Tootfinder

Modules over the category of Jacobi diagrams in handlebodies
Mai Katada
https://arxiv.org/abs/2509.16230 https://arxiv.org/pdf/2509.16230

Modules over the category of Jacobi diagrams in handlebodies
The linear category $\mathbf{A}$ of Jacobi diagrams in handlebodies was introduced by Habiro and Massuyeau. We study the category of modules over the category $\mathbf{A}$. We generalize the adjunction given by Powell to an adjunction between the category of $\mathbf{A}$-modules and the category of modules over the linear PROP for Casimir Lie algebras by using the category $\mathbf{A}^{L}$ of extended Jacobi diagrams in handlebodies. Then we study subquotient $\mathbf{A}$-modules of $\mathbf{A}…

On the Tannakian group scheme of $\mathcal{D}$-modules
Xiaodong Yi
https://arxiv.org/abs/2509.17564 https://arxiv.org/pdf/2509.17564

On the Tannakian group scheme of $\mathcal{D}$-modules
We prove a Lefschetz theorem for the Tannakian group scheme of $\mathcal{D}$-modules, in arbitrary characteristic. In characteristic $0$, We prove a Künneth formula for the Tannakian group scheme of regular singular integrable connections, and disprove it for the Tannakian group scheme of all integrable connections without any regularity assumption.

just found a node_modules folder that's inside a node_modules folder that's inside a node_modules folder

LWN: Explicit lazy imports for #Python
I'm VERY excited by this PEP.
https://lwn.net/SubscriberLink/1041120/d969b8b8c72251be/

Adaptive Fast-and-Slow Visual Program Reasoning for Long-Form VideoQA
Chenglin Li, Feng Han, FengTao, Ruilin Li, Qianglong Chen, Jingqi Tong, Yin Zhang, Jiaqi Wang
https://arxiv.org/abs/2509.17743

Adaptive Fast-and-Slow Visual Program Reasoning for Long-Form VideoQA
Large language models (LLMs) have shown promise in generating program workflows for visual tasks. However, previous approaches often rely on closed-source models, lack systematic reasoning, and struggle with long-form video question answering (videoQA). To address these challenges, we introduce the FS-VisPR framework, an adaptive visual program reasoning approach that balances fast reasoning for simple queries with slow reasoning for difficult ones. First, we design efficient visual modules (e.…

Expert-as-a-Service: Towards Efficient, Scalable, and Robust Large-scale MoE Serving
Ziming Liu, Boyu Tian, Guoteng Wang, Zhen Jiang, Peng Sun, Zhenhua Han, Tian Tang, Xiaohe Hu, Yanmin Jia, Yan Zhang, He Liu, Mingjun Zhang, Yiqi Zhang, Qiaoling Chen, Shenggan Cheng, Mingyu Gao, Yang You, Siyuan Feng
https://arxiv.org/abs/2509.17863…

Expert-as-a-Service: Towards Efficient, Scalable, and Robust Large-scale MoE Serving
Mixture-of-Experts (MoE) models challenge serving infrastructures with dynamic, sparse expert utilization, causing instability on conventional systems designed for dense architectures. We propose EaaS, a novel serving system to enable efficient, scalable, and robust MoE deployment. Our system disaggregates MoE modules into independent, stateless services. This design enables fine-grained resource scaling and provides inherent fault tolerance by decoupling compute units. The architecture is powe…

"World’s first solar park featuring hydrogen-producing PV modules takes shape in Belgium"
#Belgium #SolarPower #Energy

World’s first solar park featuring hydrogen-producing PV modules takes shape in Belgium
A 2 MW solar park in Wallonia, Belgium, will rely 50 kW of hydrogen-producing solar modules developed by Solhyd, a spin-off from KU Lueven. The installation will be the first demonstration of Solhyd’s technology at a commercially-relevant scale.

While testing some new misp-modules, such as the OpenAPI interface, I discovered a strange behavior in Firefox when trying to reach TCP port 6666, which is the default port used by misp-modules.
It seems Firefox blocks access to a predefined list of TCP ports, and this has been in place for quite some time, as you can see in the commit log.
If you want to override the blocked port list, there is an obscure setting called network.security.ports.banned.override.
…

Equivariant $H\underline{\mathbb{F}}_p$-modules are wild
Jacob Fjeld Grevstad, Clover May
https://arxiv.org/abs/2509.17604 https://arxiv.org/pdf/2509.17604…

Equivariant $H\underline{\mathbb{F}}_p$-modules are wild
Let $k$ be an arbitrary field of characteristic $p$ and let $G$ be a finite group. We investigate the representation type, derived representation type, and singularity category of the $k$-linear (cohomological) Mackey algebra. We classify when the cohomological Mackey algebra is wild for $G$ a cyclic $p$-group. Furthermore, we show the cohomological Mackey algebra is derived wild whenever $G$ surjects onto a $p$-group of order more than two, and the Mackey algebra is derived wild whenever $G$ i…

Expansion of Integer Matrices over Various Rings
Jakub Szyma\'nski
https://arxiv.org/abs/2509.17823 https://arxiv.org/pdf/2509.17823

Expansion of Integer Matrices over Various Rings
In this article, we explore the problem of constructing high-dimensional expanders through the study of relations between expansion constants over different rings. We investigate expansion constants of integer matrices regarded as morphisms between free modules over $\mathbb{R}$, $\mathbb{Z}$, and $\mathbb{Z}/p\mathbb{Z}$. We introduce a new condition which we call integral spanning regarding kernels of integer matrices, and prove that it ensures equality of real and integral expansions. In add…

Crosslisted article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- Modules over the category of Jacobi diagrams in handlebodies
Mai Katada
ht…

FreeScout is AGPL licensed shared inbox,with one-time-purchase AGPL modules https://freescout.net/modules-faq/#license
I got the chance to try out buying / installing a module for FreeScout, adding CRM features
I run it on Cloudron, and after paying $16.99CAD and entering the lic…

Self-Supervised Discovery of Neural Circuits in Spatially Patterned Neural Responses with Graph Neural Networks
Kijung Yoon
https://arxiv.org/abs/2509.17174 https://

Self-Supervised Discovery of Neural Circuits in Spatially Patterned Neural Responses with Graph Neural Networks
Inferring synaptic connectivity from neural population activity is a fundamental challenge in computational neuroscience, complicated by partial observability and mismatches between inference models and true circuit dynamics. In this study, we propose a graph-based neural inference model that simultaneously predicts neural activity and infers latent connectivity by modeling neurons as interacting nodes in a graph. The architecture features two distinct modules: one for learning structural conne…

The first elements of the Russian Orbital Station, or ROS, were to launch in 2027
so it would be ready for human habitation in 2028.
Upon completion in the mid-2030s, the station would encompass seven shiny new modules,
potentially including a private habitat for space tourists.
It would be so sophisticated that the station could fly autonomously for months if needed.
Importantly, the Russian station was also to fly in a polar orbit at about 400 km.
Thi…

Russia is about to do the most Russia thing ever with its next space station
“Russia, meanwhile, will be left to carry on the legacy of the ISS, with all its problems.”…

Modeling Scintillation Photon Transport and Reconstruction Algorithms for the Time-of-Flight Detector in the T2K Neutrino Experiment
C. Alt, A. Blanchet, S. Bordoni, P. Collard, T. H. Bui, M. H. Bui, G. Ha, C. Jes\'us-Valls, V. S. Kasturi, A. Klustov\'a, A. Korzenev, T. A. Le, T. Lux, A. D. Nguyen, D. T. Nguyen, H. Nguyen, S. Samani, F. S\'anchez, M. Ta, T. Tha\'iduc, E. Villa

Modeling Scintillation Photon Transport and Reconstruction Algorithms for the Time-of-Flight Detector in the T2K Neutrino Experiment
The T2K ND280 upgrade aims to reduce the systematic uncertainty of the CP-violating phase, $δ_{CP}$, to reject non-CP violation hypothesis at $3σ$ confidence level. A crucial component of the ND280 upgrade, alongside the Super Fine Grained Detector (SuperFGD) and two High-Angle Time Projection Chambers (TPCs), is the Time-of-Flight (ToF) detector, which significantly enhances background rejection and particle identification capabilities. The ToF detector features six modules in a cube configu…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/5]:
- Look-Ahead Reasoning on Learning Platforms
Haiqing Zhu, Tijana Zrnic, Celestine Mendler-D\"unner
https://arxiv.org/abs/2511.14745 https://mastoxiv.page/@arXiv_csLG_bot/115575981129228810
- Deep Gaussian Process Proximal Policy Optimization
Matthijs van der Lende, Juan Cardenas-Cartagena
https://arxiv.org/abs/2511.18214 https://mastoxiv.page/@arXiv_csLG_bot/115610315210502140
- Spectral Concentration at the Edge of Stability: Information Geometry of Kernel Associative Memory
Akira Tamamori
https://arxiv.org/abs/2511.23083 https://mastoxiv.page/@arXiv_csLG_bot/115644325602130493
- xGR: Efficient Generative Recommendation Serving at Scale
Sun, Liu, Zhang, Wu, Yang, Liang, Li, Ma, Liang, Ren, Zhang, Liu, Zhang, Qian, Yang
https://arxiv.org/abs/2512.11529 https://mastoxiv.page/@arXiv_csLG_bot/115723008170311172
- Credit Risk Estimation with Non-Financial Features: Evidence from a Synthetic Istanbul Dataset
Atalay Denknalbant, Emre Sezdi, Zeki Furkan Kutlu, Polat Goktas
https://arxiv.org/abs/2512.12783 https://mastoxiv.page/@arXiv_csLG_bot/115729287232895097
- The Semantic Illusion: Certified Limits of Embedding-Based Hallucination Detection in RAG Systems
Debu Sinha
https://arxiv.org/abs/2512.15068 https://mastoxiv.page/@arXiv_csLG_bot/115740048142898391
- Towards Reproducibility in Predictive Process Mining: SPICE -- A Deep Learning Library
Stritzel, H\"uhnerbein, Rauch, Zarate, Fleischmann, Buck, Lischka, Frey
https://arxiv.org/abs/2512.16715 https://mastoxiv.page/@arXiv_csLG_bot/115745910810427061
- Differentially private Bayesian tests
Abhisek Chakraborty, Saptati Datta
https://arxiv.org/abs/2401.15502 https://mastoxiv.page/@arXiv_statML_bot/111843467510507382
- SCAFFLSA: Taming Heterogeneity in Federated Linear Stochastic Approximation and TD Learning
Paul Mangold, Sergey Samsonov, Safwan Labbi, Ilya Levin, Reda Alami, Alexey Naumov, Eric Moulines
https://arxiv.org/abs/2402.04114
- Adjusting Model Size in Continual Gaussian Processes: How Big is Big Enough?
Guiomar Pescador-Barrios, Sarah Filippi, Mark van der Wilk
https://arxiv.org/abs/2408.07588 https://mastoxiv.page/@arXiv_statML_bot/112965266196097314
- Non-Perturbative Trivializing Flows for Lattice Gauge Theories
Mathis Gerdes, Pim de Haan, Roberto Bondesan, Miranda C. N. Cheng
https://arxiv.org/abs/2410.13161 https://mastoxiv.page/@arXiv_heplat_bot/113327593338897860
- Dynamic PET Image Prediction Using a Network Combining Reversible and Irreversible Modules
Sun, Zhang, Xia, Sun, Chen, Yang, Liu, Zhu, Liu
https://arxiv.org/abs/2410.22674 https://mastoxiv.page/@arXiv_eessIV_bot/113401026110345647
- Targeted Learning for Variable Importance
Xiaohan Wang, Yunzhe Zhou, Giles Hooker
https://arxiv.org/abs/2411.02221 https://mastoxiv.page/@arXiv_statML_bot/113429912435819479
- Refined Analysis of Federated Averaging and Federated Richardson-Romberg
Paul Mangold, Alain Durmus, Aymeric Dieuleveut, Sergey Samsonov, Eric Moulines
https://arxiv.org/abs/2412.01389 https://mastoxiv.page/@arXiv_statML_bot/113588027268311334
- Embedding-Driven Data Distillation for 360-Degree IQA With Residual-Aware Refinement
Abderrezzaq Sendjasni, Seif-Eddine Benkabou, Mohamed-Chaker Larabi
https://arxiv.org/abs/2412.12667 https://mastoxiv.page/@arXiv_csCV_bot/113672538318570349
- 3D Cell Oversegmentation Correction via Geo-Wasserstein Divergence
Peter Chen, Bryan Chang, Olivia A Creasey, Julie Beth Sneddon, Zev J Gartner, Yining Liu
https://arxiv.org/abs/2502.01890 https://mastoxiv.page/@arXiv_csCV_bot/113949981686723660
- DHP: Discrete Hierarchical Planning for Hierarchical Reinforcement Learning Agents
Shashank Sharma, Janina Hoffmann, Vinay Namboodiri
https://arxiv.org/abs/2502.01956 https://mastoxiv.page/@arXiv_csRO_bot/113949997485625086
- Foundation for unbiased cross-validation of spatio-temporal models for species distribution modeling
Diana Koldasbayeva, Alexey Zaytsev
https://arxiv.org/abs/2502.03480
- GraphCompNet: A Position-Aware Model for Predicting and Compensating Shape Deviations in 3D Printing
Juheon Lee (Rachel), Lei (Rachel), Chen, Juan Carlos Catana, Hui Wang, Jun Zeng
https://arxiv.org/abs/2502.09652 https://mastoxiv.page/@arXiv_csCV_bot/114017924551186136
- LookAhead Tuning: Safer Language Models via Partial Answer Previews
Liu, Wang, Luo, Yuan, Sun, Liang, Zhang, Zhou, Hooi, Deng
https://arxiv.org/abs/2503.19041 https://mastoxiv.page/@arXiv_csCL_bot/114227502448008352
- Constraint-based causal discovery with tiered background knowledge and latent variables in single...
Christine W. Bang, Vanessa Didelez
https://arxiv.org/abs/2503.21526 https://mastoxiv.page/@arXiv_statML_bot/114238919468512990
toXiv_bot_toot

Automorphisms of Frobenius twisted de Rham cohomology
Shizhang Li, Shubhodip Mondal
https://arxiv.org/abs/2509.17279 https://arxiv.org/pdf/2509.17279

Automorphisms of Frobenius twisted de Rham cohomology
In this short paper, we prove that the moduli of automorphisms of Frobenius twisted de Rham cohomology functor is given by $\mathbb{G}_m$. Our method is to use the notion of $\mathbb{G}_a^{\mathrm{perf}}$-modules and its connection to the de Rham cohomology functor introduced in \cite{M22}. As an application of the induced $\mathbb{G}_m$-action, we reprove a result of Bhatt, Petrov, and Vologodsky on the decomposition of the Frobenius twisted de Rham complex.

Uniformly-S-pseudo-projective modules
Mohammad adarbeh, Mohammad Saleh
https://arxiv.org/abs/2510.10170 https://arxiv.org/pdf/2510.10170

Uniformly-S-pseudo-projective modules
In this paper, we introduce the notion of uniformly-S-pseudo-projective (u-S-pseudo-projective) modules as a generalization of u-S-projective modules. Let R be a ring and S a multiplicative subset of R. An R-module P is said to be u-S-pseudo-projective if for any submodule K of P, there is s\in S such that for any u-S-epimorphism f:P\to \frac{P}{K}, sf can be lifted to an endomorphism g:P\to P. Some properties of this notion are obtained. For example, we prove that an R-module M is u-S-quasi-pr…

👍✅ Runtimes supporting CommonJS and ESM
👎❌ Modules dual publishing both CommonJS and ESM

Local Rigidity of Quasi--Lie Brackets on Quaternionic Banach Modules and Applications to Nonlinear PDEs
Nassim Athmouni
https://arxiv.org/abs/2510.10124 https://

Local Rigidity of Quasi--Lie Brackets on Quaternionic Banach Modules and Applications to Nonlinear PDEs
We establish a local rigidity theorem for quasi--Lie brackets on quaternionic Banach right modules. Under quantitative control of antisymmetry and Jacobi defects, we construct an explicit bilinear correction that preserves right $\mathbb{H}$--linearity and restores the exact Lie property. The approach combines a radial homotopy operator, a controlled Neumann-series inversion, and a finite-rank adjustment, all with explicit operator estimates. This constructive framework bridges quaternionic fun…

Motivic Homotopy Groups of Spheres and Free Summands of Stably Free Modules
Sebastian Gant, Ben Williams
https://arxiv.org/abs/2510.10033 https://arxiv.org…

Motivic Homotopy Groups of Spheres and Free Summands of Stably Free Modules
Working over an algebraically closed field of characteristic $0$, we show that the motivic stable homotopy groups of the sphere spectrum can be determined entirely from the motivic homotopy groups of the $p$-completed sphere spectra and the motivic cohomology of the ground field, except possibly for the $0$ and $-1$-stems. Using this, we show that the complex realization map from the motivic cohomology group to the classical stable homotopy group is an isomorphism in a range of bidegrees. We ap…

Released v0.23.0 of the ha-mqtt-discoverable and ha-mqtt-discoverable-cli modules.
Details at #homeassistant

OpenTofu v1.11 is out and now supports ephemeral resources and write-only attributes 🎉
I registered my provider in the OpenTofu registry: https://search.opentofu.org/provider/x-cli/remotefs/latest
Enjoy ♥️

OpenTofu Registry
A fast and easy-to-use UI for quickly browsing and viewing OpenTofu modules and providers.

ARM: Discovering Agentic Reasoning Modules for Generalizable Multi-Agent Systems
Bohan Yao, Shiva Krishna Reddy Malay, Vikas Yadav
https://arxiv.org/abs/2510.05746 https://

ARM: Discovering Agentic Reasoning Modules for Generalizable Multi-Agent Systems
Large Language Model (LLM)-powered Multi-agent systems (MAS) have achieved state-of-the-art results on various complex reasoning tasks. Recent works have proposed techniques to automate the design of MASes, eliminating the need for manual engineering. However, these techniques perform poorly, often achieving similar or inferior performance to simple baselines. Furthermore, they require computationally expensive re-discovery of architectures for each new task domain and expensive data annotation…

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…

On Annihilator Multiplication Modules
Suat Ko\c{c}
https://arxiv.org/abs/2510.03791 https://arxiv.org/pdf/2510.03791

On Annihilator Multiplication Modules
An $A$-module $E$ is an annihilator multiplication module if, for each $e\in E$, there is a finitely generated ideal $I$ of $A$ such that $ann(e)=ann(IE)$. In this paper, we investigate fundamental properties of annihilator multiplication modules and employ them as a framework for characterizing significant classes of rings and modules, including torsion-free modules, multiplication modules, injective modules, and principal ideal von Neumann regular rings. In addition, we establish that, for su…

The stable homology of Hurwitz modules and applications
Aaron Landesman, Ishan Levy
https://arxiv.org/abs/2510.02068 https://arxiv.org/pdf/2510.02068

The stable homology of Hurwitz modules and applications
We show that the homology of modules for Hurwitz spaces stabilizes and compute its stable value. As one consequence, we compute the moments of Selmer groups in quadratic twist families of abelian varieties over suitably large function fields. As a second consequence, we deduce a version of Bhargava's conjecture, counting the number of $S_d$ degree $d$ extensions of $\mathbb F_q(t)$, for suitably large $q$. As a third consequence, we deduce that the homology of Hurwitz spaces associated to racks…

If you want a quick way to install misp-modules, the installation via ‘uv’ is super easy.
#misp #cti #opensource

Do you have a “weird” hobby? One of mine is early digital cameras.
This one has replaceable lens/sensor modules.

from my link log —
Source code linking in C2Rust: merging C headers into Rust modules.
https://immunant.com/blog/2019/12/header_merging/
saved 2019-12-27

Extensions between functors from Jacobi diagrams in handlebodies
Mai Katada
https://arxiv.org/abs/2510.09625 https://arxiv.org/pdf/2510.09625

Extensions between functors from Jacobi diagrams in handlebodies
The first Ext-groups between Schur functors in the category of modules over the $\Bbbk$-linearization $\Bbbk\mathbf{gr}^{\operatorname{op}}$ of the opposite of the category of finitely generated free groups are computed for a filed $\Bbbk$ of characteristic $0$. The $\Bbbk$-linear category $\mathbf{A}$ of Jacobi diagrams in handlebodies, which was introduced by Habiro and Massuyeau, has an $\mathbb{N}$-grading whose degree $0$ part identifies with the category $\Bbbk\mathbf{gr}^{\operatorname{o…

A Symmetric-Key Cryptosystem Based on the Burnside Ring of a Compact Lie Group
Ziad Ghanem
https://arxiv.org/abs/2510.10901 https://arxiv.org/pdf/2510.1090…

A Symmetric-Key Cryptosystem Based on the Burnside Ring of a Compact Lie Group
Classical linear ciphers, such as the Hill cipher, operate on fixed, finite-dimensional modules and are therefore vulnerable to straightforward known-plaintext attacks that recover the key as a fully determined linear operator. We propose a symmetric-key cryptosystem whose linear action takes place instead in the Burnside ring $A(G)$ of a compact Lie group $G$, with emphasis on the case $G=O(2)$. The secret key consists of (i) a compact Lie group $G$; (ii) a secret total ordering of the subgrou…

The Simons Observatory: Characterization of the 220/280 GHz TES Detector Modules
Daniel Dutcher, Peter Dow, Shannon M. Duff, Shawn W. Henderson, Johannes Hubmayr, Bradley R. Johnson, Michael J. Link, Tammy J. Lucas, Michael D. Niemack, Yudai Seino, Rita F. Sonka, Suzanne Staggs, Yuhan Wang, Kaiwen Zheng
https://arxiv.org/abs/2509.22382

The Simons Observatory: Characterization of the 220/280 GHz TES Detector Modules
The Simons Observatory (SO) is a new suite of cosmic microwave background telescopes in the Chilean Atacama Desert with an extensive science program spanning cosmology, Galactic and extragalactic astrophysics, and particle physics. SO will survey the millimeter-wave sky over a wide range of angular scales using six spectral bands across three types of dichroic, polarization-sensitive transition-edge sensor (TES) detector modules: Low-Frequency (LF) modules with bandpasses centered near 30 and 4…

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras
Se-jin Oh, Travis Scrimshaw
https://arxiv.org/abs/2510.10874 h…

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras
We construct a higher level analogue of Dorey's rule, which describe certain surjective morphisms between Kirillov--Reshetikhin (KR) modules over quantum affine algebras. Building on this, we establish a generalized T-system of short exact sequences and prove the denominator formula between KR modules in all nonexceptional types, except with only mild ambiguities persisting in type $C_n^{(1)}$. As a consequence, we can completely classify when a tensor product of KR modules is simple. These res…

Refashion: Reconfigurable Garments via Modular Design
Rebecca Lin, Michal Luk\'a\v{c}, Mackenzie Leake
https://arxiv.org/abs/2510.11941 https://arxiv.o…

Refashion: Reconfigurable Garments via Modular Design
While bodies change over time and trends vary, most store-bought clothing comes in fixed sizes and styles and fails to adapt to these changes. Alterations can enable small changes to otherwise static garments, but these changes often require sewing and are non-reversible. We propose a modular approach to garment design that considers resizing, restyling, and reuse earlier in the design process. Our contributions include a compact set of modules and connectors that form the building blocks of mo…

So this is what one possible database migration scenario looks like in Kitten when you’re storing JavaScript objects (instances of JavaScript classes) in your database.
(In this case, I’m moving a VerifiedAccounts collection comprising VerifiedAccount instances to an Accounts collection comprising Account instances, which introduces an inVerified boolean to the model.)
See the Database App Modules Kitten tutorial for more:

Gate Teleportation vs Circuit Cutting in Distributed Quantum Computing
Shobhit Gupta, Nikolay Sheshko, Daniel J. Dilley, Alvin Gonzales, Manish K. Singh, Zain H. Saleem
https://arxiv.org/abs/2510.08894

Gate Teleportation vs Circuit Cutting in Distributed Quantum Computing
Distributing circuits across quantum processor modules will enable the execution of circuits larger than the qubit count limitations of monolithic processors. While distributed quantum computation has primarily utilized circuit cutting, it incurs an exponential growth of sub-circuit sampling and classical post-processing overhead with an increasing number of cuts. The entanglement-based gate teleportation approach does not inherently incur exponential sampling overhead, provided that quantum in…

Agentic Property-Based Testing: Finding Bugs Across the Python Ecosystem
Muhammad Maaz, Liam DeVoe, Zac Hatfield-Dodds, Nicholas Carlini
https://arxiv.org/abs/2510.09907 https:/…

Agentic Property-Based Testing: Finding Bugs Across the Python Ecosystem
Property-based testing (PBT) is a lightweight formal method, typically implemented as a randomized testing framework. Users specify the input domain for their test using combinators supplied by the PBT framework, and the expected properties or invariants as a unit-test function. The framework then searches for a counterexample, e.g. by generating inputs and calling the test function. In this work, we demonstrate an LLM-based agent which analyzes Python modules, infers function-specific and cros…

The Role of Parametric Injection-A Systematic Study of Parametric Retrieval-Augmented Generation
Minghao Tang, Shiyu Ni, Jingtong Wu, Zengxin Han, Keping Bi
https://arxiv.org/abs/2510.12668

The Role of Parametric Injection-A Systematic Study of Parametric Retrieval-Augmented Generation
Retrieval-augmented generation (RAG) enhances large language models (LLMs) by retrieving external documents. As an emerging form of RAG, parametric retrieval-augmented generation (PRAG) encodes documents as model parameters (i.e., LoRA modules) and injects these representations into the model during inference, enabling interaction between the LLM and documents at parametric level. Compared with directly placing documents in the input context, PRAG is more efficient and has the potential to offe…

A Schauder Basis for Multiparameter Persistence
Peter Bubenik, Zachariah Ross
https://arxiv.org/abs/2510.10347 https://arxiv.org/pdf/2510.10347

A Schauder Basis for Multiparameter Persistence
Certain classes of multiparameter persistence modules may be encoded as signed barcodes, represented as points in a polyhedral subset of Euclidean space, we refer to as signed persistence diagrams. These signed persistence diagrams exist in the dual space of compactly supported, Lipschitz functionals on a polyhedral pair. In the interest of statistics and machine learning on multiparameter persistence modules, we aim to embed these signed persistence diagrams into Banach or Hilbert space. We us…

Thanks AI!
Crucial is shutting down — because Micron wants to sell its RAM and SSDs to AI companies instead | The Verge
https://www.theverge.com/news/837594/crucial-ram-ssd-micron-ai

SynthVC: Leveraging Synthetic Data for End-to-End Low Latency Streaming Voice Conversion
Zhao Guo, Ziqian Ning, Guobin Ma, Lei Xie
https://arxiv.org/abs/2510.09245 https://

SynthVC: Leveraging Synthetic Data for End-to-End Low Latency Streaming Voice Conversion
Voice Conversion (VC) aims to modify a speaker's timbre while preserving linguistic content. While recent VC models achieve strong performance, most struggle in real-time streaming scenarios due to high latency, dependence on ASR modules, or complex speaker disentanglement, which often results in timbre leakage or degraded naturalness. We present SynthVC, a streaming end-to-end VC framework that directly learns speaker timbre transformation from synthetic parallel data generated by a pre-traine…

Local degrees of FI-modules through spectral sequences
Cihan Bahran
https://arxiv.org/abs/2509.23998 https://arxiv.org/pdf/2509.23998

Local degrees of FI-modules through spectral sequences
We establish bounds on the local degrees of FI-modules (in the sense of Church-Miller-Nagpal-Reinhold [CMNR18]) through a spectral sequence which only depend on the initial page and is independent from how many pages have been flipped.

Replaced article(s) found for math.AC. https://arxiv.org/list/math.AC/new
[1/1]:
- Algebrization of some complete modules
Mohsen Asgharzadeh
https://

I started building an application to schedule posts across multiple social media platforms. Details are irrelevant to this post. Suffice to say, modules are running in a #Docker container on my #SynologyNAS at home. It’s access it when I’m at home. However, I’ll soon travel to Australia for weeks, and …

Nifty tool from the prolific dev graysky2 to keep a db of the kernel modules you load, simplifying the process of build a minimal kernel https://github.com/graysky2/modprobed-db

#Emacs lisp to find all occurrences of the form AB4123 (i.e., my university's module codes) in a document:
(save-excursion
(setq r nil)
(while
(re-search-forward "[A-Z][A-Z]4[0-9][0-9][0-9]" nil t)
(push (match-string-no-properties 0) r))
r)
I can then manipulate r, the result, in the *scratch* buffer (I find 15 distinct modules are …

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case
Francesco Baldassarri
https://arxiv.org/abs/2510.00848 https://arx…

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case
We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially interested in determining quasi-abelian categories of complete linearly topologized k-modules, which are also closed symmetric monoidal for a suitable choice of tensor product and internal Hom, and have enough projectives or injectives. For k a suitably generalized adic ring, we describe here a few examples of such cat…

SG-XDEAT: Sparsity-Guided Cross-Dimensional and Cross-Encoding Attention with Target-Aware Conditioning in Tabular Learning
Chih-Chuan Cheng, Yi-Ju Tseng
https://arxiv.org/abs/2510.12659

SG-XDEAT: Sparsity-Guided Cross-Dimensional and Cross-Encoding Attention with Target-Aware Conditioning in Tabular Learning
We propose SG-XDEAT (Sparsity-Guided Cross Dimensional and Cross-Encoding Attention with Target Aware Conditioning), a novel framework designed for supervised learning on tabular data. At its core, SG-XDEAT employs a dual-stream encoder that decomposes each input feature into two parallel representations: a raw value stream and a target-conditioned (label-aware) stream. These dual representations are then propagated through a hierarchical stack of attention-based modules. SG-XDEAT integrates th…

Listening or Reading? Evaluating Speech Awareness in Chain-of-Thought Speech-to-Text Translation
Jacobo Romero-D\'iaz, Gerard I. G\'allego, Oriol Pareras, Federico Costa, Javier Hernando, Cristina Espa\~na-Bonet
https://arxiv.org/abs/2510.03115

Listening or Reading? Evaluating Speech Awareness in Chain-of-Thought Speech-to-Text Translation
Speech-to-Text Translation (S2TT) systems built from Automatic Speech Recognition (ASR) and Text-to-Text Translation (T2TT) modules face two major limitations: error propagation and the inability to exploit prosodic or other acoustic cues. Chain-of-Thought (CoT) prompting has recently been introduced, with the expectation that jointly accessing speech and transcription will overcome these issues. Analyzing CoT through attribution methods, robustness evaluations with corrupted transcripts, and p…

Am Frankfurter #Flughafen wurde eine 2,8 km lange #Photovoltaikanlage mit 37.000 vertikal montierten Modulen in Betrieb genommen.
Die 17,4 MW starke Anlage soll jährlich bis zu 17,4 Millionen kWh Strom für

Frankfurt airport now hosting 17.4 MW vertical PV plant
Next2Sun constructed the photovoltaic system with 37,000 vertically mounted solar modules. It stretches over a length of 2.8 km along the airport's Runway West.

Poisson Energy Formulation for Floorplanning: Variational Analysis and Mathematical Foundations
Wenxing Zhu, Hao Ai
https://arxiv.org/abs/2510.08126 https://

Poisson Energy Formulation for Floorplanning: Variational Analysis and Mathematical Foundations
Arranging many modules within a bounded domain without overlap, central to the Electronic Design Automation (EDA) of very large-scale integrated (VLSI) circuits, represents a broad class of discrete geometric optimization problems with physical constraints. This paper develops a variational and spectral framework for Poisson energy-based floorplanning and placement in physical design. We show that the Poisson energy, defined via a Neumann Poisson equation, is exactly the squared H^{-1} Sobolev …

Decomposing multipersistence modules using functor calculus
Bj{\o}rnar Gullikstad Hem
https://arxiv.org/abs/2510.06178 https://arxiv.org/pdf/2510.06178

Decomposing multipersistence modules using functor calculus
We apply poset cocalculus, a functor calculus framework for functors out of a poset, to study the problem of decomposing multipersistence modules into simpler components. We both prove new results in this topic and offer a new perspective on already established results. In particular, we show that a pointwise finite-dimensional bipersistence module is middle-exact if and only if it is isomorphic to the homology of a homotopy degree 1 functor, from which we deduce a novel, more synthetic proof o…

porting #zig modules forward to newer versions is a chore, but also educational. just ported zig-toml to v0.15.1

A Riesz-Fredholm type theorem on certain Hilbert C*-modules
Zahra Panahi, Kamran Sharifi
https://arxiv.org/abs/2509.25881 https://arxiv.org/pdf/2509.25881

A Riesz-Fredholm type theorem on certain Hilbert C*-modules
Let $C$ be compact modular operator on a Hilbert C*-module $E$ satisfying property $\mathbb{[H]}$ [{\it J. Math. Phys.} {\bf 49} (2008), 033519], and let $ L :=I-C$. We prove the existence of a unique natural number $r$ for which $L^r$ is an EP operator on $E$. Moreover, we show that the kernel of $L^r$ is a finitely generated submodule of $E$ and that $E$ admits the decomposition $E=Ker(L^r) \oplus Ran(L^r)$. These results provide a framework for analyzing the solvability of the equation $x-Cx…

DiT360: High-Fidelity Panoramic Image Generation via Hybrid Training
Haoran Feng, Dizhe Zhang, Xiangtai Li, Bo Du, Lu Qi
https://arxiv.org/abs/2510.11712 https://

DiT360: High-Fidelity Panoramic Image Generation via Hybrid Training
In this work, we propose DiT360, a DiT-based framework that performs hybrid training on perspective and panoramic data for panoramic image generation. For the issues of maintaining geometric fidelity and photorealism in generation quality, we attribute the main reason to the lack of large-scale, high-quality, real-world panoramic data, where such a data-centric view differs from prior methods that focus on model design. Basically, DiT360 has several key modules for inter-domain transformation a…

Integrated Localization, Mapping, and Communication through VCSEL-Based Light-emitting RIS (LeRIS)
Rashid Iqbal, Dimitrios Bozanis, Dimitrios Tyrovolas, Christos K. Liaskos, Muhammad Ali Imran, George K. Karagiannidis, Hanaa Abumarshoud
https://arxiv.org/abs/2510.08071

Integrated Localization, Mapping, and Communication through VCSEL-Based Light-emitting RIS (LeRIS)
This paper presents a light-emitting reconfigurable intelligent surface (LeRIS) architecture that integrates vertical cavity surface emitting lasers (VCSELs) to jointly support user localization, obstacle-aware mapping, and millimeter-wave (mmWave) communication in programmable wireless environments (PWEs). Unlike prior light-emitting diode (LED)-based LeRIS designs with diffuse emission or LiDAR-assisted schemes requiring bulky sensing modules, the proposed VCSEL-based approach exploits narrow…

Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
Jing Jiang, Siying Wu
https://arxiv.org/abs/2510.04215 https://arxiv.org/pdf/…

Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
Let g be a exceptional complex simple Lie algebra and q be a parabolic subalgebra. A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q. In this paper, we will determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras of exceptional Lie algebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.

Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules
Song-Ung Ri, Hyon-Hui Ju, Jin-Myong Kim
https://arxiv.org/abs/2510.00445

Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules
In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generalized bilateral weighted shift operator on the standard Hilbert C-module over C-algebra of compact operators on a separable Hilbert space.

Note on length and multiplicity of modules over two-dimensional regular local rings
Futoshi Hayasaka, Vijay Kodiyalam
https://arxiv.org/abs/2510.07779 https://

Note on length and multiplicity of modules over two-dimensional regular local rings
We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to attain the bounds. As consequences, we have formulae on the multiplicity of integrally closed modules.

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules
Daowei Lu, Dingguo Wang
https://arxiv.org/abs/2509.20670 https://arxiv.org/pdf/2509.20670

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules
Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$-comodule Poisson 3-Lie algebra. Assume that there exists an $H$-colinear map which is also an algebra map from $H$ to the Poisson center of $A$. In this paper we generalize the fundamental theorem of $(A, H)$-Hopf modules to Poisson 3-Lie $(A, H)$-Hopf modules and deduce relative projectivity in the category of Poisson 3-Lie $(A, H)$-Hopf modules.

Replaced article(s) found for math.CO. https://arxiv.org/list/math.CO/new
[1/2]:
- Stanley decompositions of modules of covariants
William Q. Erickson, Markus Hunziker

Embedding Sustainability in Software Engineering Curriculum: A Case Study
Ruzanna Chitchyan, Niki Mahmoudi
https://arxiv.org/abs/2510.03321 https://arxiv.o…

Embedding Sustainability in Software Engineering Curriculum: A Case Study
Sustainability is increasingly recognized as a critical dimension of engineering education, yet its integration into Software Engineering curricula remains a challenge. This paper reports on a case study that examines how sustainability is being embedded across modules in the Software Engineering program at one university. The paper outlines the process through which academics and students co-identified opportunities for integration, guided by the five dimensions of the Sustainability Awareness…

Finiteness and holonomicity of skein modules
David Jordan, Iordanis Romaidis
https://arxiv.org/abs/2509.22313 https://arxiv.org/pdf/2509.22313

Finiteness and holonomicity of skein modules
We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal skein algebra of the boundary - a property including finite generation and a Lagrangian support condition. Our approach involves defining skein transfer bimodules, topologically obtained by 2-handle attachments, and establishing q-analogues of statements in D-module theory to prove preservation of holonomicity.

Manifolds and Modules: How Function Develops in a Neural Foundation Model
Johannes Bertram, Luciano Dyballa, T. Anderson Keller, Savik Kinger, Steven W. Zucker
https://arxiv.org/abs/2512.07869 https://arxiv.org/pdf/2512.07869 https://arxiv.org/html/2512.07869
arXiv:2512.07869v1 Announce Type: new
Abstract: Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for under- standing brain function. Here, we peek inside a SOTA foundation model of neural activity (Wang et al., 2025) as a physiologist might, characterizing each 'neuron' based on its temporal response properties to parametric stimuli. We analyze how different stimuli are represented in neural activity space by building decoding man- ifolds, and we analyze how different neurons are represented in stimulus-response space by building neural encoding manifolds. We find that the different processing stages of the model (i.e., the feedforward encoder, recurrent, and readout modules) each exhibit qualitatively different representational structures in these manifolds. The recurrent module shows a jump in capabilities over the encoder module by 'pushing apart' the representations of different temporal stimulus patterns; while the readout module achieves biological fidelity by using numerous specialized feature maps rather than biologically plausible mechanisms. Overall, we present this work as a study of the inner workings of a prominent neural foundation model, gaining insights into the biological relevance of its internals through the novel analysis of its neurons' joint temporal response patterns.
toXiv_bot_toot

Learning Hanzi Character Through VR-Based Mortise-Tenon
Conglin Ma, Jiatong Li, Sen-Zhe Xu, Ju Dai, Jie Liu, Feng Zhou
https://arxiv.org/abs/2510.11264 https://

Learning Hanzi Character Through VR-Based Mortise-Tenon
This paper introduces a novel VR-based system that redefines the acquisition of Hanzi character literacy by integrating traditional mortise-tenon joinery principles (HVRMT).Addressing the challenge of abstract character memorization in digital learning,our system deconstructs Hanzi components into interactive "structural radicals"akin to wooden joint modules.Leveraging PICO's 6DoF spatial tracking and LLM's morphological analysis,learners assemble stroke sequences with haptic feedback simulatin…

The Simons Observatory: Characterization of All DC/RF Routing Wafers for Detector Modules
Alicia Middleton, Kyuyoung Bae, Cody J. Duell, Shannon M. Duff, Erin Healy, Zachary B. Huber, Johannes Hubmayr, Ben Keller, Lawrence T. Lin, Michael J. Link, Tammy J. Lucas, Michael D. Niemack, Eve M. Vavagiakis, Yuhan Wang
https://arxiv.org/abs/2510.…

The Simons Observatory: Characterization of All DC/RF Routing Wafers for Detector Modules
The Simons Observatory (SO) is a cosmic microwave background experiment with over 67,000 polarization-sensitive transition-edge sensor (TES) detectors currently installed for use in observations and plans to increase the total detector count to ${\sim}$98,000 detectors with the Advanced SO upgrade. The TES arrays are packaged into Universal Focal-Plane Modules (UFMs), which also contain the multiplexing readout circuit. Within a readout module, a DC/RF routing wafer provides a cold interface be…

Evaluating Relayed and Switched Quantum Key Distribution (QKD) Network Architectures
Antonis Selentis, Nikolas Makris, Alkinoos Papageorgopoulos, Persefoni Konteli, Konstantinos Christodoulopoulos, George T. Kanellos, Dimitris Syvridis
https://arxiv.org/abs/2509.24440

Evaluating Relayed and Switched Quantum Key Distribution (QKD) Network Architectures
We evaluate the performance of two architectures for network-wide quantum key distribution (QKD): Relayed QKD, which relays keys over multi-link QKD paths for non-adjacent nodes, and Switched QKD, which uses optical switches to dynamically connect arbitrary QKD modules to form direct QKD links between them. An advantage of Switched QKD is that it distributes quantum keys end-to-end, whereas Relayed relies on trusted nodes. However, Switched depends on arbitrary matching of QKD modules. We first…

Geometry over finite local rings: Rigidity and Isospectrality
Yishai Lavi, Ori Parzanchevski
https://arxiv.org/abs/2510.09324 https://arxiv.org/pdf/2510.09…

Geometry over finite local rings: Rigidity and Isospectrality
We study the simplicial order complexes obtained from free modules over finite local rings. These complexes arise naturally as geodesic spheres in Bruhat-Tits buildings over non-archimedean local fields. We establish two forms of rigidity, showing that their automorphism groups arise from the underlying algebraic group, and that they are determined by sparse induced subgraphs. We compute the spectra of these subgraphs and show that they form excellent expanders, which results in expansion for g…

AILoRA: Function-Aware Asymmetric Initialization for Low-Rank Adaptation of Large Language Models
Xiaoshuang Ji, Zhendong Zhao, Xiaoyan Gu, Xiaojun Chen, Xin Zhao, Zeyao Liu
https://arxiv.org/abs/2510.08034

AILoRA: Function-Aware Asymmetric Initialization for Low-Rank Adaptation of Large Language Models
Parameter-efficient finetuning (PEFT) aims to mitigate the substantial computational and memory overhead involved in adapting large-scale pretrained models to diverse downstream tasks. Among numerous PEFT strategies, Low-Rank Adaptation (LoRA) has emerged as one of the most widely adopted approaches due to its robust empirical performance and low implementation complexity. In practical deployment, LoRA is typically applied to the $W^Q$ and $W^V$ projection matrices of self-attention modules, en…

On norms on Harish-Chandra modules
Joseph Bernstein, Pritam Ganguly, Bernhard Kr\"otz, Job Kuit, Eitan Sayag
https://arxiv.org/abs/2510.09370 https://…

On norms on Harish-Chandra modules
The Casselman-Wallach theorem is a foundational result in the theory of representations of real reductive groups connecting algebraic representations to topological representations. We provide a quantitative version of this theorem. For that we introduce the notion of {\it Sobolev gap} for a Harish-Chandra module. This is a new invariant whose finiteness is highly non-trivial. We determine the Sobolev gap for representations in the unitary dual of the group $\SL(2,\R)$ and establish uniform fin…

VITA-VLA: Efficiently Teaching Vision-Language Models to Act via Action Expert Distillation
Shaoqi Dong, Chaoyou Fu, Haihan Gao, Yi-Fan Zhang, Chi Yan, Chu Wu, Xiaoyu Liu, Yunhang Shen, Jing Huo, Deqiang Jiang, Haoyu Cao, Yang Gao, Xing Sun, Ran He, Caifeng Shan
https://arxiv.org/abs/2510.09607

VITA-VLA: Efficiently Teaching Vision-Language Models to Act via Action Expert Distillation
Vision-Language Action (VLA) models significantly advance robotic manipulation by leveraging the strong perception capabilities of pretrained vision-language models (VLMs). By integrating action modules into these pretrained models, VLA methods exhibit improved generalization. However, training them from scratch is costly. In this work, we propose a simple yet effective distillation-based framework that equips VLMs with action-execution capability by transferring knowledge from pretrained small…

Hopf bimodules for bialgebroids
Sophie Chemla, Niels Kowalzig
https://arxiv.org/abs/2510.06417 https://arxiv.org/pdf/2510.06417

Hopf bimodules for bialgebroids
Generalising a result for Hopf algebras, we not only define the four possible types of Hopf modules in the bialgebroid setting but also yield the notion of two-sided two-cosided Hopf modules, also known as Hopf bimodules or tetramodules, in this realm. By explicitly formulating a fundamental theorem for Hopf modules via the concept of Hopf-Galois comodules, we prove that the category of Hopf bimodules can be endowed with the structure of a (pre-)braided monoidal category in two different ways, …

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Lattices in Tate modules
Bjorn Poonen, Sergey Rybakov
https://

An AUTOSAR-Aligned Architectural Study of Vulnerabilities in Automotive SoC Software
Srijita Basu, Haraldsson Bengt, Miroslaw Staron, Christian Berger, Jennifer Horkoff, Magnus Almgren
https://arxiv.org/abs/2510.07941

An AUTOSAR-Aligned Architectural Study of Vulnerabilities in Automotive SoC Software
Cooperative, Connected and Automated Mobility (CCAM) are complex cyber-physical systems (CPS) that integrate computation, communication, and control in safety-critical environments. At their core, System-on-Chip (SoC) platforms consolidate processing units, communication interfaces, AI accelerators, and security modules into a single chip. AUTOSAR (AUTomotive Open System ARchitecture) standard was developed in the automotive domain to better manage this complexity, defining layered software str…

Ulrich modules over local rings of dimension two
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker
https://arxiv.org/abs/2510.02698 https://arxiv.org/pdf/251…

Ulrich modules over local rings of dimension two
It is proved that Ulrich modules exist for a large class of local rings of dimension two. This complements earlier work of the authors and Ziquan Zhuang that described complete intersection domains of dimension two that admit no Ulrich modules. As an application, it is proved that, for this class of rings, the length of a nonzero module of finite projective dimension is at least the multiplicity of the local ring.

On equivariant vector bundles on the Fargues--Fontaine curve over a finite extension
Rustam Steingart
https://arxiv.org/abs/2510.12533 https://arxiv.org/pd…

On equivariant vector bundles on the Fargues--Fontaine curve over a finite extension
Let $K/E/\mathbb{Q}_p$ be a tower of finite extensions with $E$ Galois. We relate the category of $G_K$-equivariant vector bundles on the Fargues--Fontaine curve with coefficients in $E$ with $E$-$G_K$-$B$-pairs and describe crystalline and de Rham objects in explicit terms. When $E$ is a proper extension, we give a new description of the category in terms of compatible tuples of $\mathbf{B}_e$-modules, which allows us to compute Galois cohomology in terms of an explicit Čech complex which can…

Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang, Yue Xin
https://arxiv.org/abs/2509.19829 https://arxiv.org/pdf/2509.1982…

Persistence modules induced by inner functions
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topological Data Analysis, has received widespread attention. In this paper, we aim to use persistence module theory to study inner functions. We introduce the persistence modules arised from the level sets of inner functions. Some properties of these persistence modules are shown. In particular, we prove that the persisten…

from my link log —
Source code linking in C2Rust: merging C headers into Rust modules.
https://immunant.com/blog/2019/12/header_merging/
saved 2019-12-27

Whittaker modules over the loop Virasoro algebra
Zhiqiang Li, Shaobin Tan, Qing Wang
https://arxiv.org/abs/2509.24574 https://arxiv.org/pdf/2509.24574

Whittaker modules over the loop Virasoro algebra
In this paper, we first study two classes of Whittaker modules over the loop Witt algebra ${\mathfrak g}:=\mathcal{W}\otimes\mathcal{A}$, where $\mathcal{W}=\text{Der}({\mathbb{C}}[t])$, $\mathcal{A}={\mathbb{C}}[t,t^{-1}]$. The necessary and sufficient conditions for these Whittaker modules being simple are determined. Furthermore, we study a family of Whittaker modules over the loop Virasoro algebra $\mathfrak{L}:=Vir\otimes\mathcal{A}$, where $Vir$ is the Virasoro algebra. The irreducibility…

Replaced article(s) found for math.CT. https://arxiv.org/list/math.CT/new
[1/1]:
- Contraderived categories of CDG-modules
Leonid Positselski, Jan Stovicek
http…

The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Wenfei Liu, Renjie Lyu
https://arxiv.org/abs/2510.10430 https://

The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Building on the Atiyah--Singer holomorphic Lefschetz fixed-point theorem, we define ramification modules associated to the fixed loci of a finite group acting on a compact complex manifold. This allows us to generalize the Chevalley--Weil formula for compact Riemann surfaces to higher dimensions. More precisely, let $G$ be a finite group acting on a compact complex manifold $X$, and let $\mathcal{E}$ be a $G$-equivariant locally free sheaf on $X$. Then, in the representation ring $R(G)_\mathbb{…

In-the-Flow Agentic System Optimization for Effective Planning and Tool Use
Zhuofeng Li, Haoxiang Zhang, Seungju Han, Sheng Liu, Jianwen Xie, Yu Zhang, Yejin Choi, James Zou, Pan Lu
https://arxiv.org/abs/2510.05592

In-the-Flow Agentic System Optimization for Effective Planning and Tool Use
Outcome-driven reinforcement learning has advanced reasoning in large language models (LLMs), but prevailing tool-augmented approaches train a single, monolithic policy that interleaves thoughts and tool calls under full context; this scales poorly with long horizons and diverse tools and generalizes weakly to new scenarios. Agentic systems offer a promising alternative by decomposing work across specialized modules, yet most remain training-free or rely on offline training decoupled from the l…

Simple Yetter-Drinfeld modules over infinite-dimensional Taft algebras
Xiangjun Zhen, Gongxiang Liu, Jing Yu
https://arxiv.org/abs/2509.26154 https://arxiv…

Simple Yetter-Drinfeld modules over infinite-dimensional Taft algebras
Let H be an infinite-dimensional Taft algebra over an algebraically closed field k of characteristic 0. We find all the simple Yetter-Drinfeld modules V over H, and classifies those V with B(V) is finite-dimensional.

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang, Xun Xie
https://arxiv.org/abs/2509.24346

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
In this paper, we give an efficient algorithm to compute the Gelfand-Kirillov dimensions of simple highest weight modules of exceptional Lie algebras. By using the Sommers-Achar duality, we also determine the annihilator varieties of these highest weight modules.

A symmetric biderivation structure on polynomial algebras and a class of modules over the special Jordan algebra $H_n(K)$ of symmetric matrices
Yangjie Yin, Gang Han
https://arxiv.org/abs/2509.25867

A symmetric biderivation structure on polynomial algebras and a class of modules over the special Jordan algebra $H_n(K)$ of symmetric matrices
There exists a biderivation structure on the polynomial algebra $\mathscr{A}[n] = K[x_1,\dots,x_n],$ where $K$ is a field with $\operatorname{char}(K)\ne 2$, defined by $f \circ h = \sum_{i=1}^n \frac{\partial f}{\partial x_i}\,\frac{\partial h}{\partial x_i}.$ Let $\mathscr{A}_k[n]$ denote the subspace of homogeneous polynomials of degree $k$. Then $(\mathscr{A}_2[n],\circ)$ is a Jordan algebra, isomorphic to the special Jordan algebra $H_n(K)$ of $n\times n$ symmetric matrices. Each $\mathscr…

Computing weighted sheaf cohomology using noncommutative differential modules
Michael K. Brown, Daniel Erman
https://arxiv.org/abs/2510.02131 https://arxiv…

Computing weighted sheaf cohomology using noncommutative differential modules
We describe a novel method for computing sheaf cohomology over weighted projective stacks using exterior algebra and differential module techniques, generalizing an algorithm due to Eisenbud-Floystad-Schreyer over projective space.

In-Field Mapping of Grape Yield and Quality with Illumination-Invariant Deep Learning
Ciem Cornelissen, Sander De Coninck, Axel Willekens, Sam Leroux, Pieter Simoens
https://arxiv.org/abs/2510.04864

In-Field Mapping of Grape Yield and Quality with Illumination-Invariant Deep Learning
This paper presents an end-to-end, IoT-enabled robotic system for the non-destructive, real-time, and spatially-resolved mapping of grape yield and quality (Brix, Acidity) in vineyards. The system features a comprehensive analytical pipeline that integrates two key modules: a high-performance model for grape bunch detection and weight estimation, and a novel deep learning framework for quality assessment from hyperspectral (HSI) data. A critical barrier to in-field HSI is the ``domain shift" ca…

Gorenstein-Projective Modules over the Ring of Dual Integers
Xiu-Hua Luo (Department of Mathematics Nantong University,Mathematical Sciences Florida Atlantic University), Markus Schmidmeier (Department of Mathematics Nantong University,Mathematical Sciences Florida Atlantic University)
https://arxiv.org/abs/2509.22091

Gorenstein-Projective Modules over the Ring of Dual Integers
The ring of dual integers is the bounded polynomial ring $\mathbb Z[ε]=\mathbb Z[T]/(T^2)$ with integer coefficients. We describe the (finitely generated) Gorenstein-projective $\mathbb Z[ε]$-modules as the torsionless $\mathbb Z[ε]$-modules, or equivalently, as the perfect differential structures of abelian groups. Moreover, the stable category of G-proj$\mathbb Z[ε]$ modulo projectives is shown to be equivalent to the orbit category $\mathcal D^b(\mathbb Z)/[1]$ of the derived category of…

Crosslisted article(s) found for math.AC. https://arxiv.org/list/math.AC/new
[1/1]:
- Efficient generation of projective modules: a motivic view
Aravind Asok, Morgan Opie, Brian Shin, Tariq Syed

Positivity properties of canonical bases
Jiepeng Fang, Xuhua He
https://arxiv.org/abs/2510.12154 https://arxiv.org/pdf/2510.12154

Positivity properties of canonical bases
We prove that the canonical basis of a modified quantum group $\dot{\mathbf{U}}$ exhibits strong positivity properties for the canonical basis elements arising from spherical parabolic subalgebras. Our main result establishes that the structure constants for both the multiplication with arbitrary canonical basis elements in $\dot{\mathbf{U}}$ and the action on the canonical basis elements of arbitrary tensor products of simple lowest and highest weight modules by these elements belong to $\math…

AvatarVTON: 4D Virtual Try-On for Animatable Avatars
Zicheng Jiang, Jixin Gao, Shengfeng He, Xinzhe Li, Yulong Zheng, Zhaotong Yang, Junyu Dong, Yong Du
https://arxiv.org/abs/2510.04822

AvatarVTON: 4D Virtual Try-On for Animatable Avatars
We propose AvatarVTON, the first 4D virtual try-on framework that generates realistic try-on results from a single in-shop garment image, enabling free pose control, novel-view rendering, and diverse garment choices. Unlike existing methods, AvatarVTON supports dynamic garment interactions under single-view supervision, without relying on multi-view garment captures or physics priors. The framework consists of two key modules: (1) a Reciprocal Flow Rectifier, a prior-free optical-flow correctio…

Monoidal model structures over infinite groups
Ioannis Emmanouil, Olympia Talelli
https://arxiv.org/abs/2510.08195 https://arxiv.org/pdf/2510.08195

Monoidal model structures over infinite groups
The stable category of modules over the algebra of a finite group with coefficients in a field is a compactly generated tensor triangulated category, that has been studied extensively in representation theory. In this paper, we provide a plethora of infinite groups G, for which the category of kG-modules (where k is a commutative coherent ring of finite global dimension) admits a monoidal model structure, in the sense of Hovey, whose associated homotopy category is a compactly generated tensor …

Monomial curves and locally linear resolution
Takayuki Hibi, Peter Schenzel
https://arxiv.org/abs/2510.04412 https://arxiv.org/pdf/2510.04412

Monomial curves and locally linear resolution
For four elements of a Noetherian ring we construct complexes of free modules of length three (resp. five) by an explicit description of the homomorphisms of the free modules. We provide exactness criteria for them. As an application we use these results in order to describe explicit the minimal free resolution of the Hartshorne--Rao module of a monomial curve lying on a smooth quadric. Also it provides an example of linearly generated module with syzygies of arbitrary high degree.

Comprehensive Restriction Algorithm for Hypergeometric Systems
Hiromasa Nakayama, Nobuki Takayama
https://arxiv.org/abs/2510.05104 https://arxiv.org/pdf/25…

Comprehensive Restriction Algorithm for Hypergeometric Systems
An algorithm computing the restriction of a holonomic D-module to a linear subspace was given by T.Oaku in 1997. We consider a problem of computing the restriction for a given holonomic D-module with parameters. We will give a partial answer to the problem for general holonomic D-modules and an answer to hypergeometric holonomic D-modules.

Weight modules and gluing of sheaves on the flag variety
Pablo Boixeda Alvarez, Calder Morton-Ferguson
https://arxiv.org/abs/2509.25156 https://arxiv.org/p…

Weight modules and gluing of sheaves on the flag variety
We study a natural enlargement of the BGG Category O for a semisimple Lie algebra: the category of weight modules with trivial central character and finite-dimensional weight spaces supported on the root lattice. We give a geometric realization of this category as unipotently monodromic sheaves on the flag variety satisfying a singular support condition. We then explain that a derived version $\mathcal{D}$ of this category is Koszul dual to the Kazhdan-Laumon Category O, a different enlargement…

Representation Theory of $0$-Schur Algebras and Related Categories
Woo-Seok Jung, Young-Tak Oh
https://arxiv.org/abs/2509.26194 https://arxiv.org/pdf/2509.…

Representation Theory of $0$-Schur Algebras and Related Categories
Jensen, Su, and Yang described the projective indecomposable modules of the $0$-Schur algebra $\mathbf{S}_0(n,r)$ using its geometric realization. In this paper, the simple modules of $\mathbf{S}_0(n,r)$ are identified by computing the tops of the projective indecomposable modules. Furthermore, functorial relations among the module categories $\mathbf{H}_r(0)$\textsf{-mod}, $\mathbf{S}_0(n,r)$\textsf{-mod}, and $U_0(\mathfrak{gl}_n)$\textsf{-mod} are examined, where $\mathbf{H}_r(0)$ denotes th…

Generalized Rank via Minimal Subposet
Thomas Br\"ustle, Justin Desrochers, Samuel Leblanc
https://arxiv.org/abs/2510.10837 https://arxiv.org/pdf/2510.…

Generalized Rank via Minimal Subposet
Let $\mathcal{C}$ be a small, connected category with finite hom-sets. We show that if the embedding of a connected subcategory $\mathcal{J}$ is both initial and final, then the restriction of any $\mathcal{C}$-module along $\mathcal{J}$ preserves the generalized rank-or equivalently, the multiplicity of the ``entire" interval modules for $\mathcal{C}$ and $\mathcal{J}$. Conversely, we prove that this property characterizes initial and final embeddings when both $\mathcal{C}$ and $\mathcal{J}$ …

Special modules over Jordan algebras
Iryna Kashuba, Vera Serganova
https://arxiv.org/abs/2509.23070 https://arxiv.org/pdf/2509.23070

Special modules over Jordan algebras
In this paper we study special representations of finite-dimensional Jordan algebra $J$ whose $Rad^2 J=0$. For each Jordan algebra $J$ of this class we consider its Tits-Kantor-Koecher construction $TKK(J)$ and then associate to the latter a quiver with relations $Q$ such that the category of representations of $Q$ is isomorphic to the category of special representations of $J$.

Exact structures and maximal canonically Jordan recoverable subcategories for modules over type $A$ algebras
Benjamin Dequ\^ene, Sunny Roy
https://arxiv.org/abs/2509.25012 https…

Exact structures and maximal canonically Jordan recoverable subcategories for modules over type $A$ algebras
On one hand, exact structures were introduced by D. Quillen in the '70s. They can be defined as collections of short exact sequences in a fixed abelian category satisfying additional properties. On the other hand, in a recent work, A. Garver, R. Patrias, and H. Thomas introduced Jordan recoverability. Given a bounded quiver $(Q,R)$, a full additive subcategory of $\operatorname{rep}(Q,R)$ is said to be Jordan recoverable if any $X \in \mathscr{C}$ can be recovered, up to isomorphism, from the…