Tootfinder

How much are Cardinals worth? Team climbs NFL values list, Cowboys at the top https://www.azcentral.com/story/sports/nfl/cardinals/2025/08/13/nfl-team-values-2025-money-dallas-cowboys-arizona-cardinals/8564848…

Evaluation of Black-Box XAI Approaches for Predictors of Values of Boolean Formulae
Stav Armoni-Friedmann, Hana Chockler, David A. Kelly
https://arxiv.org/abs/2509.09982 https:/…

Evaluation of Black-Box XAI Approaches for Predictors of Values of Boolean Formulae
Evaluating explainable AI (XAI) approaches is a challenging task in general, due to the subjectivity of explanations. In this paper, we focus on tabular data and the specific use case of AI models predicting the values of Boolean functions. We extend the previous work in this domain by proposing a formal and precise measure of importance of variables based on actual causality, and we evaluate state-of-the-art XAI tools against this measure. We also present a novel XAI tool B-ReX, based on the e…

The fantasy football quarterbacks to draft ... and those to avoid https://www.nytimes.com/athletic/6484015/2025/07/15/fantasy-football-draft-best-qb-rankings-values-adp/

If you set limits for a scale (e.g. x-axis) in ggplot, how would you like data outside of that range be handled? There is the oob parameter for that and a set of functions to use with it: https://scales.r-lib.org/reference/oob.html

Parallel repetition of expanded, and multiplayer, Quantum games: anchoring, optimal values, generalized error bounds, dependency-breaking as symmetry-breaking
Pete Rigas
https://arxiv.org/abs/2508.09380

Parallel repetition of expanded, and multiplayer, Quantum games: anchoring, optimal values, generalized error bounds, dependency-breaking as symmetry-breaking
We demonstrate that parallel repetition of the multiplayer anchored optimal value, $ω\big( G_{\bot} \big)^{\otimes n}$, decays exponentially. Central to our approach are several probabilistic computations, pertaining to: (1) the computation of expected values for quantifying how the winning probability of the game is likely to change under the anchoring transformation; (2) the computation of positive operator valued measurements, which can be placed into direct correspondence with several prob…

Meromorphic functions that partially share values with their first derivative
Andreas Sauer, Andreas Schweizer
https://arxiv.org/abs/2508.09548 https://arx…

Meromorphic functions that partially share values with their first derivative
We consider uniqueness results for meromorphic functions $f:{\mathbb C} \to \widehat{\mathbb C}$ such that for certain values $a\in {\mathbb C}$ the implication $f(z)=a \Rightarrow f'(z)=a$ holds, i.e. that $f$ and $f'$ share values {\it partially}. In particular, we give a result for four partially shared values.

Large values of Dirichlet polynomials with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang, Hao Zhang, Shengbo Zhao
https://arxiv.org/abs/2509.09771 https://…

Large values of Dirichlet polynomials with multiplicative coefficients
In this paper, we investigate large values of Dirichlet polynomials with multiplicative coefficients $\sum_{n\le N}f(n)n^{it}$, where $1\ll t\le T$ for large $T$. We prove an improved Omega result in the region $\exp((\log T)^{\frac12+\varepsilon})\le N\le\sqrt T$, where $T$ is large. We also show an Omega result when $\log N$ is around $\sqrt{\log T\log_2T}$.

Coinbase invests in Indian crypto exchange CoinDCX to expand into India and the Middle East; CEO Sumit Gupta said the deal values CoinDCX at $2.45B post-money (Danny Park/The Block)
https://www.theblock.co/post/374683/coinbase-invests-coindcx

A lot of people seem unaware of who charlie kirk was in fact, not just fantasy.
Perhaps this can help.
Murder is bad, and violence is never a good answer.
(sources follow in comment)
#USpol #kirk

Trump allowed Israel to almost completely destroy Gaza, kill tens of thousands innocent civilians, now we should praise him for making "peace" on the rubble that is left. Meanwhile in his own country, democracy and the rule of law are in fast decline. The breakdown of the values the USA once stood for is almost complete. Next will be the further destruction of US economy and society, it will not be a pretty sight I am afraid.

"This convening is not an isolated event. It’s the first step in scaling a movement that reimagines how values-driven open science organisations can grow together, share resources, and strengthen the ecosystem we collectively serve. By working together, we can ensure that the future of open science is not only innovative, but also equitable, sustainable, and resilient."
https://www.carpentries.org/blog/2025/09/convening-to-reclaim-and-sustain-open-science-communities/
Great to see this forward looking collaborative work being done by @… @… @… @… and OLS

Snufkin is often seen as a free spirit who values personal freedom and dislikes material possessions or hierarchical control. He is a carefree, anti-establishment character who despises private property and the trappings of capitalism, as evidenced by his habit of tearing down "private property" signs.
He embodies a philosophy of simplicity, independence, and living in harmony with nature, making him appear anti-hierarchical and anti-capitalist in spirit. This aligns with hi…

“On a fundamental level, these are signs that we are losing the story of who we are as a country. This is a crisis of narrative. Are we no longer a country of immigrants? Are we no longer a country that values the dignity of the human person, individual liberties and with a healthy regard for checks and balances?”

Large values of character sums with multiplicative coefficients
Zikang Dong, Zhonghua Li, Yutong Song, Shengbo Zhao
https://arxiv.org/abs/2508.09750 https://

Large values of character sums with multiplicative coefficients
In this article, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n\le N}f(n)χ(n)$. We prove an Omega result in the region $\exp((\log q)^{\frac12+\varepsilon})\le N\le\sqrt q$, where $q$ is the prime modulus.

Directional replicability: when can the factor of two be omitted
Vera Djordjilovi\'c, Tamar Sofer, Jonathan M. Dreyfuss
https://arxiv.org/abs/2510.11273 https://

Directional replicability: when can the factor of two be omitted
Directional replicability addresses the question of whether an effect studied across $n$ independent studies is present with the same direction in at least $r$ of them, for $r \geq 2$. When the expected direction of the effect is not specified in advance, the state of the art recommends assessing replicability separately by combining one-sided $p$-values for both directions (left and right), and then doubling the smaller of the two resulting combined $p$-values to account for multiple testing. …

General mean-field BSDEs with integrable terminal values
Weimin Jiang, Juan Li, Yan Shen
https://arxiv.org/abs/2510.11067 https://arxiv.org/pdf/2510.11067

General mean-field BSDEs with integrable terminal values
This paper investigates $L^{1}$ solutions for mean-field backward stochastic differential equations (MFBSDEs) under different weak assumptions in both one-dimensional and multi-dimensional settings, whose generator $f(ω,t,y,z,μ)$ depends not only on the solution process $(Y,Z)$ but also on the law of $(Y,Z)$. In the one-dimensional case where $f$ depends on the law of $Y$, we show with the help of a test function method and a localization procedure that such type of equations with an integrab…

Exact deflation for accurate SVD computation of nonnegative bidiagonal products of arbitrary rank
Rong Huang, Jungong Xue
https://arxiv.org/abs/2510.10502 https://

Exact deflation for accurate SVD computation of nonnegative bidiagonal products of arbitrary rank
Dealing with zero singular values can be quite challenging, as they have the potential to cause numerous numerical difficulties. This paper presents a method for computing the singular value decomposition (SVD) of a nonnegative bidiagonal product of arbitrary rank, regardless of whether the factors are of full rank or rank-deficient, square or rectangular. A key feature of our method is its ability to exactly deflate all zero singular values with a favorable complexity, irrespective of rank def…

Solar continues to surge
In keeping with China’s green push, the country is leading the surge in global solar installations. In the first half of 2025, the world installed 380 GW of new solar capacity, a 64% jump from the same period last year. China accounted for 67% of that growth, installing more than twice the rest of the world combined.

Hadamard-L\'{e}vy theorems for maps taking values in a finite dimensional space
Yacine Chitour, Zhengping Ji, Emmanuel Tr\'elat
https://arxiv.org/abs/2510.11206 https://…

Hadamard-Lévy theorems for maps taking values in a finite dimensional space
We propose global surjectivity theorems of differentiable maps based on second order conditions. Using the homotopy continuation method, we demonstrate that, for a $C^2$ differentiable map from a Hilbert space to a finite-dimensional Euclidean space, when its second-order differential has uniform upper and lower bounds, it has a global path-lifting property in the presence of singularities. This is then applied to the nonlinear motion planning problem, establishing in some cases the well-posedn…

Series D, Episode 01 - Rescue
AVON: But not without a gun.
DORIAN: That's right, Soolin.
[Soolin examines her gun.]
SOOLIN: You're right. I did underestimate you, my dear.
https://blake.torpidity.net/m/401/484 B7B4

Non-Expansive Fuzzy Coalgebraic Logic
Stefan Gebhart, Lutz Schr\"oder, Paul Wild
https://arxiv.org/abs/2510.11080 https://arxiv.org/pdf/2510.11080

Non-Expansive Fuzzy Coalgebraic Logic
Fuzzy logic extends the classical truth values "true" and "false" with additional truth degrees in between, typically real numbers in the unit interval. More specifically, fuzzy modal logics in this sense are given by a choice of fuzzy modalities and a fuzzy propositional base. It has been noted that fuzzy modal logics over the Zadeh base, which interprets disjunction as maximum, are often computationally tractable but on the other hand add little in the way of expressivity to their classical c…

Accenture plans to acquire Australian cybersecurity company CyberCX from private equity firm BGH Capital; the deal reportedly values CyberCX at more than AU$1B (Mark Anderson/Bloomberg Law)
https://news.bloomberglaw.com/tech-and-tel…

Accenture Acquires Australian Cybersecurity Firm CyberCX
Accenture Plc is buying Australian cybersecurity firm CyberCX, its largest acquisition to date in the sector that will boost operations in the Asia-Pacific region.

Exploiting Discriminative Codebook Prior for Autoregressive Image Generation
Longxiang Tang, Ruihang Chu, Xiang Wang, Yujin Han, Pingyu Wu, Chunming He, Yingya Zhang, Shiwei Zhang, Jiaya Jia
https://arxiv.org/abs/2508.10719

Exploiting Discriminative Codebook Prior for Autoregressive Image Generation
Advanced discrete token-based autoregressive image generation systems first tokenize images into sequences of token indices with a codebook, and then model these sequences in an autoregressive paradigm. While autoregressive generative models are trained only on index values, the prior encoded in the codebook, which contains rich token similarity information, is not exploited. Recent studies have attempted to incorporate this prior by performing naive k-means clustering on the tokens, helping to…

A Comprehensive Evaluation framework of Alignment Techniques for LLMs
Muneeza Azmat, Momin Abbas, Maysa Malfiza Garcia de Macedo, Marcelo Carpinette Grave, Luan Soares de Souza, Tiago Machado, Rogerio A de Paula, Raya Horesh, Yixin Chen, Heloisa Caroline de Souza Pereira Candello, Rebecka Nordenlow, Aminat Adebiyi
https://arxiv.org/abs/250…

A Comprehensive Evaluation framework of Alignment Techniques for LLMs
As Large Language Models (LLMs) become increasingly integrated into real-world applications, ensuring their outputs align with human values and safety standards has become critical. The field has developed diverse alignment approaches including traditional fine-tuning methods (RLHF, instruction tuning), post-hoc correction systems, and inference-time interventions, each with distinct advantages and limitations. However, the lack of unified evaluation frameworks makes it difficult to systematica…

The Morality of Probability: How Implicit Moral Biases in LLMs May Shape the Future of Human-AI Symbiosis
Eoin O'Doherty, Nicole Weinrauch, Andrew Talone, Uri Klempner, Xiaoyuan Yi, Xing Xie, Yi Zeng
https://arxiv.org/abs/2509.10297

The Morality of Probability: How Implicit Moral Biases in LLMs May Shape the Future of Human-AI Symbiosis
Artificial intelligence (AI) is advancing at a pace that raises urgent questions about how to align machine decision-making with human moral values. This working paper investigates how leading AI systems prioritize moral outcomes and what this reveals about the prospects for human-AI symbiosis. We address two central questions: (1) What moral values do state-of-the-art large language models (LLMs) implicitly favour when confronted with dilemmas? (2) How do differences in model architecture, cul…

The Strength of Local Structures in Decentralized Network Formation
Jose M. Betancourt
https://arxiv.org/abs/2510.10997 https://arxiv.org/pdf/2510.10997

The Strength of Local Structures in Decentralized Network Formation
I study dynamic network formation games in which agents assign arbitrary values to network structures. Any such game admits an equivalent representation in terms of the values agents assign to its sub-structures, linking local valuations to equilibrium behavior. The game is a potential game precisely when all participants in a structure value it equally, yielding a closed-form stationary distribution. When valuations are restricted to a finite set of repeated sub-structures, or motifs, the mode…

Value bounds and Convergence Analysis for Averages of LRP attributions
Alexander Binder, Nastaran Takmil-Homayouni, Urun Dogan
https://arxiv.org/abs/2509.08963 https://

Value bounds and Convergence Analysis for Averages of LRP attributions
We analyze numerical properties of Layer-wise relevance propagation (LRP)-type attribution methods by representing them as a product of modified gradient matrices. This representation creates an analogy to matrix multiplications of Jacobi-matrices which arise from the chain rule of differentiation. In order to shed light on the distribution of attribution values, we derive upper bounds for singular values. Furthermore we derive component-wise bounds for attribution map values. As a main result,…

UK "values"

Perfect message authentication codes are robust to small deviations from uniform key distributions
Boris Ryabko
https://arxiv.org/abs/2508.09783 https://ar…

Perfect message authentication codes are robust to small deviations from uniform key distributions
We investigate the impact of (possible) deviations of the probability distribution of key values from a uniform distribution for the information-theoretic strong, or perfect, message authentication code. We found a simple expression for the decrease in security as a function of the statistical distance between the real key probability distribution and the uniform one. In a sense, a perfect message authentication code is robust to small deviations from a uniform key distribution.

Calibrating Generative Models
Henry D. Smith, Nathaniel L. Diamant, Brian L. Trippe
https://arxiv.org/abs/2510.10020 https://arxiv.org/pdf/2510.10020

Calibrating Generative Models
Generative models frequently suffer miscalibration, wherein class probabilities and other statistics of the sampling distribution deviate from desired values. We frame calibration as a constrained optimization problem and seek the closest model in Kullback-Leibler divergence satisfying calibration constraints. To address the intractability of imposing these constraints exactly, we introduce two surrogate objectives for fine-tuning: (1) the relax loss, which replaces the constraint with a miscal…

Search-based Hyperparameter Tuning for Python Unit Test Generation
Stephan Lukasczyk, Gordon Fraser
https://arxiv.org/abs/2510.08716 https://arxiv.org/pdf/…

Search-based Hyperparameter Tuning for Python Unit Test Generation
Search-based test-generation algorithms have countless configuration options. Users rarely adjust these options and usually stick to the default values, which may not lead to the best possible results. Tuning an algorithm's hyperparameters is a method to find better hyperparameter values, but it typically comes with a high demand of resources. Meta-heuristic search algorithms -- that effectively solve the test-generation problem -- have been proposed as a solution to also efficiently tune param…

An unintended consequence of Trumpian authoritarianism is a massive awakening of citizens to the values and benefits of American democracy, and a determination to protect it.
In June, under the banner of
“No Kings,”
more than 5 million people, in more than 2,000 cities and towns, in all 50 states, participated in one of the largest protests in U.S. history.
Every week since, protests have continued with thousands of participants in small and large cities, blue and re…

It Turns Out Americans Value Their Constitutional Rights
Resistance to authoritarianism spurs passion for democratic values and the determination to protect them.

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
Sumukha Sathyanarayana, N. Guru Sharan
https://arxiv.org/abs/2510.10093 https://

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
In this paper, we establish Kronecker limit type formulas for the generalized Mordell--Tornheim zeta function $Θ(r,s,t,x)$ as a function of the third variable, in terms of Riemann-zeta and Gamma values. We also give series evaluations of $Θ(r,s,t,x)$ in terms of Herglotz-Zagier type functions, and their derivatives. As applications of this, we derive Kronecker limit type formula in the second variable and a new infinite family of modular relations called mixed functional equations. We also st…

Achieving Meaningful Collaboration: Worker-centered Design of a Physical Human-Robot Collaborative Blending Task
Nicky Mol, Luka Peternel, Alessandro Ianniello, Denis Zatyagov, Auke Nachenius, Stephan Balvert, J. Micah Prendergast, Sara Muscolo, Olger Siebinga, Eva Verhoef, Deborah Forster, David A. Abbink
https://arxiv.org/abs/2510.12340

Achieving Meaningful Collaboration: Worker-centered Design of a Physical Human-Robot Collaborative Blending Task
The use of robots in industrial settings continues to grow, driven by the need to address complex societal challenges such as labor shortages, aging populations, and ever-increasing production demands. In this abstract, we advocate for (and demonstrate) a transdisciplinary approach when considering robotics in the workplace. Transdisciplinarity emphasizes the integration of academic research with pragmatic expertise and embodied experiential knowledge, that prioritize values such as worker well…

Exploring Artificial Intelligence and Culture: Methodology for a comparative study of AI's impact on norms, trust, and problem-solving across academic and business environments
Matthias Huemmer, Theophile Shyiramunda, Michelle J. Cummings-Koether
https://arxiv.org/abs/2510.11530

Exploring Artificial Intelligence and Culture: Methodology for a comparative study of AI's impact on norms, trust, and problem-solving across academic and business environments
This paper proposes a rigorous framework to examine the two-way relationship between artificial intelligence (AI), human cognition, problem-solving, and cultural adaptation across academic and business settings. It addresses a key gap by asking how AI reshapes cognitive processes and organizational norms, and how cultural values and institutional contexts shape AI adoption, trust, and use over time. We employ a three-wave longitudinal design that tracks AI knowledge, perceived competence, trust…

Rank Two Sheaves With Low Discriminant on the Fano Threefold of Index 2 and Degree 5
Danil A. Vassiliev
https://arxiv.org/abs/2510.10608 https://arxiv.org/…

Rank Two Sheaves With Low Discriminant on the Fano Threefold of Index 2 and Degree 5
We describe rank 2 Gieseker semistable sheaves $E$ on the Fano threefold $X_5$ of index 2 and degree 5 with maximal third Chern class $c_3(E)$ for all possible low values of discriminant $\overlineΔ_H(E)\le 40$. The work uses the theory of tilt-stability and Bridgeland stability conditions on smooth projective threefolds. We also make a conjecture about the rank 2 sheaves on $X_5$ with maximal $c_3$ and discriminant big enough.

Metric Dimension of Generalized Theta Graphs
Nadia Benakli, Nicole Froitzheim, David Martinez
https://arxiv.org/abs/2510.12100 https://arxiv.org/pdf/2510.1…

Metric Dimension of Generalized Theta Graphs
A vertex $w$ in a graph $G$ is said to resolve two vertices $u$ and $v$ if $d(w,u)\neq d(w, v)$. A set $W$ of vertices is a resolving set for $G$ if every pair of distinct vertices is resolved by some vertex in $W$. The metric dimension of $G$ is the minimum cardinality of such a set. In this paper, we investigate the metric dimension of generalized theta graphs, providing exact values and structural insights for several subclasses.

Strings from Almost Nothing
Clifford Cheung, Grant N. Remmen, Francesco Sciotti, Michele Tarquini
https://arxiv.org/abs/2508.09246 https://arxiv.org/pdf/25…

Strings from Almost Nothing
We argue that string theory emerges inevitably from a few simple assumptions about physical scattering. Consistency alone requires that all tree-level four-point scattering amplitudes exhibit vanishing residues at prescribed values of the momentum transfer. Assuming ultrasoft high-energy behavior, we then prove that the space of minimally consistent amplitudes, whose residues exhibit these mandated zeros and nothing more, are precisely the amplitudes of Veneziano and Virasoro-Shapiro, thus esta…

The Freed--Quinn line bundle from higher geometry
Daniel Berwick-Evans, Emily Cliff, Laura Murray
https://arxiv.org/abs/2510.10773 https://arxiv.org/pdf/25…

The Freed--Quinn line bundle from higher geometry
For a finite group $G$, and level $α\in Z^3(BG;{\rm U}(1))$, Freed and Quinn construct a line bundle over the moduli space of $G$-bundles on surfaces. Global sections determine the values of Chern--Simons theory at level $α$ on surfaces. In this paper, we provide an alternate construction using tools from higher geometry: the pair $(G,α)$ determines a 2-group group, and the Freed--Quinn line arises as a categorical truncation of the bicategory of 2-group bundles.

@… But yes this kind of stuff would be great for non-techies because they can just point and click and it remains super keyboard accessible as well. Like on this first screen. You can just press Enter to start install or click OK. Also if you want to change any of those values, you can click, or use arrow keys and Enter, or just type the numbers to go into those sections.

Increasing Value of Information Implies Separable Utility
Michel de Lara (CERMICS)
https://arxiv.org/abs/2510.11102 https://arxiv.org/pdf/2510.11102…

Increasing Value of Information Implies Separable Utility
We consider decision-making under incomplete information about an unknown state of nature. Utility acts (that is, utility vectors indexed by states of nature) and beliefs (probability distributions over the states of nature) are naturally paired by bilinear duality, giving the expected utility. With this pairing, an expected utility maximizer (DM) is characterized by a continuous closed convex comprehensive set of utility acts (c-utility act set). We show that DM M values information more than …

Stably exotic 4-manifolds
Daniel Kasprowski, Mark Powell
https://arxiv.org/abs/2508.10499 https://arxiv.org/pdf/2508.10499…

Stably exotic 4-manifolds
A pair of closed, smooth $4$-manifolds $M$ and $M'$ are stably exotic if they are stably homeomorphic but not stably diffeomorphic, where stabilisation refers to connected sum with copies of $S^2 \times S^2$. Orientable stable exotica do not exist by a result of Gompf, but Kreck showed that nonorientable examples are plentiful. We investigate which values of the fundamental group $π$ and the first and second Stiefel-Whitney classes $w_1$ and $w_2$ admit stably exotic pairs, providing a complet…

On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures
Haizhong Li, Hiroshi Tamaru, Zeke Yao
https://arxiv.org/abs/2510.12284 https://…

On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures
In this paper, we study the Hopf hypersurfaces of the complex hyperbolic quadric $Q^{m*}=SO^o_{2,m}/(SO_2\times SO_m)$ ($m\geq3$) with constant principal curvatures. We classify the Hopf hypersurfaces of $Q^{m*}$ ($m\geq3$) with at most two distinct constant principal curvatures. For Hopf hypersurfaces with three or four distinct constant principal curvatures, we determine the values of the principal curvatures as well as their multiplicities.

Advances in Logic-Based Entity Resolution: Enhancing ASPEN with Local Merges and Optimality Criteria
Zhliang Xiang, Meghyn Bienvenu, Gianluca Cima, V\'ictor Guti\'errez-Basulto, Yazm\'in Ib\'a\~nez-Garc\'ia
https://arxiv.org/abs/2508.10504

Advances in Logic-Based Entity Resolution: Enhancing ASPEN with Local Merges and Optimality Criteria
In this paper, we present ASPEN+, which extends an existing ASP-based system, ASPEN,for collective entity resolution with two important functionalities: support for local merges and new optimality criteria for preferred solutions. Indeed, ASPEN only supports so-called global merges of entity-referring constants (e.g. author ids), in which all occurrences of matched constants are treated as equivalent and merged accordingly. However, it has been argued that when resolving data values, local merg…

Reimagining Totemism: Mystical Experience, Life Values, and Contemporary Art Practices https://networks.h-net.org/group/announcements/20127143/reimagining-totemism-mystical-experience-life-values-and-contemporary

Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions
Jeanine Van Order
https://arxiv.org/abs/2510.10303 https://

Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions
We give two distinct proofs of the Gross-Zagier formula in terms of sums of automorphic Green's functions realized as regularized theta lifts, including one involving arithmetic Hirzebruch-Zagier divisors on the Hilbert modular surface $X_0(N) \times X_0(N)$. We then describe applications to the refined conjecture of Birch and Swinnerton-Dyer. Through these calculations, we also describe known and conjectural relations of the central derivative values of Rankin-Selberg $L$-functions that appear…

Replaced article(s) found for cs.SI. https://arxiv.org/list/cs.SI/new
[1/1]:
- Investigating Human Values in Online Communities
Nadav Borenstein, Arnav Arora, Lucie-Aim\'ee Kaffee, Isabelle Augenstein

Empirical Investigation into Configuring Echo State Networks for Representative Benchmark Problem Domains
Brooke R. Weborg, Gursel Serpen
https://arxiv.org/abs/2508.10887 https:…

Empirical Investigation into Configuring Echo State Networks for Representative Benchmark Problem Domains
This paper examines Echo State Network, a reservoir computer, performance using four different benchmark problems, then proposes heuristics or rules of thumb for configuring the architecture, as well as the selection of parameters and their values, which are applicable to problems within the same domain, to help serve to fill the experience gap needed by those entering this field of study. The influence of various parameter selections and their value adjustments, as well as architectural change…

Abstract String Domain Defined with Word Equations as a Reduced Product (Extended Version)
Antonina Nepeivoda, Ilya Afanasyev
https://arxiv.org/abs/2510.11007 https://

Abstract String Domain Defined with Word Equations as a Reduced Product (Extended Version)
We introduce a string-interval abstract domain, where string intervals are characterized by systems of word equations (encoding lower bounds on string values) and word disequalities (encoding upper bounds). Building upon the lattice structure of string intervals, we define an abstract string object as a reduced product on a string property semilattice, determined by length-non-increasing morphisms. We consider several reduction strategies for abstract string objects and show that upon these str…

Theoretical guarantees for change localization using conformal p-values
Swapnaneel Bhattacharyya, Aaditya Ramdas
https://arxiv.org/abs/2510.08749 https://a…

Theoretical guarantees for change localization using conformal p-values
Changepoint localization aims to provide confidence sets for a changepoint (if one exists). Existing methods either relying on strong parametric assumptions or providing only asymptotic guarantees or focusing on a particular kind of change(e.g., change in the mean) rather than the entire distributional change. A method (possibly the first) to achieve distribution-free changepoint localization with finite-sample validity was recently introduced by \cite{dandapanthula2025conformal}. However, whil…

CMB Constraints on Quantized Spatial Curvature $\Omega_K$ in globally CPT-symmetric universes
Wei-Ning Deng, Will Handley
https://arxiv.org/abs/2509.10379 https://

CMB Constraints on Quantized Spatial Curvature $Ω_K$ in globally CPT-symmetric universes
The periodic solution of the Friedmann equation in conformal time, implies that only cosmological perturbations exhibiting corresponding symmetries are physically permissible, leading to a discrete spectrum of allowed wave vectors. Furthermore, in a spatially closed universe, these wave vectors are independently constrained to be integers. Matching these two distinct quantization conditions provides a novel theoretical constraint on the possible values of spatial curvature. In this work, we num…

Metrics for Assessing Changes in Flow-based Networks
Micha{\l} Rzepka, Piotr Cho{\l}da
https://arxiv.org/abs/2508.09573 https://arxiv.org/pdf/2508.09573

Metrics for Assessing Changes in Flow-based Networks
This paper addresses the challenges of evaluating network performance in the presence of fluctuating traffic patterns, with a particular focus on the impact of peak data rates on network resources. We introduce a set of metrics to quantify network load and measure the impact of individual flows on the overall network state. By analyzing link and flow data through percentile values and sample distributions, and introducing the Utilization Score metric, the research provides insights into resourc…

Reanalysis of the eclipses of LHS 1140 c: No evidence of an atmosphere and implications for the internal structure of the planet
Alexandra Rochon, \'Etienne Artigau, Drew Weisserman, Lisa Dang, Ren\'e Doyon, Charles Cadieux, Ryan Cloutier
https://arxiv.org/abs/2510.11397

Reanalysis of the eclipses of LHS 1140 c: No evidence of an atmosphere and implications for the internal structure of the planet
We present the reanalysis of three 15 micron JWST/MIRI secondary eclipses of LHS 1140 c, a warm super-Earth (R$_{\rm{p}}$ = 1.272 R$_{\oplus}$) in a 3.78-day orbit around an M4.5 dwarf. We present a novel method for data reduction that leverages spatial derivatives of the point-spread function and compare it to widely used aperture photometry. Both methods yield eclipse depth consistent within 1 sigma of the values reported in the literature. We measure an eclipse depth of 271$^{+31}_{-30}$ ppm…

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In the last part of the video some figures that might draw some attention.
The Israel arms imports from the UK
Very different from earlier years.
From:
Israel’s arms imports from UK hit record high values – Channel 4 News
#Israel #Gaza #UK

Powerful Radio Sources as Probes of Black Hole Physics
Ruth A. Daly
https://arxiv.org/abs/2508.09914 https://arxiv.org/pdf/2508.09914

Powerful Radio Sources as Probes of Black Hole Physics
Powerful jetted radio sources for which the luminosity in directed kinetic energy has been empirically determined, independent of assumptions, are considered. The total outflow lifetime of each source determined in the context of detailed cosmological studies was found to depend only upon the luminosity in directed kinetic energy ($L$). The distributions of $L$, total outflow lifetime, and total outflow energy each have a broad range of values, as do the supermassive black hole masses. The tota…

I went down a rabbit hole trying to understand some health issues, and I ended up with an idea for a study that involves Espresso and heart disease risks that would be relatively easy to perform and could help make more informed health decisions. My journey (and this is only one tiny aspect, I've been thinking about this a lot) started a bit more than a year ago when I got a blood test as part of a health checkup that contained some concerning values, notably high glucose and high LDL. 🧵…

Concentration-Free Quantum Kernel Learning in the Rydberg Blockade
Ayana Sarkar, Martin Schnee, Roya Radgohar, Mojde Fadaie, Victor Drouin-Touchette, Stefanos Kourtis
https://arxiv.org/abs/2508.10819

Concentration-Free Quantum Kernel Learning in the Rydberg Blockade
Quantum kernel methods (QKMs) offer an appealing framework for machine learning on near-term quantum computers. However, QKMs generically suffer from exponential concentration, requiring an exponential number of measurements to resolve the kernel values, with the exception of trivial (i.e., classically simulable) kernels. Here we propose a QKM that is free of exponential concentration, yet remains hard to simulate classically. Our QKM utilizes the weak ergodicity-breaking many-body dynamics in …

M\"obius transforms and Shapley values for vector-valued functions on weighted directed acyclic multigraphs
Patrick Forr\'e, Abel Jansma
https://arxiv.org/abs/2510.05786

Möbius transforms and Shapley values for vector-valued functions on weighted directed acyclic multigraphs
We generalize the concept of Möbius inversion and Shapley values to directed acyclic multigraphs and weighted versions thereof. We further allow value functions (games) and thus their Möbius transforms (synergy function) and Shapley values to have values in any abelian group that is a module over a ring that contains the graph weights, e.g. vector-valued functions. To achieve this and overcome the obstruction that the classical axioms (linearity, efficiency, null player, symmetry) are not str…

Added 'a few' math tests to picolibc today. These create reference values using nickle with its arbitrary precision floating point arithmetic. The result is a list of functions which need work to improve their accuracy. Most are "close", with known errors of 1 or 2 ulp, but tgamma is in rough shape with errors of 56 ulp for binary64 and 97ulp for binary128. The complex functions are almost all in very rough shape with errors of thousands of ulps.

test-math: Add a few math tests by keith-packard · Pull Request #1095 · picolibc/picolibc
Generate test vectors for math functions using nickle scripts with separate values for 32, 64, 80 and 128 bit formats.

Established Psychometric vs. Ecologically Valid Questionnaires: Rethinking Psychological Assessments in Large Language Models
Dongmin Choi, Woojung Song, Jongwook Han, Eun-Ju Lee, Yohan Jo
https://arxiv.org/abs/2509.10078

Established Psychometric vs. Ecologically Valid Questionnaires: Rethinking Psychological Assessments in Large Language Models
Researchers have applied established psychometric questionnaires (e.g., BFI, PVQ) to measure the personality traits and values reflected in the responses of Large Language Models (LLMs). However, concerns have been raised about applying these human-designed questionnaires to LLMs. One such concern is their lack of ecological validity--the extent to which survey questions adequately reflect and resemble real-world contexts in which LLMs generate texts in response to user queries. However, it rem…

Proof of AutoML: SDN based Secure Energy Trading with Blockchain in Disaster Case
Salih Toprak, Muge Erel-Ozcevik
https://arxiv.org/abs/2509.10291 https://…

Proof of AutoML: SDN based Secure Energy Trading with Blockchain in Disaster Case
In disaster scenarios where conventional energy infrastructure is compromised, secure and traceable energy trading between solar-powered households and mobile charging units becomes a necessity. To ensure the integrity of such transactions over a blockchain network, robust and unpredictable nonce generation is vital. This study proposes an SDN-enabled architecture where machine learning regressors are leveraged not for their accuracy, but for their potential to generate randomized values suitab…

Stabilizing boundary time crystals through Non-markovian dynamics
Bandita Das, Rahul Ghosh, Victor Mukherjee
https://arxiv.org/abs/2508.09688 https://arxiv…

Stabilizing boundary time crystals through Non-markovian dynamics
We study Boundary time crystals (BTCs) in the presence of non-Markovian dynamics. In contrast to BTCs observed in earlier works in the Markovian regime, we show that non-Markovian dynamics can be highly beneficial for stabilizing BTCs over a wide range of parameter values, even in the presence of intermediate rates of dissipation. We analyze the effect of non-Markovian dynamics on BTCs using quantum Fisher information, order parameter, a measure of non-Markovianity, and a dynamical phase diagra…

Lights Out On Nearly Complete Graphs
Bradley Forrest, Riya Goyal
https://arxiv.org/abs/2508.09341 https://arxiv.org/pdf/2508.09341

Lights Out On Nearly Complete Graphs
We study the generalization of the game Lights Out in which the standard square grid board is replaced by a graph. We examine the probability that, when a graph is chosen uniformly at random from the set of graphs with $n$ vertices and $e$ edges, the resulting game of Lights Out is universally solvable. Our work focuses on nearly complete graphs, graphs for which $e$ is close to $\binom{n}{2}$. For large values of $n$, we prove that, among nearly complete graphs, the probability of selecting a …

Generalized Jeffreys's approximate objective Bayes factor: Model-selection consistency, finite-sample accuracy, and statistical evidence in 71,126 clinical trial findings
Puneet Velidi, Zhengxiao Wei, Shreena Nisha Kalaria, Yimeng Liu, C\'eline M. Laumont, Brad H. Nelson, Farouk S. Nathoo
https://arxiv.org/abs/2510.10358

Generalized Jeffreys's approximate objective Bayes factor: Model-selection consistency, finite-sample accuracy, and statistical evidence in 71,126 clinical trial findings
Concerns about the misuse and misinterpretation of p-values and statistical significance have motivated alternatives for quantifying evidence. We define a generalized form of Jeffreys's approximate objective Bayes factor (eJAB), a one-line calculation that is a function of the p-value, sample size, and parameter dimension. We establish conditions under which eJAB is model-selection consistent and verify them for ten statistical tests. We assess finite-sample accuracy by comparing eJAB with Mark…

UbiQTree: Uncertainty Quantification in XAI with Tree Ensembles
Akshat Dubey, Aleksandar An\v{z}el, Bahar \.Ilgen, Georges Hattab
https://arxiv.org/abs/2508.09639 https://

UbiQTree: Uncertainty Quantification in XAI with Tree Ensembles
Explainable Artificial Intelligence (XAI) techniques, such as SHapley Additive exPlanations (SHAP), have become essential tools for interpreting complex ensemble tree-based models, especially in high-stakes domains such as healthcare analytics. However, SHAP values are usually treated as point estimates, which disregards the inherent and ubiquitous uncertainty in predictive models and data. This uncertainty has two primary sources: aleatoric and epistemic. The aleatoric uncertainty, which refle…

Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
Yoshiaki Okumura
https://arxiv.org/abs/2508.08692 https://arxiv.org/pdf/2508…

Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
For rank-two $A$-motives defined over local fields with odd characteristic, we give an analogue of a theorem of Imai stating that abelian varieties with good reduction over $p$-adic fields have only finitely many torsion points values in cyclotomic towers. This implies the finiteness of torsion points of abelian Anderson $A$-modules. For rank-two Drinfeld $A$-modules over global function fields, we also give an analogue of a theorem of Ribet on torsion points of abelian varieties values in maxi…

Tensor-based compression of the sea temperature data
Ilya Kosolapov, Tatiana Sheloput, Sergey Matveev
https://arxiv.org/abs/2510.09778 https://arxiv.org/pd…

Tensor-based compression of the sea temperature data
In this work we investigate efficient data compression for spatiotemporal Black, Azov and Marmara Seas temperature tensors that contain significant number of missing values. These tensors have a complex structure influenced by the coastlines and bathymetry, as well as temporal temperature changes. While such missing data typically provokes utilization of tensor completion algorithms, we demonstrate that standard SVD-based compression approaches (including the Tucker, Tensor-Train (TT) and Quant…

Provable avoidance of barren plateaus for GM-QAOA
Boris Tsvelikhovskiy, Matthew Nuyten, Bojko N. Bakalov
https://arxiv.org/abs/2509.10424 https://arxiv.org…

Provable avoidance of barren plateaus for GM-QAOA
We analyze the dynamical Lie algebras (DLAs) associated with the Grover-mixer variant of the Quantum Approximate Optimization Algorithm (GM-QAOA). When the initial state is the uniform superposition of computational basis states, we show that the corresponding DLA is isomorphic to either $\mathfrak{su}_{r} \oplus \mathfrak{u}_{1}^{\oplus 2}$ or $\mathfrak{su}_{r} \oplus \mathfrak{u}_{1}$, where \(r\) denotes the number of distinct values of the objective function. We also establish an analogous…

Rational functions that share finite values with their first derivative
Andreas Sauer, Andreas Schweizer
https://arxiv.org/abs/2509.08517 https://arxiv.org…

Rational functions that share finite values with their first derivative
We treat shared value problems for rational functions $R(z)$ and their derivative $R'(z)$ in the plane and on the sphere. We also consider shared values for the pair $R(w)$ and $\partial_{z} R = λw \cdot R'(w)$ on ${\mathbb C} \setminus \{ 0 \}$ and $\widehat{\mathbb C}$, again with rational functions $R$. In ${\mathbb C} \setminus \{ 0 \}$ this is related to shared values of meromorphic functions $f : {\mathbb C} \to \widehat{\mathbb C}$ and $f'$ through $f(z)=R(w)$ with $w=\exp(λz)$, while …

Series B, Episode 04 - Horizon
BLAKE: That's right.
RO: The name's forbidden. You can't cling to the past. Paura shouldn't have spoken it.
BLAKE: Huh! He probably thought he had nothing to lose - under the circumstances.
RO: Circumstances?
https://blake.torpidity.net/m/204/316

Quantifying and testing dependence to categorical variables
Siegfried H\"ormann, Daniel Strenger-Galvis
https://arxiv.org/abs/2509.10268 https://arxiv…

Quantifying and testing dependence to categorical variables
We suggest a dependence coefficient between a categorical variable and some general variable taking values in a metric space. We derive important theoretical properties and study the large sample behaviour of our suggested estimator. Moreover, we develop an independence test which has an asymptotic $χ^2$-distribution if the variables are independent and prove that this test is consistent against any violation of independence. We discuss some extensions, including a variant of the coefficient f…

CAPOS: The bulge Cluster APOgee Survey VIII. Final ASPCAP results for all clusters
Doug Geisler, Cesar Mu\~noz, Sandro Villanova, Roger E. Cohen, Dante Minniti, Antonela Monachesi, Steven R. Majewski, Andrea Kunder, Beatriz Barbuy, Katia Cunha, Verne Smith, Carolina Montecinos, Wisthon Haro Moya, Nicolas Barrera, Matias Bla\~na
https://arx…

CAPOS: The bulge Cluster APOgee Survey VIII. Final ASPCAP results for all clusters
Bulge globular clusters(BGCs) are exceptional tracers of the formation and chemodynamical evolution of this oldest Galactic component.However, until now, observational difficulties have prevented us from taking full advantage of these powerful Galactic archeological tools. CAPOS, the bulge Cluster APOgee Survey, addresses this key topic by observing a large number of BGCs, most of which have been poorly studied. We aim to obtain accurate mean values for metallicity,[alpha/Fe],and radial velocit…

MVPBench: A Benchmark and Fine-Tuning Framework for Aligning Large Language Models with Diverse Human Values
Yao Liang, Dongcheng Zhao, Feifei Zhao, Guobin Shen, Yuwei Wang, Dongqi Liang, Yi Zeng
https://arxiv.org/abs/2509.08022

MVPBench: A Benchmark and Fine-Tuning Framework for Aligning Large Language Models with Diverse Human Values
The alignment of large language models (LLMs) with human values is critical for their safe and effective deployment across diverse user populations. However, existing benchmarks often neglect cultural and demographic diversity, leading to limited understanding of how value alignment generalizes globally. In this work, we introduce MVPBench, a novel benchmark that systematically evaluates LLMs' alignment with multi-dimensional human value preferences across 75 countries. MVPBench contains 24,020…

Approximating the coefficients of the Bessel functions
Andrew Yao
https://arxiv.org/abs/2510.10370 https://arxiv.org/pdf/2510.10370

Approximating the coefficients of the Bessel functions
For the type A, BC, and D root systems, we determine equivalent conditions between the coefficients of an exponential holomorphic function and the asymptotic values taken by the Dunkl bilinear form when one of its entries is the function. We establish these conditions over the $|θN| \rightarrow\infty$ regime for the type A and D root systems and over the $|θ_0 N|\rightarrow \infty, \frac{θ_1}{θ_0 N}\rightarrow c\in\mathbb{C}$ regime for the type BC root system. We also g…

New nickle release today. This adds complex numbers, adds more math functions and fixes some existing ones. I'm using all of this to generate test vectors for picolibc math functions. More news about that when I manage to get the tests through CI.
Here's the nickle bits:
https://github.com/keith-…

Release Version 2.105 · keith-packard/nickle
Add more math functions Improve performance of log for large values. Improve performance of gamma for negative values. Test gamma using Legendre duplication formula. Improve accuracy and avoid infi...

Regression adjustment in covariate-adaptive randomized experiments with missing covariates
Wanjia Fu, Yingying Ma, Hanzhong Liu
https://arxiv.org/abs/2508.10061 https://

Regression adjustment in covariate-adaptive randomized experiments with missing covariates
Covariate-adaptive randomization is widely used in clinical trials to balance prognostic factors, and regression adjustments are often adopted to further enhance the estimation and inference efficiency. In practice, the covariates may contain missing values. Various methods have been proposed to handle the covariate missing problem under simple randomization. However, the statistical properties of the resulting average treatment effect estimators under stratified randomization, or more generall…

Conditioning on PDE Parameters to Generalise Deep Learning Emulation of Stochastic and Chaotic Dynamics
Ira J. S. Shokar, Rich R. Kerswell, Peter H. Haynes
https://arxiv.org/abs/2509.09599

Conditioning on PDE Parameters to Generalise Deep Learning Emulation of Stochastic and Chaotic Dynamics
We present a deep learning emulator for stochastic and chaotic spatio-temporal systems, explicitly conditioned on the parameter values of the underlying partial differential equations (PDEs). Our approach involves pre-training the model on a single parameter domain, followed by fine-tuning on a smaller, yet diverse dataset, enabling generalisation across a broad range of parameter values. By incorporating local attention mechanisms, the network is capable of handling varying domain sizes and re…

Generating random factorisations of polynomial values
Dmitry Badziahin
https://arxiv.org/abs/2508.08929 https://arxiv.org/pdf/2508.08929

Generating random factorisations of polynomial values
We construct algorithms that efficiently generate random factorisations of values $P(n)$ as products of two integers, where $P\in\mathbb{Z}[x]$ is a given quadratic or cubic monic polynomial. In other words, the algorithms produce random triples $(n,d_1,d_2)\in\mathbb{Z}^3$ that solve the Diophantine equation $P(n) = d_1d_2$. In the case where $P$ is cubic, such an algorithm allows the construction of an RSA key of $k$ bits that can be described using about $k/3$ bits of information. We also sh…

A fourth-order active flux method for parabolic problems with application to porous medium equation
Junming Duan
https://arxiv.org/abs/2510.11527 https://a…

A fourth-order active flux method for parabolic problems with application to porous medium equation
The active flux (AF) method is a compact high-order finite volume method originally proposed for solving hyperbolic conservation laws, in which cell averages and point values at cell interfaces are evolved simultaneously. This paper develops a fourth-order AF method for one- and two-dimensional parabolic problems, employing the explicit strong-stability-preserving Runge-Kutta (SSP-RK) method for time integration. The proposed method is built on a degenerate first-order system with auxiliary var…

Computational Study of New Record-Based Transmuted Chen Distribution and Its Applications to the Failure Time and Iron Sheet Data
Caner Tan{\i}\c{s}
https://arxiv.org/abs/2509.09756

Computational Study of New Record-Based Transmuted Chen Distribution and Its Applications to the Failure Time and Iron Sheet Data
This study is considered to introduce a novel distribution as an alternative to Chen distribution via the record-based transmutation method. This technique is based on the distributions of first two upper record values. Thus, we suggest a new special case based on Chen distribution in the family of record based transmuted distributions. We explore various distributional properties of the proposed model namely, quantile function, hazard function, median, moments, and stochastic ordering. Our dis…

Recovery of Integer Images from Limited DFT Measurements with Lattice Methods
Howard W Levinson, Isaac Viviano
https://arxiv.org/abs/2510.11949 https://arx…

Recovery of Integer Images from Limited DFT Measurements with Lattice Methods
Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values enables unique recovery from a limited subset of DFT coefficients. This paper develops both theoretical and algorithmic foundations for this problem. We use algebraic properties of the DFT to define a reduction from two-dimensional recovery to several well-chosen…

Language Models Do Not Embed Numbers Continuously
Alex O. Davies, Roussel Nzoyem, Nirav Ajmeri, Telmo M. Silva Filho
https://arxiv.org/abs/2510.08009 https://

Language Models Do Not Embed Numbers Continuously
Recent research has extensively studied how large language models manipulate integers in specific arithmetic tasks, and on a more fundamental level, how they represent numeric values. These previous works have found that language model embeddings can be used to reconstruct the original values, however, they do not evaluate whether language models actually model continuous values as continuous. Using expected properties of the embedding space, including linear reconstruction and principal compon…

A PCA-based Data Prediction Method
Peteris Daugulis, Vija Vagale, Emiliano Mancini, Filippo Castiglione
https://arxiv.org/abs/2510.09246 https://arxiv.org/…

A PCA-based Data Prediction Method
The problem of choosing appropriate values for missing data is often encountered in the data science. We describe a novel method containing both traditional mathematics and machine learning elements for prediction (imputation) of missing data. This method is based on the notion of distance between shifted linear subspaces representing the existing data and candidate sets. The existing data set is represented by the subspace spanned by its first principal components. Solutions for the case of th…

Small Area Estimation of General Indicators in Off-Census Years
William Acero, Isabel Molina, J. Miguel Mar\'in
https://arxiv.org/abs/2510.10812 https://

Small Area Estimation of General Indicators in Off-Census Years
We propose small area estimators of general indicators in off-census years, which avoid the use of deprecated census microdata, but are nearly optimal in census years. The procedure is based on replacing the obsolete census file with a larger unit-level survey that adequately covers the areas of interest and contains the values of useful auxiliary variables. However, the minimal data requirement of the proposed method is a single survey with microdata on the target variable and suitable auxilia…

A Survey on Training-free Alignment of Large Language Models
Birong Pan, Yongqi Li, Weiyu Zhang, Wenpeng Lu, Mayi Xu, Shen Zhou, Yuanyuan Zhu, Ming Zhong, Tieyun Qian
https://arxiv.org/abs/2508.09016

A Survey on Training-free Alignment of Large Language Models
The alignment of large language models (LLMs) aims to ensure their outputs adhere to human values, ethical standards, and legal norms. Traditional alignment methods often rely on resource-intensive fine-tuning (FT), which may suffer from knowledge degradation and face challenges in scenarios where the model accessibility or computational resources are constrained. In contrast, training-free (TF) alignment techniques--leveraging in-context learning, decoding-time adjustments, and post-generation…

Learning Operators through Coefficient Mappings in Fixed Basis Spaces
Chuqi Chen, Yang Xiang, Weihong Zhang
https://arxiv.org/abs/2510.10350 https://arxiv.…

Learning Operators through Coefficient Mappings in Fixed Basis Spaces
Operator learning has emerged as a powerful paradigm for approximating solution operators of partial differential equations (PDEs) and other functional mappings. \textcolor{red}{}{Classical approaches} typically adopt a pointwise-to-pointwise framework, where input functions are sampled at prescribed locations and mapped directly to solution values. We propose the Fixed-Basis Coefficient to Coefficient Operator Network (FB-C2CNet), which learns operators in the coefficient space induced by pres…

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
Jeanine Van Order
https://arxiv.org/abs/2510.10277 https://

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
We derive new integral presentations for central derivative values of $L$-functions of elliptic curves defined over the rationals, basechanged to a real quadratic field $K$, twisted by ring class characters of $K$ in terms of sums along ``geodesics" corresponding to the class group of $K$ of automorphic Green's functions for certain Hirzebruch-Zagier-like arithmetic divisors on Hilbert modular surfaces. We also relate these sums to Birch-Swinnerton-Dyer constants and periods.

Record-based transmuted log-logistic distribution: Properties, simulation, and applications to petroleum rock and reactor pump data
Caner Tan{\i}\c{s}
https://arxiv.org/abs/2509.09757

Record-based transmuted log-logistic distribution: Properties, simulation, and applications to petroleum rock and reactor pump data
This study aims to introduce a new lifetime distribution, called the record-based transformed log-logistic distribution, to the literature. We obtain this distribution using a record-based transformation map based on the distributions of upper record values. We explore some mathematical properties of the suggested distribution, namely the quantile function, hazard function, moments, order statistics, and stochastic ordering. We discuss the point estimation via seven different methods such as ma…

Novel superconvergence and ultraconvergence structures for the finite volume element method
Xiang Wang, Yuqing Zhang, Zhimin Zhang
https://arxiv.org/abs/2510.10668 https://

Novel superconvergence and ultraconvergence structures for the finite volume element method
This paper develops novel natural superconvergence and ultraconvergence structures for the bi-$k$-order finite volume element (FVE) method on rectangular meshes. These structures furnish tunable and possibly asymmetric superconvergence and ultraconvergence points. We achieve one-order-higher superconvergence for both derivatives and function values, and two-orders-higher ultraconvergence for derivatives--a phenomenon that standard bi-$k$-order finite elements do not exhibit. Derivative ultracon…

The Second Moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ $L$-functions at Special Points
Zhi Qi, Ruihua Qiao
https://arxiv.org/abs/2510.11186 https://arxi…

The Second Moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ $L$-functions at Special Points
In this paper, we provide an alternative proof of Chandee and Li's result on the second moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ special $L$-values. Our method is conceptually more direct as it neither detects the `Eisenstein--Kloosterman' cancellation nor uses the Poisson summation.

Using joint models in phase I dose-finding designs in oncology: considerations for frequentist approaches
Xijin Chen, Pavel Mozgunov, Richard D. Baird, Thomas Jaki
https://arxiv.org/abs/2509.10238

Using joint models in phase I dose-finding designs in oncology: considerations for frequentist approaches
Dose-finding trials for oncology studies are traditionally designed to assess safety in the early stages of drug development. With the rise of molecularly targeted therapies and immuno-oncology compounds, biomarker-driven approaches have gained significant importance. In this paper, we propose a novel approach that incorporates multiple values of a predictive biomarker to assist in evaluating binary toxicity outcomes using the factorization of a joint model in phase I dose-finding oncology tria…

A Parareal Algorithm with Spectral Coarse Solver
Martin J. Gander, Mario Ohlberger, Stephan Rave
https://arxiv.org/abs/2508.08873 https://arxiv.org/pdf/250…

A Parareal Algorithm with Spectral Coarse Solver
We consider a new class of Parareal algorithms, which use ideas from localized reduced basis methods to construct the coarse solver from spectral approximations of the transfer operators mapping initial values for a given time interval to the solution at the end of the interval. By leveraging randomized singular value decompositions, these spectral approximations are obtained embarrassingly parallel by computing local fine solutions for random initial values. We show a priori and a posteriori e…

An effective Bombieri-Vinogradov error term for sifting problems
Daniel R. Johnston
https://arxiv.org/abs/2510.10853 https://arxiv.org/pdf/2510.10853

An effective Bombieri-Vinogradov error term for sifting problems
In number theory, many major results related to the twin prime and Goldbach conjectures are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed. The reason for this ineffectivity is due to the reliance on the Bombieri-Vinogradov theorem. In this paper, we show that any classical sifting problem with a Bombieri-Vinogradov style error term can in fact be made e…

Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
https://arxiv.org/abs/2510.10554 https://arxiv.org/pdf/2510.10554

Kronecker second limit formula for real quadratic fields
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Zagier's zeta function. Using the reduction theory of Zagier, which connects Zagier's zeta function to the zeta function of real quadratic fields, we express the values of the zeta function of narrow ideal classes in real quadratic fields at natural arguments in terms of an analytic function which we call the \emph{hig…

Neural network-based singularity detection and applications
Nadiia Derevianko, Ioannis G. Kevrekidis, Felix Dietrich
https://arxiv.org/abs/2509.10110 https://

Neural network-based singularity detection and applications
We present a method for constructing a special type of shallow neural network that learns univariate meromorphic functions with pole-type singularities. Our method is based on using a finite set of Laurent coefficients as input information, which we compute by FFT, employing values of the investigated function on some contour $Γ$ in the complex plane. The primary components of our methodology are the following: (1) the adaptive construction of rational polynomial activation functions, (2) a no…

Without real vector spaces all regulators are rational
Oliver Braunling
https://arxiv.org/abs/2510.10816 https://arxiv.org/pdf/2510.10816

Without real vector spaces all regulators are rational
Every LCA group has a Haar measure unique up to rescaling by a positive scalar. Clausen has shown that the Haar measure describes the universal determinant functor of the category LCA in the sense of Deligne. We show that when only working with LCA groups without allowing real vector spaces, any conceivable determinant functor is unique up to rescaling by at worst rational values. As a result, no transcendental real nor p-adic regulators could ever show up in special L-value conjectures (as in …

Existence and numerical approximation of a one-dimensional Boussinesq system with variable coefficients on a finite interval
Juan Carlos Mu\~noz Grajales, Deissy Marcela Pizo
https://arxiv.org/abs/2510.10829

Existence and numerical approximation of a one-dimensional Boussinesq system with variable coefficients on a finite interval
In this paper, we investigate the well-posedness of a nonlinear dispersive model with variable coefficients that describes the evolution of surface waves propagating through a one-dimensional shallow water channel of finite length with irregular bottom topography. To complement the theoretical analysis, we utilize the numerical solver developed by the authors in \cite{PizoMunoz} to approximate solutions of the model on a finite spatial interval, considering various parameter values and forms of…

Variable selection via knockoffs in missing data settings with categorical predictors
Silvia Bacci, Emanuela Dreassi, Leonardo Grilli, Carla Rampichini
https://arxiv.org/abs/2508.06138

Variable selection via knockoffs in missing data settings with categorical predictors
Large-scale assessment data typically include numerous categorical variables, often affected by missing values. Motivated by the challenges arising in this framework, we extend the knockoffs method for selecting predictors to settings with missing values. Our proposal relies on a preliminary phase consisting of multiple imputations of missing values. Each imputed dataset is then processed using a suitable knockoff filter. We evaluate the performance of the proposed method through a simulation s…

On special values of generalized $p$-adic hypergeometric functions of logarithmic type
Yusuke Nemoto
https://arxiv.org/abs/2509.07895 https://arxiv.org/pdf…

On special values of generalized $p$-adic hypergeometric functions of logarithmic type
We introduce a new type of $p$-adic hypergeometric functions, which are generalizations of $p$-adic hypergeometric functions of logarithmic type defined by Asakura, and show that these functions satisfy the congruence relations similar to Asakura's. We also give numerical computations of the special values of these functions at $t=1$ and prove that these values are equal to zero under some conditions.

Contour Integrations and Parity Results of Cyclotomic Euler $T$-Sums and Multiple $t$-Values
Zhenlu Wang, Ce Xu
https://arxiv.org/abs/2509.06706 https://ar…

Contour Integrations and Parity Results of Cyclotomic Euler $T$-Sums and Multiple $t$-Values
We will employ the method of contour integration to investigate the parity results of non-embedded cyclotomic multiple $t$-values, which we refer to as cyclotomic Euler $T$-sums. We can provide explicit parity formulas for the linear and quadratic cases of cyclotomic Euler $T$-sums, as well as state a parity theorem for the general case. We also present illustrative examples and corollaries. From this, some parity results for classical cyclotomic multiple $t$-values can be derived. Furthermore,…