Tootfinder

Moscow ready to grant Musk asylum if necessary amid rift with Trump, Russian official says
https://kyivindependent.com/moscow-ready-to-grant-musk-asylum-if-necessary-amid-rift-with-trump-russian-official-says/

This is quite an effort to signal a single bit of information.
https://apnews.com/article/conclave-pope-francis-cardinals-50c798caa826bbb7c913791175536add

Black smoke indicates conclave hasn't elected a new pope
Black smoke has poured out of the Sistine Chapel chimney, indicating no pope was elected on the first ballot of the conclave to choose a new leader of the Catholic Church. The smoke billowed out at 9 p.m. Wednesday, some four hours after 133 cardinals solemnly entered the Sistine Chapel, took their oaths of secrecy and formally opened the centuries-old ritual to elect a successor to Pope Francis to lead the 1.4 billion-member church. With no one securing the necessary two-thirds majority, or 89…

Fire from The Atlantic.
#USPol #Tariffs

Well-hued graphs with first difference two
Geoffrey Boyer, Kirsti Kuenzel, Jeremy Lyle, Ryan Pellico
https://arxiv.org/abs/2506.04993 https://

Well-hued graphs with first difference two
A graph $G$ is said to be well-hued if every maximal $k$-colorable subgraph of $G$ has the same order $a_k$. Therefore, if $G$ is well-hued, we can associate with $G$ a sequence $\{a_k\}$. Necessary and sufficient conditions were given as to when a sequence $\{a_k\}$ is realized by a well-hued graph. Further, it was conjectured there is only one connected well-hued graph with $a_2 = a_1 + 2$ for every $a_1 \ge 4$. In this paper, we prove this conjecture as well as characterize nearly all well-h…

An emergence-oriented approach to cyclic pursuit
Zhaozhan Yao, Yuhua Yao, Xiaoming Hu
https://arxiv.org/abs/2506.05157 https://arxiv.…

An emergence-oriented approach to cyclic pursuit
In this paper, we explore the cyclic pursuit problem of unicycles and study circular formation from an emergence perspective. We first establish a systematic study on such formation and derive a necessary and sufficient condition for its existence. Building on this theoretical foundation, we design a distributed control law that enables the spontaneous formation of circular formations through only local interactions. Notably, key geometric features -- including the radius and agent spacing -- a…

FPF Unveils Paper on State Data Minimization Trends
https://fpf.org/blog/fpf-unveils-paper-on-state-data-minimization-trends/
@…

A framework for fluctuating times and counting observables in stochastic excursions
Guilherme Fiusa, Pedro E. Harunari, Abhaya S. Hegde, Gabriel T. Landi
https://arxiv.org/abs/2506.05160

A framework for fluctuating times and counting observables in stochastic excursions
Many natural systems exhibit dynamics characterized by alternating phases. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to quantum thermal machines. In an accompanying Letter, we introduced the notion of stochastic excursions -- a framework to analyze far from equilibrium processes via sub-trajectories. Through counting observables, this framework captures finite-time fluctuations and trajectory-level behavio…

This https://arxiv.org/abs/2209.10950 has been replaced.
link: https://scholar.google.com/scholar?q=a

DELight: a Direct search Experiment for Light dark matter with superfluid helium
To reach ultra-low detection thresholds necessary to probe unprecedentedly low Dark Matter masses, target material alternatives and novel detector designs are essential. One such target material is superfluid $^4$He which has the potential to probe so far uncharted light Dark Matter parameter space at sub-GeV masses. The new ``Direct search Experiment for Light dark matter'', DELight, will be using superfluid helium as active target, instrumented with magnetic micro-calorimeters. It is being de…

This https://arxiv.org/abs/2411.07350 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Prestellar Cores in Turbulent Clouds: Properties of Critical Cores
A fraction of the dense cores within a turbulent molecular cloud will eventually collapse to form stars. Identifying the physical criteria for instability and analyzing critical core properties is therefore necessary to star formation theory. Here we quantify the characteristics of an ensemble of "critical cores" on the verge of collapse. This critical epoch was identified in a companion paper, which followed the dynamical evolution of prestellar cores in numerical simulations of turbulent, sel…

Design of a visual environment for programming by direct data manipulation
Michel Adam (UBS, IRISA), Patrice Frison (UBS, IRISA), Moncef Daoud (UBS), Sabine Letellier Zarshenas (UBS)
https://arxiv.org/abs/2506.03720

Design of a visual environment for programming by direct data manipulation
The use of applications on computers, smartphones, and tablets has been considerably simplified thanks to interactive and dynamic graphical interfaces coupled with the mouse and touch screens. It is no longer necessary to be a computer specialist to use them. Paradoxically, the development of computer programs generally requires writing lines of code in a programming language whose syntax is particularly strict. This process poses many difficulties for programmers. We propose an original tool i…

Boundary regularity for subelliptic equations in the Heisenberg group
Farhan Abedin, Giulio Tralli
https://arxiv.org/abs/2506.05151 https://

Boundary regularity for subelliptic equations in the Heisenberg group
We prove boundary Hölder and Lipschitz regularity for a class of degenerate elliptic, second order, inhomogeneous equations in non-divergence form structured on the left-invariant vector fields of the Heisenberg group. Our focus is on the case of operators with bounded and measurable coefficients and bounded right-hand side; when necessary, we impose a dimensional restriction on the ellipticity ratio and a growth rate for the source term near characteristic points of the boundary. For solution…

Some constructions of non-generalized Reed-Solomon MDS Codes
Kanat Abdukhalikov, Cunsheng Ding, Gyanendra K. Verma
https://arxiv.org/abs/2506.04080 https:/…

Some constructions of non-generalized Reed-Solomon MDS Codes
We investigate two classes of extended codes and provide necessary and sufficient conditions for these codes to be non-GRS MDS codes. We also determine the parity check matrices for these codes. Using the connection of MDS codes with arcs in finite projective spaces, we give a new characterization of o-monomials.

This https://arxiv.org/abs/2409.14734 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The continuous-time limit of quasi score-driven volatility models
This paper explores the continuous-time limit of a class of Quasi Score-Driven (QSD) models that characterize volatility. As the sampling frequency increases and the time interval tends to zero, the model weakly converges to a continuous-time stochastic volatility model where the two Brownian motions are correlated, thereby capturing the leverage effect in the market. Subsequently, we identify that a necessary condition for non-degenerate correlation is that the distribution of driving innovati…

"We’re doing all we can to drive the enemy from our land! We’ll strike them at sea, in the air and on land. If necessary, we’ll get them from underground," the SBU writes in a Telegram post.
From underground...
#Ukraine

This https://arxiv.org/abs/2407.18950 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAI_…

Unexplainability of Artificial Intelligence Judgments in Kant's Perspective
Kant's Critique of Pure Reason, a major contribution to the history of epistemology, proposes a table of categories to elucidate the structure of the a priori principles underlying human judgment. Artificial intelligence (AI) technology, grounded in functionalism, claims to simulate or replicate human judgment. To evaluate this claim, it is necessary to examine whether AI judgments exhibit the essential characteristics of human judgment. This paper investigates the unexplainability of AI judgme…

$J$-class weighted translations on locally compact groups
M. R. Azimi, I. Akbarbaglu, A. R. Imanzadeh Fard
https://arxiv.org/abs/2506.04730 https://…

$J$-class weighted translations on locally compact groups
A bounded linear operator $T$ on a Banach space $X$ (not necessarily separable) is said to be $J$-class operator whenever the extended limit set, say $J_T(x)$ equals $X$ for some vector $x\in X$. Practically, the extended limit sets localize the dynamical behavior of operators. In this paper, using the extended limit sets we will examine the necessary and sufficient conditions for the weighted translation $T_{a,ω}$ to be $J$-class on a locally compact group $G$, within the setting of $ L^p$-sp…

Local-equilibrium theory of neutrino oscillations
Lucas Johns, Anson Kost
https://arxiv.org/abs/2506.03271 https://arxiv.org/pdf/2506…

Local-equilibrium theory of neutrino oscillations
Miscidynamics describes coarse-grained neutrino transport under the assumption that flavor mixing is in local equilibrium. Here we introduce the concept of turbulent flavor-wave viscosity and develop techniques for including it in miscidynamics. This extension of the theory is necessary when neutrinos develop weak flavor instabilities as a result of astrophysical driving. The flavor-wave dispersion relation is obtained using a new and more general form of linear analysis, which does not require…

Online Performance Assessment of Multi-Source-Localization for Autonomous Driving Systems Using Subjective Logic
Stefan Orf, Sven Ochs, Marc Ren\'e Zofka, J. Marius Z\"ollner
https://arxiv.org/abs/2506.02932

Online Performance Assessment of Multi-Source-Localization for Autonomous Driving Systems Using Subjective Logic
Autonomous driving (AD) relies heavily on high precision localization as a crucial part of all driving related software components. The precise positioning is necessary for the utilization of high-definition maps, prediction of other road participants and the controlling of the vehicle itself. Due to this reason, the localization is absolutely safety relevant. Typical errors of the localization systems, which are long term drifts, jumps and false localization, that must be detected to enhance s…

This https://arxiv.org/abs/2411.03347 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Dispersion relation for the linear theory of relativistic Rayleigh Taylor instability in magnetized medium revisited
The Rayleigh-Taylor instability (RTI) arises at the interface between two fluids of different densities, notably when a heavier fluid lies above a lighter one in an effective gravitational field. In astrophysical systems with high velocities, relativistic corrections are necessary. We investigate the linear theory of relativistic Rayleigh-Taylor instability (R-RTI) in a magnetized medium, where fluids can move parallel to the interface at relativistic velocities. We chose an "intermediate frame…

P\'{o}lya's conjecture on $\mathbb{S}^1 \times \R$
Pedro Freitas, Rui Wang
https://arxiv.org/abs/2506.04341 https://arxiv.org…

Pólya's conjecture on $\mathbb{S}^1 \times \R$
We study the area ranges where the two possible isoperimetric domains on the infinite cylinder $\mathbb{S}^{1}\times \R$, namely, geodesic disks and cylindrical strips of the form $\mathbb{S}^1\times [0,h]$, satisfy Pólya's conjecture. In the former case, we provide an upper bound on the maximum value of the radius for which the conjecture may hold, while in the latter we fully characterise the values of $h$ for which it does hold for these strips. As a consequence, we determine a necessary an…

This https://arxiv.org/abs/2502.14753 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

MedVAE: Efficient Automated Interpretation of Medical Images with Large-Scale Generalizable Autoencoders
Medical images are acquired at high resolutions with large fields of view in order to capture fine-grained features necessary for clinical decision-making. Consequently, training deep learning models on medical images can incur large computational costs. In this work, we address the challenge of downsizing medical images in order to improve downstream computational efficiency while preserving clinically-relevant features. We introduce MedVAE, a family of six large-scale 2D and 3D autoencoders c…

Here's a more positive challenge for the "AI scientists": reproduce a paper. From the PDF alone, implement and re-run the experiments as written, filling in the gaps as necessary and get the same results.
That's a lot more meaningful than passing peer review and it would actually be quite useful to automate. It could become a required check on any accepted paper.

Good communication relationships across an organization are necessary if you want to draw an accurate representation of how parts of your system interact. You may think you understand how others use outputs, but you can’t be certain until you ask. Knowing who to ask comes from relationship building.
From: @…
https://fosstodon.org/@ama_conf/114601855016106036

Should not be necessary given the ruling against Trump’s White House in 2020, but here we are anyway:
“National Association of the Deaf Sues White House for Access to Press Briefings”
https://www.nad.org/2025/05/28/national-as

Isotypic blocks of finite groups algebras that are not $p$-permutation equivalent
John Revere McHugh
https://arxiv.org/abs/2506.03446 https://

Isotypic blocks of finite groups algebras that are not $p$-permutation equivalent
We show that Kessar's isotypy between Galois conjugate blocks of finite group algebras does not always lift to a $p$-permutation equivalence. We also provide examples of Galois conjugate blocks which are isotypic but not $p$-permutation equivalent. These results help to clarify the distinction between a $p$-permutation equivalence and an isotypy, and may be useful in determining necessary and sufficient conditions for when an isotypy lifts to a $p$-permutation equivalence.

This https://arxiv.org/abs/2412.17784 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD
We investigate the high-energy fixed-angle scattering of pions and $ρ$-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler arXiv:hep-th/0109174 to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptotically AdS space. We demonstrate that our generalisation of the Polchinski--Strassler proposal is necessary to describe $ρ$-meson scattering consistently with the Nambu--Goldstone boson e…

Cowboys may use $136 million asset less, gain more from 4x Pro Bowler in 2025 https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/03/dallas-cowboys-player-profile-wr-ceedee-lamb/84005562007/

PandasBench: A Benchmark for the Pandas API
Alex Broihier, Stefanos Baziotis, Daniel Kang, Charith Mendis
https://arxiv.org/abs/2506.02345 https://

PandasBench: A Benchmark for the Pandas API
The Pandas API has been central to the success of pandas and its alternatives. Despite its importance, there is no benchmark for it, and we argue that we cannot repurpose existing benchmarks (from other domains) for the Pandas API. In this paper, we introduce requirements that are necessary for a Pandas API enchmark, and present the first benchmark that fulfills them: PandasBench. We argue that it should evaluate the real-world coverage of a technique. Yet, real-world coverage is not sufficie…

Evaluating the Contextual Integrity of False Positives in Algorithmic Travel Surveillance
Alina Wernick, Alan Medlar, Sofia S\"oderholm, Dorota G{\l}owacka
https://arxiv.org/abs/2506.00218

Evaluating the Contextual Integrity of False Positives in Algorithmic Travel Surveillance
International air travel is highly surveilled. While surveillance is deemed necessary for law enforcement to prevent and detect terrorism and other serious crimes, even the most accurate algorithmic mass surveillance systems produce high numbers of false positives. Despite the potential impact of false positives on the fundamental rights of millions of passengers, algorithmic travel surveillance is lawful in the EU. However, as the system's processing practices and accuracy are kept secret by l…

SIL Allocation for Mitigation Safety Functions
Hamid Jahanian
https://arxiv.org/abs/2506.02309 https://arxiv.org/pdf/2506.02309

SIL Allocation for Mitigation Safety Functions
SIL (Safety Integrity Level) allocation plays a pivotal role in evaluating the significance of Safety Functions (SFs) within high-risk industries. The outcomes of a SIL allocation study determine the design specifications necessary to uphold the Probability of Failure on Demand (PFD) below permissible limits, thus managing risk effectively. While extensive research has focused on SIL allocation for preventive SFs, there is a noticeable gap in attention towards mitigation SFs. To address this ga…

Strongly driven transmon as an incoherent noise source
Linda Greggio, R\'emi Robin, Mazyar Mirrahimi, Alexandru Petrescu
https://arxiv.org/abs/2505.24549

Strongly driven transmon as an incoherent noise source
Under strong drives, which are becoming necessary for fast high-fidelity operations, transmons can be structurally unstable. Due to chaotic effects, the computational manifold is no longer well separated from the remainder of the spectrum, which correlates with enhanced offset-charge sensitivity and destructive effects in readout. We show here that these detrimental effects can further propagate to other degrees of freedom, for example to neighboring qubits in a multi-qubit system. Specifically…

23andMe sold out and sold your genetic info, no consent necessary
https://thehill.com/opinion/technology/5326338-regeneron-23andme-dna-data-acquisition-implications/

From Translink
Oakridge–41st Avenue Canada Line Station to close early for seven weeks
Two phases of night work necessary to install support structures at station entrance
The Canada Line’s Oakridge–41st Avenue Station will be closing at 11 p.m. from Sunday to Thursday nights over seven weeks, to allow for important upgrade work.

The temporary closures will happen in two phases and are necessary to ensure customer safety.
🧵1/n

Combinatorial $t$-Designs from Finite Abelian Groups and Their Applications to Elliptic Curve Codes
Hengfeng Liu, Chunming Tang, Cuiling Fan, Rong Luo
https://arxiv.org/abs/2506.00429

Combinatorial $t$-Designs from Finite Abelian Groups and Their Applications to Elliptic Curve Codes
In this paper, we establish the conditions for some finite abelian groups and the family all the $k$-sets in each of them summing up to an element $x$ to form $t$-designs. We fully characterize the sufficient and necessary conditions for the incidence structures to form $1$-designs in finite abelian $p$-groups, generalizing existing results on vector spaces over finite fields. For finite abelian groups of exponent $pq$, we also propose sufficient and necessary conditions for the incidence struc…

This https://arxiv.org/abs/2404.06343 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Should We Expect Further Acceleration of the Earth's Rotation in the Coming Years?
Recently, it has been suggested in the literature that the difference between universal and coordinated time UT1-UTC could reach a large positive value in the coming years (Agnew 2024). This would make it necessary to introduce a negative leap second into UTC for the first time in history, which in turn will cause serious problems in time keeping and synchronization systems around the world. Based on the latest Earth's rotation and universal time data published by the international Earth rotati…

if you want to read the new translation of Capital, it's 50% off until May 31st, which means there is only half as much socially-necessary labor time embodied in it
https://press.princeton.edu/books/hardcover/9780691190075/capital

Existence of balanced dualizing dg-modules
Michael K. Brown, Andrew J. Soto Levins, Prashanth Sridhar
https://arxiv.org/abs/2506.02398 https://

Existence of balanced dualizing dg-modules
We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dualizing complexes over graded algebras. As a consequence, we show that a dg-algebra satisfying certain finiteness conditions admits a balanced dualizing dg-module if and only if its zeroth cohomology algebra admits a balanced dualizing complex. Additionally, we obtain a host of new examples of dg-algebras whose associat…

On $\theta$-extension of continuous mapping
Andrew Ryabikov
https://arxiv.org/abs/2506.02228 https://arxiv.org/pdf/2506.02228

On $θ$-extension of continuous mapping
We consider the problem of constructing a weakly-continuous mapping extending continuous mapping defined on a dense set of a topological space to the entire space. Theorem on necessary and sufficient conditions for the existence of such an extension are proved. The axioms of separation and compactness of spaces are not assumed.

Mapping Parton Distributions of Hadrons with Lattice QCD
Huey-Wen Lin
https://arxiv.org/abs/2506.05025 https://arxiv.org/pdf/2506.050…

Mapping Parton Distributions of Hadrons with Lattice QCD
The strong force which binds hadrons is described by the theory of quantum chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a comprehensive understanding of the structure of hadrons. Within the context of the QCD parton picture, the parton distribution functions (PDFs) have been remarkably successful in describing a wide variety of processes. However, these PDFs have generally been confined to…

Molecular dynamics simulation of the effects of neutron irradiation on Caesium Lead Bromide
Zhongming Zhang, Samuel Murphy, Michael Aspinall
https://arxiv.org/abs/2506.00675

Molecular dynamics simulation of the effects of neutron irradiation on Caesium Lead Bromide
With the development of fast neutron reactors and nuclear fusion reactors, it is necessary to find new radiation-hardened high-flux core neutron detectors. The use of perovskite Caesium Lead Bromide (CsPbBr$_3$) for neutron radiation detection is a new research direction. However, at high temperatures, the effects of neutron radiation, especially the Primary Knock-out Atom (PKA) and Displacement Per Atom (DPA), and the defect distribution at the molecular level have not been reported. This stud…

Identification of gapless phases by squaring a twist operator
Hang Su, Yuan Yao, Akira Furusaki
https://arxiv.org/abs/2506.02496 https://

Identification of gapless phases by squaring a twist operator
We propose a general necessary condition for a spin chain with SO(3) spin-rotation symmetry to be gapped. Specifically, we prove that the ground state(s) of an SO(3)-symmetric gapped spin chain must be spin singlet(s), and the expectation value of the square of a twist operator asymptotically approaches unity in the thermodynamic limit, where finite-size corrections are inversely proportional to the square root of the system size. This theorem provides (i) supporting evidence for various conjec…

A Family of Robust Generalized Adaptive Filters and Application for Time-series Prediction
Yi Peng, Haiquan Zhao, Jinhui Hu
https://arxiv.org/abs/2506.00397

A Family of Robust Generalized Adaptive Filters and Application for Time-series Prediction
The continuous development of new adaptive filters (AFs) based on novel cost functions (CFs) is driven by the demands of various application scenarios and noise environments. However, these algorithms typically demonstrate optimal performance only in specific conditions. In the event of the noise change, the performance of these AFs often declines, rendering simple parameter adjustments ineffective. Instead, a modification of the CF is necessary. To address this issue, the robust generalized ad…

fftvis: A Non-Uniform Fast Fourier Transform Based Interferometric Visibility Simulator
Tyler A. Cox, Steven G. Murray, Aaron R. Parsons, Joshua S. Dillon, Kartik Mandar, Zachary E. Martinot, Robert Pascua, Piyanat Kittiwisit, James E. Aguirre
#toXiv_bot_toot

This https://arxiv.org/abs/2305.17915 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the First Cohomology of Infinitesimal Poisson Algebras
For the so-called infinitesimal Poisson algebras encoding first-order jets of Poisson submanifolds, we provide a description of their first cohomology in terms of intrinsic cohomologies of the underlying Poisson submanifold. We establish a natural mapping from their first cohomology to the first Poisson cohomology of the corresponding Poisson submanifold. Moreover, we formulate necessary and sufficient conditions for the vanishing of the first cohomology of infinitesimal Poisson algebras. Final…

Japan to Begin Clinical Trials for Artificial Blood This Year https://www.goodnewsnetwork.org/japan-to-begin-clinical-trials-for-artificial-blood-this-year/

Japan to Begin Clinical Trials for Artificial Blood This Year
Whether high-income or low-income, every country has challenges meeting the necessity necessary amounts of stockpiled blood donations.

This https://arxiv.org/abs/2501.14597 has been replaced.
initial toot: https://mastoxiv.page/@a…

Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
We propose a nanodevice based on multi-terminal Josephson junctions for the creation and detection of poor man's Majorana (PMM) modes. The device consists of a double three-terminal Josephson junction (3TJJ) embedded in a planar semiconductor that engineers a two-site Kitaev chain. We identify the conditions necessary for the emergence of PMM modes by precisely tuning the superconducting phases of the terminals and the inter-junction coupling between the 3TJJs. To validate our findings, we perf…

Series D, Episode 01 - Rescue
DORIAN: It is necessary that you should understand what is to happen to you.
AVON: No it isn't. Just kill me and get it over with.
https://blake.torpidity.net/m/401/452 B7B6

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

This https://arxiv.org/abs/2502.16673 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the asymptotic validity of confidence sets for linear functionals of solutions to integral equations
This paper examines the construction of confidence sets for parameters defined as linear functionals of a function of W and X whose conditional mean given Z and X equals the conditional mean of another variable Y given Z and X. Many estimands of interest in causal inference can be expressed in this form, including the average treatment effect in proximal causal inference and treatment effect contrasts in instrumental variable models. We derive a necessary condition for a confidence set to be un…

This https://arxiv.org/abs/2401.07018 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Least squares for cardinal paired comparisons data
Least square estimators for graphical models for cardinal paired comparison data with and without covariates are rigorously analyzed. Novel, graph--based, necessary and sufficient conditions that guarantee strong consistency, asymptotic normality and the exponential convergence of the estimated ranks are emphasized. A complete theory for models with covariates is laid out. In particular, conditions under which covariates can be safely omitted from the model are provided. The methodology is empl…

Inner products on the Hilbert space $S_2$ of Hilbert--Schmidt operators
Josu\'e I. Rios-Cangas
https://arxiv.org/abs/2506.04541 https://

Inner products on the Hilbert space $S_2$ of Hilbert--Schmidt operators
This work presents a rigorous characterization of inner products on the Hilbert space $S_2$ of Hilbert--Schmidt operators. We first deal with a general setting of continuous sesquilinear forms on a Hilbert space $\mathcal H$, and provide a characterization of all inner products by means of positive operators in $\mathcal {B(H)}$. Next, we establish necessary and sufficient conditions for an operator in $\mathcal B(S_2)$ to be positive. Identifying an inner product with a positive operator enabl…

I donated to the Brennan Center for Justice at NYU School of Law
https://www.brennancenter.org/
"The Brennan Center for Justice is an independent, nonpartisan law and policy organization that works to reform, revitalize, and when necessary, defend our country’s systems of democracy a…

... it just occurred to me. It's hard to be a good writer without reading a lot, and this is kind of ignored in programming. Most programmers don't really spend a lot of time reading other people's code unless necessary.
(and it's kind of funny that LLMs are bad at code when they have read it all, or maybe because they *have* read it all, without a sense of taste.)

Object knowledge representation in the human visual cortex requires a connection with the language system https://journals.plos.org/plosbiology/article?id=10.1371/journal.pbio.3003161 "Our experiments reveal the contribution of the vision-la…

Object knowledge representation in the human visual cortex requires a connection with the language system
This study shows that communication between the visual cortex and the brain language system is necessary for the representation of object knowledge in the visual cortex and for corresponding behaviors in humans. This highlights the significance of connections between sensory and language systems for object knowledge in the human brain.

WHEN TO ACT, WHEN TO WAIT: Modeling Structural Trajectories for Intent Triggerability in Task-Oriented Dialogue
Yaoyao Qian, Jindan Huang, Yuanli Wang, Simon Yu, Kyrie Zhixuan Zhou, Jiayuan Mao, Mingfu Liang, Hanhan Zhou
https://arxiv.org/abs/2506.01881

WHEN TO ACT, WHEN TO WAIT: Modeling Structural Trajectories for Intent Triggerability in Task-Oriented Dialogue
Task-oriented dialogue systems often face difficulties when user utterances seem semantically complete but lack necessary structural information for appropriate system action. This arises because users frequently do not fully understand their own needs, while systems require precise intent definitions. Current LLM-based agents cannot effectively distinguish between linguistically complete and contextually triggerable expressions, lacking frameworks for collaborative intent formation. We present…

#WritersCoffeeClub 5/27. What is a ‘load-bearing’ part of your non-writerly life that makes writing possible for you?
I have a limited amount of energy and my family comes first, and then obligations that I have to take care of. Work is necessary, not optional.
The time I have left is my spare time. We all have that, an hour or two when we're free.
During that time,…

This https://arxiv.org/abs/2504.14906 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

OmniAudio: Generating Spatial Audio from 360-Degree Video
Traditional video-to-audio generation techniques primarily focus on perspective video and non-spatial audio, often missing the spatial cues necessary for accurately representing sound sources in 3D environments. To address this limitation, we introduce a novel task, 360V2SA, to generate spatial audio from 360-degree videos, specifically producing First-order Ambisonics (FOA) audio - a standard format for representing 3D spatial audio that captures sound directionality and enables realistic 3D a…

Higher-Order Automatic Differentiation Using Symbolic Differential Algebra: Bridging the Gap between Algorithmic and Symbolic Differentiation
He Zhang
https://arxiv.org/abs/2506.00796

Higher-Order Automatic Differentiation Using Symbolic Differential Algebra: Bridging the Gap between Algorithmic and Symbolic Differentiation
In scientific computation, it is often necessary to calculate higher-order derivatives of a function. Currently, two primary methods for higher-order automatic differentiation exist: symbolic differentiation and algorithmic automatic differentiation (AD). Differential Algebra (DA) is a mathematical technique widely used in beam dynamics analysis and simulations of particle accelerators, and it also functions as an algorithmic automatic differentiation method. DA automatically computes the Taylo…

This https://arxiv.org/abs/2312.01825 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Galois descent for motivic theories
We give necessary conditions for a category fibred in pseudo-abelian additive categories over the classifying topos of a profinite group to be a stack; these conditions are sufficient when the coefficients are $\mathbf{Q}$-linear. This applies to pure motives over a field in the sense of Grothendieck, Deligne-Milne and André, to mixed motives in the sense of Nori and to several motivic categories considered in arXiv:1506.08386 [math.AG]. We also give a simple proof of the exactness of a sequen…

This https://arxiv.org/abs/2310.14005 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Leveraging Complementary Attention maps in vision transformers for OCT image analysis
Optical Coherence Tomography (OCT) scan yields all possible cross-section images of a retina for detecting biomarkers linked to optical defects. Due to the high volume of data generated, an automated and reliable biomarker detection pipeline is necessary as a primary screening stage. We outline our new state-of-the-art pipeline for identifying biomarkers from OCT scans. In collaboration with trained ophthalmologists, we identify local and global structures in biomarkers. Through a comprehensi…

This https://arxiv.org/abs/2411.17443 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Electro-optically tunable Brillouin microlasers on lithium niobate platform
Miniature, monolithic, tunable sources of coherent radiation with narrow linewidths and low noise are highly sought after for photonic integration. Brillouin lasers, known for their intrinsically narrow linewidths, present an appealing solution. However, achieving the strong optomechanical coupling necessary for lasing in optical microresonators remains challenging due to the difficulty of simultaneously confining optical and acoustic modes with substantial modal overlap. Additionally, most Bri…

This https://arxiv.org/abs/2412.08118 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A remark on a generalized Suita conjecture for finite points case
In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary conditions for the equality part to hold when the harmonic part $u$ of the weight is trivial.

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
Christian Meyer, Gerd Wachsmuth
https://arxiv.org/abs/2506.02808

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
An optimal control problem in the space of Borel measures governed by the Poisson equation is investigated. The characteristic feature of the problem under consideration is the Tikhonov regularization term in form of the transportation distance of the control to a given prior. Existence of optimal solutions is shown and first-order necessary optimality conditions are derived. The latter are used to deduce structural a priori information about the optimal control and its support based on propert…

Haptic Rapidly-Exploring Random Trees: A Sampling-based Planner for Quasi-static Manipulation Tasks
Lin Yang, Huu-Thiet Nguyen, Donghan Yu, Chen Lv, Domenico Campolo
https://arxiv.org/abs/2506.00351

Haptic Rapidly-Exploring Random Trees: A Sampling-based Planner for Quasi-static Manipulation Tasks
In this work, we explore how conventional motion planning algorithms can be reapplied to contact-rich manipulation tasks. Rather than focusing solely on efficiency, we investigate how manipulation aspects can be recast in terms of conventional motion-planning algorithms. Conventional motion planners, such as Rapidly-Exploring Random Trees (RRT), typically compute collision-free paths in configuration space. However, in manipulation tasks, intentional contact is often necessary. For example, whe…

This https://arxiv.org/abs/2505.18893 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCY_…

Reality Check: A New Evaluation Ecosystem Is Necessary to Understand AI's Real World Effects
Conventional AI evaluation approaches concentrated within the AI stack exhibit systemic limitations for exploring, navigating and resolving the human and societal factors that play out in real world deployment such as in education, finance, healthcare, and employment sectors. AI capability evaluations can capture detail about first-order effects, such as whether immediate system outputs are accurate, or contain toxic, biased or stereotypical content, but AI's second-order effects, i.e. any long…

The second order Huang-Yang approximation to the Fermi thermodynamic pressure
Xuwen Chen, Jiahao Wu, Zhifei Zhang
https://arxiv.org/abs/2505.23136 https://…

The second order Huang-Yang approximation to the Fermi thermodynamic pressure
We consider a dilute Fermi gas in the thermodynamic limit with interaction potential scattering length $\mathfrak{a}_0$ at temperature $T>0$. We prove the 2nd order Huang-Yang approximation for the Fermi pressure of the system, in which there is a 2nd order term carrying the positive temperature efffect.Our formula is valid up to the temperature $T<ρ^{\frac{2}{3}+\frac{1}{6}}$, which is, by scaling, also necessary for the Huang-Yang formula to hold. Here, $T_F\simρ^{\frac{2}{3}}$ is the Fermi…

MINDS: The very low-mass star and brown dwarf sample. Detections and trends in the inner disk gas
A. M. Arabhavi, I. Kamp, Th. Henning, E. F. van Dishoeck, H. Jang, L. B. F. M. Waters, V. Christiaens, D. Gasman, I. Pascucci, G. Perotti, S. L. Grant, M. G\"udel, P. -O. Lagage, D. Barrado, A. Caratti o Garatti, F. Lahuis, T. Kaeufer, J. Kanwar, M. Morales-Calder\'on, K. Schwarz, A. D. Sellek, B. Tabone, M. Temmink, M. Vlasblom, P. Patapis

MINDS: The very low-mass star and brown dwarf sample. Detections and trends in the inner disk gas
Planet-forming disks around brown dwarfs and very low-mass stars (VLMS) are on average less massive and are expected to undergo faster radial solid transport than their higher mass counterparts. Spitzer had detected C$_2$H$_2$, CO$_2$ and HCN around these objects. With better sensitivity and spectral resolving power, JWST recently revealed incredibly carbon-rich spectra from such disks. A study of a larger sample of objects is necessary to understand how common such carbon-rich inner disk regio…

A Fuzzy Situation Eased: Cold Dark Matter with Multipoles Can Explain The Double Radio Quad Lens HS 0810 2554
John H. Miller Jr, Liliya L. R. Williams
https://arxiv.org/abs/2506.03132

A Fuzzy Situation Eased: Cold Dark Matter with Multipoles Can Explain The Double Radio Quad Lens HS 0810+2554
Originally observed in isophotal density contours of elliptical galaxies, higher order perturbations in the form of Fourier modes, or multipoles, are becoming increasingly recognized as necessary to account for angular mass complexity in strong lensing analyses. When smooth, elliptical CDM mass models fail, multipoles often emerge as solutions. With the discovery of two radio jets in the source quasar, the strong gravitational lens HS 0810+2554 can no longer be well fit by elliptical mass model…

Realistic quantum network simulation for experimental BBM92 key distribution
Michelle Chalupnik, Brian Doolittle, Suparna Seshadri, Eric G. Brown, Keith Kenemer, Daniel Winton, Daniel Sanchez-Rosales, Matthew Skrzypczyk, Cara Alexander, Eric Ostby, Michael Cubeddu
https://arxiv.org/abs/2505.24851…

Realistic quantum network simulation for experimental BBM92 key distribution
Quantum key distribution (QKD) can provide secure key material between two parties without relying on assumptions about the computational power of an eavesdropper. QKD is performed over quantum links and quantum networks, systems which are resource-intensive to deploy and maintain. To evaluate and optimize performance prior to, during, and after deployment, realistic simulations with attention to physical realism are necessary. Quantum network simulators can simulate a variety of quantum and cl…

US political contradictions; knowledge systems
As Trump at least partially succeeds in constructing an alternate reality for his most ardent followers, it's tempting to think of his dogma as false, in contrast to some imagined "truth" which his non-followers are smart enough to believe in. But a more nuanced view of knowledge would admit that different groups of people have different shared truths, constituting different knowledge systems which each deviate from what's objectively measurable in different ways, and in fact they each accept different standards of what is objective, so there's not really a single "ground truth" we can even compare to to determine which of these knowledge systems is "more correct" (similar problems arise even if we only care about "more useful").
To make this more concrete, we can see that e.g., competing quantum physics theories, or likewise competing religious beliefs, have no reasonable basis on which to judge between them, either in terms of "truth" or "utility." So the Trump-dogma knowledge system, although bad, morally repugnant, etc., can't so easily be dismissed as "false" in my view. "Distorted" or "malignant" or "evil" or "contradictory" are better monikers, in my opinion.
But what I'm even more interested in thinking about is: in what ways does the current American liberal "common sense" knowledge system already bear the scars of past fascist lies & contradictions? I can think of a few:
"Columbus was an explorer."
This is "factually accurate" in the same way some of Trump's propaganda is, but it's also a cruel distortion of "Columbus was a child murderer," and it's a misrepresentation that serves an evil purpose, yet which is widely taught in elementary schools today.
Another: "dropping atomic bombs on civilians in Japan was necessary to end WWII."
Perhaps in the future we'll have "family separation & the 2025 ICE crackdowns were necessary to end the immigration crisis," although I dearly hope not.
"Reparations for slavery aren't reasonable," is yet another...
I'll close this rambling with a question: what other fascist lies have you noticed that are normalized in America right now from past Trump-like leaders (or even from less overtly fascist institutions)?

A Bayesian hierarchical model for methane emission source apportionment
William S. Daniels, Douglas W. Nychka, Dorit M. Hammerling
https://arxiv.org/abs/2506.03395

A Bayesian hierarchical model for methane emission source apportionment
Reducing methane emissions from the oil and gas sector is a key component of short-term climate action. Emission reduction efforts are often conducted at the individual site-level, where being able to apportion emissions between a finite number of potentially emitting equipment is necessary for leak detection and repair as well as regulatory reporting of annualized emissions. We present a hierarchical Bayesian model, referred to as the multisource detection, localization, and quantification (MD…

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chru\'sci\'nski, Gen Kimura, Paolo Muratore-Ginanneschi
https://arxiv.org/abs/2506.02145

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity is necessary for this inequality to hold in general. Moreover, we use this to infer a similar bound for generators of one-parameter semigroups of 2-positive trace-preserving maps. With this approach we generalize known results for completely positive trace-preserving dynamics while providing a significantly simpler pro…

This https://arxiv.org/abs/2501.05683 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Dark Energy Survey Year 6 Results: Synthetic-source Injection Across the Full Survey Using Balrog
Synthetic source injection (SSI), the insertion of sources into pixel-level on-sky images, is a powerful method for characterizing object detection and measurement in wide-field, astronomical imaging surveys. Within the Dark Energy Survey (DES), SSI plays a critical role in characterizing all necessary algorithms used in converting images to catalogs, and in deriving quantities needed for the cosmology analysis, such as object detection rates, galaxy redshift estimation, galaxy magnification, s…

This https://arxiv.org/abs/2311.07309 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-singular extensions of circle-valued Morse functions
In this paper, we consider the non-singular extension problem for circle-valued Morse functions on closed orientable surfaces. The problem asks, given a circle-valued Morse function $f\colon M\to S^{1}$ on a closed orientable surface $M$, under what condition there exist a compact orientable 3-dimensional manifold $N$ with $\partial N = M$ and a submersion $G\colon N \to S^{1}$ such that $G|_{\partial N}=f$. We provide necessary and sufficient conditions for the existence of a non-singular…

Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
Carlisle Casuga, Henri H\"anninen, Heikki M\"antysaari
https://arxiv.org/abs/2506.00487

Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
We determine the initial condition of the Balitsky-Kovchegov evolution equation at next-to-leading order (NLO) accuracy using HERA deep inelastic scattering data. Posterior distributions characterizing the initial condition are extracted using Bayesian inference. The total cross section and charm quark production data from HERA are found to provide stringent constraints on the posterior. These distributions quantify the uncertainty in the initial condition and serve as necessary input for propa…

High-Contrast Coronagraphy
Matthew A. Kenworthy, Sebastiaan Y. Haffert
#toXiv_bot_toot

Hybrid SIS Dynamics for Demand Modeling of Frequently Updated Products
Ian Walter, Jitesh H. Panchal, Philip E. Par\'e
https://arxiv.org/abs/2506.01866

Hybrid SIS Dynamics for Demand Modeling of Frequently Updated Products
We propose a hybrid spreading process model to capture the dynamics of demand for software-based products. We introduce discontinuous jumps in the state to model sudden surges in demand that can be seen immediately after a product update is released. After each update, the modeled demand evolves according to a continuous-time susceptible-infected-susceptible (SIS) epidemic model. We identify the necessary and sufficient conditions for estimating the hybrid model's parameters for an arbitrary fi…

Series D, Episode 01 - Rescue
DORIAN: It is necessary that you should understand what is to happen to you.
AVON: No it isn't. Just kill me and get it over with.
https://blake.torpidity.net/m/401/452 B7B6

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

This https://arxiv.org/abs/2412.18872 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Proton Flux Measurement from Neutron Monitor Data Using Neural Networks
Accurate measurements of cosmic ray proton flux are essential for studying the modulation processes of cosmic rays during the solar activity cycle. A proton flux measurement method, based on ground-based neutron monitor (NM) data and deep learning techniques, is presented. After the necessary pre-processing of ground-based NM data using a convolutional neural network (CNN) model, we simulate the relationship between NM observations and proton flux measured by the Alpha Magnetic Spectrometer (AM…

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras
Rounak Biswas, Falguni Roy
https://arxiv.org/abs/2506.03845 …

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras
In this paper, we begin by introducing some necessary and sufficient conditions for generalized $n$-strong Drazin invertibility (g$n$s-invertibility) and pseudo $n$-strong Drazin invertibility (p$n$s-invertibility) of an element in a Banach algebra for $n\in\mathbb{N}$. Subsequently, these results are utilized to prove some additive properties of g$n$s (p$n$s)-Drazin inverse in a Banach algebra. This process produces a generalization of some recent results of H Chen, M Sheibani (Linear and Mult…

This https://arxiv.org/abs/2408.05846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNE_…

A Universal Flexible Neuromorphic Tactile System with Multithreshold Strategy
Extremely increased unstructured data brought by the large-scale intelligent sensing devices application have big challenges not only in data storing and processing but also power consumption surging. Therefore, to improve energy efficiency and processing speed, a new generation system structure and construction strategy is necessary. Most biological nervous systems, especially the tactile system, have a good flexibility and data processing performance with low power usage. Inspired from this m…

#WritersCoffeeClub 5/27. What is a ‘load-bearing’ part of your non-writerly life that makes writing possible for you?
I have a limited amount of energy and my family comes first, and then obligations that I have to take care of. Work is necessary, not optional.
The time I have left is my spare time. We all have that, an hour or two when we're free.
During that time,…

Nature: Cortical circuits for cross-modal generalization (in mice) https://www.nature.com/articles/s41467-025-59342-9 "Optogenetic sensory substitution and systematic silencing of these associative areas revealed that a single area in the dorsal stream is necessary an…

Cortical circuits for cross-modal generalization - Nature Communications
Neural mechanisms underlying cross-modal generalization of learned sensorimotor associations are not fully understood. Here authors show that mice use a specialized cortical circuit to generalize learned behaviors between vision and touch. A single region in the dorsal cortex is essential for forming abstract spatial representations that enable cross-modal flexibility.

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups
Finn G. Maurer, Erlend A. Basso, Henrik M. Schmidt-Didlaukies, Torleiv H. Bryne
https://arxiv.org/abs/2506.01514

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups
This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for the stochastic differential equation (SDE), we ensure that solutions remain on the manifold. The derivation of the filter follows classical EKF principles, naturally integrating a necessary full-order covariance reset post-measurement update. A key contribut…

Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
Eduardo Casas, Mariano Mateos
https://arxiv.org/abs/2505.24237

Boundary bilinear control of semilinear parabolic PDEs: quadratic convergence of the SQP method
We analyze a bilinear control problem governed by a semilinear parabolic equation. The control variable is the Robin coefficient on the boundary. First-order necessary and second-order sufficient optimality conditions are derived. A sequential quadratic programming algorithm is then proposed to compute local solutions. Starting the iterations from an initial point in an $L^2$-neighborhood of the local solution we prove stability and quadratic convergence of the algorithm in $L^p$ ($p < \infty$)…

Relaxation pathways and emergence of domains in square artificial spin ice
Matteo Menniti, Na\"emi Leo, Pedro Villalba-Gonz\'alez, Matteo Pancaldi, and Paolo Vavassori
https://arxiv.org/abs/2505.24041

Relaxation pathways and emergence of domains in square artificial spin ice
Multi-domain states of square artificial spin ice show a range of different morphologies ranging from simple stripe-like domains to more organically shaped coral domains. To model the relevant dynamics leading to the emergence of such diverse domain structures, simplified descriptions of the switching behavior of individual nanomagnets are necessary. In this work, we employ kinetic Monte Carlo simulations of the demagnetization of square artificial spin ice toward its ground state, and compare …

Almost Sure Uniform Convergence Of Random Hermite Series
Rafik Imekraz (MIA, ULR), Micka\"el Latocca (LaMME)
https://arxiv.org/abs/2506.03858 https://…

Almost Sure Uniform Convergence Of Random Hermite Series
We continue the analysis of random series associated to the multidimensional harmonic oscillator $-Δ+ |x|^2$ on $\mathbb{R}^d$ with d \geq 2$$. More precisely we obtain a necessary and sufficient condition to get the almost sure uniform convergence on the whole space $\mathbb{R}^d$ . It turns out that the same condition gives the almost sure uniform convergence on the sphere $\mathbb{S}^{d-1}$ (despite $\mathbb{S}^{d-1}$ is a zero Lebesgue measure of $\mathbb{R}^d$). From a probabili…

I've never written a novel or any other intensely-plotted work of fiction, but anyone who has read or watched it played a lot of stories can probably also recognize that some authors just aren't good at endings. They're great at setting things in motion, at keeping the twists and turns coming, at the soap opera style of drama. But they just don't have the craft necessary to tie things together into a satisfying conclusion. I imagine it's much harder than the process of getting things going out keeping them moving, since you both have to wind down all the various threads you've spun up and balance satisfaction with believability.
I just finished Girl Gone Viral by Arvin Ahmadi, and it has a bad ending. The beginning is fine, the middle has plenty of drama to keep you wanting to see what happens, but the ending is murky, unsatisfying, and manages neither veracity nor satisfaction (even discounting the biggest next step that might reasonably have been left there to make room for a sequel).
Given the other issues with the book, from poor politics, to inauthentic characters, to a techno-optimism that feels as bitter in this moment as it is far from the mark in its predictions, I can't recommended it, despite having read through to the end.
#AmReading

This https://arxiv.org/abs/2312.16393 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A reformulation of the conjecture of Prasad and Takloo-Bighash
Prasad and Takloo-Bighash proposed a conjecture which predicts a necessary condition in terms of epsilon factors for representations of $\mathrm{GL}_n(F)$ and its inner forms to have linear periods. In this rather expository article, we reformulate their conjecture in the following form: The distinguished members in each generic $L$-packet $Π_ϕ$ are determined by the characters of the component group $S_ϕ$ and local epsilon factors. We follow Aubert et al.\,for the definitions of the $L$-pac…

This https://arxiv.org/abs/2505.18893 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCY_…

Reality Check: A New Evaluation Ecosystem Is Necessary to Understand AI's Real World Effects
Conventional AI evaluation approaches concentrated within the AI stack exhibit systemic limitations for exploring, navigating and resolving the human and societal factors that play out in real world deployment such as in education, finance, healthcare, and employment sectors. AI capability evaluations can capture detail about first-order effects, such as whether immediate system outputs are accurate, or contain toxic, biased or stereotypical content, but AI's second-order effects, i.e. any long…

This https://arxiv.org/abs/2312.13227 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Relative cell complexes in closure spaces
We give necessary and sufficient conditions for certain pushouts of topological spaces in the category of Cech's closure spaces to agree with their pushout in the category of topological spaces. We prove that in these two categories, the constructions of cell complexes by a finite sequence of closed cell attachments, which attach arbitrarily many cells at a time, agree. Likewise, the constructions of CW complexes relative to a compactly generated weak Hausdorff space that attach only finitely m…

On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta Matsumoto, Ken'ichi Yoshida
https://arxiv.org/abs/2505.20940

On the isotopies of tangles in periodic 3-manifolds using finite covers
A periodic tangle is a one-dimensional submanifold in $\mathbb{R}^3$ that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as the universal cover of a link in the solid torus, the thickened torus, or the three-torus, respectively. Our goal is to study equivalence relations of such periodic tangles. Since all finite covers of a link lift to the same periodic tangle, it is necessary to prove that isotopies between different finite covers are pre…

This https://arxiv.org/abs/2408.05846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNE_…

A Universal Flexible Neuromorphic Tactile System with Multithreshold Strategy
Extremely increased unstructured data brought by the large-scale intelligent sensing devices application have big challenges not only in data storing and processing but also power consumption surging. Therefore, to improve energy efficiency and processing speed, a new generation system structure and construction strategy is necessary. Most biological nervous systems, especially the tactile system, have a good flexibility and data processing performance with low power usage. Inspired from this m…

Input-Power-to-State Stability of Time-Varying Systems
Hernan Haimovich, Shenyu Liu, Antonio Russo, Jose L. Mancilla-Aguilar
https://arxiv.org/abs/2505.24805

Input-Power-to-State Stability of Time-Varying Systems
When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful information. This paper considers an ISS-related concept suitable in such a case: input-power-to-state stability (IPSS). Necessary and sufficient conditions for IPSS are developed for time-varying systems under very mild assumptions on the dynamics. More precise…

Computerized Modeling of Electrophysiology and Pathoelectrophysiology of the Atria -- How Much Detail is Needed?
Olaf D\"ossel, Axel Loewe
https://arxiv.org/abs/2505.23717

Computerized Modeling of Electrophysiology and Pathoelectrophysiology of the Atria -- How Much Detail is Needed?
This review focuses on the computerized modeling of the electrophysiology of the human atria, emphasizing the simulation of common arrhythmias such as atrial flutter (AFlut) and atrial fibrillation (AFib). Which components of the model are necessary to accurately model arrhythmogenic tissue modifications, including remodeling, cardiomyopathy, and fibrosis, to ensure reliable simulations? The central question explored is the level of detail required for trustworthy simulations for a specific con…

Survivors and Zombies: The Quenching and Disruption of Satellites around Milky Way Analogs
Debosmita Pathak, Charlotte R. Christensen, Alyson M. Brooks, Ferah Munshi, Anna C. Wright, Courtney Carter
https://arxiv.org/abs/2505.22742

Survivors and Zombies: The Quenching and Disruption of Satellites around Milky Way Analogs
It is necessary to understand the full accretion history of the Milky Way in order to contextualize the properties of observed Milky Way satellite galaxies and the stellar halo. This paper compares the dynamical properties and star-formation histories of surviving and disrupted satellites around Milky Way-like galaxies using the DC Justice League suite of very high-resolution cosmological zoom-in simulations of Milky Way analogs and their halo environments. We analyze the full census of galaxie…

This https://arxiv.org/abs/2405.07636 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Nonlinear Network Identifiability with Full Excitations
We derive conditions for the identifiability of nonlinear networks characterized by additive dynamics at the level of the edges when all the nodes are excited. In contrast to linear systems, we show that the measurement of all sinks is necessary and sufficient for the identifiability of directed acyclic graphs, under the assumption that dynamics are described by analytic functions without constant terms (i.e., $f(0)=0$). But if constant terms are present, then the identifiability is impossible …

Existence and Properties of Frames of Iterations
A. Aguilera, C. Cabrelli, F. Negreira, V. Paternostro
https://arxiv.org/abs/2506.00567 https://

Existence and Properties of Frames of Iterations
Let T be a bounded operator acting on an infinite-dimensional Hilbert space. We provide necessary and sufficient conditions for the existence of a Parseval frame of iterations generated by T. Based in this result, we give a new proof of a known characterization concerning the existence of (not necessarily Parseval) frames of iterations. As a consequence of our results, we obtain that certain operators lack Parseval frames despite possessing frames of iterations. In addition, we introduce the in…

This https://arxiv.org/abs/2405.07636 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Nonlinear Network Identifiability with Full Excitations
We derive conditions for the identifiability of nonlinear networks characterized by additive dynamics at the level of the edges when all the nodes are excited. In contrast to linear systems, we show that the measurement of all sinks is necessary and sufficient for the identifiability of directed acyclic graphs, under the assumption that dynamics are described by analytic functions without constant terms (i.e., $f(0)=0$). But if constant terms are present, then the identifiability is impossible …

Robust Aperiodic Sampled-Data Washout Control for Uncertain Affine Systems
Folco Giorgetti, Francesco Crocetti, Mario Luca Fravolini, Francesco Ferrante
https://arxiv.org/abs/2505.23534

Robust Aperiodic Sampled-Data Washout Control for Uncertain Affine Systems
In this paper, we address the problem of designing an aperiodic sampled-data controller stabilizing the zero-input equilibrium of an uncertain affine plant. The closed-loop system is modeled as a hybrid dynamical system incorporating a timer triggering the occurrence of the sampling events and two memory states storing the value of the controller state and controller output at each sampling time. Necessary and sufficient conditions on the controller parameters are given to establish the sought …

On the discrete Hilbert-type operators
Jianjun Jin
https://arxiv.org/abs/2505.22972 https://arxiv.org/pdf/2505.22972

On the discrete Hilbert-type operators
Recently, Bansah and Sehba studied in [3] the boundedness of a family of Hilbert-type integral operators, in which they characterized the $L^{p}-L^{q}$ boundedness of the operators for $1\leq p\leq q\leq \infty$. In this paper, we deal with the corresponding discrete Hilbert-type operators acting on the weighted sequence spaces. We establish some sufficient and necessary conditions for the $l^{p}-l^{q}$ boundedness of the operators for $1\leq p\leq q\leq \infty$. We find out that the conditions…