Tootfinder

My #SensorWatch module arrived so now I can potentially run one of my #Casio F-91Ws (or my F-84W) with #DecimalTime because I wasn't a giant enough 🤓 already

Have you heard the slightly chaotic chatter wrt to a Local Privilege Escalation (LPE) vulnerability in the #Linux #kernel's n_gsm module[1]?
Some of that chatter seems to be about one or two old vulnerabilities fixed upstream some months ago. But it currently looks like there is some other &…

My #SensorWatch module arrived so now I can potentially run one of my #Casio F-91Ws (or my F-84W) with #DecimalTime because I wasn't a giant enough 🤓 already

Cyclic wide subalgebras of semisimple Lie algebras
Andrew Douglas, Joe Repka
https://arxiv.org/abs/2404.07372 https://arxiv.org/pdf/2…

Cyclic wide subalgebras of semisimple Lie algebras
Let $\mathfrak{s}$ $\ltimes$ $\mathfrak{r}$ be a Levi decomposable Lie algebra, with Levi factor $\mathfrak{s}$, and radical $\mathfrak{r}$. A module $V$ of $\mathfrak{s}$ $\ltimes$ $\mathfrak{r}$ is cyclic indecomposable if it is indecomposable and the quotient module $V /\mathfrak{r}\cdot V$ is a simple $\mathfrak{s}$-module. A Levi decomposable subalgebra of a semisimple Lie algebra is cyclic wide if the restriction of every simple module of the semisimple Lie algebra to the subalgebra is cy…

From cssc-crossed modules to categorical groups
Tamar Datuashvili, Osman Mucuk, Nazmiye Alemdar, Tun\c{c}ar \c{S}ahan
https://arxiv.org/abs/2402.07286 http…

From cssc-crossed modules to categorical groups
For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper, where to any categorical group the cssc-crossed module is associated, this construction will enable us to prove an equivalence between the categories of categorical groups and of cssc-crossed modules in the sequel to this paper.

Miniaturized time-correlated single-photon counting module for time-of-flight non-line-of-sight imaging applications
Jie Wu, Chao Yu, Jian-Wei Zeng, Chen Dai, Feihu Xu, Jun Zhang
https://arxiv.org/abs/2404.07218

Miniaturized time-correlated single-photon counting module for time-of-flight non-line-of-sight imaging applications
Single-photon time-of-flight (TOF) non-line-of-sight (NLOS) imaging enables the high-resolution reconstruction of objects outside the field of view. The compactness of TOF NLOS imaging systems, entailing the miniaturization of key components within such systems is crucial for practical applications. Here, we present a miniaturized four-channel time-correlated single-photon counting module dedicated to TOF NLOS imaging applications. The module achieves excellent performance with a 10 ps bin size…

Quantum fundamental group of knot and its $SL_2$ representation
Jun Murakami, Roland van der Veen
https://arxiv.org/abs/2402.06891 https://

Quantum fundamental group of knot and its $SL_2$ representation
The theory of bottom tangles is used to construct a quantum fundamental group. On the other hand, the skein module is considered as a quantum analogue of the $SL(2)$ representation of the fundamental group. Here we construct the skein module of a knot complement by using the bottom tangles. We first construct the universal space of quantum representations, which is a quantum analogue of the fundamental group, and then factor it by the skein relation to get the skein module. We also investigate …

Vorsicht vor Solar-Betrug: In Deutschland häufen sich Fälle von Betrug rund um #Solaranlagen. Von gefälschten Zertifikaten über fragwürdige Verträge bis hin zu Pfusch am Bau – die Risiken sind vielfältig. #Verbraucher sollten besonders wachsam bei auffällig günstigen Angeboten sein und vor …

Vorsicht, PV-Abzocke: 5 Solar-Betrugsfälle, die Sie viel Geld kosten
Pfusch am Bau, defekte Module und Co.: Wir zeigen die häufigsten Photovoltaik-Betrugsmaschen und wie Sie sich schützen können

Series C, Episode 05 - The Harvest of Kairos
[Landing module, in flight]
TARRANT: Zen will have picked us up by now.
https://blake.torpidity.net/s/305/585 📺 B7B3

This https://arxiv.org/abs/2312.06124 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some results on the vanishing of Ext and finite Gorenstein dimension of the dual of a module
In this paper, we derive some results on the vanishing of $\operatorname{Ext}$, focusing on the condition of finiteness of the Gorenstein dimension of the dual of a module. Specifically, under this condition, we provide a generalization of a celebrated theorem by Evans and Griffith, characterize totally reflexive modules under certain contexts, and recover a result by Araya. Additionally, we prove that the Auslander-Reiten conjecture holds true for all finitely generated modules $M$ over a Noet…

Extending inner product for Hilbert C*-modules by ideals
V. Manuilov
https://arxiv.org/abs/2402.07288 https://arxiv.org/pdf/2402.0728…

Extending inner product for Hilbert C*-modules by ideals
We use essential ideals in a C*-algebra $A$ to extend the inner product on a Hilbert C*-module $M$ to a greater C*-submodule of the dual Banach module $M'$. This extension may go beyond the second dual module $M''$.

Linear independence for $C_\ell^{(1)}$ by using $C_{2\ell}^{(1)}$
Mirko Primc, Goran Trup\v{c}evi\'c
https://arxiv.org/abs/2403.06881 https://

Linear independence for $C_\ell^{(1)}$ by using $C_{2\ell}^{(1)}$
In this note we prove linear independence of the combinatorial spanning set for standard $C_\ell^{(1)}$-module $L(kΛ_0)$ by establishing a connection with the combinatorial basis of Feigin-Stoyanovsky's type subspace $W(kΛ_0)$ of $C_{2\ell}^{(1)}$-module $L(kΛ_0)$. It should be noted that the proof of linear independence for the basis of $W(kΛ_0)$ is obtained by using simple currents and intertwining operators in the vertex operator algebra $L(kΛ_0)$.

Wish I had learned about this sooner… https://www.eventbrite.com/e/build-your-first-python-package-tickets-879586546037

Just updated my 2014 post “W3C CSS Odor Module Released” to mention GameScent, which spews smells at your face while you game:
https://adrianroselli.com/2012/04/w3c-css-odor-module-released.html#Update07

W3C CSS Odor Module Released
The web was always a visual medium, but with the addition of sound and video it has locked up two human senses. With development of specifications and techniques around vibration, the internet you “feel” is getting closer, too. That leaves only a couple senses left to cover Ever since the…

Qiskit-Torch-Module: Fast Prototyping of Quantum Neural Networks
Nico Meyer, Christian Ufrecht, Maniraman Periyasamy, Axel Plinge, Christopher Mutschler, Daniel D. Scherer, Andreas Maier
https://arxiv.org/abs/2404.06314

Qiskit-Torch-Module: Fast Prototyping of Quantum Neural Networks
Quantum computer simulation software is an integral tool for the research efforts in the quantum computing community. An important aspect is the efficiency of respective frameworks, especially for training variational quantum algorithms. Focusing on the widely used Qiskit software environment, we develop the qiskit-torch-module. It improves runtime performance by two orders of magnitude over comparable libraries, while facilitating low-overhead integration with existing codebases. Moreover, the…

This https://arxiv.org/abs/2310.04349 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Toward a Plug-and-Play Vision-Based Grasping Module for Robotics
Despite recent advancements in AI for robotics, grasping remains a partially solved challenge, hindered by the lack of benchmarks and reproducibility constraints. This paper introduces a vision-based grasping framework that can easily be transferred across multiple manipulators. Leveraging Quality-Diversity (QD) algorithms, the framework generates diverse repertoires of open-loop grasping trajectories, enhancing adaptability while maintaining a diversity of grasps. This framework addresses two …

The intersection cohomology Hodge module of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
https://arxiv.org/abs/2404.04767 https://a…

The intersection cohomology Hodge module of toric varieties
We study the Hodge filtration of the intersection cohomology Hodge module for toric varieties. More precisely, we study the cohomology sheaves of the graded de Rham complex of the intersection cohomology Hodge module and give a precise formula relating it with the stalks of the intersection cohomology as a constructible complex. The main idea is to use the Ishida complex in order to compute the higher direct images of the sheaf of reflexive differentials.

Vorsicht vor Solar-Betrug: In Deutschland häufen sich Fälle von Betrug rund um #Solaranlagen. Von gefälschten Zertifikaten über fragwürdige Verträge bis hin zu Pfusch am Bau – die Risiken sind vielfältig. #Verbraucher sollten besonders wachsam bei auffällig günstigen Angeboten sein und vor …

Vorsicht, PV-Abzocke: 5 Solar-Betrugsfälle, die Sie viel Geld kosten
Pfusch am Bau, defekte Module und Co.: Wir zeigen die häufigsten Photovoltaik-Betrugsmaschen und wie Sie sich schützen können

Hey folks, I just released Auto Encrypt Localhost* v8.4.0 with better async support and updated dependencies.
https://www.npmjs.com/package/@small-tech/auto-encrypt-localhost
* My pure JavaScript module (no mkcert, certutil, etc., required) that a…

@small-tech/auto-encrypt-localhost
Automatically provisions and installs locally-trusted TLS certificates for Node.js https servers in 100% JavaScript.. Latest version: 8.4.0, last published: 12 minutes ago. Start using @small-tech/auto-encrypt-localhost in your project by running `npm i @small-tech/auto-encrypt-localhost`. There are 2 other projects in the npm registry using @small-tech/auto-encrypt-localhost.

Module Categories As Spans
Hao Xu
https://arxiv.org/abs/2404.06408 https://arxiv.org/pdf/2404.06408

Module Categories As Spans
We realize module functors and module natural transforms as spans of monoidal categories. We also discuss the generalizations to algebras and modules within an arbitrary monoidal 2-category, including $\mathbf{2Vect}$, $\mathbf{2Rep}(G)$, $\mathbf{2Vect}^π_G$, $\mathbf{Mod}(\mathcal{B})$, $\mathbf{MCat}$ and $\mathbf{BrCat}$.

Series C, Episode 05 - The Harvest of Kairos
[Landing module, in flight]
TARRANT: Zen will have picked us up by now.
https://blake.torpidity.net/s/305/585 📺 B7B3

Welcome to the most unnecessarily complicated netcat album release format yet.
In this repository, you will be able to compile your own kernel module, create a /dev/netcat device and redirect its output into an audio player (tested with mplayer and play from SoX as well).
https://github.com/usrbinnc/n…

GitHub - usrbinnc/netcat-cpi-kernel-module: Kernel module edition of the Cycles Per Instruction (2014) album.
Kernel module edition of the Cycles Per Instruction (2014) album. - usrbinnc/netcat-cpi-kernel-module

Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of ${\rm{Out}}(F_N)$
Richard D. Wade, Thomas A. Wasserman
https://arxiv.org/abs/2405.05881

Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of ${\rm{Out}}(F_N)$
We explain how Cohen--Macaulay classifying spaces are ubiquitous among discrete groups that satisfy Bieri--Eckmann duality, and compare Bieri--Eckmann duality to duality results for Cohen--Macaulay complexes. We use this comparison to give a description of the dualizing module of ${\rm{Out}}(F_N)$ in terms of the local cohomology cosheaf of the spine of Outer space.

Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient
H Laxmi, Anupam Saikia
https://arxiv.org/abs/2404.05190

Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient
We consider an infinite family of real quadratic fields $k$ where the discriminant has three distinct odd prime factors, and the prime 2 splits. We show that the unramified Iwasawa module $X(k_{\infty})$ associated with the $\mathbb{Z}_2$-extension of $k$ has a bounded quotient. Thus, we also verify Greenberg's conjecture on the vanishing of Iwasawa invariants for such fields and obtain a finer structure for $X(k_{\infty})$.

So Casio fans, there is often talk about how module 593's major failing is its backlight. And yes, it is pretty weak and uneven. I too have thrown shade at it and yet, if I am totally honest I don't recall ever having struggled to read it in real life.
While in photos it often comes out looking totally unreadable, I find that with the naked eye (in the dark at night), I have always read the entire display just fine.
Is this just me?

This https://arxiv.org/abs/2210.00954 has been replaced.
link: https://scholar.google.com/scholar?q=a

Machine Learning-Powered Course Allocation
We study the course allocation problem, where universities assign course schedules to students. The current state-of-the-art mechanism, Course Match, has one major shortcoming: students make significant mistakes when reporting their preferences, which negatively affects welfare and fairness. To address this issue, we introduce a new mechanism, Machine Learning-powered Course Match (MLCM). At the core of MLCM is a machine learning-powered preference elicitation module that iteratively asks perso…

From @… on #LKML:
Hardcoded security module suggestion - stop the stacking insanity

Listening to the #DNSSEC and Security Workshop at #ICANN79 - Kim Davies is currently giving an update about plans to rollover the #KSK (Key Signing Key) for DNSSEC.
Interesting to read about the dilem…

Hardware security module - Wikipedia

This https://arxiv.org/abs/2309.00529 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Shelukhin's Hofer distance and a symplectic cohomology barcode for contactomorphisms
This paper constructs a persistence module of Floer cohomology groups associated to a contactomorphism of the ideal boundary of a Liouville manifold. The barcode (or, bottleneck) distance between the persistence modules is bounded from above by Shelukhin's Hofer distance. Moreover, the barcode is supported (i.e., has spectrum) on the lengths of translated points of the contactomorphism. We use this structure to prove various existence results for translated points and to construct spectral inva…

Flipper Zero Video Game Module Hands-on: Less Hackers’ Paradise, More Cool Tool
https://gizmodo.com/flipper-zero-videogame-module-1851300303

A note on the Segal conjecture for large objects
Robert Burklund, Vignesh Subramanian
https://arxiv.org/abs/2403.06724 https://arxiv.…

A note on the Segal conjecture for large objects
The Segal conjecture for $C_p$ (as proved by Lin and Gunawardena) asserts that the canonical map from the $p$-complete sphere spectrum to the Tate construction for the trivial action of $C_p$ on the $p$-complete sphere spectrum is an isomorphism. In this article we extend the collection of spectra for which the canonical map $X \to X^{tC_p}$ is known to be an isomorphism to include any $p$-complete, bounded below spectrum whose mod $p$ homology, viewed a module over the Steenrod algebra, is com…

Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps
Hossein Faridian
https://arxiv.org/abs/2402.06834 https://…

Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps
We prove that if $f:R \rightarrow S$ is a local homomorphism of noetherian local rings of finite flat dimension and $M$ is a non-zero finitely generated $S$-module whose Gorenstein flat dimension over $R$ is bounded by the difference of the embedding dimensions of $R$ and $S$, then $M$ is a totally reflexive $S$-module and $f$ is an exceptional complete intersection map. This is an extension of a result of Brochard, Iyengar, and Khare to Gorenstein flat dimension. We also prove two analogues in…

Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications
Akshay S. Rane, Mandar Thatte
https://arxiv.org/abs/2402.06631 https://

Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications
In this paper, we shall consider the notion of hyperbolic semi norm which on a module $X$ to set of all positive hyperbolic numbers. We shall prove the characterization of continuity of hyperbolic semi norm in this setup. We shall prove Zabreiko's lemma when $X$ is a F, $\mathbb{BC}$ module, where $\mathbb{BC}$ denotes the set of Bi complex numbers.(analogous to completeness). This lemma shall be used to prove the fundamental theorems of functional analysis like the Closed Graph Theorem, Open m…

PM4Py.LLM: a Comprehensive Module for Implementing PM on LLMs
Alessandro Berti
https://arxiv.org/abs/2404.06035 https://arxiv.org/pdf…

PM4Py.LLM: a Comprehensive Module for Implementing PM on LLMs
pm4py is a process mining library for Python implementing several process mining (PM) artifacts and algorithms. It also offers methods to integrate PM with large language models (LLMs). This paper examines how the current paradigms of PM on LLM are implemented in pm4py, identifying challenges such as privacy, hallucinations, and the context window limit.

Lateral Control of Brain-Controlled Vehicle Based on SVM Probability Output Model
Hongguang Pan, Xinyu Yu, Yong Yang
https://arxiv.org/abs/2403.05762 https…

Lateral Control of Brain-Controlled Vehicle Based on SVM Probability Output Model
The non-stationary characteristics of EEG signal and the individual differences of brain-computer interfaces (BCIs) lead to poor performance in the control process of the brain-controlled vehicles (BCVs). In this paper, by combining steady-state visual evoked potential (SSVEP) interactive interface, brain instructions generation module and vehicle lateral control module, a probabilistic output model based on support vector machine (SVM) is proposed for BCV lateral control to improve the driving…

So Casio fans, there is often talk about how module 593's major failing is its backlight. And yes, it is pretty weak and uneven. I too have thrown shade at it and yet, if I am totally honest I don't recall ever having struggled to read it in real life.
While in photos it often comes out looking totally unreadable, I find that with the naked eye (in the dark at night), I have always read the entire display just fine.
Is this just me?

This https://arxiv.org/abs/2402.14466 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Magnitude homology is a derived functor
We prove that the magnitude (co)homology of an enriched category can, under some technical assumptions, be described in terms of derived functors between certain abelian categories. We show how this statement is specified for the cases of quasimetric spaces, finite quasimetric spaces, and finite digraphs. For quasimetric spaces, we define the notion of a magnitude module over a quasimetric space, define the functor of (co)invariants of a magnitude module and show that the magnitude (co)homology…

Deep Learning for CSI Feedback: One-Sided Model and Joint Multi-Module Learning Perspectives
Yiran Guo, Wei Chen, Feifei Sun, Jiaming Cheng, Michail Matthaiou, Bo Ai
https://arxiv.org/abs/2405.05522

Deep Learning for CSI Feedback: One-Sided Model and Joint Multi-Module Learning Perspectives
The use of deep learning (DL) for channel state information (CSI) feedback has garnered widespread attention across academia and industry. The mainstream DL architectures, e.g., CsiNet, deploy DL models on the base station (BS) side and the user equipment (UE) side, which are highly coupled and need to be trained jointly. However, two-sided DL models require collaborations between different network vendors and UE vendors, which entails considerable challenges in order to achieve consensus, e.g.…

Qiskit-Torch-Module: Fast Prototyping of Quantum Neural Networks
Nico Meyer, Christian Ufrecht, Maniraman Periyasamy, Axel Plinge, Christopher Mutschler, Daniel D. Scherer, Andreas Maier
https://arxiv.org/abs/2404.06314

Qiskit-Torch-Module: Fast Prototyping of Quantum Neural Networks
Quantum computer simulation software is an integral tool for the research efforts in the quantum computing community. An important aspect is the efficiency of respective frameworks, especially for training variational quantum algorithms. Focusing on the widely used Qiskit software environment, we develop the qiskit-torch-module. It improves runtime performance by two orders of magnitude over comparable libraries, while facilitating low-overhead integration with existing codebases. Moreover, the…

This https://arxiv.org/abs/2311.11631 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Characterization and performance of an upgraded front-end-board for NectarCAM
This paper presents an analysis of the updated version of the Front-End Board (FEB) for the NectarCAM camera, developed for the Cherenkov Telescope Array Observatory (CTAO). The FEB is a critical component responsible for reading and converting signals from the camera's photo-multiplier tubes into digital data and generating module-level trigger signals. This study provides an overview of the design and performance of the new FEB version, including the use of an improved NECTAr3 chip with advan…

Flipper Devices, which makes the Flipper Zero multi-tool device, announces a new $49 Video Game Module, powered by a Raspberry Pi RP2040 microcontroller (Lucas Ropek/Gizmodo)
https://gizmodo.com/flipper-zero-game-module-controller-raspberry-pi-18512…

Turn Your Flipper Zero Into a Controller with New Video Game Module
The creators behind the popular Flipper device have teamed up with Raspberry Pi to expand its capabilities.

Optimizing E-commerce Search: Toward a Generalizable and Rank-Consistent Pre-Ranking Model
Enqiang Xu, Yiming Qiu, Junyang Bai, Ping Zhang, Dadong Miao, Songlin Wang, Guoyu Tang, Lin Liu, Mingming Li
https://arxiv.org/abs/2405.05606

Optimizing E-commerce Search: Toward a Generalizable and Rank-Consistent Pre-Ranking Model
In large e-commerce platforms, search systems are typically composed of a series of modules, including recall, pre-ranking, and ranking phases. The pre-ranking phase, serving as a lightweight module, is crucial for filtering out the bulk of products in advance for the downstream ranking module. Industrial efforts on optimizing the pre-ranking model have predominantly focused on enhancing ranking consistency, model structure, and generalization towards long-tail items. Beyond these optimizations…

Hey folks, I just released Auto Encrypt Localhost* v8.4.0 with better async support and updated dependencies.
https://www.npmjs.com/package/@small-tech/auto-encrypt-localhost
* My pure JavaScript module (no mkcert, certutil, etc., required) that a…

@small-tech/auto-encrypt-localhost
Automatically provisions and installs locally-trusted TLS certificates for Node.js https servers in 100% JavaScript.. Latest version: 8.4.0, last published: 12 minutes ago. Start using @small-tech/auto-encrypt-localhost in your project by running `npm i @small-tech/auto-encrypt-localhost`. There are 2 other projects in the npm registry using @small-tech/auto-encrypt-localhost.

Multichannel Long-Term Streaming Neural Speech Enhancement for Static and Moving Speakers
Changsheng Quan, Xiaofei Li
https://arxiv.org/abs/2403.07675 http…

Multichannel Long-Term Streaming Neural Speech Enhancement for Static and Moving Speakers
In this work, we extend our previously proposed offline SpatialNet for long-term streaming multichannel speech enhancement in both static and moving speaker scenarios. SpatialNet exploits spatial information, such as the spatial/steering direction of speech, for discriminating between target speech and interferences, and achieved outstanding performance. The core of SpatialNet is a narrow-band self-attention module used for learning the temporal dynamic of spatial vectors. Towards long-term str…

NVIDIA legacy drivers 390.⋯ and 470.⋯ with kernel module nvidia-modeset
<https://forums.freebsd.org/threads/nvidia-legacy-drivers-390-and-470-with-kernel-module-nvidia-modeset.92568/>
Poll:

An Advanced Features Extraction Module for Remote Sensing Image Super-Resolution
Naveed Sultan, Amir Hajian, Supavadee Aramvith
https://arxiv.org/abs/2405.04595

An Advanced Features Extraction Module for Remote Sensing Image Super-Resolution
In recent years, convolutional neural networks (CNNs) have achieved remarkable advancement in the field of remote sensing image super-resolution due to the complexity and variability of textures and structures in remote sensing images (RSIs), which often repeat in the same images but differ across others. Current deep learning-based super-resolution models focus less on high-frequency features, which leads to suboptimal performance in capturing contours, textures, and spatial information. State…

@… the RFP for a consultant to help Burlington make a Downtown Parking Plan is posted. Would you please (get paid to) tell the city to stop allocating so much space for private automobile storage?
https://burlington.bidsandtenders.ca/Module/Tenders/en/Tender/Detail/7c9b0740-8bc8-49f0-941d-a8c2d83097f7

On the Kauffman bracket skein module of $(S^1 \times S^2) \ \# \ (S^1 \times S^2)$
Rhea Palak Bakshi, Seongjeong Kim, Xiao Wang
https://arxiv.org/abs/2405.04337

On the Kauffman bracket skein module of $(S^1 \times S^2) \ \# \ (S^1 \times S^2)$
Determining the structure of the Kauffman bracket skein module of all $3$-manifolds over the ring of Laurent polynomials $\mathbb Z[A^{\pm 1}]$ is a big open problem in skein theory. Very little is known about the skein module of non-prime manifolds over this ring. In this paper, we compute the Kauffman bracket skein module of the $3$-manifold $(S^1 \times S^2) \ \# \ (S^1 \times S^2)$ over the ring $\mathbb Z[A^{\pm 1}]$. We do this by analysing the submodule of handle sliding relations, for w…

An example of the Jantzen filtration of a D-module
Simon Bohun, Anna Romanov
https://arxiv.org/abs/2405.06158 https://arxiv.org/pdf/2…

This https://arxiv.org/abs/2404.05608 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Thermal Structure Determines Kinematics: Vertical Shear Instability in Stellar Irradiated Protoplanetary Disks
Turbulence is crucial for protoplanetary disk dynamics, and Vertical Shear Instability (VSI) is a promising mechanism in outer disk regions to generate turbulence. We use Athena++ radiation module to study VSI in full and transition disks, accounting for radiation transport and stellar irradiation. We find that the thermal structure and cooling timescale significantly influence VSI behavior. The inner rim location and radial optical depth affect disk kinematics. Compared with previous verticall…

Modules (co)reduced relative to another module
Tilahun Abebaw, Amanuel Mamo, David Ssevviiri, Zelalem Teshome
https://arxiv.org/abs/2404.06874 https://

Modules (co)reduced relative to another module
Let $R$ be a commutative unital ring, $\mathfrak{ a}$ an ideal of $R$ and $M$ a fixed $R$-module. We introduce and study generalisations of $\mathfrak{a}$-reduced modules, $\mathfrak{R}_{\mathfrak{ a}}$ and $\mathfrak{a}$-coreduced modules, $\mathfrak{C}_{\mathfrak{ a}}$ studied in the literature. They are called modules $\mathfrak{ a}$-reduced with respect to $M$, $\mathfrak{R}^{M}_{\mathfrak{ a}}$ and modules $\mathfrak{ a}$-coreduced with respect to $M$, $\mathfrak{C}^{M}_{\mathfrak{ a}}$. T…

Der schnellste Arbeitsspeicher muss jetzt nicht mehr verlötet sein
Lenovos Thinkpad P1 Gen 7 hat schnellen LPDDR5X-Speicher, der sich erstmals austauschen lässt. Dafür kommen neue Module zum Einsatz.

My dream laptop:
* Form factor of a late 90s / early 2000s (1.5-2" thick, 15" screen size or so) laptop. None of this thin-and-light nonsense.
* Sunlight readable display capable of being used in reflective (backlight off) mode for reduced power
* Optional cellular modem module
* Two (or more) externally accessible, hot-swappable 100Wh batteries with power ORing. If you're going on a plane you can take some of the batteries out to make the FAA happy. But if …

MambaLithium: Selective state space model for remaining-useful-life, state-of-health, and state-of-charge estimation of lithium-ion batteries
Zhuangwei Shi
https://arxiv.org/abs/2403.05430

MambaLithium: Selective state space model for remaining-useful-life, state-of-health, and state-of-charge estimation of lithium-ion batteries
Recently, lithium-ion batteries occupy a pivotal position in the realm of electric vehicles and the burgeoning new energy industry. Their performance is heavily dependent on three core states: remaining-useful-life (RUL), state-of-health (SOH), and state-of-charge (SOC). Given the remarkable success of Mamba (Structured state space sequence models with selection mechanism and scan module, S6) in sequence modeling tasks, this paper introduces MambaLithium, a selective state space model tailored …

🧅 HTR-PM heating project commissioned
#china

Selective Floer cohomology for contact vector fields
Dylan Cant, Igor Uljarevi\'c
https://arxiv.org/abs/2405.05443 https://arxiv.…

Selective Floer cohomology for contact vector fields
This paper associates a persistence module to a contact vector field $X$ on the ideal boundary of a Liouville manifold. The persistence module measures the dynamics of $X$ on the region $Ω$ where $X$ is positively transverse to the contact distribution. The colimit of the persistence module depends only on the domain $Ω$ and is a variant of the selective symplectic homology introduced by the second named author. As an application we prove existence of positive orbits for certain classes of co…

This https://arxiv.org/abs/2312.16619 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Evaluating the security of CRYSTALS-Dilithium in the quantum random oracle model
In the wake of recent progress on quantum computing hardware, the National Institute of Standards and Technology (NIST) is standardizing cryptographic protocols that are resistant to attacks by quantum adversaries. The primary digital signature scheme that NIST has chosen is CRYSTALS-Dilithium. The hardness of this scheme is based on the hardness of three computational problems: Module Learning with Errors (MLWE), Module Short Integer Solution (MSIS), and SelfTargetMSIS. MLWE and MSIS have been…

My experience with Signal was that when I migrated from one country to another and got a new phone number then I lost access to everything.
That was traumatic enough for me to never go back.
#Signal
From: @…

Lateral Control of Brain-Controlled Vehicle Based on SVM Probability Output Model
Hongguang Pan, Xinyu Yu, Yong Yang
https://arxiv.org/abs/2403.05762 https…

Lateral Control of Brain-Controlled Vehicle Based on SVM Probability Output Model
The non-stationary characteristics of EEG signal and the individual differences of brain-computer interfaces (BCIs) lead to poor performance in the control process of the brain-controlled vehicles (BCVs). In this paper, by combining steady-state visual evoked potential (SSVEP) interactive interface, brain instructions generation module and vehicle lateral control module, a probabilistic output model based on support vector machine (SVM) is proposed for BCV lateral control to improve the driving…

This https://arxiv.org/abs/2402.14466 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Magnitude homology is a derived functor
We prove that the magnitude (co)homology of an enriched category can, under some technical assumptions, be described in terms of derived functors between certain abelian categories. We show how this statement is specified for the cases of quasimetric spaces, finite quasimetric spaces, and finite digraphs. For quasimetric spaces, we define the notion of a magnitude module over a quasimetric space, define the functor of (co)invariants of a magnitude module and show that the magnitude (co)homology…

I got a couple books and a single-player game today (putting off finishing my CSUNATC slides).
Actually, this particular haul is three single-player games.

Bringing the band back together (the band = 486 PC, Roland MIDI module, MIDI router, sound mixer, SLA 1 amp, Klipsch monitors)
https://youtu.be/myrX_6oPHzk?si=WRD_paPM_-yk6_Zo

This https://arxiv.org/abs/2405.04312 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

Inf-DiT: Upsampling Any-Resolution Image with Memory-Efficient Diffusion Transformer
Diffusion models have shown remarkable performance in image generation in recent years. However, due to a quadratic increase in memory during generating ultra-high-resolution images (e.g. 4096*4096), the resolution of generated images is often limited to 1024*1024. In this work. we propose a unidirectional block attention mechanism that can adaptively adjust the memory overhead during the inference process and handle global dependencies. Building on this module, we adopt the DiT structure for u…

This https://arxiv.org/abs/2312.03097 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

State of Health Estimation for Battery Modules with Parallel-Connected Cells Under Cell-to-Cell Variations
State of health (SOH) estimation for lithium-ion battery modules with cells connected in parallel is a challenging problem, especially with cell-to-cell variations. Incremental capacity analysis (ICA) and differential voltage analysis (DVA) are effective at the cell level, but a generalizable method to extend them to module-level SOH estimation remains missing, when only module-level measurements are available. This paper proposes a new method and demonstrates that, with multiple features syste…

QFMTS: Generating Query-Focused Summaries over Multi-Table Inputs
Weijia Zhang, Vaishali Pal, Jia-Hong Huang, Evangelos Kanoulas, Maarten de Rijke
https://arxiv.org/abs/2405.05109

QFMTS: Generating Query-Focused Summaries over Multi-Table Inputs
Table summarization is a crucial task aimed at condensing information from tabular data into concise and comprehensible textual summaries. However, existing approaches often fall short of adequately meeting users' information and quality requirements and tend to overlook the complexities of real-world queries. In this paper, we propose a novel method to address these limitations by introducing query-focused multi-table summarization. Our approach, which comprises a table serialization module, a…

Equivalence of multiset-based consequence relations
Ali Madanshekaf, Adam P\v{r}enosil, Zeinab Khanjanzadeh Seresti, Constantine Tsinakis
https://arxiv.org/abs/2404.04347

Equivalence of multiset-based consequence relations
The pioneering work of Blok and Jónsson and its further development by Galatos and Tsinakis initiated an abstract study of consequence relations using the tools of module theory, where consequence relations over all types of syntactic objects are put on an equal footing. However, the assumption that in a consequence relation the premises form merely a set, as opposed to a more complicated structure, is still retained. An attempt to extend this framework to account for inferentially substructur…

Number Theory in OSCAR
Claus Fieker, Tommy Hofmann
https://arxiv.org/abs/2404.06858 https://arxiv.org/pdf/2404.06858

Number Theory in OSCAR
We give a brief introduction to computational algebraic number theory in OSCAR. Our main focus is on number fields, rings of integers and their invariants. After recalling some classical results and their constructive counterparts, we showcase the functionality in two examples related to the investigation of the Cohen-Lenstra heuristic for quadratic fields and the Galois module structure of rings of integers.

This https://arxiv.org/abs/2307.06559 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Relative Koszul coresolutions and relative Betti numbers
Let $G$ be a generator and a cogenerator in the category of finitely generated right $A$-modules for a finite-dimensional algebra $A$ over a filed $\Bbbk$, and $\mathcal{I}$ the additive closure of $G$. We will define a $\mathcal{I}$-relative Koszul coresolution $\mathcal{K}^{\bullet}(V)$ of an indecomposable direct summand $V$ of $G$, and show that for a finitely generated $A$-module $M$, the $\mathcal{I}$-relative $i$-th Betti number for $M$ at $V$ is given as the $\Bbbk$-dimension of the $i$…

Spending $190🇺🇸 (174€ / £148🇬🇧 / ¤1980🇳🇴) on a fully modded #Casio 1275 module† probably sounds a little excessive but it is actually hard to find a retro styled, steel cased, LCD digital watch with sapphire crystal, so that is exactly what I have ordered yesterday.
† The 1275 module is the one in the F-105W and A-168W series watches (both ⋅$30🇺🇸). Functionality wise it is just like tha…

I got a couple books and a single-player game today (putting off finishing my CSUNATC slides).
Actually, this particular haul is three single-player games.

Liftings of point-wise finite dimensional persistence modules over local commutative Artinian rings
Jos\'e A. V\'elez-Marulanda
https://arxiv.org/abs/2403.05032

Liftings of point-wise finite dimensional persistence modules over local commutative Artinian rings
Let $\mathbf{k}$ be a field and let $V: \mathscr{C} \to \mathbf{k}\textup{-Mod}$ be a point-wise finite dimensional persistence modules, where $\mathscr{C}$ is a small category. Assume that for all local Artinian $\mathbf{k}$-algebras $R$ with residue field isomorphic to $\mathbf{k}$, there is a generalized persistence module $M: \mathscr{C} \to R\textup{-Mod}$, such that for all $x\in \mathrm{Ob}(\mathscr{C})$, $M(x)$ is free over $R$ with finite rank and $\mathbf{k}\otimes_R M(x)\cong V(x)$. …

Der schnellste Arbeitsspeicher muss jetzt nicht mehr verlötet sein
Lenovos Thinkpad P1 Gen 7 hat schnellen LPDDR5X-Speicher, der sich erstmals austauschen lässt. Dafür kommen neue Module zum Einsatz.

When every S-flat module is (flat) projective
Driss Bennis, Ayoub Bouziri
https://arxiv.org/abs/2403.04676 https://arxiv.org/pdf/2403…

When every S-flat module is (flat) projective
Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this paper is to study the class of commutative rings in which every S-flat module is flat (resp., projective). An R-module M is said to be S-flat if the localization of M at S, M_S, is a flat R_S-module. Commutative rings R for which all S-flat R-modules are flat are characterized by the fact that R/Rs is a von Neumann regular ring for every s in S. While, commutative rings R for which all S-flat R-modules…

Most recent breakage from upgrading to Debian bookworm: PulseAudio RTP streaming fails in a strange manner.
After an annoyingly long-but-not-too-long time (i.e. too long to make troubleshooting easy but frequent enough to drive me up the wall) module-rtp-recv stops playing the incoming stream and seems to not even show up in the volume control.
The only fix I've found so far is to unload the offending module then reload it.

Spending $190🇺🇸 (174€ / £148🇬🇧 / ¤1980🇳🇴) on a fully modded #Casio 1275 module† probably sounds a little excessive but it is actually hard to find a retro styled, steel cased, LCD digital watch with sapphire crystal, so that is exactly what I have ordered yesterday.
† The 1275 module is the one in the F-105W and A-168W series watches (both ⋅$30🇺🇸). Functionality wise it is just like tha…

BGG Resolutions, Koszulity, and Stratifications, Part I: the nilBrauer Algebra
Fan Zhou
https://arxiv.org/abs/2402.06890 https://arxi…

BGG Resolutions, Koszulity, and Stratifications, Part I: the nilBrauer Algebra
In this paper we homologically construct a (functorial) BGG resolution of the finite-dimensional simple module of the nilBrauer algebra by using infinity-categorical methods following the reconstruction-from-stratification philosophy, e.g. appearing in Ayala-Mazel-Gee-Rozenblyum. To do so, we prove a fact of independent interest, that half of the nilBrauer algebra is Koszul. This BGG resolution categorifies a character formula of Brundan-Wang-Webster. More generally, we have a (functorial) ``BG…

This https://arxiv.org/abs/2404.14322 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

A Novel Approach to Chest X-ray Lung Segmentation Using U-net and Modified Convolutional Block Attention Module
Lung segmentation in chest X-ray images is of paramount importance as it plays a crucial role in the diagnosis and treatment of various lung diseases. This paper presents a novel approach for lung segmentation in chest X-ray images by integrating U-net with attention mechanisms. The proposed method enhances the U-net architecture by incorporating a Convolutional Block Attention Module (CBAM), which unifies three distinct attention mechanisms: channel attention, spatial attention, and pixel atte…

Restricting operators to thick Hilbert C*-submodules
V. Manuilov
https://arxiv.org/abs/2404.04185 https://arxiv.org/pdf/2404.04185

Restricting operators to thick Hilbert C*-submodules
Given an essential ideal $J\subset A$ of a C*-algebra $A$, and a Hilbert C*-module $M$ over $A$, we place $M$ between two other Hilbert C*-modules over $A$, $M_J\subset M\subset M^J$, in such a way that each submodule here is thick, i.e. its orthogonal conmplement in the greater module is trivial. We introduce the class $\mathbb B_J(M)$ of $J$-adjointable operators on a Hilbert C*-module $M$ over $A$, and prove that this class isometrically embeds into the C*-algebras of all adjointable operato…

Bringing the band back together (the band = 486 PC, Roland MIDI module, MIDI router, sound mixer, SLA 1 amp, Klipsch monitors)
https://youtu.be/myrX_6oPHzk?si=WRD_paPM_-yk6_Zo

Splat-Nav: Safe Real-Time Robot Navigation in Gaussian Splatting Maps
Timothy Chen, Ola Shorinwa, Weijia Zeng, Joseph Bruno, Philip Dames, Mac Schwager
https://arxiv.org/abs/2403.02751

Splat-Nav: Safe Real-Time Robot Navigation in Gaussian Splatting Maps
We present Splat-Nav, a navigation pipeline that consists of a real-time safe planning module and a robust state estimation module designed to operate in the Gaussian Splatting (GSplat) environment representation, a popular emerging 3D scene representation from computer vision. We formulate rigorous collision constraints that can be computed quickly to build a guaranteed-safe polytope corridor through the map. We then optimize a B-spline trajectory through this corridor. We also develop a real-…

This https://arxiv.org/abs/2307.11367 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A note on the Baer splitting problem over commutative rings
In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring $R$ is $τ_q$-semisimple, then every Baer $R$-module is projective.

This https://arxiv.org/abs/2308.11380 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSD_…

Convoifilter: A case study of doing cocktail party speech recognition
This paper presents an end-to-end model designed to improve automatic speech recognition (ASR) for a particular speaker in a crowded, noisy environment. The model utilizes a single-channel speech enhancement module that isolates the speaker's voice from background noise (ConVoiFilter) and an ASR module. The model can decrease ASR's word error rate (WER) from 80% to 26.4% through this approach. Typically, these two components are adjusted independently due to variations in data requirements. How…

QFMTS: Generating Query-Focused Summaries over Multi-Table Inputs
Weijia Zhang, Vaishali Pal, Jia-Hong Huang, Evangelos Kanoulas, Maarten de Rijke
https://arxiv.org/abs/2405.05109

QFMTS: Generating Query-Focused Summaries over Multi-Table Inputs
Table summarization is a crucial task aimed at condensing information from tabular data into concise and comprehensible textual summaries. However, existing approaches often fall short of adequately meeting users' information and quality requirements and tend to overlook the complexities of real-world queries. In this paper, we propose a novel method to address these limitations by introducing query-focused multi-table summarization. Our approach, which comprises a table serialization module, a…

This https://arxiv.org/abs/2212.12451 has been replaced.
link: https://scholar.google.com/scholar?q=a

Two families of Dirac-like operators for Drinfeld's Hecke algebra
In this paper, we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality. The second generalisation, warped Dirac operators are such that every unitary module must have a non-zero warped Dirac cohomology. An open question is whether non-zero warped Dirac cohomology can determine the infinitesimal character akin to the fact that non-zero Dirac cohomology does. For a type $A$ Hecke algebra …

Bass numbers and endomorphism rings of Gorenstein injective modules
Reza Sazeedeh
https://arxiv.org/abs/2403.05207 https://arxiv.org/…

Bass numbers and endomorphism rings of Gorenstein injective modules
Let $R$ be a commutative noetherian ring admitting a dualizing complex and let $\mathfrak p$ be a prime ideal of $R$. In this paper we investigate when $G(R/\frak p)$ is an $R_{\frak p}$-module. We give some necessary and sufficient conditions under which $G(R/\frak p)$ is an $R_{\frak p}$-module. We also study the Bass numbers of $G(R/\frak p)$ and we show that if ${\rm Gid}_RR/\frak p$ is finite, then $μ^i(\frak q,G(R/\frak p))$ is finite for all $i\geq 0$ and all $\frak q\in{\rm Spec} R$. I…

The Kauffman Bracket Skein Module at an irreducible representation
Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska
https://arxiv.org/abs/2402.17037

The Kauffman Bracket Skein Module at an irreducible representation
In this paper, we study the Kauffman bracket skein module of closed oriented three-manifolds at a non-multiple-of-four roots of unity. Our main result establishes that the localization of this module at a maximal ideal, which corresponds to an irreducible representation of the fundamental group of the manifold, forms a one-dimensional free module over the localized unreduced coordinate ring of the character variety. We apply this by proving that the dimension of the skein module of a homology s…

A monoidal category viewpoint for translation functors for finite $W$-algebras
Elisabetta Masut
https://arxiv.org/abs/2404.07859 https://

A monoidal category viewpoint for translation functors for finite $W$-algebras
We re-interpret Goodwin's translation functors for a finite $W$-algebra $H_\ell$ as an action of a monoidal subcategory of $U(\mathfrak{g})$-mod on the category of finitely generated $H_\ell$-modules. This action is obtained by transporting the tensor product of $U(\mathfrak{g})$-modules through Skryabin's equivalence. We apply this interpretation to show that the Skryabin equivalence by stages introduced by Genra and Juillard is an equivalence of $U(\mathfrak{g})$-module categories.

The Iwasawa $\mu$-invariant of certain elliptic curves of analytic rank zero
Adithya Chakravarthy
https://arxiv.org/abs/2405.05871 https://

The Iwasawa $μ$-invariant of certain elliptic curves of analytic rank zero
This paper is about the Iwasawa theory of elliptic curves over the cyclotomic $\mathbb{Z}_p$-extension $\mathbb{Q}^{\text{cyc}}$ of $\mathbb{Q}$. We discuss a deep conjecture of Greenberg that if $E/\mathbb{Q}$ is an elliptic curve with good ordinary reduction at $p$, and $E[p]$ is irreducible as a Galois module, then the Selmer group of $E$ over $\mathbb{Q}^{\text{cyc}}$ has $μ$-invariant zero. We prove new cases of Greenberg's conjecture for some elliptic curves of analytic rank $0$. The pro…

This https://arxiv.org/abs/2205.13395 has been replaced.
link: https://scholar.google.com/scholar?q=a

A geometric representative for the fundamental class in KK-duality of Smale spaces
A fundamental ingredient in the noncommutative geometry program is the notion of KK-duality, often called K-theoretic Poincaré duality, that generalises Spanier-Whitehead duality. In this paper we construct a $θ$-summable Fredholm module that represents the fundamental class in KK-duality between the stable and unstable Ruelle algebras of a Smale space. To find such a representative, we construct dynamical partitions of unity on the Smale space with highly controlled Lipschitz constants. This…

This https://arxiv.org/abs/2209.04828 has been replaced.
link: https://scholar.google.com/scholar?q=a

Local log-regular rings vs toric rings
Local log-regular rings are a certain class of Cohen-Macaulay local rings that are treated in logarithmic geometry. Our paper aims to provide purely commutative ring theoretic proof of some ring-theoretic properties of local log-regular rings such as an explicit description of a canonical module, and the finite generation of the divisor class group.

Characterized Diffusion and Spatial-Temporal Interaction Network for Trajectory Prediction in Autonomous Driving
Haicheng Liao, Xuelin Li, Yongkang Li, Hanlin Kong, Chengyue Wang, Bonan Wang, Yanchen Guan, KaHou Tam, Zhenning Li, Chengzhong Xu
https://arxiv.org/abs/2405.02145

Characterized Diffusion and Spatial-Temporal Interaction Network for Trajectory Prediction in Autonomous Driving
Trajectory prediction is a cornerstone in autonomous driving (AD), playing a critical role in enabling vehicles to navigate safely and efficiently in dynamic environments. To address this task, this paper presents a novel trajectory prediction model tailored for accuracy in the face of heterogeneous and uncertain traffic scenarios. At the heart of this model lies the Characterized Diffusion Module, an innovative module designed to simulate traffic scenarios with inherent uncertainty. This modul…

Towards Extreme Image Compression with Latent Feature Guidance and Diffusion Prior
Zhiyuan Li, Yanhui Zhou, Hao Wei, Chenyang Ge, Jingwen Jiang
https://arxiv.org/abs/2404.18820 https://arxiv.org/pdf/2404.18820
arXiv:2404.18820v1 Announce Type: new
Abstract: Compressing images at extremely low bitrates (below 0.1 bits per pixel (bpp)) is a significant challenge due to substantial information loss. Existing extreme image compression methods generally suffer from heavy compression artifacts or low-fidelity reconstructions. To address this problem, we propose a novel extreme image compression framework that combines compressive VAEs and pre-trained text-to-image diffusion models in an end-to-end manner. Specifically, we introduce a latent feature-guided compression module based on compressive VAEs. This module compresses images and initially decodes the compressed information into content variables. To enhance the alignment between content variables and the diffusion space, we introduce external guidance to modulate intermediate feature maps. Subsequently, we develop a conditional diffusion decoding module that leverages pre-trained diffusion models to further decode these content variables. To preserve the generative capability of pre-trained diffusion models, we keep their parameters fixed and use a control module to inject content information. We also design a space alignment loss to provide sufficient constraints for the latent feature-guided compression module. Extensive experiments demonstrate that our method outperforms state-of-the-art approaches in terms of both visual performance and image fidelity at extremely low bitrates.

A separation theorem for Hilbert $W^*$-modules
Rasoul Eskandari, Mohammad Sal Moslehian
https://arxiv.org/abs/2405.04850 https://arxi…

A separation theorem for Hilbert $W^*$-modules
Let $\mathscr L$ be a closed submodule of a Hilbert $W^*$-module $\mathscr E$ over a $C^*$-algebra $\mathscr A$. We pose a separation problem: Does there exist a normal state $ω$ such that $ι_ω(\mathscr L)$ is not dense in $\mathscr E_ω$? In this note, among other results, we give an affirmative answer to this problem, when $\mathscr E$ is a self-dual Hilbert $W^*$-module such that $\mathscr E\backslash \mathscr L$ has a nonempty interior with respect to the weak$^*$-topology.

The Extension dimension of syzygy module categories
Junling Zheng, Lulu Tian, Qianyu Shu, Jinbi Zhang
https://arxiv.org/abs/2405.02921 https://

The Extension dimension of syzygy module categories
In this paper, our primary focus is on investigating the extension dimensions of syzygy module categories associated with Artin algebras, particularly under various equivalences. We demonstrate that, for sufficiently large $i$, the $i$-th syzygy module categories of derived equivalent algebras exhibit identical extension dimensions. Furthermore, we establish that the extension dimension of the $i$-th syzygy module category is an invariant under both stable equivalence and separable equivalence …

CrossNet: Leveraging Global, Cross-Band, Narrow-Band, and Positional Encoding for Single- and Multi-Channel Speaker Separation
Vahid Ahmadi Kalkhorani, DeLiang Wang
https://arxiv.org/abs/2403.03411

CrossNet: Leveraging Global, Cross-Band, Narrow-Band, and Positional Encoding for Single- and Multi-Channel Speaker Separation
We introduce CrossNet, a complex spectral mapping approach to speaker separation and enhancement in reverberant and noisy conditions. The proposed architecture comprises an encoder layer, a global multi-head self-attention module, a cross-band module, a narrow-band module, and an output layer. CrossNet captures global, cross-band, and narrow-band correlations in the time-frequency domain. To address performance degradation in long utterances, we introduce a random chunk positional encoding. Exp…

Elimination by Substitution
Martin Kreuzer, Lorenzo Robbiano
https://arxiv.org/abs/2403.06415 https://arxiv.org/pdf/2403.06415…

Elimination by Substitution
Let $K$ be a field and $P=K[x_1,\dots,x_n]$. The technique of elimination by substitution is based on discovering a coherently $Z=(z_1,\dots,z_s)$-separating tuple of polynomials $(f_1,\dots,f_s)$ in an ideal $I$, i.e., on finding polynomials such that $f_i = z_i - h_i$ with $h_i \in K[X \setminus Z]$. Here we elaborate on this technique in the case when $P$ is non-negatively graded. The existence of a coherently $Z$-separating tuple is reduced to solving several $P_0$-module membership problem…

This https://arxiv.org/abs/2205.13395 has been replaced.
link: https://scholar.google.com/scholar?q=a

A geometric representative for the fundamental class in KK-duality of Smale spaces
A fundamental ingredient in the noncommutative geometry program is the notion of KK-duality, often called K-theoretic Poincaré duality, that generalises Spanier-Whitehead duality. In this paper we construct a $θ$-summable Fredholm module that represents the fundamental class in KK-duality between the stable and unstable Ruelle algebras of a Smale space. To find such a representative, we construct dynamical partitions of unity on the Smale space with highly controlled Lipschitz constants. This…

This https://arxiv.org/abs/2306.17668 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Grothendieck-Verdier duality in categories of bimodules and weak module functors
Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a Grothendieck-Verdier category comes with two tensor products which should be related by distributors obeying pentagon identities. We discuss in which circumstances these distributors are isomorphisms. This is achieved by taking the perspective of module categories over monoidal categories, using in particular the natu…

This https://arxiv.org/abs/2403.15109 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Natural density of rank-$2$ Drinfeld modules with big Galois image
In this paper, we compute the natural density of rank-$1$ Drinfeld module over $\mathbb{F}_q[T]$ with surjective adelic Galois representation; and the natural density of rank-$2$ Drinfeld modules over $\mathbb{F}_q[T]$ whose $\mathfrak{l}$-adic Galois image containing the special linear subgroup for finitely many prime ideal $\mathfrak{l}$.

A note on Jacquet modules of general linear groups
Prem Dagar, Mahendra Kumar Verma
https://arxiv.org/abs/2405.05719 https://arxiv.or…

A note on Jacquet modules of general linear groups
Let F be a non-Archimedean local field. Consider G_n:= GL_n(F) and let M:= G_l * G_{n-l} be a maximal Levi subgroup of G_n. In this article, we compute the semisimplified Jacquet module of representations of G_n with respect to the maximal Levi subgroup M, belonging to a particular category of representations. Utilizing our results, we prove that the Jacquet module is multiplicity-free for a specific subcategory of representations. Our findings are based on the Zelevinsky classification.