Tootfinder

OK, let's be clear about #Autism:
A majority of engineers, including software engineers, are #ActuallyAutistic; I suspect a majority of architects and people who invent new stuff generally are; many people in the creative arts are.
Without

Independent review into mental health conditions, ADHD and autism: terms of reference

Glossary of Technical and Green Terms - Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy -

Glossary of Technical and Green Terms
Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy

Joint distributions of error terms for primes in arithmetic progressions modulo 11
K\"ubra Benl\.i, Greg Martin, Paul P\'eringuey
https://arxiv.org/abs/2510.05427 https…

Joint distributions of error terms for primes in arithmetic progressions modulo 11
We provide a formula for the logarithmic density of the set of positive real numbers on which two prime counting functions $ψ(x;q,a)$ and $ψ(x;q,b)$ are simultaneously larger than their asymptotic main terms, as well as a method for calculating the numerical values of such densities with rigorously bounded errors. We apply these formulas to the pairwise races in the case $q=11$, determining which pairs of residues $a$ and $b$ are more or less correlated in this way. The outcomes when $q=11$ p…

Bleh. Just saw a friend who found out they couldn’t be followed by one of their friends because (unbeknownst to both parties) the moderators of their friend’s instance had defederated from their own instance. All of this, for people who barely know what any of these terms mean. What they experience is, “Two people you’ve never met have a beef you’ve never heard about over an issue you don’t know about, so your friend can’t see you. And there’s no fix.” It’s just terrible all around.

On the distribution of $A_\alpha$-eigenvalues in terms of graph invariants
Uilton Cesar Peres Junior, Carla Silva Oliveira, Andr\'e Ebling Brondan
https://arxiv.org/abs/2510.06933

On the distribution of $A_α$-eigenvalues in terms of graph invariants
Let $G$ be a connected graph of order $n$, and $A(G)$ and $D(G)$ its adjacency and degree diagonal matrices, respectively. For a parameter $α\in [0,1]$, Nikiforov~(2017) introduced the convex combination $A_α(G) = αD(G) + (1 - α)A(G)$. In this paper, we investigate the spectral distribution of $A_α(G)$-eigenvalues, over subintervals of the real line. We establish lower and upper bounds on the number of such eigenvalues in terms of structural parameters of $G$, including the number of penda…

foldoc: FOLDOC entries (2002)
A network of hyperlinks among entries in the Free On-line Dictionary of Computing (FOLDOC, www.foldoc.org), an online dictionary of acronyms and technical terms for computers. An edge points from i to j if the term j is referred to in the entry for term i. Edge weight denotes number of uses of the same term.
This network has 13356 nodes and 120238 edges.
Tags: Informational, Web graph, Weighted

Perhaps they'll have to change their brand name to Beyond Dead Animals now?
https://www.euronews.com/my-europe/2025/10/08/when-is-a-sausage-no-longer-a-sausage-european-parliament-answers-a…

When is a sausage no longer one? EU Parliament answers after grilling
The European Parliament has voted to ban meat-related terms like “burger” and “sausage” for plant-based products, prompting backlash from consumer and environmental groups. #EuropeNews

Want a used car that works?
You’d be wise to not get an older Tesla.
In Consumer Reports’ latest ranking for used cars,
the Elon Musk-run automaker came dead last in terms of reliability,
trailing by over forty points from the top spot on a scale between 0 and 100
https://futurism.co…

Old Teslas Are Falling Apart
On Consumer Reports' latest ranking of used car reliability, Tesla came in dead last with a rating not even half of the top placed brand.

"At $4.5bn each year extreme weather is costing Australia three times as much compared with 1990s, insurers say"
#Australia #Climate #ClimateChange

Why do the D's in Congress talk about "negotiating" the continuing resolution and ending the federal shutdown?
What is there to talk about?
From the D perspective should not the health care demands be a non-negotiable red line?
Personally I don't believe the D's should worry whether the shutdown extends until the end of el-cheeto's terms. Cheeto will ignore any negotiated limits or obligations and will simply declare "emergencies" and ta…

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
Jae Jun Kim
https://arxiv.org/abs/2510.06155 https://

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
We present a method in which the dimension-five and -six terms in a sequential gauge symmetry can coexist with that of the dihedral flavor symmetry. We start with the contents in the model proposed in a sequential gauge symmetry, meeting the conditions for the contents to be described in the flavor symmetry, build up the mass matrices and discuss its implications. Given that the breaking of the symmetry only takes place in the dimension-five and -six terms in the mass matrix of the charged ferm…

A Set of Quebec-French Corpus of Regional Expressions and Terms
David Beauchemin, Yan Tremblay, Mohamed Amine Youssef, Richard Khoury
https://arxiv.org/abs/2510.05026 https://…

A Set of Quebec-French Corpus of Regional Expressions and Terms
The tasks of idiom understanding and dialect understanding are both well-established benchmarks in natural language processing. In this paper, we propose combining them, and using regional idioms as a test of dialect understanding. Towards this end, we propose two new benchmark datasets for the Quebec dialect of French: QFrCoRE, which contains 4,633 instances of idiomatic phrases, and QFrCoRT, which comprises 171 regional instances of idiomatic words. We explain how to construct these corpora, …

At OpenAI's DevDay, Sam Altman and Jony Ive spoke in vague terms about the "family of devices" currently under development; Altman says "it will take a while" (Wired)
https://www.wired.com/story/sam-altman-and-jony-ives-ai-device-dev-day/

Jony Ive Says He Wants His OpenAI Devices to ‘Make Us Happy’
“I don’t think we have an easy relationship with our technology at the moment,” the former Apple designer said at OpenAI’s developer conference in San Francisco on Monday.

AMAQ: Adaptive Mixed-bit Activation Quantization for Collaborative Parameter Efficient Fine-tuning
Yurun Song, Zhuoyi Yang, Ian G. Harris, Sangeetha Abdu Jyothi
https://arxiv.org/abs/2510.05468

AMAQ: Adaptive Mixed-bit Activation Quantization for Collaborative Parameter Efficient Fine-tuning
Large Language Models (LLMs) are scaling rapidly, creating significant challenges for collaborative server client distributed training, particularly in terms of communication efficiency and computational overheads. To address these challenges, we implement Parameter-efficient Split Learning, which effectively balances efficiency and performance for collaborative training on low-resource devices. To reduce communication overhead in collaborative training, we introduce Adaptive Mixed bit Activa…

On actions and split extensions in varieties of hoops: the case of strong section
Manuel Mancini, Giuseppe Metere, Federica Piazza
https://arxiv.org/abs/2510.06886 https://

On actions and split extensions in varieties of hoops: the case of strong section
The aim of this article is to investigate internal actions and split extensions in the variety of hoops. We provide a characterization of split extensions with strong section in terms of strong external actions. Beyond the general setting of hoops, the study is extended to the subvarieties of basic hoops, Wajsberg hoops, Gödel hoops and product hoops. Within the setting of basic hoops and their bounded counterparts, BL-algebras, the double negation yields a significant example of split extensi…

Saw this comment about the Arduino acquisition: "Let the Enshitification Begin."
Another said: "This is not what I want from an Arduino. I want cheap, low-power both in terms of usage and capability, simple and open source."
#arduino

Many of the details of the agreement reached after 3 days of indirect talks in the Egyptian Red Sea resort of Sharm el-Sheikh remain unclear and challenges of implementing its terms are immense.
But in recent days, negotiators have closed gaps between Hamas and Israel over the details of the first phase of the 21-point plan announced by Trump in the White House last week.
It was not immediately certain whether the parties had made any progress on thornier questions about the futu…

Mailbag: Prescott, Pickens improving trust? https://www.dallascowboys.com/news/mailbag-prescott-pickens-improving-trust

On convergence structures in infinite graphs
Paulo S\'ergio Farias Magalh\~aes Junior, Renan Maneli Mezabarba, Rodrigo Santos Monteiro
https://arxiv.org/abs/2510.06336 https…

On convergence structures in infinite graphs
It is well known that a graph admits a natural closure operator defined on its vertex set, which also corresponds to a pretopology. In this paper, we describe the classical pretopology on a graph in terms of nets, with the aim of relating combinatorial properties to convergence properties.

Quantum Gravity and Effective Topology
J. van der Duin, R. Loll, M. Schiffer, A. Silva
https://arxiv.org/abs/2510.05695 https://arxiv.org/pdf/2510.05695

Quantum Gravity and Effective Topology
We introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a microscopic quantum geometry, generated nonperturbatively in terms of dynamical triangulations (DT), we compute the Betti numbers of a sequence of coarse-grained versions of the geometry as a function of the coarse-graining scale, yielding a characteristic ``topological finger print". We successfully implement this m…

The $\mathbb{A}^1$-Euler characteristic of symmetric powers
Louisa F. Br\"oring, Jesse Pajwani, Anna M. Viergever
https://arxiv.org/abs/2510.06922 https://

The $\mathbb{A}^1$-Euler characteristic of symmetric powers
The $\mathbb{A}^1$-Euler characteristic is a refinement in algebraic geometry of the classical topological Euler characteristic, which can be constructed using motivic homotopy theory. This invariant is a quadratic form rather than an integer, which carries a lot of information, but is difficult to compute in practice. In this survey, we discuss a conjectural way for computing the $\mathbb{A}^1$-Euler characteristic of the symmetric powers of a variety in terms of the $\mathbb{A}^1$-Euler chara…

String topology coproduct and Turaev cobracket on surfaces
Jana Hartenstein, Maximilian Stegemeyer
https://arxiv.org/abs/2510.05997 https://arxiv.org/pdf/2…

String topology coproduct and Turaev cobracket on surfaces
The string topology coproduct on the homology of the free loop space of a closed manifold induces a string cobracket on $S^1$-equivariant homology. We give a complete computation of the string topology coproduct for surfaces of higher genus by describing an algorithm which computes the coproduct of a cyclic word in terms of generators of the fundamental group of the surface. We further show that the string cobracket is the negative of the Turaev cobracket.

The Discord Hack is Every Users’ Worst Nightmare https://www.404media.co/the-discord-hack-is-every-users-worst-nightmare/

Mutual entropy and thermal area law in C*-algebraic quantum lattice systems
Hajime Moriya
https://arxiv.org/abs/2510.05823 https://arxiv.org/pdf/2510.05823…

Mutual entropy and thermal area law in C*-algebraic quantum lattice systems
We present a general definition of quantum mutual entropy for infinitely extended quantum spin and fermion lattice systems. Using this, we establish a thermal area law in these infinitely extended quantum systems. The proof is based on the local thermodynamical stability (LTS), a variational principle in terms of the conditional free energy. Our thermal area law in quasi-local C*-systems applies to general interactions with well-defined surface energies. We also examine the quantum mutual entro…

Painlev\'{e}-Gullstrand coordinates for Kiselev black holes
Bijan Bagchi, Sauvik Sen
https://arxiv.org/abs/2510.07263 https://arxiv.org/pdf/2510.07263

Painlevé-Gullstrand coordinates for Kiselev black holes
We investigate the implications provided by the modified Painlevé-Gullstrand coordinates in the context of quintessence for the Kiselev black hole. In this regard, we set up a fully static line element in terms of lapse and shift functions, apart from including the deformation parameter signaling deviation from the standard Painlevé-Gullstrand metric. We address two specific issues pertaining to the problems of radiation and dust furnished by the corresponding barotropic index parameter and s…

Radially weighted Backus- and Childress-type bounds for spherical dynamos
Ralf Kaiser, Andreas Tilgner
https://arxiv.org/abs/2510.05884 https://arxiv.org/p…

Radially weighted Backus- and Childress-type bounds for spherical dynamos
In MHD dynamo theory well-known necessary criteria for dynamo action are formulated in terms of lower bounds either on the maximum modulus of the velocity field (Childress-type) or the maximum strain of the velocity field (Backus-type). We generalize these criteria for spherical dynamos by introducing a radially varying weight $f(r)$. The corresponding {\em l}ower {\em b}ound Reynolds numbers $R_{lb}^C [f]$ (based on velocity) and $R_{lb}^B [f]$ (based on strain) are determined for two types of…

LinkedIn will use your data to train its AI unless you opt out now
https://www.malwarebytes.com/blog/news/2025/09/linkedin-will-use-your-data-to-train-its-ai-unless-you-opt-out-now

LinkedIn will use your data to train its AI unless you opt out now
LinkedIn has changed its Terms to include users data for Microsoft's AI training. Read here how you can opt out

Koopman Control Factorization: Data-Driven Convex Controller Design for a Class of Nonlinear Systems
Taha Ondogan, Ran Jing, Andrew P. Sabelhaus, Roberto Tron
https://arxiv.org/abs/2510.05359

Koopman Control Factorization: Data-Driven Convex Controller Design for a Class of Nonlinear Systems
Although Koopman operators provide a global linearization for autonomous dynamical systems, nonautonomous systems are not globally linear in the inputs. State (or output) feedback controller design therefore remains nonconvex in typical formulations, even with approximations via bilinear control-affine terms. We address this gap by introducing the Koopman Control Factorization, a novel parameterization of control-affine dynamical systems combined with a feedback controller defined as a linear c…

Convergence of the Immersed Boundary Method for an Elastically Bound Particle Immersed in a 2D Navier-Stokes Fluid Fluid
Alexandre X. Milewski (Courant Institute of Mathematical Sciences, New York, NY), Charles S. Peskin (Courant Institute of Mathematical Sciences, New York, NY)
https://arxiv.org/abs/2510.06586

Convergence of the Immersed Boundary Method for an Elastically Bound Particle Immersed in a 2D Navier-Stokes Fluid Fluid
The immersed boundary (IB) method has been used as a means to simulate fluid-membrane interactions in a wide variety of biological and engineering applications. Although the numerical convergence of the method has been empirically verified, it is theoretically unproved because of the singular forcing terms present in the governing equations. This paper is motivated by a specific variant of the IB method, in which the fluid is 2 dimensions greater than the dimension of the immersed structure. In…

Probing the elusive equilibrium crystal/liquid coexistence state in monodisperse hard-sphere colloids simulations
J. Galen Wang, Umesh Dhumal, Monica E. A. Zakhari, Roseanna N. Zia
https://arxiv.org/abs/2510.06506

Probing the elusive equilibrium crystal/liquid coexistence state in monodisperse hard-sphere colloids simulations
Entropically driven phase transitions in atomic and colloidal systems of monodisperse, purely repulsive hard spheres (MPRHS) are long-established in terms of distinct phases and phase envelopes via theory, simulations, and experiments. Frenkel proposed a mechanistic model for entropic phase separation in MPRHS, which lack obvious sources of competing entropy. He proposed that loss of long-range (configurational) entropy is offset by gain of short-range (vibrational) entropy - but its metastabil…

Weak Hopf algebra actions as fusion category actions
Alexander Betz
https://arxiv.org/abs/2510.07114 https://arxiv.org/pdf/2510.07114

Weak Hopf algebra actions as fusion category actions
This article develops the theory of fusion categories acting on algebras. We will demonstrate that weak Hopf algebra actions on algebras correspond to specific actions of fusion categories. As an application of this theory, we introduce a family of filtered actions of weak Hopf algebras on the path algebra, and for weak Hopf algebras whose representation categories are equivalent to $\text{PSU(2)}_{p-2}$, we describe all of the separable based fusion category actions in terms of weak Hopf algeb…

Tensor Product Decompositions, Limits in Excellent Filtrations, Affine Weyl Group Orbits, and Tableaux Counting
Laura Estivalez, Adriano Moura
https://arxiv.org/abs/2510.04697 h…

Tensor Product Decompositions, Limits in Excellent Filtrations, Affine Weyl Group Orbits, and Tableaux Counting
We express the outer multiplicities in the tensor products of two fundamental simple modules for an affine Kac-Moody algebra of type $A$ in terms of counting certain sets of multipartitions by exploring the stabilizing limits of certain excellent filtrations. This extends for all ranks a previously obtained result by Jakelić and the second author for rank $1$. The same outer multiplicities were previously computed by Misra and Wilson in terms of counting certain sets of tableaux. By comparing …

Chaos envelopes Russia, but the cruelty is constant and growing.
With a mindset that defines existence in terms of opposition to the west, the rules of warfare and decency have been disowned.
Giorgio reports from the frontlines in Ukraine, the trenches of the war on democracy.
Trump won't allow US media to report truth - they all bent their knees to the pathetic monster.
Giorgio is not bound by Trump's corruption, he is an Italian hero who puts his life on the…

The White of Surrender, and The Black of Infamy
Live from Ukraine 🇺🇦

Generalized Pseudo-Hopf Bifurcation: Limit Cycle Position and Period
Lucas Queiroz Arakaki, Douglas Novaes, Paulo Santana
https://arxiv.org/abs/2510.05269 https://

Generalized Pseudo-Hopf Bifurcation: Limit Cycle Position and Period
We investigate planar piecewise-smooth vector fields with a discontinuity line, focusing on the bifurcation of crossing limit cycles that arise when one of the vector fields is translated along the discontinuity set. We establish topological conditions under which such bifurcations occur and, under additional generic hypotheses, derive precise asymptotic expressions for both the position and the period of the resulting limit cycle in terms of the perturbation parameter. Our results extend the c…

Robust Inference for Convex Pairwise Difference Estimators
Matias D. Cattaneo, Michael Jansson, Kenichi Nagasawa
https://arxiv.org/abs/2510.05991 https://a…

Robust Inference for Convex Pairwise Difference Estimators
This paper develops distribution theory and bootstrap-based inference methods for a broad class of convex pairwise difference estimators. These estimators minimize a kernel-weighted convex-in-parameter function over observation pairs that are similar in terms of certain covariates, where the similarity is governed by a localization (bandwidth) parameter. While classical results establish asymptotic normality under restrictive bandwidth conditions, we show that valid Gaussian and bootstrap-based…

Mathematical Analysis for a Class of Stochastic Copolymerization Processes
David F. Anderson, Jingyi Ma, Praful Gagrani
https://arxiv.org/abs/2510.05383 https://

Mathematical Analysis for a Class of Stochastic Copolymerization Processes
We study a stochastic model of a copolymerization process that has been extensively investigated in the physics literature. The main questions of interest include: (i) what are the criteria for transience, null recurrence, and positive recurrence in terms of the system parameters; (ii) in the transient regime, what are the limiting fractions of the different monomer types; and (iii) in the transient regime, what is the speed of growth of the polymer? Previous studies in the physics literature h…

Trump pardons major drug traffickers despite his anti-drug rhetoric
Donald Trump — who campaigned against America’s worsening drug crisis and promised to crack down on the illegal flow of deadly drugs coming across the border
— has pardoned or granted clemency to at least 10 people for drug-related crimes since the beginning of his second term, according to a Washington Post analysis.
He also granted pardons or commutations to almost 90 others for drug-related crimes duri…

Trump pardons major drug traffickers despite his anti-drug rhetoric
The president has granted clemency to about 100 people accused of drug-related crimes during his two terms in office, a Post analysis shows.

Influence of coil geometry and coil-plasma distance on the magnetic field approximation error
Wadim Gerner
https://arxiv.org/abs/2510.06773 https://arxiv.o…

Influence of coil geometry and coil-plasma distance on the magnetic field approximation error
We investigate analytically two questions: 1) How does the coil geometry influence the effect of electric current noise on the induced magnetic field? 2) How does the coil-plasma distance influence our ability to control the pointwise magnetic field error in terms of the average magnetic field error? Regarding (1), we argue that the main geometric quantities of interest are the notion of reach and the volume of the region enclosed by the coils. Our main finding is a quantitative formula w…

On the comparison of ultradifferentiable weight function settings
Gerhard Schindl
https://arxiv.org/abs/2510.05469 https://arxiv.org/pdf/2510.05469

On the comparison of ultradifferentiable weight function settings
We summarize, revisit and compare different notions of ultradifferentiable settings defined in terms of weight functions. More precisely, we emphasize the difference between the original Beurling-Björck-setting, when measuring the growth of the Fourier-transform, and the more recent approach by Braun, Meise and Taylor, when controlling the growth of the derivatives similarly like in the weight sequence framework. For the equality of both settings the convexity of the defining weight function i…

DiffSDA: Unsupervised Diffusion Sequential Disentanglement Across Modalities
Hedi Zisling, Ilan Naiman, Nimrod Berman, Supasorn Suwajanakorn, Omri Azencot
https://arxiv.org/abs/2510.05717

DiffSDA: Unsupervised Diffusion Sequential Disentanglement Across Modalities
Unsupervised representation learning, particularly sequential disentanglement, aims to separate static and dynamic factors of variation in data without relying on labels. This remains a challenging problem, as existing approaches based on variational autoencoders and generative adversarial networks often rely on multiple loss terms, complicating the optimization process. Furthermore, sequential disentanglement methods face challenges when applied to real-world data, and there is currently no es…

'Pfade und Wege' / 'paths and ways' (? Or trails 🤔) #FotoVorschlag
Yes, that's a topic for me again 😉
This is from a trail that I did a couple of times already in different seasons. And this sections just offers such a cool view to the south.
The trail itself varies quite a bit in all terms - which I totally like. Well - enjoy!

Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
Claudio Iacovelli, Josep Cabedo, Leticia Tarruell, Alessio Celi
https://arxiv.org/abs/2510.06089 http…

Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
Topological gauge theories constitute a framework for understanding strongly correlated quantum matter in terms of weakly interacting composite degrees of freedom. Their topological properties become evident when these theories are realized on a space of non-trivial topology. Here, we propose a scheme to realize a one-dimensional topological gauge theory, the chiral BF theory, on a ring geometry. We obtain such a theory by dimensionally reducing Chern-Simons theory on a disk to the so-called ch…

Nonlinear Optical Response in Pseudo-Hermitian Systems at Steady State
S. Sajad Dabiri, Reza Asgari
https://arxiv.org/abs/2510.06580 https://arxiv.org/pdf/…

Nonlinear Optical Response in Pseudo-Hermitian Systems at Steady State
We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact equivalence through generalized sum rules and Berry connection identities by formulating the nonlinear response in terms of a biorthogonal density matrix. Utilizing the formalism on parity-time symmetric two-level systems reveals nonlinear phenomena that are n…

SHarmonic: A fast and accurate implementation of spherical harmonics for electronic-structure calculations
Xavier Andrade, Jacopo Simoni, Yuan Ping, Tadashi Ogitsu, Alfredo A. Correa
https://arxiv.org/abs/2510.05282

SHarmonic: A fast and accurate implementation of spherical harmonics for electronic-structure calculations
The authors present SHarmonic, a new implementation of the spherical harmonics targeted for electronic-structure calculations. Their approach is to use explicit formulas for the harmonics written in terms of normalized Cartesian coordinates. This approach results in a code that is as precise as other implementations while being at least one order of magnitude more computationally efficient. The library can run on graphics processing units (GPUs) as well, achieving an additional order of magnitu…

Quantum Reverse Shannon Theorem Simplified
Gilad Gour
https://arxiv.org/abs/2510.04552 https://arxiv.org/pdf/2510.04552

Quantum Reverse Shannon Theorem Simplified
We revisit the quantum reverse Shannon theorem, a central result in quantum information theory that characterizes the resources needed to simulate quantum channels when entanglement is freely available. We derive a universal additive upper bound on the smoothed max-information in terms of the sandwiched Rényi mutual information. This bound yields tighter single-shot results, eliminates the need for the post-selection technique, and leads to a conceptually simpler proof of the quantum reverse S…

Updates to old posts:
1. https://adrianroselli.com/2020/01/defining-toast-messages.html#Update07 links to Adam Silver’s post on toasts:

Defining ‘Toast’ Messages
In current user interface terms a toast is a message that appears on the screen; it is often short, often appears only briefly, and often animates up from the bottom (like a piece of ghostly yet precisely-crafted toast), though other directions and a fade-in/-out is common. The Name When Google…

On the global linear Zarankiewicz problem
Pantelis E. Eleftheriou, Aris Papadopoulos
https://arxiv.org/abs/2510.03546 https://arxiv.org/pdf/2510.03546

On the global linear Zarankiewicz problem
The `global' Zarankiewicz problem for hypergraphs asks for an upper bound on the number of edges of a finite $r$-hypergraph $V$ in terms of the number $|V|$ of its vertices, assuming the edge relation is induced by a fixed $K_{k, \dots, k}$-free $r$-hypergraph $E$, for some $k\in\mathbb N$. In [4], such bounds of size $O(|V|^{r-1})$ were achieved for a semilinear $E$, namely, definable in a linear o-minimal structure. We establish the same bounds in five new settings: when $…

Mailbag: Prescott, Pickens improving trust? https://www.dallascowboys.com/news/mailbag-prescott-pickens-improving-trust

AI-Driven Grading and Moderation for Collaborative Projects in Computer Science Education
Songmei Yu, Andrew Zagula
https://arxiv.org/abs/2510.03998 https://

AI-Driven Grading and Moderation for Collaborative Projects in Computer Science Education
Collaborative group projects are integral to computer science education, as they foster teamwork, problem-solving skills, and industry-relevant competencies. However, assessing individual contributions within group settings has long been a challenge. Traditional assessment strategies, such as the equal distribution of grades or subjective peer assessments, often fall short in terms of fairness, objectivity, and scalability, particularly in large classrooms. This paper introduces a semi-automate…

Sum of elements preceding records in set partitions
Walaa Asakly, Noor Kezil
https://arxiv.org/abs/2510.06521 https://arxiv.org/pdf/2510.06521

Sum of elements preceding records in set partitions
In this paper, we aim to derive an explicit formula for the total number of elements preceding records over all set partitions of $[n]$ with exactly $k$ blocks, as well as an asymptotic estimate for the total sum of elements preceding records in all set partitions of $[n]$, expressed in terms of Bell numbers. To achieve this, we analyze the generating function that enumerates set partitions of $[n]$ according to this statistic, which we denote by $\sumelements$.

After tonight's election results, I predict a lot of GOP retirement announcements as the mid-terms approach.

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
Danylo Radchenko, Qihang Sun
https://arxiv.org/abs/2510.04873 https://arxiv.…

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
We give a construction of radial Fourier interpolation formulas in dimensions 3 and 4 using Maass--Poincaré type series. As a corollary we obtain explicit formulas for the basis functions of these interpolation formulas in terms of what we call real-variable Kloosterman sums, which were previously introduced by Stoller. We also improve the bounds on the corresponding basis functions $a_{n,d}(x)$, $d=3,4$, for fixed $x$, in terms of the index $n$.

Null reduction and dynamical realization of Carrollian conformal symmetries
Ashis Saha, Rabin Banerjee, Sunandan Gangopadhyay
https://arxiv.org/abs/2510.06896 https://

Null reduction and dynamical realization of Carrollian conformal symmetries
We start from a Lorentzian action in a deformed light-cone background and applying the method of null reduction leads to a Carrollian action in one lower spacetime dimensions. We also identify the correct light-cone definitions of the symmetry generators and their dynamical forms in terms of the fields and take the $c\rightarrow0$ limit. It is observed that these generators produces the known kinematic Carrollian conformal algebraic commutation relations.

Moises-Light: Resource-efficient Band-split U-Net For Music Source Separation
Yun-Ning (Amy), Hung, Igor Pereira, Filip Korzeniowski
https://arxiv.org/abs/2510.06785 https://…

Moises-Light: Resource-efficient Band-split U-Net For Music Source Separation
In recent years, significant advances have been made in music source separation, with model architectures such as dual-path modeling, band-split modules, or transformer layers achieving comparably good results. However, these models often contain a significant number of parameters, posing challenges to devices with limited computational resources in terms of training and practical application. While some lightweight models have been introduced, they generally perform worse compared to their lar…

Disjointed Bills can't get back on script in surprising loss to Patriots https://www.nytimes.com/athletic/6693211/2025/10/06/disjointed-bills-surprising-loss-patriots/

Sensing Performance Analysis in Cooperative Air-Ground ISAC Networks for LAE
Yihang Jiang, Xiaoyang Li, Guangxu Zhu, Xiaowen Cao, Kaifeng Han, Bingpeng Zhou, Xinyi Wang
https://arxiv.org/abs/2510.03642

Sensing Performance Analysis in Cooperative Air-Ground ISAC Networks for LAE
To support the development of low altitude economy, the air-ground integrated sensing and communication (ISAC) networks need to be constructed to provide reliable and robust communication and sensing services. In this paper, the sensing capabilities in the cooperative air-ground ISAC networks are evaluated in terms of area radar detection coverage probability under a constant false alarm rate, where the distribution of aggregated sensing interferences is analyzed as a key intermediate result. C…

Optimal Zeroth-Order Bilevel Optimization
Alireza Aghasi, Jeongyeol Kwon, Saeed Ghadimi
https://arxiv.org/abs/2510.03646 https://arxiv.org/pdf/2510.03646…

Optimal Zeroth-Order Bilevel Optimization
In this paper, we develop zeroth-order algorithms with provably (nearly) optimal sample complexity for stochastic bilevel optimization, where only noisy function evaluations are available. We propose two distinct algorithms: the first is inspired by Jacobian/Hessian-based approaches, and the second builds on using a penalty function reformulation. The Jacobian/Hessian-based method achieves a sample complexity of $\mathcal{O}(d^3/ε^2)$, which is optimal in terms of accuracy $ε$, albeit with po…

#WritersCoffeeClub Oct-Nov
31. In terms of writing, how did this month go for you?
1. What do you need to amplify in your work?
2. What makes character growth believable for you?
---
31. As in writing "writing", as bad as usual. That probably won't change in the next months. Or years
In terms of my ongoing translation, pretty well. Steadily growin…

How could you award the #NobelPeacePrize to an autocrat like Darth #Trump, who renamed the Department of Defense the Department of War, wages war against his own people and threatens other countries with annexation (Canada, Panama and Greenland), and is on friendly terms with war criminals like

Dyonically charged black holes in Weyl conformal gravity
Reinosuke Kusano, Miguel Yulo Asuncion, Keith Horne
https://arxiv.org/abs/2510.05701 https://arxiv…

Dyonically charged black holes in Weyl conformal gravity
We present a parametric study of the spacetime structures in the dyonic Reissner-Nordström solution in Weyl's conformal theory of gravity. We derive expressions for photon sphere radii and horizons for this metric in terms of the conformal gravity parameters, from which we then obtain analytic formulae for extremal limits and Hawking temperatures. Due to the surprising lack of the inverse quadratic $1/r^2$ term in this fourth-order metric, there is no guarantee for the innermost horizon of a b…

Coordinated Beamforming for Networked Integrated Communication and Multi-TMT Localization
Meidong Xia, Zhenyao He, Wei Xu, Yongming Huang, Derrick Wing Kwan Ng, Naofal Al-Dhahir
https://arxiv.org/abs/2510.04600

Coordinated Beamforming for Networked Integrated Communication and Multi-TMT Localization
Networked integrated sensing and communication (ISAC) has gained significant attention as a promising technology for enabling next-generation wireless systems. To further enhance networked ISAC, delegating the reception of sensing signals to dedicated target monitoring terminals (TMTs) instead of base stations (BSs) offers significant advantages in terms of sensing capability and deployment flexibility. Despite its potential, the coordinated beamforming design for networked integrated communica…

A characterization of snowflakes via rectifiability
Emanuele Caputo, Nicola Cavallucci
https://arxiv.org/abs/2510.03196 https://arxiv.org/pdf/2510.03196

A characterization of snowflakes via rectifiability
We prove a generalization of Tyson-Wu's characterization of metric spaces biLipschitz equivalent to snowflakes to every metric space, by removing compactness, doubling and embeddability assumptions. We also characterize metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non-trivial metric $1$-currents in every ultralimit, or equivalently in terms of purely $1$-unrectifiability of every ultralimit. Finally, we discuss some applications and examples.

Product-Quantised Image Representation for High-Quality Image Synthesis
Denis Zavadski, Nikita Philip Tatsch, Carsten Rother
https://arxiv.org/abs/2510.03191 https://

Product-Quantised Image Representation for High-Quality Image Synthesis
Product quantisation (PQ) is a classical method for scalable vector encoding, yet it has seen limited usage for latent representations in high-fidelity image generation. In this work, we introduce PQGAN, a quantised image autoencoder that integrates PQ into the well-known vector quantisation (VQ) framework of VQGAN. PQGAN achieves a noticeable improvement over state-of-the-art methods in terms of reconstruction performance, including both quantisation methods and their continuous counterparts. …

A representation of Milnor's triple linking number by chord diagrams and doodle invariants
Ryosuke Hirata
https://arxiv.org/abs/2510.04362 https://arxi…

A representation of Milnor's triple linking number by chord diagrams and doodle invariants
From the work of X. S. Lin and Z. Wang, it follows that degree two knot invariant admits a decomposition into the sum of a Gauss diagram count and a term involving Arnold invariants. In this paper we establish an analogous description for Milnor's triple linking number - likewise of degree two - showing that it can be represented in terms of counts of certain chord diagrams together with doodle invariants.

Dynamic Regret Bounds for Online Omniprediction with Long Term Constraints
Yahav Bechavod, Jiuyao Lu, Aaron Roth
https://arxiv.org/abs/2510.07266 https://a…

Dynamic Regret Bounds for Online Omniprediction with Long Term Constraints
We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a collection of downstream decision makers. Each decision maker has their own utility function, as well as a vector of constraint functions, each mapping their actions and an adversarially selected state to reward or constraint violation terms. The downstream dec…

Day 12: Laura Zimmerman
We're back to a YA author here, and Zimmerman has been floating in my list of people to include since the start. I've read "My Eyes are Up Here" about dealing with misogyny and just general logistics while having very large breasts in high school. It's both engaging & educational, but also very well written in terms of the pacing, comedic moments, and turns of phrase. That led me to check out "Just Do This One Thing For Me" which is extremely dark, *incredibly hilarious*, and so thick with dramatic irony it had me constantly amused. It's also really touching at times, and a beautiful ode to the bonds of siblinghood that made me cry as well as laugh. I won't spoil the plot at all, but it's one of the best YA books I've ever read.
#20AuthorsNoMen

A Complement to Neural Networks for Anisotropic Inelasticity at Finite Strains
Hagen Holthusen, Ellen Kuhl
https://arxiv.org/abs/2510.04187 https://arxiv.o…

A Complement to Neural Networks for Anisotropic Inelasticity at Finite Strains
We propose a complement to constitutive modeling that augments neural networks with material principles to capture anisotropy and inelasticity at finite strains. The key element is a dual potential that governs dissipation, consistently incorporates anisotropy, and-unlike conventional convex formulations-satisfies the dissipation inequality without requiring convexity. Our neural network architecture employs invariant-based input representations in terms of mixed elastic, inelastic and struct…

Generalization and the Rise of System-level Creativity in Science
Hongbo Fang, James Evans
https://arxiv.org/abs/2510.03240 https://arxiv.org/pdf/2510.0324…

Generalization and the Rise of System-level Creativity in Science
Innovation ecosystems require careful policy stewardship to drive sustained advance in human health, welfare, security and prosperity. We develop new measures that reliably decompose the influence of innovations in terms of the degree to which each represents a field-level foundation, an extension of foundational work, or a generalization that synthesizes and modularizes contributions from distant fields to catalyze combinatorial innovation. Using 23 million scientific works, we demonstrate tha…

"Qualcomm’s acquisition of Arduino and the company’s new Terms of Service sparks major concerns in the open source community over privacy and terms of service. What will happen to the Arduino open hardware and how does this effect Linux users?"
#Enshittification

Intrinsic cause-effect power: the tradeoff between differentiation and specification
William G. P. Mayner, William Marshall, Giulio Tononi
https://arxiv.org/abs/2510.03881 https…

Intrinsic cause-effect power: the tradeoff between differentiation and specification
Integrated information theory (IIT) starts from the existence of consciousness and characterizes its essential properties: every experience is intrinsic, specific, unitary, definite, and structured. IIT then formulates existence and its essential properties operationally in terms of cause-effect power of a substrate of units. Here we address IIT's operational requirements for existence by considering that, to have cause-effect power, to have it intrinsically, and to have it specifically, substr…

My friend — who *works* for King County — asked Google, back in September, which Council members are up for re-election this November.
Google told her that the election in November 2025 had ALREADY TAKEN PLACE.

Ethical, legal, and sociocultural considerations in neural device explantation: a systematic review https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2025.1568800/full Again limited by choice of search terms: nothing &quo…

Frontiers | Ethical, legal, and sociocultural considerations in neural device explantation: a systematic review
IntroductionImplantable neural devices, including brain–computer interfaces and spinal cord stimulators, hold significant therapeutic promise for conditions ...

Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems
Paulo Akira F. Enabe, Rodrigo Provasi
https://arxiv.org/abs/2510.06653

Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems
This paper presents a mass-lumped Virtual Element Method (VEM) with explicit Strong Stability-Preserving Runge-Kutta (SSP-RK) time integration for two-dimensional parabolic problems on general polygonal meshes. A diagonal mass matrix is constructed via row-sum operations combined with flooring to ensure uniform positivity. Stabilization terms vanish identically under row summation, so the lumped weights derive solely from the $L^2$ projector and are computable through a small polynomial system …

Estimating Treatment Effects Under Bounded Heterogeneity
Soonwoo Kwon, Liyang Sun
https://arxiv.org/abs/2510.05454 https://arxiv.org/pdf/2510.05454

Estimating Treatment Effects Under Bounded Heterogeneity
Researchers often use specifications that correctly estimate the average treatment effect under the assumption of constant effects. When treatment effects are heterogeneous, however, such specifications generally fail to recover this average effect. Augmenting these specifications with interaction terms between demeaned covariates and treatment eliminates this bias, but often leads to imprecise estimates and becomes infeasible under limited overlap. We propose a generalized ridge regression est…

A Poisson-Alekseev-Gr\"obner formula through Malliavin calculus for Poisson random integrals
Paul Maurer, J\'er\'emy Zurcher
https://arxiv.org/abs/2510.05300 https:…

A Poisson-Alekseev-Gröbner formula through Malliavin calculus for Poisson random integrals
In this paper, we establish an Alekseev--Gröbner formula for stochastic differential equations (SDEs) driven by a Poisson random measure, which express the global error between a functional of two processes solution of SDEs started at the same initial condition, in terms of the infinitesimal error (i.e, the difference between the SDEs coefficients). In particular, we consider the situation where the flow process is only assumed to be jointly stochastically continuous with respect to space and …

Exploring Quantum Spacetime with Topological Data Analysis
J. van der Duin, R. Loll, M. Schiffer, A. Silva
https://arxiv.org/abs/2510.05693 https://arxiv.o…

Exploring Quantum Spacetime with Topological Data Analysis
In a novel application of the tools of topological data analysis (TDA) to nonperturbative quantum gravity, we introduce a new class of observables that allows us to assess whether quantum spacetime really resembles a ``quantum foam" near the Planck scale. The key idea is to investigate the Betti numbers of coarse-grained path integral histories, regularized in terms of dynamical triangulations, as a function of the coarse-graining scale. In two dimensions our analysis exhibits the well-known fr…

FocusMed: A Large Language Model-based Framework for Enhancing Medical Question Summarization with Focus Identification
Chao Liu, Ling Luo, Tengxiao Lv, Huan Zhuang, Lejing Yu, Jian Wang, Hongfei Lin
https://arxiv.org/abs/2510.04671

FocusMed: A Large Language Model-based Framework for Enhancing Medical Question Summarization with Focus Identification
With the rapid development of online medical platforms, consumer health questions (CHQs) are inefficient in diagnosis due to redundant information and frequent non-professional terms. The medical question summary (MQS) task aims to transform CHQs into streamlined doctors' frequently asked questions (FAQs), but existing methods still face challenges such as poor identification of question focus and model hallucination. This paper explores the potential of large language models (LLMs) in the MQS …

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
Darryl D. Holm, Ruiao Hu, Hanchun Wang
https://arxiv.org/abs/2510.02577 https://

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
The BKBK system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter $κ$. These terms also make BKBK completely integrable as a Hamiltonian system. Remarkably, when $κ=i/2$ the BKBK system may be transformed into the focusing nonlinear Schrödinger (NLS). Thus, the BKBK system with its real parameter $κ$ is complement…

Motions of spinning particles in the Kerr-Newman black hole exterior and gravitational wave emission. I. Periodic orbits
Yi-Ping Chen, Tien Hsieh, Da-Shin Lee
https://arxiv.org/abs/2510.05603

Motions of spinning particles in the Kerr-Newman black hole exterior and gravitational wave emission. I. Periodic orbits
The motion of a spinning particle in the exterior of the Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation through the spin-curvature coupling to the leading order in its spin. In terms of conserved quantities, one can transform the dynamical equations in the Mino time into an integral form for both aligned and misaligned spins with orbital motion. These non-geodesic equations can be solved analytically with the so…

Several sufficient conditions for projective hypersurfaces to be GIT (semi)stable
Xuancong He
https://arxiv.org/abs/2510.03695 https://arxiv.org/pdf/2510.0…

Several sufficient conditions for projective hypersurfaces to be GIT (semi)stable
In this paper, I present some sufficient conditions for projective hypersurfaces to be GIT (semi-)stable. These conditions will be presented in terms of dimension and degree of the hypersurfaces, dimension of the singular locus and multiplicities of the singular points. When singularities of the hypersurface are isolated and all have multiplicity 2, we can judge its stability via the ranks of Hessian matrices at these singular points.

WhatsApp updates its Business API terms to ban general-purpose chatbots starting January 15, 2026, affecting WhatsApp assistants of OpenAI, Perplexity, others (Ivan Mehta/TechCrunch)
https://techcrunch.com/2025/10/18/whatssapp-…

WhatssApp changes its terms to bar general purpose chatbots from its platform | TechCrunch
WhatsApp is banning general purpose chatbots from using its Business API

A Universal Moments-Only Bound for Cumulants
Jiechen Zhang
https://arxiv.org/abs/2510.05739 https://arxiv.org/pdf/2510.05739…

A Universal Moments-Only Bound for Cumulants
We establish a simple, universal inequality that bounds the $n$-th cumulant of a real-valued random variable using only its $n$-th (absolute or central) moment. Specifically, for any integer $n \ge 1$, the $n$-th cumulant $κ_n(X)$ satisfies \[ \lvert κ_n(X) \rvert \;\le\; C_n\, \mathbb{E}\lvert X-\mathbb{E}X\rvert^{\,n}, \] with an alternative bound in terms of $\mathbb{E}\lvert X\rvert^{\,n}$ in the uncentered form. The coefficient $C_n$ is derived from the combinatorial structure of the mom…

A Sequential Quadratic Programming Perspective on Optimal Control
Abhijeet, Suman Chakravorty
https://arxiv.org/abs/2510.03475 https://arxiv.org/pdf/2510.0…

A Sequential Quadratic Programming Perspective on Optimal Control
This paper offers a unified perspective on different approaches to the solution of optimal control problems through the lens of constrained sequential quadratic programming. In particular, it allows us to find the relationships between Newton's method, the iterative LQR (iLQR), and Differential Dynamic Programming (DDP) approaches to solve the problem. It is shown that the iLQR is a principled SQP approach, rather than simply an approximation of DDP by neglecting the Hessian terms, to solve opt…

Lions agree to terms with DE Aidan Hutchinson on four-year extension https://www.nfl.com/news/lions-aidan-hutchinson-four-year-extension

Pulsar timing array analysis in a Legendre polynomial basis
Bruce Allen, Arian L. von Blanckenburg, Ken D. Olum
https://arxiv.org/abs/2510.05913 https://ar…

Pulsar timing array analysis in a Legendre polynomial basis
We use Legendre polynomials (previously discussed in this context by Pitrou and Cusin [1]) to model signals in pulsar timing arrays (PTA). These replace the (Fourier mode) basis of trigonometric functions normally used for data analysis. The Legendre basis makes it simpler to incorporate pulsar modeling effects, which remove constant-, linear-, and quadratic-in-time terms from pulsar timing residuals. In the Legendre basis, this zeroes the amplitudes of the the first three Legendre polynomials.…

Coproducts for affine super-Yangian and Weyl groupoid action
Vasiliy Volkov, Vladimir Stukopin
https://arxiv.org/abs/2510.04221 https://arxiv.org/pdf/2510.…

Coproducts for affine super-Yangian and Weyl groupoid action
For affine special linear superalgebra $\widehat{sl}(m|n, Π)$ defined by an arbitrary system of simple roots $Π$ we define the affine super Yangian $Y_{\hbar}(\widehat{sl}(m|n, Π))$ as Hopf superalgebra which is a quantization of superbialgebra $\widehat{sl}(m|n, Π)[t]$ and describe super Yangian in terms of minimalistic system of generators. We consider Drinfeld presentation for $Y^D_{\hbar}(\widehat{sl}(m|n, Π))$ and prove that these two presentations are isomorphic a…

Estimates of the first Dirichlet eigenvalue of graphs
Huiqiu Lin, Lianping Liu, Zhe You, Da Zhao
https://arxiv.org/abs/2510.04557 https://arxiv.org/pdf/251…

Estimates of the first Dirichlet eigenvalue of graphs
Inspired by the Li--Yau eigenvalue-diameter estimates, we investigate lower bounds for the first Dirichlet eigenvalue in terms of the diameter (or inscribed radius) of a graph. Let $G = (V, E)$ be a graph with boundary $B$. Assume that the interior $Ω= V \setminus B$ is connected. Let $r$ be the inscribed radius of $(G, B)$ and $d$ be the maximum degree of $G$. We prove that $$λ_1(G, B) \geq \frac{d - 1}{r d^r},$$ which can be viewed as an analogue of the Lin--Yau bound and the Meng--Lin boun…

Ring stacks conjecturally related to the stacks $BT_n^{G,\mu}$
Vladimir Drinfeld
https://arxiv.org/abs/2510.04958 https://arxiv.org/pdf/2510.04958

Ring stacks conjecturally related to the stacks $BT_n^{G,μ}$
Using the ring space of sheared Witt vectors, we define certain ring stacks. We suggest several models for the ring stacks. Motivation: there is a conjectural description of the stack of n-truncated Barsotti-Tate groups and its Shimurian analogs in terms of the new ring stacks.

Validity condition of normal form transformation for the $\beta$-FPUT system
Boyang Wu, Miguel Onorato, Zaher Hani, Yulin Pan
https://arxiv.org/abs/2510.04831 https://

Validity condition of normal form transformation for the $β$-FPUT system
In this work, we provide a validity condition for the normal form transformation to remove the non-resonant cubic terms in the $β$-FPUT system. We show that for a wave field with random phases, the normal form transformation is valid by dominant probability if $β\ll 1/N^{1+ε}$, with $N$ the number of masses and $ε$ an arbitrarily small constant. To obtain this condition, a bound is needed for a summation in the transformation equation, which we prove rigorously in the paper. The condition a…

Sums of the floor function related to class numbers of imaginary quadratic fields
Marc Chamberland, Karl Dilcher
https://arxiv.org/abs/2510.04387 https://a…

Sums of the floor function related to class numbers of imaginary quadratic fields
A curious identity of Bunyakovsky (1882), made more widely known by Pólya and Szeg{\H o} in their ``Problems and Theorems in Analysis", gives an evaluation of a sum of the floor function of square roots involving primes $p\equiv 1\pmod{4}$. We evaluate this sum also in the case $p\equiv 3\pmod{4}$, obtaining an identity in terms of the class number of the imaginary quadratic field ${\mathbb Q}(\sqrt{-p})$. We also consider certain cases where the prime $p$ is replaced by a composite integer. C…

Self-Improvement in Multimodal Large Language Models: A Survey
Shijian Deng, Kai Wang, Tianyu Yang, Harsh Singh, Yapeng Tian
https://arxiv.org/abs/2510.02665 https://

Self-Improvement in Multimodal Large Language Models: A Survey
Recent advancements in self-improvement for Large Language Models (LLMs) have efficiently enhanced model capabilities without significantly increasing costs, particularly in terms of human effort. While this area is still relatively young, its extension to the multimodal domain holds immense potential for leveraging diverse data sources and developing more general self-improving models. This survey is the first to provide a comprehensive overview of self-improvement in Multimodal LLMs (MLLMs). …

Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory
Rebecca Carter, M. Ram Murty
https://arxiv.org/abs/2510.03537 https://arxi…

Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory
After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive sub-exponential decay error terms in the ergodic theorem of Markov chains. Finally, we apply these results to give estimates for the diameters of directed graphs.

The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fabio Di Cosmo, Vladislav G. Kupriyanov, Patrizia Vitale
https://arxiv.org/abs/2510.04858 https://

The electromagnetic field in Poisson gauge theory: the groupoidal approach
We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in terms of gauge invariant momenta is proved to be equivalent to covariant and invariant tensors of a local symplectic groupoid representing a symplectic realization of the Poisson manifold. A Poisson Chern-Simons model is then proposed and its equations of motion are shortly discussed.

Starting Jan. 1, New Hampshire’s Medicaid program will stop covering GLP-1 drugs
— Wegovy, Zepbound, and others
— for weight loss.
“We looked at the way that the state was supporting coverage for GLP-1 medicines
and found that this was a fairly significant cost driver,”
Gov. Kelly Ayotte told reporters on Wednesday.
“And so we looked at the medically necessary reasons for it in terms of those who had pre-existing conditions
and made the decision work…

The smallest eigenvalue of $\beta$-Laguerre and $\beta$-Jacobi ensembles and multivariate orthogonal polynomials
Sungwoo Jeong
https://arxiv.org/abs/2510.04422 https://

The smallest eigenvalue of $β$-Laguerre and $β$-Jacobi ensembles and multivariate orthogonal polynomials
We study the smallest eigenvalue statistics of the $β$-Laguerre and $β$-Jacobi ensembles. Using Kaneko's integral formula, we show that the smallest eigenvalue marginal density and distribution functions of the two ensembles for any $β>0$ can be represented in terms of multivariate Laguerre and Jacobi polynomials evaluated at a multiple of the identity, provided that the exponent of $x$ in the Laguerre and Jacobi weights is an integer. These representations are readily computable in explicit…

Redicoloring some classes of circulant tournaments
Narda Cordero-Michel, Mika Olsen
https://arxiv.org/abs/2510.04990 https://arxiv.org/pdf/2510.04990

Redicoloring some classes of circulant tournaments
Given a digraph $D$ with no loops, the \textit{dicoloring graph} of $D$, denoted by $\mathcal{D}_k(D)$, is the graph whose vertices are the acyclic $k$-colorings of $D$ and two colorings are adjacent in $\mathcal{D}_k(D)$ if they differ in color on exactly one vertex. In this paper, we prove that there is no expression $ϕ(\vecχ)$ in terms of the dichromatic number $\vecχ$, such that the graph $\mathcal{D}_k(D)$ is connected for all graphs $D$ and integers $k\geq ϕ(\vecχ)$. We give conditio…

Blackish Holes with Stringy Backreaction
Elena C\'aceres, Suman Das, Arnab Kundu, Harita Palani Balaji
https://arxiv.org/abs/2510.03498 https://arxiv.o…

Blackish Holes with Stringy Backreaction
Recent studies have demonstrated that an $\textit{ad hoc}$ Dirichlet boundary condition, placed outside but close to an event horizon, for probe degrees of freedom in an otherwise black hole geometry is capable of capturing non-trivial level-correlations of the corresponding spectrum of the probe sector. Much of the interesting physics stems from a hierarchy of scales that is present in the quantum spectrum, in terms of two quantum numbers that characterize it. In this work, we establish an exp…

Three liberal justices won another 10-year term on the Pennsylvania supreme court,
giving Democrats a key victory and allowing them to maintain their 5-2 advantage on a vital body that could issue important rulings on abortion and voting rights in an important battleground state in the coming years.

Regular black holes and boson stars in semiclassical gravity
Irfan Javed, Viqar Husain
https://arxiv.org/abs/2510.03935 https://arxiv.org/pdf/2510.03935

Regular black holes and boson stars in semiclassical gravity
We use a Hamiltonian version of the semiclassical Einstein equation to study classical gravity coupled to a quantum scalar field with potential in spherical symmetry. The system is defined by effective constraints where the matter terms are replaced by their expectation values in a quantum state. For the static case, we find numerically that the resulting equations admit asymptotically flat, de Sitter, and anti-de Sitter boson star and regular black hole solutions. We also show that the Bardeen…

The Wave Function of the Universe and Inflation
Gerasimos Kouniatalis
https://arxiv.org/abs/2510.04775 https://arxiv.org/pdf/2510.04775

The Wave Function of the Universe and Inflation
We develop a quantum-cosmological framework in which the inflationary potential emerges from the structure of the wave function of the universe rather than being postulated. Starting from the Wheeler-DeWitt equation for a flat Friedmann-Robertson-Walker minisuperspace, we express the wave function in terms of an amplitude and a phase and, in a semiclassical regime where the expansion dominates the field's evolution, separate these into purely geometric and purely field-dependent pieces. This yi…