global relative amplitudes between events, thereby allowing reflectivity inversion that is independent of the amplitude spectrum of the seismic wavelet. As the temporal and spatial variation of the actual seismic wavelet in seismic reflection data is poorly known, this approach has many advantages over conventional seismic reflect…

Transgressing the algebraic coarse character map
Alexander Engel, Matthias Ludewig
https://arxiv.org/abs/2507.10816 https://arxiv.org…

Transgressing the algebraic coarse character map
We pursue an old conjecture of John Roe about the algebraic K-theory of the algebra of finite propagation, locally trace-class operators, namely that transgressing the algebraic coarse character map on this algebra to a Higson dominated corona coincides with the usual Chern character on the corona.

Model Discovery and Graph Simulation: A Lightweight Alternative to Chaos Engineering
Anatoly A. Krasnovsky, Alexander Zorkin
https://arxiv.org/abs/2506.11176

Model Discovery and Graph Simulation: A Lightweight Alternative to Chaos Engineering
Microservice applications are prone to cascading failures because of dense inter-service dependencies. Ensuring resilience usually demands fault-injection experiments in production-like setups. We propose \textit{model discovery} -- an automated CI/CD step that extracts a live dependency graph from trace data -- and show that this lightweight representation is sufficient for accurate resilience prediction. Using the DeathStarBench Social Network, we build the graph, simulate failures via Monte-…

Beyond Self-Regulated Learning Processes: Unveiling Hidden Tactics in Generative AI-Assisted Writing
Kaixun Yang, Yizhou Fan, Luzhen Tang, Mladen Rakovi\'c, Xinyu Li, Dragan Ga\v{s}evi\'c, Guanliang Chen
https://arxiv.org/abs/2508.10310

Beyond Self-Regulated Learning Processes: Unveiling Hidden Tactics in Generative AI-Assisted Writing
The integration of Generative AI (GenAI) into education is reshaping how students learn, making self-regulated learning (SRL) - the ability to plan, monitor, and adapt one's learning - more important than ever. To support learners in these new contexts, it is essential to understand how SRL unfolds during interaction with GenAI tools. Learning analytics offers powerful techniques for analyzing digital trace data to infer SRL behaviors. However, existing approaches often assume SRL processes are…

React-tRace: A Semantics for Understanding React Hooks
Jay Lee, Joongwon Ahn, Kwangkeun Yi
https://arxiv.org/abs/2507.05234 https://a…

React-tRace: A Semantics for Understanding React Hooks
React has become the most widely used web front-end framework, enabling the creation of user interfaces in a declarative and compositional manner. Hooks are a set of APIs that manage side effects in functional components in React. However, their semantics are often seen as opaque to developers, leading to UI bugs. In this paper, we formalize the semantics of the essence of React Hooks we name React-tRace, providing a framework that clarifies their behavior. We demonstrate that our model capture…

Trace Repair Never Loses to Classical Repair: Exact and Explicit Helper Nodes Selection
Wilton Kim, Stanislav Kruglik, Han Mao Kiah
https://arxiv.org/abs/2509.06492 https://

Trace Repair Never Loses to Classical Repair: Exact and Explicit Helper Nodes Selection
We study the repair of Reed--Solomon codes over $\mathbb{F}=\mathbb{B}^t$ using traces over $\mathbb{B}$. Building on the trace framework of Guruswami--Wootters (2017), recent work of Liu--Wan--Xing (2024) reduced repair bandwidth by studying a related subspace $\mathcal{W}_k$. In this work, we determine the dimension of $\mathcal{W}_k$ exactly using cyclotomic cosets and provide an explicit set of helper nodes that attains bandwidth $(n-d-1)\log |\mathbb{B}|$ bits with $d=\text{dim}(…

Revisiting the maximum mass limit of strange stars in higher-order curvature-matter coupled gravity
Debadri Bhattacharjee, Pradip Kumar Chattopadhyay
https://arxiv.org/abs/2508.10524

Revisiting the maximum mass limit of strange stars in higher-order curvature-matter coupled gravity
We explore the maximum mass limit of strange stars within the framework of modified gravity described by $f(\tilde{R},T)=R+αR^{2}+2βT$, where $R$ is the Ricci scalar and $T$ denotes the trace of the energy-momentum tensor. The parameters $α$ and $β$ characterise the contributions from higher-order curvature terms and the coupling between matter and geometry, respectively. By deriving the Tolman-Oppenheimer-Volkoff equations from the modified field equations and applying the MIT bag model eq…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
The Black Angels:
🎵 Without a Trace
#TheBlackAngels
https://blackangels.bandcamp.com/track/without-a-trace
https://open.spotify.com/track/08XTPu3NR0ICMqFg0OGjrQ

I added a 1uF electrolytic between supply on R2, & the nearest ground I could find, on zd7; - this trace is off Q2 emitter, like the previous ones - still has some nasty spikes there; but I guess Q2 is about the worst place; can't think what else to do, but it seems to be working OK; (I used that electrolytic because of space)
Anyway, now it works with serial at under 5v supply, that means I could run it off a USB power bank rather than the ultra caps I was planning.
epson-…

Toward Cyclic A.I. Modelling of Self-Regulated Learning: A Case Study with E-Learning Trace Data
Andrew Schwabe, \"Ozg\"ur Akg\"un, Ella Haig
https://arxiv.org/abs/2507.02913

Toward Cyclic A.I. Modelling of Self-Regulated Learning: A Case Study with E-Learning Trace Data
Many e-learning platforms assert their ability or potential to improve students' self-regulated learning (SRL), however the cyclical and undirected nature of SRL theoretical models represent significant challenges for representation within contemporary machine learning frameworks. We apply SRL-informed features to trace data in order to advance modelling of students' SRL activities, to improve predictability and explainability regarding the causal effects of learning in an eLearning environment…

Sharp estimates of quantum covering problems via a novel trace inequality
Hao-Chung Cheng, Li Gao, Christoph Hirche, Hao-Wei Huang, Po-Chieh Liu
https://arxiv.org/abs/2507.07961

Sharp estimates of quantum covering problems via a novel trace inequality
In this paper, we prove a novel trace inequality involving two operators. As applications, we sharpen the one-shot achievability bound on the relative entropy error in a wealth of quantum covering-type problems, such as soft covering, privacy amplification, convex splitting, quantum information decoupling, and quantum channel simulation by removing some dimension-dependent factors. Moreover, the established one-shot bounds extend to infinite-dimensional separable Hilbert spaces as well. The pro…

Gauge Invariants at Arbitrary $N$ and Trace Relations
Pawel Caputa, Robert de Mello Koch
https://arxiv.org/abs/2509.05834 https://arxiv.org/pdf/2509.05834

Gauge Invariants at Arbitrary $N$ and Trace Relations
We investigate conformal field theories with gauge group $U(N)$ at arbitrary rank $N$, focusing on the role of trace relations in determining the structure of the Hilbert space. Working in the free trace algebra without imposing relations, we identify a class of evanescent states that vanish at finite $N$. Using the Koszul complex of [1], we implement trace relations systematically via ghosts and a fermionic charge $Q_b$. This framework allows us to define and compute transition amplitudes betw…

Extending Nonlocal Kinetic Energy Density Functionals to Isolated Systems via a Density-Functional-Dependent Kernel
Liang Sun, Mohan Chen
https://arxiv.org/abs/2507.08442

Extending Nonlocal Kinetic Energy Density Functionals to Isolated Systems via a Density-Functional-Dependent Kernel
The Wang-Teter-like nonlocal kinetic energy density functional (KEDF) in the framework of orbital-free density functional theory, while successful in some bulk systems, exhibits a critical Blanc-Cances instability [J. Chem. Phys. 122, 214106 (2005)] when applied to isolated systems, where the total energy becomes unbounded from below. We trace this instability to the use of an ill-defined average charge density, which causes the functional to simultaneously violate the scaling law and the posit…

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
Invariant derivations and trace bounds
https://

Revisiting Data Attribution for Influence Functions
Hongbo Zhu, Angelo Cangelosi
https://arxiv.org/abs/2508.07297 https://arxiv.org/pdf/2508.07297

Revisiting Data Attribution for Influence Functions
The goal of data attribution is to trace the model's predictions through the learning algorithm and back to its training data. thereby identifying the most influential training samples and understanding how the model's behavior leads to particular predictions. Understanding how individual training examples influence a model's predictions is fundamental for machine learning interpretability, data debugging, and model accountability. Influence functions, originating from robust statistics, offer …

C and N abundances in globular clusters. I. The case of 47 Tuc and the effect of the first dredge-up
S. Villanova, L. Monaco, Y. Momany, A. Plotnikova, I. Ordenes
https://arxiv.org/abs/2506.11278

C and N abundances in globular clusters. I. The case of 47 Tuc and the effect of the first dredge-up
Globular clusters exhibit star-to-star chemical variations, traceable through both photometric and spectroscopic data. In this study, we investigate chemical variations in the globular cluster NGC104 (47Tucanae), aiming to trace multiple stellar populations across evolutionary phases and examine how the C/N anti-correlation evolves from the main sequence (MS) to the asymptotic giant branch (AGB). We also assess the impact of these populations on the interpretation of the V vs. V-I diagram. [C/F…

Integrality and Specialized Symmetric Functions
Allan Berele
https://arxiv.org/abs/2508.08018 https://arxiv.org/pdf/2508.08018

Integrality and Specialized Symmetric Functions
Given $d_1,\ldots,d_k$ in the field $F$, there is a weighted trace function $F^k\rightarrow F$ given by $tr(x_1,\ldots,x_k)=\sum d_ix_i$. We prove that $F^k$ satisfies trace identities of the forms $α(d_1,\ldots,d_k) x^N=$ a linear combination of terms with lower powers of $x$; and $tr(y_1)\cdots tr(y_n)=$ a linear combination of terms with fewer traces. The approach uses specialized symmetric functions.

Replaced article(s) found for math.PR. https://arxiv.org/list/math.PR/new
[1/1]:
- Hermite trace polynomials and chaos decompositions for the Hermitian Brownian motion
Michael Anshelevich, David Buzinski

hansom swag fellowes

A Trace-Path Integral Formula over Function Fields
Yan Yau Cheng
https://arxiv.org/abs/2509.04540 https://arxiv.org/pdf/2509.04540

A Trace-Path Integral Formula over Function Fields
We show that an arithmetic path integral over the $\ell$-torsion of a Jacobian $J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group $H(J[\ell])$, up to an explicitly determined sign. This is an arithmetic analogue of trace--path integral formulae which arise in quantum field theory, where path integrals over a space of sections of a fibration over a circle can be expressed as the trace of the monodromy action on a Hilbert space.

Poisson-type problems with transmission conditions at boundaries of infinite metric trees
Maryna Kachanovska, Kiyan Naderi, Konstantin Pankrashkin
https://arxiv.org/abs/2506.11218

Poisson-type problems with transmission conditions at boundaries of infinite metric trees
The paper introduces a Poisson-type problem on a mixed-dimensional structure combining a Euclidean domain and a lower-dimensional self-similar component touching a compact surface (interface). The lower-dimensional piece is a so-called infinite metric tree (one-dimensional branching structure), and the key ingredient of the study is a rigorous definition of the gluing conditions between the two components. These constructions are based on the recent concept of embedded trace maps and some abstr…

Reinforcement Learning in Vision: A Survey
Weijia Wu, Chen Gao, Joya Chen, Kevin Qinghong Lin, Qingwei Meng, Yiming Zhang, Yuke Qiu, Hong Zhou, Mike Zheng Shou
https://arxiv.org/abs/2508.08189

Reinforcement Learning in Vision: A Survey
Recent advances at the intersection of reinforcement learning (RL) and visual intelligence have enabled agents that not only perceive complex visual scenes but also reason, generate, and act within them. This survey offers a critical and up-to-date synthesis of the field. We first formalize visual RL problems and trace the evolution of policy-optimization strategies from RLHF to verifiable reward paradigms, and from Proximal Policy Optimization to Group Relative Policy Optimization. We then org…

Hooked the tube amp back up after repairing a bad trace and checking some other soldered connections. It's still making noise in one channel, but it goes away after a little while and only reappears once in a while. I really missed having tunes, maybe I can live with it for a while...🫤🎶

Ehrenfest Dynamics with Spontaneous Localization
Anderson A. Tomaz, Rafael S. Mattos, Saikat Mukherjee, Mario Barbatti
https://arxiv.org/abs/2508.09526 https://

Ehrenfest Dynamics with Spontaneous Localization
We propose Ehrenfest Dynamics with Spontaneous Localization (SLED), a decoherence-corrected extension of Ehrenfest dynamics based on the Gisin-Percival quantum-state diffusion (QSD) equation. In SLED, the electronic wavefunction evolves stochastically in the adiabatic energy basis, producing trajectory-level localization. The trajectory ensemble reproduces a Lindblad-type propagation of the reduced electronic density matrix. This approach ensures linearity, trace preservation, and complete posi…

The Birman-Krein Trace Formula and Scattering Phase on Product space
Hong Zhang
https://arxiv.org/abs/2509.06372 https://arxiv.org/pdf/2509.06372

The Birman-Krein Trace Formula and Scattering Phase on Product space
In this paper, we study the Birman-Krein formula for the potential scattering on the product space $\mathbb{R}^n\times M$, where $M$ is a compact Riemannian manifold possibly with boundary, and $\mathbb{R}^N$ is the Euclidean space with $n\geq 3$ being an odd number. We also derive an upper bound for the scattering trace when $M$ is a bounded Euclidean domain.

Trace Formulas in Noncommutative Geometry
Eva-Maria Hekkelman
https://arxiv.org/abs/2506.21950 https://arxiv.org/pdf/2506.21950

Trace Formulas in Noncommutative Geometry
Trace formulas appear in many forms in noncommutative geometry (NCG). In the first part of this thesis, we obtain results for asymptotic expansions of trace formulas like heat trace expansions by adapting the theory of Multiple Operator Integration to NCG. More broadly, this construction provides a natural language for operator integrals in NCG, which systematises and simplifies operator integral arguments throughout the literature. Towards this end, we construct a functional calculus for abstr…

"Greenwashing at #Elsevier: A political ecology of corporate publishing"
https://doi.org/10.3998/jep.7482

The trace formula of GL(3)
Cui Xinghua, Wang Haoyang, Peng Zhifeng
https://arxiv.org/abs/2509.05312 https://arxiv.org/pdf/2509.05312

The trace formula of GL(3)
Trace formula is an important method to study the Langlands program. In this paper, we will give the explicit coarse trace formula of $\GL(3)$. In general case, Arthur applies the truncation operator on the two sides of trace formula such that they are convergent. In our case, we will prove that the divergent terms of the two sides of the trace formula of $\GL(3)$ are equal. We also obtain the explicit formula for ramified orbits of the geometric side of $\GL(3)$, and show it can be expressed a…

Deep Extragalactic VIsible Legacy Survey (DEVILS): Evolution of the Morphology-Density Relation
L. J. M. Davies, J. Doan, S. Bellstedt, A. S. G. Robotham, S. Phillipps, C. Wolf, M. Meyer, M. Siudek, S. P. Driver
https://arxiv.org/abs/2508.10285

Deep Extragalactic VIsible Legacy Survey (DEVILS): Evolution of the Morphology-Density Relation
Galaxies with different morphological characteristics likely have different evolutionary histories, such that understanding the mechanisms that drive morphological change can provide valuable insights into the galaxy evolution process. These mechanisms largely correlate with local environment, ultimately leading to the well-known local morphology-density relation. To explore how the morphology-density relation is produced, we must look to earlier times, and trace the co-evolution of environment…

Identifiability of the minimum-trace directed acyclic graph and hill climbing algorithms without strict local optima under weakly increasing error variances
Hyunwoong Chang, Jaehoan Kim
https://arxiv.org/abs/2508.05706

Identifiability of the minimum-trace directed acyclic graph and hill climbing algorithms without strict local optima under weakly increasing error variances
We prove that the true underlying directed acyclic graph (DAG) in Gaussian linear structural equation models is identifiable as the minimum-trace DAG when the error variances are weakly increasing with respect to the true causal ordering. This result bridges two existing frameworks as it extends the identifiable cases within the minimum-trace DAG method and provides a principled interpretation of the algorithmic ordering search approach, revealing that its objective is actually to minimize the …

Characterizing Topological Phase Transition in Non-Hermitian Systems
ZhaoXiang Fang, Yongxu Fu, Guang-Can Guo, Long Xiong
https://arxiv.org/abs/2508.08316 https://

Characterizing Topological Phase Transition in Non-Hermitian Systems
We propose and present a concept of Topological Distance (TD), obtained from the integration of trace distance over the generalized Brillouin zone, in order to characterize the topological transitions of non-Hermitian systems. Specifically, such a quantity is used to measure the overall dissimilarity between eigen wavefunctions upon traversing all possible matter states, and confirms the phase boundaries through observing the divergences of both TD and its partial derivatives; we clarify its or…

Evolution of Cluster Alignments as Evidence of Large-scale Structure Formation in the Universe: #GalaxyClusters trace invisible highways of dark matter stretching up to a billion light years across the universe; even more remarkable, the clusters point the way to their neighbors.

Spinless glueballs in generalized linear sigma model
Amir H. Fariborz
https://arxiv.org/abs/2508.09474 https://arxiv.org/pdf/2508.09474

Spinless glueballs in generalized linear sigma model
Within the framework of the generalized linear sigma model, a comprehensive analysis of scalar and pseudoscalar glueballs and their mixing with mesons is presented. The Lagrangian of the model contains two chiral nonets, a quark-antiquark type and a two-quark two-antiquark type. The pseudoscalar and scalar glueballs are introduced through their connections with the axial and the trace anomalies of QCD, respectively. It is found that in order to satisfy the axial anomaly and at the same time acc…

On Araki-Type Trace Inequalities
Po-Chieh Liu, Hao-Chung Cheng
https://arxiv.org/abs/2507.05242 https://arxiv.org/pdf/2507.05242

On Araki-Type Trace Inequalities
In this paper, we prove a trace inequality $\text{Tr}[ f(A) A^s B^s ] \leq \text{Tr}[ f(A) (A^{1/2} B A^{1/2} )^s ]$ for any positive and monotone increasing function $f$, $s\in[0,1]$, and positive semi-definite matrices $A$ and $B$. On the other hand, for $s\in[0,1]$ such that the map $x\mapsto x^s g(x)$ is positive and decreasing, then $ \text{Tr}[ g(A) (A^{1/2} B A^{1/2} )^s ] \leq \text{Tr}[ g(A) A^s B^s ]$.

Crosslisted article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- Compatibility of quantum trace and UV-IR maps
Samuel Panitch, Sunghyuk Park

Swept Volume Computation with Enhanced Geometric Detail Preservation
Pengfei Wang, Yuexin Yang, Shuangmin Chen, Shiqing Xin, Changhe Tu, Wenping Wang
https://arxiv.org/abs/2509.09325

Swept Volume Computation with Enhanced Geometric Detail Preservation
Swept volume computation, the determination of regions occupied by moving objects, is essential in graphics, robotics, and manufacturing. Existing approaches either explicitly track surfaces, suffering from robustness issues under complex interactions, or employ implicit representations that trade off geometric fidelity and face optimization difficulties. We propose a novel inversion of motion perspective: rather than tracking object motion, we fix the object and trace spatial points backward i…

Kernel Trace Distance: Quantum Statistical Metric between Measures through RKHS Density Operators
Arturo Castellanos, Anna Korba, Pavlo Mozharovskyi, Hicham Janati
https://arxiv.org/abs/2507.06055

Kernel Trace Distance: Quantum Statistical Metric between Measures through RKHS Density Operators
Distances between probability distributions are a key component of many statistical machine learning tasks, from two-sample testing to generative modeling, among others. We introduce a novel distance between measures that compares them through a Schatten norm of their kernel covariance operators. We show that this new distance is an integral probability metric that can be framed between a Maximum Mean Discrepancy (MMD) and a Wasserstein distance. In particular, we show that it avoids some pitfa…

I recently bought a fan. You know, because it's hot.
I really wanted something decent, so I spent 3 hours researching the market, tracking down whitelabel products and their resellers, checking brand websites and "data sheets". I queried trade registers to find out from where and for how long they have been operating and which brands belong to them. I also used the internet archive to trace supplier changes over time.
This is completely normal, right?
I call it…

Complexity of mixed Schatten norms of quantum maps
Jan Kochanowski, Omar Fawzi, Cambyse Rouz\'e
https://arxiv.org/abs/2507.08358 https://

Complexity of mixed Schatten norms of quantum maps
We study the complexity of computing the mixed Schatten $\|Φ\|_{q\to p}$ norms of linear maps $Φ$ between matrix spaces. When $Φ$ is completely positive, we show that $\| Φ\|_{q \to p}$ can be computed efficiently when $q \geq p$. The regime $q \geq p$ is known as the non-hypercontractive regime and is also known to be easy for the mixed vector norms $\ell_{q} \to \ell_{p}$ [Boyd, 1974]. However, even for entanglement-breaking completely-positive trace-preserving maps $�…

Strain-driven feedback tunes memory and relaxation in a Mott insulator far from equilibrium
O. Yu. Gorobtsov, Y. Kalcheim, Z. Shao, A. Shabalin, N. Hua, D. Weinstock, R. Bouck, M. Seaberg, D. Zhu, O. G. Shpyrko, I. K. Schuller, A. Singer
https://arxiv.org/abs/2508.09916

Strain-driven feedback tunes memory and relaxation in a Mott insulator far from equilibrium
Memory effects in metal-insulator transitions in quantum materials reveal complex physics and potential for novel technologies mimicking biological neural systems. Nonetheless, understanding of memory and nonlinearity in non-equilibrium transitions remains elusive as they can involve timescales from femtoseconds to microseconds. In this study, we extend time-resolved x-ray Bragg diffraction to the necessary high dynamic range of timescales to fully trace the pathways of far-from-equilibrium pho…

From Technical Excellence to Practical Adoption: Lessons Learned Building an ML-Enhanced Trace Analysis Tool
Kaveh Shahedi, Matthew Khouzam, Heng Li, Maxime Lamothe, Foutse Khomh
https://arxiv.org/abs/2508.01430

From Technical Excellence to Practical Adoption: Lessons Learned Building an ML-Enhanced Trace Analysis Tool
System tracing has become essential for understanding complex software behavior in modern systems, yet sophisticated trace analysis tools face significant adoption gaps in industrial settings. Through a year-long collaboration with Ericsson Montréal, developing TMLL (Trace-Server Machine Learning Library, now in the Eclipse Foundation), we investigated barriers to trace analysis adoption. Contrary to assumptions about complexity or automation needs, practitioners struggled with translating exp…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Companion matrices as sums of $p$-potent and nilpotent matrices
Andrada Pojar
https://arxiv.org/abs/2508.09276 https://arxiv.org/pdf/2508.09276

Companion matrices as sums of $p$-potent and nilpotent matrices
We prove that, over a field $\mathbb{F}$ of odd characteristic $p$, a companion matrix $C$ is the sum of $E$ and $N$, with $E$ $p$-potent (i.e. $E^p = E$,) and $N$ nilpotent, if and only if the trace of $C$ is an integer multiple of unity of $\mathbb{F}$.

The partition function and elliptic curves
Ken Ono
https://arxiv.org/abs/2508.09608 https://arxiv.org/pdf/2508.09608

The partition function and elliptic curves
We recast congruences for the partition function through the geometry of supersingular elliptic curves. For primes $\ell\ge5$ inert in $K_n=\mathbb{Q}(\sqrt{1-24n})$ (equivalently $\big(\tfrac{1-24n}{\ell}\big)=-1$), we show that $p(n)\pmod{\ell}$ is a "supersingular trace'' on $X_0(6)$: a computable dot product on the level-$6$ Brandt module that is a twisted analogue of the Deuring--Eichler formula for class numbers. In the ramified case $\ell\in\{5,7,11\}$ (i.e. $\ell\mid(1-24n)$), a geometr…

Hmm, ok, didn't expect that - I was concentrating on those short very low pulses on the power supply; I hadn't notice the gentle drop over the start of turning the serial on. Hmm, that's a different one I'm going to have to trace.
(Epson HX-20)

A Gutzwiller trace formula for singular potentials
Jared Wunsch, Mengxuan Yang, Yuzhou Joey Zou
https://arxiv.org/abs/2509.05220 https://arxiv.org/pdf/2509…

A Gutzwiller trace formula for singular potentials
The Gutzwiller trace formula relates the asymptotic spacing of quantum-mechanical energy levels in the semiclassical limit to the dynamics of periodic classical particle trajectories. We generalize this result to the case of non-smooth potentials, for which there is partial reflection of energy from derivative discontinuities of the potential. It is the periodic trajectories of an associated branching dynamics that contribute to the trace asymptotics in this more general setting; we obtain a pr…

Tracing Large Scale Structure Morphology with Multiwavelength Line Intensity Maps
Manas Mohit Dosibhatla, Suman Majumdar, Chandra Shekhar Murmu, Samit Kumar Pal, Saswata Dasgupta, Satadru Bag
https://arxiv.org/abs/2508.09112

Tracing Large Scale Structure Morphology with Multiwavelength Line Intensity Maps
Line intensity mapping (LIM) is an emerging technique for probing the large scale structure (LSS) in the post-reionisation era. This captures the integrated flux of a particular spectral line emission from multiple sources within a patch of the sky without resolving them. Mapping different galaxy line emissions, such as the HI $21$-cm and CO rotational lines via LIM, can reveal complementary information about the bias with which the line emitters trace the underlying matter distribution and how…

Kernels of trace operators via fine continuity
Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett
https://arxiv.org/abs/2507.04536 https://

Kernels of trace operators via fine continuity
We study traces of elements of fractional Sobolev spaces $H_p^α(\mathbb{R}^n)$ on closed subsets $Γ$ of $\mathbb{R}^n$, given as the supports of suitable measures $μ$. We prove that if these measures satisfy localized upper density conditions, then quasi continuous representatives vanish quasi everywhere on $Γ$ if and only if they vanish $μ$-almost everywhere on $Γ$. We use this result to characterize the kernel of the trace operator mapping from $H_p^α(\mathbb{R}^n)$ into the space of $…

Trace anomaly contributions to semi-classical wormhole geometries
Mohammad Reza Mehdizadeh, Amir Hadi Ziaie, Francisco S. N. Lobo
https://arxiv.org/abs/2509.04049 https://

Trace anomaly contributions to semi-classical wormhole geometries
We investigate wormhole solutions within the framework of the semi-classical Einstein equations in the presence of the conformal anomaly (or trace anomaly). These solutions are sourced by a stress-energy tensor (SET) derived from the trace anomaly, and depend on two positive coefficients, $α$ and $λ$, determined by the matter content of the theory and on the degrees of freedom of the involved quantum fields. For a Type B anomaly ($α=0$), we obtain wormhole geometries assuming a constant reds…

Holographic Correlators from Thermal Bootstrap
Ilija Buri\'c, Ivan Gusev, Andrei Parnachev
https://arxiv.org/abs/2508.08373 https://arxiv.org/pdf/2508.…

Holographic Correlators from Thermal Bootstrap
Holographic thermal two-point functions can be analyzed using the operator product expansion which contains contributions from both multi-stress-tensor and double-trace operators. The former can be computed by analyzing the bulk equation of motion in a near-boundary expansion, but the latter has remained elusive-in practice, one resorts to solving a partial differential equation with limited accuracy. We show that imposing the Euclidean periodicity condition on the holographic correlator (also …

Infinite Traces by Finality: a Sheaf-Theoretic Approach
Marco Peressotti
https://arxiv.org/abs/2507.22536 https://arxiv.org/pdf/2507.22536

Infinite Traces by Finality: a Sheaf-Theoretic Approach
Kleisli categories have long been recognised as a setting for modelling the linear behaviour of various types of systems. However, the final coalgebra in such settings does not, in general, correspond to a fixed notion of linear semantics. While there are well-understood conditions under which final coalgebras capture finite trace semantics, a general account of infinite trace semantics via finality has remained elusive. In this work, we present a sheaf-theoretic framework for infinite trace se…

Object-level Correlation for Few-Shot Segmentation
Chunlin Wen, Yu Zhang, Jie Fan, Hongyuan Zhu, Xiu-Shen Wei, Yijun Wang, Zhiqiang Kou, Shuzhou Sun
https://arxiv.org/abs/2509.07917

Object-level Correlation for Few-Shot Segmentation
Few-shot semantic segmentation (FSS) aims to segment objects of novel categories in the query images given only a few annotated support samples. Existing methods primarily build the image-level correlation between the support target object and the entire query image. However, this correlation contains the hard pixel noise, \textit{i.e.}, irrelevant background objects, that is intractable to trace and suppress, leading to the overfitting of the background. To address the limitation of this corre…

A Decade-long Landscape of Advanced Persistent Threats: Longitudinal Analysis and Global Trends
Shakhzod Yuldoshkhujaev (Sungkyunkwan University), Mijin Jeon (Sungkyunkwan University), Doowon Kim (University of Tennessee), Nick Nikiforakis (Stony Brook University), Hyungjoon Koo (Sungkyunkwan University)
https://arxiv.org/abs/2509.07457

A Decade-long Landscape of Advanced Persistent Threats: Longitudinal Analysis and Global Trends
An advanced persistent threat (APT) refers to a covert, long-term cyberattack, typically conducted by state-sponsored actors, targeting critical sectors and often remaining undetected for long periods. In response, collective intelligence from around the globe collaborates to identify and trace surreptitious activities, generating substantial documentation on APT campaigns publicly available on the web. While prior works predominantly focus on specific aspects of APT cases, such as detection, e…

On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
Long Chen, Zhe Li, Marco Niggetiedt
https://arxiv.org/abs/2509.03580 https://

On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
We present a novel diagrammatic proof of the identity between the forward matrix element of the energy-momentum-tensor (EMT) trace operator over a single particle's on-shell state and its perturbative pole mass to any loop orders in perturbative gauge theories (with gauge bosons and fermions), without appealing to any pre-laid operator renormalization conditions or Ward identities. The proof is based on the equation of mass-dimensional analysis in dimensional regularization, the topological pro…

zkSDK: Streamlining zero-knowledge proof development through automated trace-driven ZK-backend selection
William Law
https://arxiv.org/abs/2507.05294 https…

zkSDK: Streamlining zero-knowledge proof development through automated trace-driven ZK-backend selection
The rapid advancement of creating Zero-Knowledge (ZK) programs has led to the development of numerous tools designed to support developers. Popular options include being able to write in general-purpose programming languages like Rust from Risc Zero. Other languages exist like Circom, Lib-snark, and Cairo. However, developers entering the ZK space are faced with many different ZK backends to choose from, leading to a steep learning curve and a fragmented developer experience across different pl…

Special Cycle on Shtukas and Categorical Trace
Zeyu Wang
https://arxiv.org/abs/2509.05526 https://arxiv.org/pdf/2509.05526…

Special Cycle on Shtukas and Categorical Trace
In this article, we relate the fake special cycle classes $z_{\mathbb{L}_σ,r}$ attached to a Hecke eigensheaf $\mathbb{L}_σ\in\mathrm{Shv}_{\mathrm{Nilp}}(\mathrm{Bun}_G)$ introduced in the author's previous work to the isotypic part of special cycles on Shtukas. As an application, we relate the self-intersection number of the isotypic part of special cycles arising from Rankin--Selberg period to higher derivatives of Rankin--Selberg $L$-functions.

Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS$_{3}$
Samuel Haupfear, Victoria Martin, Andrew Svesko, Claire Zukowski
https://arxiv.org/abs/2507.05358

Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS$_{3}$
Leading quantum effects in perturbative quantum gravity are captured by functional determinants of kinetic operators. We study such 1-loop determinants in three-dimensional Euclidean (anti-) de Sitter gravity evaluated using two seemingly disparate tools, the Selberg zeta function and the Wilson spool. For the Euclidean BTZ black hole, we demonstrate the Wilson spool for massive bosons of arbitrary spin directly equates to a representation-theoretic version of the Selberg zeta function. In the …

Monitoring Hyperproperties over Observed and Constructed Traces
Marek Chalupa, Thomas A. Henzinger, Ana Oliveira da Costa
https://arxiv.org/abs/2508.02301 https://

Monitoring Hyperproperties over Observed and Constructed Traces
We study the problem of monitoring at runtime whether a system fulfills a specification defined by a hyperproperty, such as linearizability or variants of non-interference. For this purpose, we introduce specifications with both passive and active quantification over traces. While passive trace quantifiers range over the traces that are observed, active trace quantifiers are instantiated with \emph{generator functions}, which are part of the specification. Generator functions enable the monitor…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Optical Phenomena in a Non-Commutative Kalb-Ramond Black Hole Spacetime
A. A. Ara\'ujo Filho, N. Heidari, Iarley P. Lobo, Yuxuan Shi
https://arxiv.org/abs/2508.08889 https:/…

Optical Phenomena in a Non-Commutative Kalb-Ramond Black Hole Spacetime
This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the literature [arXiv:2507.17390]. Accordingly, null geodesics are solved numerically to trace photon paths; the photon sphere and shadow are determined. From Event Horizon Telescope (EHT) measurements of $Sgr A^{*}$, constraints on the parameters $Θ$ (which encapsul…

Entanglement, Trace Anomaly and Confinement in QCD
Kiminad A. Mamo
https://arxiv.org/abs/2507.00176 https://arxiv.org/pdf/2507.00176

Entanglement, Trace Anomaly and Confinement in QCD
We formulate confinement in QCD as an entropic surface phenomenon. Quark and gluon quantum information is localized on a two-dimensional transverse sheet of radius $R_{\mathrm{EE}}$ where the von Neumann entropy of the vacuum attains its maximum. Lattice QCD determinations of scalar (trace) gravitational form factors fix both $R_{\mathrm{EE}}$ and the transverse trace-anomaly density $ρ_h(R_{\mathrm{EE}})$ with percent-level accuracy, enabling a parameter-free mechanical entropy $S_{\mathrm{EE…

Trace Formulas for Deformed W-Algebras
Fabrizio Nieri
https://arxiv.org/abs/2507.02831 https://arxiv.org/pdf/2507.02831

Trace Formulas for Deformed W-Algebras
We investigate trace formulas in $\varepsilon$-deformed W-algebras, highlighting a novel connection to the modular double of $q$-deformed W-algebras. In particular, we show that torus correlators in the additive (Yangian) setting reproduce sphere correlators in the trigonometric setup, possibly with the inclusion of a non-perturbative completion. From a dual perspective, this mechanism implements a gauge theoretic 2d$\to$3d uplift, where a circle direction in the world-sheet transmutes to a com…

LadyBug: A GitHub Bot for UI-Enhanced Bug Localization in Mobile Apps
Junayed Mahmud, James Chen, Terry Achille, Camilo Alvarez-Velez, Darren Dean Bansil, Patrick Ijieh, Samar Karanch, Nadeeshan De Silva, Oscar Chaparro, Andrian Marcus, Kevin Moran
https://arxiv.org/abs/2508.05085

LadyBug: A GitHub Bot for UI-Enhanced Bug Localization in Mobile Apps
This paper introduces LadyBug, a GitHub bot that automatically localizes bugs for Android apps by combining UI interaction information with text retrieval. LadyBug connects to an Android app's GitHub repository, and is triggered when a bug is reported in the corresponding issue tracker. Developers can then record a reproduction trace for the bug on a device or emulator and upload the trace to LadyBug via the GitHub issue tracker. This enables LadyBug to utilize both the text from the original b…

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part
Yuhao Cheng
https://arxiv.org/abs/2508.07167 https://

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 3: contribution of the elliptic part
We continue to work on \emph{Beyond Endoscopy} for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification at $S = \{\infty, q_1, \dots, q_r\}$ (where $2 \in S$), generalizing the final step of Altuğ's work in the unramified setting. We derive an explicit asymptotic formula for the elliptic part when summing over $n

The trace-free Einstein tensor is not variational for the metric as field variable
Arian L. von Blanckenburg, Domenico Giulini, Philip K. Schwartz
https://arxiv.org/abs/2509.02490

The trace-free Einstein tensor is not variational for the metric as field variable
It is well-known that the trace-free Einstein tensor of a pseudo-Riemannian metric cannot arise by variation of a local diffeomorphism-invariant action functional with the (inverse) metric as field variable. We show that this statement remains true even for general local actions, without the assumption of diffeomorphism invariance.

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

SHIELDA: Structured Handling of Exceptions in LLM-Driven Agentic Workflows
Jingwen Zhou, Jieshan Chen, Qinghua Lu, Dehai Zhao, Liming Zhu
https://arxiv.org/abs/2508.07935 https:…

SHIELDA: Structured Handling of Exceptions in LLM-Driven Agentic Workflows
Large Language Model (LLM) agentic systems are software systems powered by LLMs that autonomously reason, plan, and execute multi-step workflows to achieve human goals, rather than merely executing predefined steps. During execution, these workflows frequently encounter exceptions. Existing exception handling solutions often treat exceptions superficially, failing to trace execution-phase exceptions to their reasoning-phase root causes. Furthermore, their recovery logic is brittle, lacking stru…

Nucleon mass: trace anomaly and $\sigma$-terms
Martin Hoferichter, Jacobo Ruiz de Elvira
https://arxiv.org/abs/2506.23902 https://arx…

Nucleon mass: trace anomaly and $σ$-terms
We give a pedagogical introduction to the origin of the mass of the nucleon. We first review the trace anomaly of the energy-momentum tensor, which generates most of the nucleon mass via the gluon fields and thus contributes even in the case of vanishing quark masses. We then discuss the contributions to the nucleon mass that do originate from the Higgs mechanism via the quark masses, reviewing the current status of nucleon $σ$-terms that encode the corresponding matrix elements.

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Stack Trace-Based Crash Deduplication with Transformer Adaptation
Md Afif Al Mamun, Gias Uddin, Lan Xia, Longyu Zhang
https://arxiv.org/abs/2508.19449 https://

Stack Trace-Based Crash Deduplication with Transformer Adaptation
Automated crash reporting systems generate large volumes of duplicate reports, overwhelming issue-tracking systems and increasing developer workload. Traditional stack trace-based deduplication methods, relying on string similarity, rule-based heuristics, or deep learning (DL) models, often fail to capture the contextual and structural relationships within stack traces. We propose dedupT, a transformer-based approach that models stack traces holistically rather than as isolated frames. dedupT f…