Tootfinder

Running pre-Christmas errands, a relative who likes cannabis wanted to stop at the dispo. I strolled in too, and at the checkout counter I noticed a sign about Tuesdays. Couldn’t resist, told the relative to consider this part of their Christmas present and pulled out my credit card.
Just so I could say I got the Senior Citizens discount on a bag of weed.
Best of the season to everyone.

#Brooks der Hersteller von einigen der schönsten Fahrradtaschen und -sätteln haben zur Open Factory und einem #CustomBike-Event eingeladen. Der #Radavist hat die Fotos
BRITISH STEEL: BIKES OF THE BRO…

Bikes of the Brooks England Open Factory: British Steel
As part of their Open Factory event, Brooks England invited a selection of builders and small British bike brands. Some of the longest-running brands in cycling had the opportunity to show alongside relative newcomers. Buckle up for another ride with our European correspondent, Petor Georgallou, and enjoy the show... Moulton NS Safari The first bike that caught my eye is among the most unique available: a Moulton NS Safari, a space-framed, stainless steel, full-suspension, small-wheeled road bi…

On Estimating the Quantum Tsallis Relative Entropy
Jinge Bao, Minbo Gao, Qisheng Wang
https://arxiv.org/abs/2510.00752 https://arxiv.org/pdf/2510.00752

On Estimating the Quantum Tsallis Relative Entropy
The relative entropy between quantum states quantifies their distinguishability. The estimation of certain relative entropies has been investigated in the literature, e.g., the von Neumann relative entropy and sandwiched Rényi relative entropy. In this paper, we present a comprehensive study of the estimation of the quantum Tsallis relative entropy. We show that for any constant $α\in (0, 1)$, the $α$-Tsallis relative entropy between two quantum states of rank $r$ can be estimated with sampl…

Can You Hear Us?: Five Voices from Gaza – Hot Press Magazine, Ireland
https://www.hotpress.com/opinion/can-you-hear-us-five-voices-from-gaza-23113207
The five voices are those of my partner at Gaza Verified, @…

Can You Hear Us?: Five Voices from Gaza
It is hard for us, here in the relative comfort and security of Ireland, to even begin to imagine what is has been – and what it is – like in Gaza, where...

Raiders report: Relative of franchise royalty finally finds end zone https://www.reviewjournal.com/sports/raiders/raiders-report-relative-of-franchise-royalty-finally-finds-end-zone-3592291/

Helmut Barz fragt: Was, wenn Wähler und Wählerinnen gar nicht ihren eigenen Vorteil maximieren wollen, sondern den Nachteil anderer? Sein Artikel erklärt, wie relative Deprivation und Statusangst die Demokratie untergraben – und warum wir dringend ein neues „Wir“ brauchen. #Demokratie #Sozialpsychologie

Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space
Xinyue Yu, Hayden Schaeffer
https://arxiv.org/abs/2512.17884 https://arxiv.org/pdf/2512.17884 https://arxiv.org/html/2512.17884
arXiv:2512.17884v1 Announce Type: new
Abstract: Operator learning is a data-driven approximation of mappings between infinite-dimensional function spaces, such as the solution operators of partial differential equations. Kernel-based operator learning can offer accurate, theoretically justified approximations that require less training than standard methods. However, they can become computationally prohibitive for large training sets and can be sensitive to noise. We propose a regularized random Fourier feature (RRFF) approach, coupled with a finite element reconstruction map (RRFF-FEM), for learning operators from noisy data. The method uses random features drawn from multivariate Student's $t$ distributions, together with frequency-weighted Tikhonov regularization that suppresses high-frequency noise. We establish high-probability bounds on the extreme singular values of the associated random feature matrix and show that when the number of features $N$ scales like $m \log m$ with the number of training samples $m$, the system is well-conditioned, which yields estimation and generalization guarantees. Detailed numerical experiments on benchmark PDE problems, including advection, Burgers', Darcy flow, Helmholtz, Navier-Stokes, and structural mechanics, demonstrate that RRFF and RRFF-FEM are robust to noise and achieve improved performance with reduced training time compared to the unregularized random feature model, while maintaining competitive accuracy relative to kernel and neural operator tests.
toXiv_bot_toot

Trinidadian Family Says U.S. Military Killed Relative in Boat Attack (New York Times)
https://www.nytimes.com/2025/10/16/world/americas/trinidad-us-military-venezuela-boats.html?unlocked_article_code=1.uE8.6h-j.Sj_00H7gnDMZ&smid=nytcore-ios-share&referringSource=articleShare
http://www.memeorandum.com/251016/p174#a251016p174

GRPO-GCC: Enhancing Cooperation in Spatial Public Goods Games via Group Relative Policy Optimization with Global Cooperation Constraint
Zhaoqilin Yang, Chanchan Li, Tianqi Liu, Hongxin Zhao, Youliang Tian
https://arxiv.org/abs/2510.08607

GRPO-GCC: Enhancing Cooperation in Spatial Public Goods Games via Group Relative Policy Optimization with Global Cooperation Constraint
Inspired by the principle of self-regulating cooperation in collective institutions, we propose the Group Relative Policy Optimization with Global Cooperation Constraint (GRPO-GCC) framework. This work is the first to introduce GRPO into spatial public goods games, establishing a new deep reinforcement learning baseline for structured populations. GRPO-GCC integrates group relative policy optimization with a global cooperation constraint that strengthens incentives at intermediate cooperation l…

I've just bought test materials to evaluate the relative strengths of a flax/balsa sandwich composite versus a carbon/Nomex (aramid) sandwich composite.
Yes, I know the carbon/Nomex will be stronger, but would the flax/balsa be strong enough for my #Tricycle project?
#BikeTooter

GRNND: A GPU-Parallel Relative NN-Descent Algorithm for Efficient Approximate Nearest Neighbor Graph Construction
Xiang Li (Nanjing University), Qiong Chang (Institute of Science Tokyo), Yun Li (Nanjing University), Jun Miyazaki (Institute of Science Tokyo)
https://arxiv.org/abs/2510.02774

GRNND: A GPU-Parallel Relative NN-Descent Algorithm for Efficient Approximate Nearest Neighbor Graph Construction
Relative Nearest Neighbor Descent (RNN-Descent) is a state-of-the-art algorithm for constructing sparse approximate nearest neighbor (ANN) graphs by combining the iterative refinement of NN-Descent with the edge-pruning rules of the Relative Neighborhood Graph (RNG). It has demonstrated strong effectiveness in large-scale search tasks such as information retrieval and related tasks. However, as the amount and dimensionality of data increase, the complexity of graph construction in RNN-Descent r…

Relative Gieseker's problem on $F$-divided bundles
Adrian Langer
https://arxiv.org/abs/2510.10583 https://arxiv.org/pdf/2510.10583

Relative Gieseker's problem on $F$-divided bundles
Let $f: X\to Y$ be a surjective morphism of normal projective varieties defined over an algebraically closed field of positive characteristic. We prove that if the induced map on étale fundamental groups is surjective then the corresponding map on $F$-divided fundamental groups is faithfully flat. We also prove an analogous result for isomorphisms. This generalizes and strengthens a recent result of X. Sun and L. Zhang \cite{Sun-Zhang2025}, which in turn generalized earlier results of H. Esnau…

Decentralized Multi-Robot Relative Navigation in Unknown, Structurally Constrained Environments under Limited Communication
Zihao Mao, Yunheng Wang, Yunting Ji, Yi Yang, Wenjie Song
https://arxiv.org/abs/2510.09188

Decentralized Multi-Robot Relative Navigation in Unknown, Structurally Constrained Environments under Limited Communication
Multi-robot navigation in unknown, structurally constrained, and GPS-denied environments presents a fundamental trade-off between global strategic foresight and local tactical agility, particularly under limited communication. Centralized methods achieve global optimality but suffer from high communication overhead, while distributed methods are efficient but lack the broader awareness to avoid deadlocks and topological traps. To address this, we propose a fully decentralized, hierarchical rela…

On the cardinality of measures of maximal relative entropy for smooth skew products
Matheus M. Castro, Gary Froyland
https://arxiv.org/abs/2510.04475 https://

On the cardinality of measures of maximal relative entropy for smooth skew products
Let $Ω$ and $M$ be compact smooth manifolds and let $Θ:Ω\times M\toΩ\times M$ be a $\mathcal C^{1+α}$ skew-product diffeomorphism over an Axiom A base. We show that $Θ$ has at most countably many ergodic hyperbolic measures of maximal relative entropy. When $\dim M=2$, if $Θ$ has positive relative topological entropy, then $Θ$ has at most countably many ergodic measures of maximal relative entropy.

Relative Information Gain and Gaussian Process Regression
Hamish Flynn
https://arxiv.org/abs/2510.04277 https://arxiv.org/pdf/2510.04277

Relative Information Gain and Gaussian Process Regression
The sample complexity of estimating or maximising an unknown function in a reproducing kernel Hilbert space is known to be linked to both the effective dimension and the information gain associated with the kernel. While the information gain has an attractive information-theoretic interpretation, the effective dimension typically results in better rates. We introduce a new quantity called the relative information gain, which measures the sensitivity of the information gain with respect to the o…

"The AI investment ‘bubble’ (as measured as the stock price relative to the 'book value' of a company) is 17 times the size of the dot-com frenzy of 2000 — and four times the subprime mortgage bubble of 2007. The ratio of the US stock market’s value to GDP (aka the “Buffett Indicator") has moved up to a new record high at 217%, more than 2 standard deviations above the long-term trendline." [ the very definition of abnormal - MB ]

The AI bubble and the US economy
The US stock market continues to hit new record highs; the bitcoin price is also close to highs and the gold price has rocketed to all-time highs. Investors in financial assets (banks, insurance co…

@…
That doesn't mean passkeys are worse, those are your words not mine. I've made no judgement call about the relative qualities of these options.
All I am saying is, it matters.
If I store all my passkeys on my Apple account only, and then get locked out tomorrow because I broke Apple's TOS, that would suck.
That's not a con…

Training-Free Group Relative Policy Optimization
Yuzheng Cai, Siqi Cai, Yuchen Shi, Zihan Xu, Lichao Chen, Yulei Qin, Xiaoyu Tan, Gang Li, Zongyi Li, Haojia Lin, Yong Mao, Ke Li, Xing Sun
https://arxiv.org/abs/2510.08191

Training-Free Group Relative Policy Optimization
Recent advances in Large Language Model (LLM) agents have demonstrated their promising general capabilities. However, their performance in specialized real-world domains often degrades due to challenges in effectively integrating external tools and specific prompting strategies. While methods like agentic reinforcement learning have been proposed to address this, they typically rely on costly parameter updates, for example, through a process that uses Supervised Fine-Tuning (SFT) followed by a …

Average relative entropy of random states
Lu Wei
https://arxiv.org/abs/2509.21846 https://arxiv.org/pdf/2509.21846

Average relative entropy of random states
Relative entropy serves as a cornerstone concept in quantum information theory. In this work, we study relative entropy of random states from major generic state models of Hilbert-Schmidt and Bures-Hall ensembles. In particular, we derive exact yet explicit formulas of average relative entropy of two independent states of arbitrary dimensions from the same ensemble as well as from two different ensembles. One ingredient in obtaining the results is the observed factorization of ensemble averages…

🇺🇦 #NowPlaying on KEXP's #MiddayShow
The Weakerthans:
🎵 Relative Surplus Value
#TheWeakerthans
https://theweakerthans.bandcamp.com/track/relative-surplus-value
https://open.spotify.com/track/6scM1MQ3MQ77HVFAN5szou

If a weapon is fired at a wedding, the authorities can seize it and levy a $100 fine.
If the gun is not handed over, a relative of the groom — his father or an uncle, perhaps — can be detained until the firearm is turned in.
“We don’t take the groom,” Mr. Dandar said, offering up a concession.

In Syria, a Crackdown on Gunfire at Weddings
Marriages and other glad occasions in Syria are often celebrated by firing shots in the air. But after nearly 14 years of war, people want the guns to go silent.

Data Integration and spatio temporal statistics can quantify relative risk of medico-legal reforms: the example of police emergency mental health responses in Queensland (Australia)
Nidup Dorji, Sourav Das, Richard Stone, Alan R. Clough
https://arxiv.org/abs/2510.11101

Data Integration and spatio temporal statistics can quantify relative risk of medico-legal reforms: the example of police emergency mental health responses in Queensland (Australia)
This study examined the spatial-temporal dynamics of Emergency Examination Order or Authority (EE-O/A) admissions in Far Northern Queensland (FNQ) from 2009 to 2020, using 13,035 unique police records aggregated across 83 postcodes. A two-stage modelling framework was used: Lasso was used to identify a parsimonious set of socio economic and health-service covariates, and a Conditional Autoregressive (CAR) model incorporated these predictors with structured spatial and temporal random effects. T…

Happiness is learning your Honda needs a new axle assembly ... and not a new transmission. It's all relative.

A Cascade of Systems and the Product of Their $\theta$-Symmetric Scaled Relative Graphs
Xiaokan Yang, Ding Zhang, Wei Chen, Li Qiu
https://arxiv.org/abs/2510.06583 https://

A Cascade of Systems and the Product of Their $θ$-Symmetric Scaled Relative Graphs
In this paper, we utilize a variant of the scaled relative graph (SRG), referred to as the $θ$-symmetric SRG, to develop a graphical stability criterion for the feedback interconnection of a cascade of systems. A crucial submultiplicative property of $θ$-symmetric SRG is established, enabling it to handle cyclic interconnections for which conventional graph separation methods are not applicable. By integrating both gain and refined phase information, the $θ$-symmetric SRG provides a unified …

Relative algebroids and symmetries of Pfaffian fibrations
Wilmer Smilde
https://arxiv.org/abs/2510.01517 https://arxiv.org/pdf/2510.01517

Relative algebroids and symmetries of Pfaffian fibrations
Relative algebroids and Pfaffian fibrations are two frameworks recently developed to study geometric structures and PDEs with symmetries, but have structurally different foundations. In this article, we clarify the relation between the two. We show that every Pfaffian fibration canonically induces a relative algebroid, and that their prolongations and local solutions coincide. Moreover, we introduce two notions of symmetries of Pfaffian fibrations, namely internal symmetries and Pfaffian symmet…

Israel-based RAAAM, whose "GCRAM" on-chip memory tech aims to deliver up to 10x power savings relative to high-density SRAM, raised a $17M Series A led by NXP (Meir Orbach/CTech)
https://www.calcalistech.com/ctechnews/article/sjjv3pp1bg

Chip giant NXP leads $17.5M Series A for Israeli startup tackling AI’s memory bottleneck
RAAAM Memory Technologies’ “GCRAM” promises denser, lower-power on-chip memory as the semiconductor industry races to support next-generation AI processors. 

«Settling for occasionally embarrassing Apple into partially reversing its most visibly egregious actions is ethically and morally stunted. Accepting the frame of "who should rule?" that Cupertino reflexively deploys is toxic to any hope of worthwhile technology because it creates and celebrates the idea of kings, leaving us supine relative to the mega-corps in our phones.»
Good analysis, from "The App Store Was Always Authoritarian"
https://infrequently.org/2025/10/the-app-store-was-always-authoritarian/

I have my vaccine scheduled for next week. Will be annoying if I come back from UK with COVID (pretty sure it will be high in DK too).
https://aus.social/@DenisCOVIDinfoguy/115352700047851601
DenisCOVIDinfoguy@aus.social - 🇬🇧 UK: England is now experiencing a significant Covid wave, after 10 months of relative quiet
"I’m sure most people now know someone in bed with Covid. If someone says they are in bed with flu, it’s almost certainly Covid, given that the number of people admitted to hospital for Covid last week was 50 times higher than the number admitted for flu!"
Source: https://christinapagel.substack.com/p/england-is-now-experiencing-a-significant

Parrot Analytics: movies made up ~50% of streaming revenue across Netflix, Prime Video, Disney , and WBD in 2024, up from ~27% in 2022, based on engagement data (Alejandro Rojas/The Hollywood Reporter)
https://www.hollywoodreporter.com/business/b…

How Movies Increasingly Drive Streaming Revenue
A Parrot Analytics analysis of thousands of titles across Amazon Prime Video, Disney+, Netflix, and Max finds that movies deliver disproportionately high engagement relative to the volume of content hours they represent.

BeSTAD: Behavior-Aware Spatio-Temporal Anomaly Detection for Human Mobility Data
Junyi Xie, Jina Kim, Yao-Yi Chiang, Lingyi Zhao, Khurram Shafique
https://arxiv.org/abs/2510.12076

BeSTAD: Behavior-Aware Spatio-Temporal Anomaly Detection for Human Mobility Data
Traditional anomaly detection in human mobility has primarily focused on trajectory-level analysis, identifying statistical outliers or spatiotemporal inconsistencies across aggregated movement traces. However, detecting individual-level anomalies, i.e., unusual deviations in a person's mobility behavior relative to their own historical patterns, within datasets encompassing large populations remains a significant challenge. In this paper, we present BeSTAD (Behavior-aware Spatio-Temporal Anoma…

"The energy of people opposing immigration enforcement downtown stands in contrast to the relative inaction by city officials, including Mayor Daniel Lurie [who] has mostly remained quiet on Trump’s orders for mass deportation."
SF activists are doing great. Our electeds, except for Sup. Jackie Fielder, are doing basically nothing.

Feels like all I've done is knit baubles for the last fortnight but this is all I have to show for it. To be fair one's with Mum and one's on the 🎄 as I wasn't happy with it. I've ordered the wrong size bauble and played yarn chicken with the white so it hasn't been plain sailing. @… has ordered two more for a relative so that's m…

Relative solidity results and their applications to computations of some II$_1$ factor invariants
Juan Felipe Ariza Mejia, Dulanji Nikethani Amaraweera, Ionut Chifan, Krishnendu Khan
https://arxiv.org/abs/2509.19481

Relative solidity results and their applications to computations of some II$_1$ factor invariants
In this paper we prove that whenever $G$ is hyperbolic relative to a family of exact, ressidually finite subgroups $\{H_1, \ldots, H_n\}$, the corresponding von Neumann algebra $\mathcal L(G)$ is solid relative to the family of subalgebras $\{\mathcal L(H_1),\ldots ,\mathcal L(H_n)\}$. Building on this result and combining it with findings from geometric group theory, we construct a continuum of icc property (T) relative hyperbolic groups that give rise to pairwise non virtually isomorphic fact…

Efficient Input-Constrained Impulsive Optimal Control of Linear Systems with Application to Spacecraft Relative Motion
Ethan Foss, Simone D'Amico
https://arxiv.org/abs/2510.03423

Efficient Input-Constrained Impulsive Optimal Control of Linear Systems with Application to Spacecraft Relative Motion
This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta functions, are typically formulated as an optimization over a normed function space subject to integral equality constraints and can be efficiently solved for linear time-varying systems in their dual formulation. In this dual setting, the problem takes the form …

Finished “The Last Murder at the End of the World” by Stuart Turton.
Their island is a sanctuary against an apocalyptic fog which has enveloped the world. The villagers and the elders have lived in relative peace for decades until a murder flings everything into chaos. Solving it may be the only chance for survival.
4/5 stars ⭐️ ⭐️ ⭐️ ⭐️
h…

The Last Murder at the End of the World
Solve the murder to save what's left of the world. Out…

Power residues, digit expansions and relative class numbers
Kurt Girstmair
https://arxiv.org/abs/2509.21094 https://arxiv.org/pdf/2509.21094

Power residues, digit expansions and relative class numbers
This is a survey of a connection between the distribution of certain power residues modulo $p$, $p$ a prime, and relative class numbers. The focus lies on quadratic residues and sixth power residues. Dirichlet's class number formula yields a number of results about the distribution of quadratic residues, for instance, the well-known fact that the interval $[0,p/2]$ contains more quadratic residues than nonresidues. This class number formula is also responsible for some properties of the digit e…

Playing a little bit of the new B42 Zomboid last night, I came up with a new feature I need...
Change the auto-updater to skip updating if there are players currently logged in.
It'll check Steam, (or whatever the relative source), for an update and apply those changes once an hour. However for fast-changing servers like Zomboid (during development cycles) and ARK (notably when they "fix" something only to break 3 more things), this can be annoying for users alread…

Matrix $A_p$-weights relative to a pseudo-metric
Morten Nielsen
https://arxiv.org/abs/2510.02849 https://arxiv.org/pdf/2510.02849

Matrix $A_p$-weights relative to a pseudo-metric
Matrix weights satisfying a Muckenhoupt $A_p$-condition relative to a family of anisotropic balls in $\mathbb{R}^d$ defined by a pseudo-metric are studied. It is shown that such matrix weights satisfy a doubling condition and a reverse Hölder inequality. In the special case, where the pseudo-metric is homogeneous with respect to a one-parameter dilation group, the corresponding Muckenhoupt class is shows to satisfy an invariance property under composition with affine transformations generated …

Interconnected Contests
Marcin Dziubi\'nski, Sanjeev Goyal, Junjie Zhou
https://arxiv.org/abs/2510.11452 https://arxiv.org/pdf/2510.11452

Interconnected Contests
We study a two-player model of conflict with multiple battlefields -- the novel element is that each of the players has their own network of spillovers so that resources allocated to one battle can be utilized in winning neighboring battles. There exists a unique equilibrium in which the relative probability of a player winning a battle is the product of the ratio of the centrality of the battlefield in the two respective competing networks and the ratio of the relative cost of efforts of the t…

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
Sergio E. Aguilar-Gutierrez
https://arxiv.org/abs/2510.11777 htt…

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
How do we describe non-trivial bulk measurements relative to an observer (i.e. relationally) when both the observer and the system it probes may/may not evolve in time? How can we interpret this holographically; particularly for zero-energy BPS states in supersymmetric theories? We address these questions, in the $\mathcal{N}=2$ double-scaled SYK model and its putative bulk dual by: (i) formulating a holographic procedure in the language of quantum reference frames to gravitationally dress bulk…

Quantum $f$-divergences and Their Local Behaviour: An Analysis via Relative Expansion Coefficients
Paula Belzig, Shreyas Iyer, Graeme Smith, Peixue Wu
https://arxiv.org/abs/2510.06183

Quantum $f$-divergences and Their Local Behaviour: An Analysis via Relative Expansion Coefficients
Any reasonable measure of distinguishability of quantum states must satisfy a data processing inequality, that is, it must not increase under the action of a quantum channel. We can ask about the proportion of information lost or preserved and this leads us to study contraction and expansion coefficients respectively, which can be combined into a single \emph{relative expansion coefficient} for study. We focus on two prominent families: (i) standard quantum $f$ divergences and (ii) their local …

Fisher information and trajectorial interpretation to the It\^o--Langevin relative entropy dissipation
Jiaming Chen
https://arxiv.org/abs/2510.01870 https://

Fisher information and trajectorial interpretation to the Itô--Langevin relative entropy dissipation
The dissipation phenomena of relative entropy from an Itô--Langevin dynamical system is a classic topic from stochastic analysis. Relying on the time-reversal of diffusions, a novel trajectorial approach investigates the pathwise behavior of relevant entropy processes, reveals more information from the delicate random structure, and eventually retrieves the known classical results. In essence, this approach provides novel insights and rederives the known results of the Itô--Langevin dynamics,…

Silting reduction, relative AGK's construction and Higgs construction
Yilin Wu
https://arxiv.org/abs/2510.00470 https://arxiv.org/pdf/2510.00470…

Silting reduction, relative AGK's construction and Higgs construction
We introduce the notion of a Calabi--Yau quadruple as a generalization of Iyama--Yang's Calabi--Yau triple. For each \((d+1)\)-Calabi--Yau quadruple, we show that the associated Higgs category is a \(d\)-Calabi--Yau Frobenius extriangulated category, which moreover admits a canonical \(d\)-cluster-tilting subcategory. Concrete examples arise from the construction of relative cluster categories and Higgs categories in the setting of ice quivers with potentials, as well as from the singularity ca…

Relative stability theory and properness of K-moduli spaces
Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang
https://arxiv.org/abs/2510.06197 https://ar…

Relative stability theory and properness of K-moduli spaces
We define the relative stability threshold of a family of Fano varieties over a DVR and show that it is computed by a divisorial valuation. In the case when the special fiber is K-unstable, but the generic fiber is K-semistable, we use the divisorial valuation computing the threshold to replace the special fiber by a new one with a strictly larger stability threshold. Iterating this process yields a new and more direct proof of the properness of the K-moduli space that uses only birational geom…

Metric response of relative entropy: a universal indicator of quantum criticality
Pritam Sarkar, Diptiman Sen, Arnab Sen
https://arxiv.org/abs/2509.22515 https://

Metric response of relative entropy: a universal indicator of quantum criticality
The information-geometric origin of fidelity susceptibility and its utility as a universal probe of quantum criticality in many-body settings have been widely discussed. Here we explore the metric response of quantum relative entropy (QRE), by tracing out all but $n$ adjacent sites from the ground state of spin chains of finite length $N$, as a parameter of the corresponding Hamiltonian is varied. The diagonal component of this metric defines a susceptibility of the QRE that diverges at quantum…

Geometric Constructions of Mod $p$ Cohomology Operations
Herng Yi Cheng
https://arxiv.org/abs/2510.12574 https://arxiv.org/pdf/2510.12574

Geometric Constructions of Mod $p$ Cohomology Operations
The Brown Representability Theorem implies that cohomology operations can be represented by continuous maps between Eilenberg-Maclane spaces. These Eilenberg-Maclane spaces have explicit geometric models as spaces of cycles on round spheres and spaces of relative cycles on unit disks, due to the Almgren Isomorphism Theorem. A. Nabutovsky asked what maps between spaces of cycles represent the Steenrod squares. In this work we answer this question by constructing maps with explicit formulas fro…

Crosslisted article(s) found for physics.hist-ph. https://arxiv.org/list/physics.hist-ph/new
[1/1]:
- Relative Information, Relative Facts
Andrea Di Biagio, Carlo Rovelli

Suspect in National Guard shooting served alongside U.S. troops in Afghanistan, relative says (NBC News)
https://www.nbcnews.com/news/us-news/suspect-national-guard-shooting-served-us-troops-afghanistan-relative-rcna246170
http://www.memeorandum.com/251127/p13#a251127p13

Is there a #UNIX style tool with which I can do any or all of (some are equivalent when combined with other tools):
* Turn absolute symlinks into relative ones or vice versa
* Increase or decrease the number of `../` segments in symlinks during/after copying/moving them
* Get me all a tree's symlinks in a text file so I can edit/sed them and turn them back into symlinks
* Full…

An improved perturbative QCD study of the decays $B_c^ \to \eta_c L^ $
Wen-Jing Zhang, Xin Liu
https://arxiv.org/abs/2510.12216 https://arxiv.org/pdf/2510…

An improved perturbative QCD study of the decays $B_c^+ \to η_c L^+$
We perform an improved perturbative QCD study of the decays $B_c^+ \to η_c L^+$ ($L$ denotes the light ground state pseudoscalar, vector mesons and the corresponding $p$-wave scalar, axial-vector, and tensor ones) and predict their branching ratios (BRs) associated with relative ratios at leading order in the strong coupling $α_s$. Our results ${\rm BR}(B_c^+ \to η_c π^+) =(2.03^{+0.53}_{-0.41}) \times 10^{-3}$ and ${\rm BR}(B_c^+ \to η_c π^+)/{\rm BR}(B_c^+ \to J/ψπ^+) = 1.74^{+0.66}_{…

the annoying thing about relative timestamps is that you get a screenshot that says "3h" and you have to do digital archeology to find the OP to get the date and hope it didn't stay in their drafts for 3y before they hit send, so you don't look like a fool for mailing a Christmas card to a dying kid who was debunked as a viral marketing campaign created by an AI agent that was publicly executed before you were born

On the Capacity of Distributed Quantum Storage
Hua Sun, Syed A. Jafar
https://arxiv.org/abs/2510.10568 https://arxiv.org/pdf/2510.10568

On the Capacity of Distributed Quantum Storage
A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and erasure patterns may not be homogeneous. The capacity of distributed quantum storage is the maximum feasible size of the quantum message (relative to the sizes of the storage nodes), when the scaling of the size of the message and all storage nodes by the same scal…

DyKnow-RAG: Dynamic Knowledge Utilization Reinforcement Framework for Noisy Retrieval-Augmented Generation in E-commerce Search Relevance
Tingqiao Xu, Shaowei Yao, Chenhe Dong, Yiming Jin, Zerui Huang, Dan Ou, Haihong Tang
https://arxiv.org/abs/2510.11122

DyKnow-RAG: Dynamic Knowledge Utilization Reinforcement Framework for Noisy Retrieval-Augmented Generation in E-commerce Search Relevance
Accurately modeling query-item relevance drives e-commerce ranking, yet long-tail, knowledge-heavy, and fast-evolving queries exceed parametric LLM coverage. External context (reviews, attribute encyclopedias, UGC) can help but is noisy, and single-pass latency and cost forbid any clean-then-summarize step. The model must, per query, judge relevance and decide whether to use, partially use, or ignore the context. DyKnow-RAG is a dynamic noisy-RAG framework built on Group Relative Policy Optimiz…

Using simultaneous mass accretion and external photoevaporation rates for d203-504 to constrain disc evolution processes
Gavin A. L. Coleman, Thomas J. Haworth, Ilane Schroetter, Olivier Bern\'e
https://arxiv.org/abs/2510.12535

Using simultaneous mass accretion and external photoevaporation rates for d203-504 to constrain disc evolution processes
We cannot understand planet formation without understanding disc evolutionary processes. However, there is currently ambiguity about how protoplanetary discs transport angular momentum (e.g. via viscosity or winds) and the relative contributions and interplay of different dispersal mechanisms. A key difficulty is that for any given system only a handful of disc parameters are usually available to constrain theoretical models. Recent observations of the d203-504 disc in Orion, have yielded value…

The isomorphism problem for finitely generated bi-orderable groups
Filippo Calderoni, Adam Clay
https://arxiv.org/abs/2510.10673 https://arxiv.org/pdf/2510…

The isomorphism problem for finitely generated bi-orderable groups
We analyze the classification problem for finitely generated orderable groups from the viewpoint of descriptive set theory. We define the space of finitely generated left-orderable groups, and the subspace of finitely generated bi-orderable groups using spaces of relative cones, and show that both spaces are Polish. We use this setup to show that the isomorphism relation on the space of finitely generated bi-orderable groups is weakly universal.

One ongoing nuisance of my new laptop is that it runs Sequoia. Even with a year of fixes, it still sucks relative to Sonoma in ways I'm still discovering.
Example: I have a little script that runs out of cron at times of day when Kyle is likely to be in earshot. It tells the time. On the old machine it used Apple's "Fiona" Scottish English "Enhanced" voice. We refer to her by name…
Apple didn't include Fiona (or ANY en-GB voice!) in Sequoia. 1/…

Pretorsion theories in prenormal categories
Sandra Mantovani, Mariano Messora
https://arxiv.org/abs/2510.07040 https://arxiv.org/pdf/2510.07040

Pretorsion theories in prenormal categories
In this paper we extend several classical results on pointed torsion theories -- also known as torsion pairs -- to the setting of non-pointed torsion theories defined via kernels and cokernels relative to a fixed class of trivial objects (often referred to as pretorsion theories). Our results are developed in the recently introduced framework of (non-pointed) prenormal categories and other related contexts. Within these settings, we recover some characterisations of torsion and torsion-free sub…

"Out of curiosity, I used this brand-new search engine you might have heard about, “Google,” to learn more about the subject. I found a copy of CaptureNet, a freeware packet sniffer part of the SpyNet/PeepNet by Laurentiu Nicula; then I looked up for the port number used by MSN Messenger (it was 1863 in case you were wondering.) Finally, I found out how to enable “promiscuous mode” in the network card in my laptop."

The Weakest Link
The professor stopped the class. He asked one students for his phone number. After entering the number into a device looking like a handheld calculator, he asked this unsuspecting student to go outside the classroom and call a friend or a relative. The student complied. After a few seconds, to our astonishment, the machine picked up the call. We could all clearly hear our friend talking to his mum about dinner plans for that evening.

TTRV: Test-Time Reinforcement Learning for Vision Language Models
Akshit Singh, Shyam Marjit, Wei Lin, Paul Gavrikov, Serena Yeung-Levy, Hilde Kuehne, Rogerio Feris, Sivan Doveh, James Glass, M. Jehanzeb Mirza
https://arxiv.org/abs/2510.06783

TTRV: Test-Time Reinforcement Learning for Vision Language Models
Existing methods for extracting reward signals in Reinforcement Learning typically rely on labeled data and dedicated training splits, a setup that contrasts with how humans learn directly from their environment. In this work, we propose TTRV to enhance vision language understanding by adapting the model on the fly at inference time, without the need for any labeled data. Concretely, we enhance the Group Relative Policy Optimization (GRPO) framework by designing rewards based on the frequency o…

HES-SQL: Hybrid Reasoning for Efficient Text-to-SQL with Structural Skeleton Guidance
Suming Qiu, Jing Li, Zhicheng Zhou, Junjie Huang, Linyuan Qiu, Zhijie Sun
https://arxiv.org/abs/2510.08896

HES-SQL: Hybrid Reasoning for Efficient Text-to-SQL with Structural Skeleton Guidance
We present HES-SQL, a novel hybrid training framework that advances Text-to-SQL generation through the integration of thinking-mode-fused supervised fine-tuning (SFT) with Group Relative Policy Optimization (GRPO). Our approach introduces three key innovations: (1) a skeleton-completeness scoring mechanism that enhances preference alignment between generated queries and optimal SQL structures; (2) a query-latency-aware reward system that incentivizes the generation of computationally efficient …

Relative higher index theory on quotients of Roe algebras and positive scalar curvature at infinity
Liang Guo, Qin Wang, Chen Zhang
https://arxiv.org/abs/2509.23380 https://

Relative higher index theory on quotients of Roe algebras and positive scalar curvature at infinity
In this paper, we employ quotients of Roe algebras as index containers for elliptic differential operators to study the existence problem of Riemannian metrics with positive scalar curvature on non-compact complete Riemannian manifolds. The non-vanishing of such an index locates the precise direction at infinity of the obstructions to positive scalar curvature, and may be viewed as a refinement of the positive scalar curvature problem. To achieve this, we formulate the relative coarse Baum-Conn…

Crosslisted article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- GRPO-GCC: Enhancing Cooperation in Spatial Public Goods Games via Group Relative Policy Optimizat...
Zhaoqilin Yang, Chanchan Li, Tianqi Liu, Hongxin Zhao, Youliang Tian

Fast and Accurate Intersections on a Sphere
Hongyu Chen, Paul A. Ullrich, Julian Panetta
https://arxiv.org/abs/2510.09892 https://arxiv.org/pdf/2510.09892

Fast and Accurate Intersections on a Sphere
We introduce a fast, high-precision algorithm for calculating intersections between great circle arcs and lines of constant latitude on the unit sphere. We first propose a simplified intersection point formula with improved speed and numerical robustness over the ones traditionally implemented in geoscience software. We then show how algorithms based on the concept of error-free transformations (EFT) can be applied to evaluate this formula within a relative error bound that is on the order of m…

Psi-Turing Machines: Bounded Introspection for Complexity Barriers and Oracle Separations
Rafig Huseynzade
https://arxiv.org/abs/2510.08577 https://arxiv.o…

Psi-Turing Machines: Bounded Introspection for Complexity Barriers and Oracle Separations
We introduce Psi-Turing Machines (Psi-TM): classical Turing machines equipped with a constant-depth introspection interface $ ι$ and an explicit per-step information budget $ B(d,n)=c\,d\log_2 n $. With the interface frozen, we develop an information-theoretic lower-bound toolkit: Budget counting, $ Ψ$-Fooling, and $ Ψ$-Fano, with worked examples $ L_k $ and $ L_k^{\mathrm{phase}} $. We prove an oracle-relative separation $ P^Ψ \neq NP^Ψ $ and a strict depth hierarchy, reinforced by an Ant…

Effects of strain on the stability of the metallic rutile and insulating M1 phases of vanadium dioxide
Peter Mlkvik, Lena Geistlich, Nicola A. Spaldin, Claude Ederer
https://arxiv.org/abs/2510.11480

Effects of strain on the stability of the metallic rutile and insulating M1 phases of vanadium dioxide
We present a systematic density-functional theory study of the effects of strain on the structural and electronic properties in vanadium dioxide (VO$_2$), with particular emphasis on its effect on the relative stability of the metallic rutile and the insulating monoclinic M1 phases. We consider various strain conditions that can be related to epitaxial strain present in VO$_2$ films grown on different lattice planes. Our calculations confirm the dominant role of $c$ axis strain, i.e., along the…

Relative to many, my life is very good,
-- in that I am alive and housed, fed, sometimes employed.
I am healthy and loved.
Still, I am about to lose my entire mind over the Free Application for Federal Student Aid (FAFSA) website,
and the fact that someone,
probably a bot farmer,
has already used my 16-year-old son’s identity to establish a fraudulent account.
This is a common scam,
one that was fortunately detected before any money changed …

FAFSA Is Breaking Me
I think I have been holding it together in the face of everything we can’t stop talking about—the killing and the dying, the explosions and the terror, the eggs and the bird flu and the shameless ghouls ruining the good parts of our country, the weapons and the

Tracing Planetary Accretion in a 3 Gyr-old Hydrogen-Rich White Dwarf: The Extremely Polluted Atmosphere of LSPM J0207 3331
\'Erika Le Bourdais, Patrick Dufour, Carl Melis, Beth L. Klein, Laura K. Rogers, Antoine B\'edard, John Debes, Ashley Messier, Alycia J. Weinberger, Siyi Xu
https://arxiv.org/abs/2510.08676

Tracing Planetary Accretion in a 3 Gyr-old Hydrogen-Rich White Dwarf: The Extremely Polluted Atmosphere of LSPM J0207+3331
We report the detection of 13 heavy elements (Na, Mg, Al, Si, Ca, Ti, Cr, Mn, Fe, Co, Ni, Cu, and Sr) in the photosphere of LSPM J0207+3331, a ~3 Gyr old hydrogen-rich white dwarf with an effective temperature comparable to that of the Sun. Upper limits on carbon, obtained through the absence of molecular CH, suggest accretion from a carbon-volatile-depleted source. The accreted parent body exhibits slight deficits of Mg and Si relative to Fe but otherwise bulk Earth-like abundance patterns; a …

Using chromatic covariance to correct for scintillation noise in ground-based spectrophotometry
Jason E. Williams, Nicholas P. Konidaris
https://arxiv.org/abs/2510.10941 https:/…

Using chromatic covariance to correct for scintillation noise in ground-based spectrophotometry
Atmospheric scintillation is one of the largest sources of error in ground-based spectrophotometry, reducing the precision of astrophysical signals extracted from the time-series of bright objects to that of much fainter objects. Relative to the fundamental Poisson noise, scintillation is not effectively reduced by observing with larger telescopes, and alternative solutions are needed to maximize the spectrophotometric precision of large telescopes. If the chromatic covariance of the scintillat…

Quantum Relative Entropy Decay Composition Yields Shallow, Unstructured k-Designs
Nicholas Laracuente
https://arxiv.org/abs/2510.08537 https://arxiv.org/pd…

Quantum Relative Entropy Decay Composition Yields Shallow, Unstructured k-Designs
A major line of questions in quantum information and computing asks how quickly locally random circuits converge to resemble global randomness. In particular, approximate k-designs are random unitary ensembles that resemble random circuits up to their first k moments. It was recently shown that on n qudits, random circuits with slightly structured architectures converge to k-designs in depth O(log n), even on one-dimensional connectivity. It has however remained open whether the same shallow de…

A Hierarchical Variational Graph Fused Lasso for Recovering Relative Rates in Spatial Compositional Data
Joaquim Valerio Teixeira, Ed Reznik, Sudpito Banerjee, Wesley Tansey
https://arxiv.org/abs/2509.20636

A Hierarchical Variational Graph Fused Lasso for Recovering Relative Rates in Spatial Compositional Data
The analysis of spatial data from biological imaging technology, such as imaging mass spectrometry (IMS) or imaging mass cytometry (IMC), is challenging because of a competitive sampling process which convolves signals from molecules in a single pixel. To address this, we develop a scalable Bayesian framework that leverages natural sparsity in spatial signal patterns to recover relative rates for each molecule across the entire image. Our method relies on the use of a heavy-tailed variant of th…

HUNT: High-Speed UAV Navigation and Tracking in Unstructured Environments via Instantaneous Relative Frames
Alessandro Saviolo, Jeffrey Mao, Giuseppe Loianno
https://arxiv.org/abs/2509.19452

HUNT: High-Speed UAV Navigation and Tracking in Unstructured Environments via Instantaneous Relative Frames
Search and rescue operations require unmanned aerial vehicles to both traverse unknown unstructured environments at high speed and track targets once detected. Achieving both capabilities under degraded sensing and without global localization remains an open challenge. Recent works on relative navigation have shown robust tracking by anchoring planning and control to a visible detected object, but cannot address navigation when no target is in the field of view. We present HUNT (High-speed UAV …

Token-Level Policy Optimization: Linking Group-Level Rewards to Token-Level Aggregation via Markov Likelihood
Xingyu Lin, Yilin Wen, En Wang, Du Su, Wenbin Liu, Chenfu Bao, Zhonghou Lv
https://arxiv.org/abs/2510.09369

Token-Level Policy Optimization: Linking Group-Level Rewards to Token-Level Aggregation via Markov Likelihood
Group Relative Policy Optimization (GRPO) has significantly advanced the reasoning ability of large language models (LLMs), particularly by boosting their mathematical performance. However, GRPO and related entropy-regularization methods still face challenges rooted in the sparse token rewards inherent to chain-of-thought (CoT). Current approaches often rely on undifferentiated token-level entropy adjustments, which frequently lead to entropy collapse or model collapse. In this work, we propose…

Americans express fear and negativity toward AI, often relying on bad arguments like water usage, a stark contrast with Asia and Europe's relative positivity (Noah Smith/Noahpinion)
https://www.noahpinion.blog/p/i-love-ai-why-doesnt-everyone

I love AI. Why doesn't everyone?
Anti-AI sentiment might or might not be rational, but it certainly relies on a lot of bad arguments.

Folks, please remember that while our focus this week has been on trying to get the families stuck under Israel’s bombs in the North to relative safety in the South, our families in the South need your continued support for the basic necessities of life.
You’ll remember Aseel as she was our very first Gaza Verified member.
Every week, she tries to raise $500 so she can feed her family of six.
Her fundraiser isn’t doing too well this week.
(She still has a little over …

Scalability and asymptotic adjunction
Georgii S. Makeev
https://arxiv.org/abs/2510.07883 https://arxiv.org/pdf/2510.07883

Scalability and asymptotic adjunction
In this paper, we introduce relative Roe functors and show that for every pair of scalable proper metric spaces, the functor of continuous functions and the relative Roe functor, both associated with this pair, are asymptotically adjoint. While this asymptotic adjunction is weaker than the genuine one, it retains sufficient categorical properties to be intuitive and useful in applications. These results can be used to provide an unsuspended description of the Connes-Higson $E$-theory, establish…

Bilateral facial reduction: qualification-free subdifferential calculus and exact duality in convex analysis
Matthew S. Scott
https://arxiv.org/abs/2510.12244 https://

Bilateral facial reduction: qualification-free subdifferential calculus and exact duality in convex analysis
This paper introduces a geometric framework to extend convex analysis results beyond standard qualification conditions such as intersecting relative interiors of domains. We define the joint facial subspace $T$ as the span of the face of $C - D$ generated by $0$, with its affine translation $T_a$ containing $C \cap D$. The intersections $C \cap T_a$ and $D \cap T_a$ are faces of the original sets, establishing $T_a$ as a bilateral facial reduction with parallels to Borwein-Wolkowicz facial redu…

Towards Foundation Models for Zero-Shot Time Series Anomaly Detection: Leveraging Synthetic Data and Relative Context Discrepancy
Tian Lan, Hao Duong Le, Jinbo Li, Wenjun He, Meng Wang, Chenghao Liu, Chen Zhang
https://arxiv.org/abs/2509.21190

Towards Foundation Models for Zero-Shot Time Series Anomaly Detection: Leveraging Synthetic Data and Relative Context Discrepancy
Time series anomaly detection (TSAD) is a critical task, but developing models that generalize to unseen data in a zero-shot manner remains a major challenge. Prevailing foundation models for TSAD predominantly rely on reconstruction-based objectives, which suffer from a fundamental objective mismatch: they struggle to identify subtle anomalies while often misinterpreting complex normal patterns, leading to high rates of false negatives and positives. To overcome these limitations, we introduce…

Contrastive Dimension Reduction: A Systematic Review
Sam Hawke, Eric Zhang, Jiawen Chen, Didong Li
https://arxiv.org/abs/2510.11847 https://arxiv.org/pdf/2…

Contrastive Dimension Reduction: A Systematic Review
Contrastive dimension reduction (CDR) methods aim to extract signal unique to or enriched in a treatment (foreground) group relative to a control (background) group. This setting arises in many scientific domains, such as genomics, imaging, and time series analysis, where traditional dimension reduction techniques such as Principal Component Analysis (PCA) may fail to isolate the signal of interest. In this review, we provide a systematic overview of existing CDR methods. We propose a pipeline …

Robust Closed-Form Control for MIMO Nonlinear Systems under Conflicting Time-Varying Hard and Soft Constraints
Farhad Mehdifar, Charalampos P. Bechlioulis, Dimos V. Dimarogonas
https://arxiv.org/abs/2510.11393

Robust Closed-Form Control for MIMO Nonlinear Systems under Conflicting Time-Varying Hard and Soft Constraints
This paper introduces a novel robust closed-form control law to handle time-varying hard and soft constraints in uncertain high-relative-degree nonlinear MIMO systems. These constraints represent spatiotemporal specifications in mechanical systems' operational space, with hard constraints ensuring safety-critical requirements and soft constraints encoding performance or task objectives. Initially, all constraints are consolidated into two separate scalar time-varying hard and soft constraint fu…

The Contingencies of Physical Embodiment Allow for Open-Endedness and Care
Leonardo Christov-Moore (Institute for Advanced Consciousness Studies, Santa Monica, CA), Arthur Juliani (Institute for Advanced Consciousness Studies, Santa Monica, CA), Alex Kiefer (Institute for Advanced Consciousness Studies, Santa Monica, CA, VERSES, Monash Centre for Consciousness and Contemplative Studies), Nicco Reggente (Institute for Advanced Consciousness Studies, Santa Monica, CA), B. Scott Rousse (A…

The Contingencies of Physical Embodiment Allow for Open-Endedness and Care
Physical vulnerability and mortality are often seen as obstacles to be avoided in the development of artificial agents, which struggle to adapt to open-ended environments and provide aligned care. Meanwhile, biological organisms survive, thrive, and care for each other in an open-ended physical world with relative ease and efficiency. Understanding the role of the conditions of life in this disparity can aid in developing more robust, adaptive, and caring artificial agents. Here we define two m…

Geopolitics, Geoeconomics and Risk:A Machine Learning Approach
Alvaro Ortiz, Tomasa Rodrigo
https://arxiv.org/abs/2510.12416 https://arxiv.org/pdf/2510.124…

Geopolitics, Geoeconomics and Risk:A Machine Learning Approach
We introduce a novel high-frequency daily panel dataset of both markets and news-based indicators -- including Geopolitical Risk, Economic Policy Uncertainty, Trade Policy Uncertainty, and Political Sentiment -- for 42 countries across both emerging and developed markets. Using this dataset, we study how sentiment dynamics shape sovereign risk, measured by Credit Default Swap (CDS) spreads, and evaluate their forecasting value relative to traditional drivers such as global monetary policy and m…

Hello all,
Well, this is an announcement I never wanted to make.
We discovered today that one of members, who, although he is from Gaza and a victim of genocide, has nevertheless not represented his current situation honestly. And I have had the terrible task of removing them and one of our new members, a friend of his, from Gaza Verified.
Now, before I tell you what happened, I want to stress this:
I am not saying they are not from Gaza or have not suffered from this…

Gaza Verified
Emergency appeal to get the Gaza Verified families stuck in the danger zone in the North to relative safety in the South.

Who Said Neural Networks Aren't Linear?
Nimrod Berman, Assaf Hallak, Assaf Shocher
https://arxiv.org/abs/2510.08570 https://arxiv.org/pdf/2510.08570

Who Said Neural Networks Aren't Linear?
Neural networks are famously nonlinear. However, linearity is defined relative to a pair of vector spaces, $f$$:$$X$$\to$$Y$. Is it possible to identify a pair of non-standard vector spaces for which a conventionally nonlinear function is, in fact, linear? This paper introduces a method that makes such vector spaces explicit by construction. We find that if we sandwich a linear operator $A$ between two invertible neural networks, $f(x)=g_y^{-1}(A g_x(x))$, then the corresponding vector spaces $…

The $\alpha$--regression for compositional data: a unified framework for standard, spatially-lagged, and geographically-weighted regression models
Michail Tsagris
https://arxiv.org/abs/2510.12663

The $α$--regression for compositional data: a unified framework for standard, spatially-lagged, and geographically-weighted regression models
Compositional data-vectors of non--negative components summing to unity--frequently arise in scientific applications where covariates influence the relative proportions of components, yet traditional regression approaches struggle with the unit-sum constraint and zero values. This paper revisits the $α$--regression framework, which uses a flexible power transformation parameterized by $α$ to interpolate between raw data analysis and log-ratio methods, naturally handling zeros without imputati…

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality
Himanshu Badhani, Dhanuja G S, Siddhartha Das
https://arxiv.org/abs/2510.12790

Thermodynamics of quantum processes: An operational framework for free energy and reversible athermality
We explore the thermodynamics of quantum processes (quantum channels) by axiomatically introducing the free energy for channels, defined via the quantum relative entropy with an absolutely thermal channel whose fixed output is in equilibrium with a thermal reservoir. This definition finds strong support through its operational interpretations in designated quantum information and thermodynamic tasks. We construct a resource theory of athermality for quantum processes, where free operations are …

Contrastive Decoding for Synthetic Data Generation in Low-Resource Language Modeling
Jannek Ulm, Kevin Du, V\'esteinn Sn{\ae}bjarnarson
https://arxiv.org/abs/2510.08245 http…

Contrastive Decoding for Synthetic Data Generation in Low-Resource Language Modeling
Large language models (LLMs) are trained on huge amounts of textual data, and concerns have been raised that the limits of such data may soon be reached. A potential solution is to train on synthetic data sampled from LLMs. In this work, we build on this idea and investigate the benefits of contrastive decoding for generating synthetic corpora. In a controlled setting, we experiment with sampling corpora using the relative difference between a good and bad model trained on the same original cor…

Hi everyone,
Just a quick update that @… is alive.
We hadn’t been able to reach him this past week and we were very worried as he was in the North.
I’m now back in touch with him. He and his family have moved South but they have been sleeping on the streets. They desperately need a tent and land.
I am working to prepare and launch a se…

Gaza Verified
Emergency appeal to get the Gaza Verified families stuck in the danger zone in the North to relative safety in the South.

Reinforcing Diffusion Models by Direct Group Preference Optimization
Yihong Luo, Tianyang Hu, Jing Tang
https://arxiv.org/abs/2510.08425 https://arxiv.org/…

Reinforcing Diffusion Models by Direct Group Preference Optimization
While reinforcement learning methods such as Group Relative Preference Optimization (GRPO) have significantly enhanced Large Language Models, adapting them to diffusion models remains challenging. In particular, GRPO demands a stochastic policy, yet the most cost-effective diffusion samplers are based on deterministic ODEs. Recent work addresses this issue by using inefficient SDE-based samplers to induce stochasticity, but this reliance on model-agnostic Gaussian noise leads to slow convergenc…

Predictive Control Barrier Functions for Discrete-Time Linear Systems with Unmodeled Delays
Juan Augusto Paredes Salazar, James Usevitch, Ankit Goel
https://arxiv.org/abs/2510.01059

Predictive Control Barrier Functions for Discrete-Time Linear Systems with Unmodeled Delays
This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing discrete-time CBF formulations typically require the construction of auxiliary barrier functions when the relative degree is greater than one, which complicates implementation and may yield conservative safe sets. The proposed PCBF framework addresses this chal…

Quantum Fisher information matrices from R\'enyi relative entropies
Mark M. Wilde
https://arxiv.org/abs/2510.02218 https://arxiv.org/pdf/2510.02218

Quantum Fisher information matrices from Rényi relative entropies
Quantum generalizations of the Fisher information are important in quantum information science, with applications in high energy and condensed matter physics and in quantum estimation theory, machine learning, and optimization. One can derive a quantum generalization of the Fisher information matrix in a natural way as the Hessian matrix arising in a Taylor expansion of a smooth divergence. Such an approach is appealing for quantum information theorists, given the ubiquity of divergences in qua…

A comparison of approaches to incorporate patient-selected and patient-ranked outcomes in clinical trials
David S. Robertson, Thomas Jaki
https://arxiv.org/abs/2510.11578 https:…

A comparison of approaches to incorporate patient-selected and patient-ranked outcomes in clinical trials
A key aspect of patient-focused drug development is identifying and measuring outcomes that are important to patients in clinical trials. Many medical conditions affect multiple symptom domains, and a consensus approach to determine the relative importance of the associated multiple outcomes ignores the heterogeneity in individual patient preferences. Patient-selected outcomes offer one way to incorporate individual patient preferences, as proposed in recent regulatory guidance for the treatmen…

We’re not the only ones trying to help families in North Gaza evacuate to relative safety in the South.
@…’s efforts were an inspiration for Gaza Verified. And their appeal is struggling.
https://

Keep Hope Alive: a Gaza Giving Circle
We are a team of volunteers in the US and UK, led by two sisters passionate about helping our friends on the ground keep their families and neighbors alive with food, water, & shelter. We saw that their campaigns are extremely stagnant and wanted to find a way to direct steady help to them. We distribute your contributions equally every week for sustainable support.

$\lambda$-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
Yining Wang, Jinman Zhao, Chuangxin Zhao, Shuhao Guan, Gerald Penn, Shinan Liu
https://arxiv.org/abs/2510.06870

$λ$-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
Reinforcement Learning with Human Feedback (RLHF) has been the dominant approach for improving the reasoning capabilities of Large Language Models (LLMs). Recently, Reinforcement Learning with Verifiable Rewards (RLVR) has simplified this paradigm by replacing the reward and value models with rule-based verifiers. A prominent example is Group Relative Policy Optimization (GRPO). However, GRPO inherently suffers from a length bias, since the same advantage is uniformly assigned to all tokens of …

Evolutionary Profiles for Protein Fitness Prediction
Jigang Fan, Xiaoran Jiao, Shengdong Lin, Zhanming Liang, Weian Mao, Chenchen Jing, Hao Chen, Chunhua Shen
https://arxiv.org/abs/2510.07286

Evolutionary Profiles for Protein Fitness Prediction
Predicting the fitness impact of mutations is central to protein engineering but constrained by limited assays relative to the size of sequence space. Protein language models (pLMs) trained with masked language modeling (MLM) exhibit strong zero-shot fitness prediction; we provide a unifying view by interpreting natural evolution as implicit reward maximization and MLM as inverse reinforcement learning (IRL), in which extant sequences act as expert demonstrations and pLM log-odds serve as fitne…

I am going to push our Gaza Verified Emergency Appeal hard today as the situation in Gaza manages somehow to get even worse just when you thought it couldn’t.
https://gaza-verified.org/emergency/
Message from our new member @…

Gaza Verified
Emergency appeal to get the Gaza Verified families stuck in the danger zone in the North to relative safety in the South.

Quantum Reference Frames in Arbitrary Charge Sectors: Accessibility of Global Properties from Internal Perspectives
Anne-Catherine de la Hamette, Viktoria Kabel, \v{C}aslav Brukner
https://arxiv.org/abs/2510.09100

Quantum Reference Frames in Arbitrary Charge Sectors: Accessibility of Global Properties from Internal Perspectives
A fundamental question in the field of quantum reference frames concerns what global properties of a system can be determined by observers operating entirely from within that system. We investigate this question by extending both the perspectival and perspective-neutral approaches beyond the commonly studied zero total momentum case to arbitrary fixed charge sectors. When the entire system, including the reference frames, moves at a fixed total momentum $P$ relative to an external frame, this g…

TL; DR: We still need to raise $393.13 so we can send payments to @… and @… today :)
https…

Gaza Verified
Emergency appeal to get the Gaza Verified families stuck in the danger zone in the North to relative safety in the South.

Computational Relative Entropy
Johannes Jakob Meyer, Asad Raza, Jacopo Rizzo, Lorenzo Leone, Sofiene Jerbi, Jens Eisert
https://arxiv.org/abs/2509.20472 https://

Computational Relative Entropy
Our capacity to process information depends on the computational power at our disposal. Information theory captures our ability to distinguish states or communicate messages when it is unconstrained with unrivaled elegance. For computationally bounded observers the situation is quite different. They can, for example, be fooled to believe that distributions are more random than they actually are. In our work, we go beyond the prevailing single-shot approach and take a new direction in computatio…

Neighborhood-Adaptive Generalized Linear Graph Embedding with Latent Pattern Mining
S. Peng, L. Hu, W. Zhang, B. Jie, Y. Luo
https://arxiv.org/abs/2510.05719 https://

Neighborhood-Adaptive Generalized Linear Graph Embedding with Latent Pattern Mining
Graph embedding has been widely applied in areas such as network analysis, social network mining, recommendation systems, and bioinformatics. However, current graph construction methods often require the prior definition of neighborhood size, limiting the effective revelation of potential structural correlations in the data. Additionally, graph embedding methods using linear projection heavily rely on a singular pattern mining approach, resulting in relative weaknesses in adapting to different …