Tootfinder

September was a great month. I finally have a desk, and changed something in my daily routine. I read another two books of the Dungeon Crawler Carl series, watched High and Low and The Phantom of the Opera, and tell you about "I Love My Computer" by Ninajirachi.
https://www.davideaversa.it/blog/change…

The Changelog – September 2025
September was a great month. I finally have a desk, and I finally changed something in my daily routine. I read another two books of the Dungeon Crawler Carl series and finished the Three-Body Problem trilogy. I watched High and Low and The Phantom of the Opera, and I will share my connection I Love My Computer by Ninajirachi. Finally, my two cents about Silksong.

Classical Heisenberg and XY models on zigzag ladder lattices with nearest-neighbor bilinear-biquadratic exchange: Exact solution for the ground-state problem
Yuriy Dublenych
https://arxiv.org/abs/2509.26318

Classical Heisenberg and XY models on zigzag ladder lattices with nearest-neighbor bilinear-biquadratic exchange: Exact solution for the ground-state problem
An exact and complete solution of the ground-state problem for the classical Heisenberg and XY models with nearest-neighbor bilinear-biquadratic exchange on two- and three-dimensional lattices composed of isosceles triangles is determined with the use of a cluster method. It is shown how the geometric frustration due to the presence of triangles as structural units leads to the emergence of a rich phase diagram with incommensurate spiral orderings and their collinear limits, as well as canted a…

Cubic incompleteness: Hilbert's tenth problem begins at degree three
Milan Rosko
https://arxiv.org/abs/2510.00759 https://arxiv.org/pdf/2510.00759

Cubic incompleteness: Hilbert's tenth problem begins at degree three
We present a preliminary result addressing a long-standing open question: Are cubic Diophantine equations undecidable?} We answer in the affirmative. By encoding Gödel's first incompleteness theorem via a Fibonacc-based Göodel numbering and the Zeckendorf representation, we reduce the arithmetic complexity sufficiently to construct an explicit \emph{cubic Diophantine equation} whose solvability is independent of a model provided by \emph{Peano axioms}. We present three results. First, a commo…

Alleviating Cosmological Tensions with the Hadrosymmetric Twin Higgs
Mohammad Soroori Sotudeh, Zahra Davari, Sara Khatibi, Nima Khosravi
https://arxiv.org/abs/2510.00852 https:/…

Alleviating Cosmological Tensions with the Hadrosymmetric Twin Higgs
The Hadrosymmetric Twin Higgs (HTH) model provides a natural solution to the little hierarchy problem by incorporating all three generations of quarks in a twin sector. Unlike other Twin Higgs scenarios, such as the Mirror Twin Higgs (MTH), the HTH framework avoids introducing additional light states or radiation and thus remains consistent with stringent bounds on the effective number of relativistic species, $ΔN_{\rm eff}$. Its particle content and interactions also make it difficult to prob…

The uniqueness of inverse scattering problems, reciprocity principles, and nonradiating sources related to low-signature structures
Johan Helsing, Anders Karlsson
https://arxiv.org/abs/2509.26304

The uniqueness of inverse scattering problems, reciprocity principles, and nonradiating sources related to low-signature structures
This paper is about perfectly electrically conducting structures designed to produce negligible scattered power when exposed to a time-harmonic plane electromagnetic wave. The structures feature cavities capable of concealing objects. Theoretical investigations of the properties of the structures combined with accurate numerical computations lead to three key findings: the first concerns the uniqueness of the solution to an inverse scattering problem, the second establishes a reciprocity relati…

Finite element discretizations of bending plates with prestrained microstructure
Klaus B\"ohnlein, Stefan Neukamm, Oliver Sander
https://arxiv.org/abs/2509.26438 https://…

Finite element discretizations of bending plates with prestrained microstructure
We investigate a finite element discretization of an elastic bending-plate model with an effective prestrain. The model has been obtained via homogenization and dimension reduction by Bönlein at al. (2023). Its energy functional is the $Γ$-limit of a three-dimensional nonlinear microstructured elasticity functional. In the derived effective model, the microstructure is incorporated as a local corrector problem, a system of linear elliptic partial differential equations posed on a three-dimens…

Hearing the Order: Investigating Selection Bias in Large Audio-Language Models
Yu-Xiang Lin, Chen-An Li, Sheng-Lun Wei, Po-Chun Chen, Hsin-Hsi Chen, Hung-yi Lee
https://arxiv.org/abs/2510.00628

Hearing the Order: Investigating Selection Bias in Large Audio-Language Models
Large audio-language models (LALMs) are often used in tasks that involve reasoning over ordered options. An open question is whether their predictions are influenced by the order of answer choices, which would indicate a form of selection bias and undermine their reliability. In this paper, we identify and analyze this problem in LALMs. We demonstrate that no model is immune to this bias through extensive experiments on six LALMs across three widely used benchmarks and their spoken counterparts…

The Popular Dimension of Matchings
Frank Connor, Louis-Roy Langevin, Ndiam\'e Ndiaye, Agn\`es Totschnig, Rohit Vasishta, Adrian Vetta
https://arxiv.org/abs/2509.25150 https:…

The Popular Dimension of Matchings
We study popular matchings in three classical settings: the house allocation problem, the marriage problem, and the roommates problem. In the popular matching problem, (a subset of) the vertices in a graph have preference orderings over their potential matches. A matching is popular if it gets a plurality of votes in a pairwise election against any other matching. Unfortunately, popular matchings typically do not exist. So we study a natural relaxation, namely popular winning sets which are a s…

LAPIS: A Performance Portable, High Productivity Compiler Framework
Brian Kelley, Sivasankaran Rajamanickam
https://arxiv.org/abs/2509.25605 https://arxiv.…

LAPIS: A Performance Portable, High Productivity Compiler Framework
Portability, performance, and productivity are three critical dimensions for evaluating a programming model or compiler infrastructure. Several modern programming models for computational science focus on performance and portability. On the other end, several machine learning focused programming models focus on portability and productivity. A clear solution that is strong in all three dimensions has yet to emerge. A second related problem arises when use cases from computational science converg…

A note on the Davis-Yin three-operator splitting method
Maoran Wang, Xingju Cai
https://arxiv.org/abs/2509.22032 https://arxiv.org/pdf/2509.22032

A note on the Davis-Yin three-operator splitting method
This paper addresses the monotone inclusion problem in a real Hilbert space, with the objective of identifying a point \( x \in \mathcal{H} \) such that \( 0 \in Ax + Bx + Cx \), where \( A \) and \(C\) are maximal monotone operators and \( B \) is a \(β\)-cocoercive operator. The Davis-Yin three-operator splitting method constitutes a widely used algorithm for solving this problem. This method consists of two subproblems: the first entails a backward step, whereas the second comprises a backw…

Learning with errors may remain hard against quantum holographic attacks
Yunfei Wang, Xin Jin, Junyu Liu
https://arxiv.org/abs/2509.22833 https://arxiv.org…

Learning with errors may remain hard against quantum holographic attacks
The Learning with Errors (LWE) problem underlies modern lattice-based cryptography and is assumed to be quantum hard. Recent results show that estimating entanglement entropy is as hard as LWE, creating tension with quantum gravity and AdS/CFT, where entropies are computed by extremal surface areas. This suggests a paradoxical route to solving LWE by building holographic duals and measuring extremal surfaces, seemingly an easy task. Three possible resolutions arise: that AdS/CFT duality is intr…

Maxx Crosby Doesn’t Hold Back After Raiders Lose to Bears https://heavy.com/sports/nfl/las-vegas-raiders/maxx-crosby-reacts-loss-bears/?adt_ei=[email]

Let's do a deep dive into this paper: "Why Language Models Hallucinate."
When this came out, many people's summary was "even OpenAI admits that hallucinations are a fundamental problem of transformers/autoregressive models/LLMs."
I've seen many people conclude that this means OpenAI is grifting, knows they're building on a wrong paradigm, knows they won't get to AGI etc.

Quantitative periodic homogenization of parabolic equations with large drift and potential
Kshitij Sinha (IIT Bombay)
https://arxiv.org/abs/2509.22003 https://

Quantitative periodic homogenization of parabolic equations with large drift and potential
This work aims to study the rates in the context of periodic homogenization of parabolic problems with large lower order terms (both drift and potential). We demonstrate that the solution is a product of three terms: (i) a function of time, (ii) the ground-state of an exponential cell eigenvalue problem and (iii) the solution to a parabolic equation with zero effective drift. For the latter, we derive $\mathrm L^2$ rates in the homogenization limit.

the "woke games detector"'s ULTRAKILL problem: there are some games they don't like just because the developer is vaguely progressive and the fandom is largely queer and makes a lot gay fanart of the characters but they have to come up with some 4d chess problem with the game itself
like ah yes the game about robot killing demons in hell and extracting their blood is woke because there's a blahaj easter egg and not because there's shitload of V1 x Gabriel yao…

"Electric bicycles are under increasing scrutiny, often for the wrong reasons. In this three-part series, PeopleForBikes separates fact from fiction to protect the future of e-bikes in America, clarify what qualifies as a legal electric bicycle, and call out bad actors mislabeling high-powered motor vehicles as e-bikes."

The E-Bike Problem is an E-Moto Problem | PeopleForBikes

On the uniqueness of the discrete Calderon problem on multi-dimensional lattices
Maolin Deng, Bangti Jin
https://arxiv.org/abs/2509.18203 https://arxiv.org…

A posteriori existence of strong solutions to the Navier-Stokes equations in 3D
Aaron Brunk, Jan Giesselmann, Tabea Tscherpel
https://arxiv.org/abs/2509.25105 https://

A posteriori existence of strong solutions to the Navier-Stokes equations in 3D
Global existence of strong solutions to the three-dimensional incompressible Navier-Stokes equations remains an open problem. A posteriori existence results offer a way to rigorously verify the existence of strong solutions by ruling out blow-up on a certain time interval, using only numerical solutions. In this work we present such a result for the Navier-Stokes equations subject to periodic boundary conditions, which makes use of a version of the celebrated blow-up criterion in the critical s…

The hereditariness problem for the \v{C}ern\'y conjecture
Emanuele Rodaro, Riccardo Venturi
https://arxiv.org/abs/2509.17992 https://arxiv.org/pdf/2509…

The hereditariness problem for the Černý conjecture
This paper addresses the lifting problem for the Černý conjecture: namely, whether the validity of the conjecture for a quotient automaton can always be transferred (or "lifted") to the original automaton. Although a complete solution remains open, we show that it is sufficient to verify the Černý conjecture for three specific subclasses of reset automata: radical, simple, and quasi-simple. Our approach relies on establishing a Galois connection between the lattices of congruences and ideal…

20 WEIRD Facts About THE DAY THE EARTH STOOD STILL (1951) You Didn't Know: #KlaatuBaradaNikto

I have the same problem with the additional problem of reading past some of his personal history - which I wish we did not know.
https://thewalrus.ca/i-have-a-wodehouse-problem-the-problem-is-i-cant-stop-reading-him/

I Have a Wodehouse Problem. The Problem Is I Can’t Stop Reading Him | The Walrus
I have to limit myself to three pages at a go, once per day, with the first cup of coffee

Sometimes hacking a computer means a whole different thing...
In this use, I'm actually hacking (with a hacksaw) the case apart to add an I/O shield (custom made) so I can fit an older motherboard that was not designed for this case.
And thank you to Gateway for making me do this by not using a removable shield and instead stamping every hole they needed and covering them with a sticker if they weren't on this model. 🤦‍♂️

Goldman-Turaev formality from the Kontsevitch integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan, Jessica Liu, Nancy Scherich
https://arxiv.org/abs/2509.20983 https://

Goldman-Turaev formality from the Kontsevitch integral
We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from the Kontsevich integral. Our proof uses a three dimensional derivation of the Goldman-Turaev Lie biaglebra arising from a low-degree Vassiliev quotient -- the {\em emergent} quotient -- of tangles in a thickened punctured disk, modulo a Conway skein relation. This is in contrast to Massuyeau's 2018 proof using braids. A…

Local divers pick away at Lake Malawi’s underwater garbage problem https://news.mongabay.com/2025/10/local-divers-pick-away-at-lake-malawis-underwater-garbage-problem/

Local divers pick away at Lake Malawi’s underwater garbage problem
CAPE MACLEAR, Malawi — On a clear August morning, three scuba divers disappeared under the waters of Lake Malawi. Above them, serenity: The clear water rippled gently, spick-and-span Cape Maclear Beach was empty of tourists and the shoreline trees stood calm. Half an hour later, having covered an area just 30 meters (100 feet) from […]

On the problem of filling by a Poincar\'e-Einstein metric in dimension 4
Sun-Yung Alice Chang, Yuxin Ge
https://arxiv.org/abs/2509.18430 https://arxiv.…

Super-resolution of 4D flow MRI through inverse problem explicit solving
Aur\'elien de Turenne, R\'emi Cart-Lamy, Denis Kouam\'e
https://arxiv.org/abs/2509.21071 htt…

Super-resolution of 4D flow MRI through inverse problem explicit solving
Four-dimensional Flow MRI (4D Flow MRI) enables non-invasive, time-resolved imaging of blood flow in three spatial dimensions, offering valuable insights into complex hemodynamics. However, its clinical utility is limited by low spatial resolution and poor signal-to-noise ratio (SNR), imposed by acquisition time constraints. In this work, we propose a novel method for super-resolution and denoising of 4D Flow MRI based on the explicit solution of an inverse problem formulated in the complex dom…

Precoloring extension with demands on paths
Arun Kumar Das, Michal Opler, Tom\'a\v{s} Valla
https://arxiv.org/abs/2509.18936 https://arxiv.org/pdf/2509…

Precoloring extension with demands on paths
Let $G$ be a graph with a set of precolored vertices, and let us be given an integer distance parameter $d$ and a set of integer demands $d_1,\dots,d_c$. The Distance Precoloring Extension with Demands (DPED) problem is to compute a vertex $c$-coloring of $G$ such that the following three conditions hold: (i) the resulting coloring respects the colors of the precolored vertices, (ii) the distance of two vertices of the same color is at least $d$, and (iii) the number of vertices colored by colo…

from my link log —
Rendezvous hashing explained.
https://randorithms.com/2020/12/26/rendezvous-hashing.html
saved 2025-09-16 https://

Broncos' Payton backs QB Nix: 'Just keep firing' https://www.espn.com/nfl/story/_/id/46381627/broncos-payton-backs-bo-nix-amid-struggles-just-keep-firing

Further fundamental bounds on the Hall effect in three-dimensional metamaterials
Christian Kern, Graeme W. Milton
https://arxiv.org/abs/2509.19513 https://…

Further fundamental bounds on the Hall effect in three-dimensional metamaterials
We consider the problem of bounding the effective nonreciprocal properties of metamaterials. Recently, significant progress was made by showing that this problem can be reduced to bounding an equivalent reciprocal one and applying a monotonicity argument. Here, we build upon this result and provide bounds incorporating additional information about the metamaterial. Specifically, in the two-phase case, we provide bounds for isotropic metamaterials. In the multiphase case, we provide bounds for u…

At least he understood the location and extent of our problem. Not great on the solution side, but we will be workshopping that... https://bird.makeup/users/macfarlanenews/statuses/1969117630578540785

Scott MacFarlane
ALERT: Justice Dept will seek minimum 30-year prison term for Nicholas Roske, the California man who pleaded guilty in attempt to assassinate Justice Brett Kavanugh Feds argue Roske was targeting UP TO THREE justices for assassination COURT FILING: https://storage.courtlistener.com/recap/gov.uscourts.mdd.514255/gov.uscourts.mdd.514255.98.0.pdf

Projective Plane Subdivision Method For Initial Orbit Determination
Ruiqi Huang, Anton Leykin, Michela Mancini
https://arxiv.org/abs/2509.14397 https://arx…

Projective Plane Subdivision Method For Initial Orbit Determination
Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of the ''angles-only'' IOD in three-dimensional space: find a conic curve with a given focal point meeting the given lines of sight (LOS). We provide an algebraic reformulation of this problem and confirm that five is the minimal number of lines necessary to have a finite number of solutions in a non-special case, and t…

Oof, fuck microsoft.
But also, there's no reason to use permissive licenses any more. "Open source" has taken over the world. We no longer have to work with billion-dollar companies in order to get our stuff used. Now we need to protect ourselves from being taken advantage of by them.
https://

https://hemaks.org/posts/why-your-obsession-with-code-linting-is-excessive/
Consider these questions when evaluating your linting setup:
- Does this rule prevent actual bugs? If not, consider removing it.
- Would a new team member understand …

The impact of modeling approaches on controlling safety-critical, highly perturbed systems: the case for data-driven models
Piotr {\L}aszkiewicz, Maria Carvalho, Cl\'audia Soares, Pedro Louren\c{c}o
https://arxiv.org/abs/2509.13531

The impact of modeling approaches on controlling safety-critical, highly perturbed systems: the case for data-driven models
This paper evaluates the impact of three system models on the reference trajectory tracking error of the LQR optimal controller, in the challenging problem of guidance and control of the state of a system under strong perturbations and reconfiguration. We compared a smooth Linear Time Variant system learned from data (DD-LTV) with state of the art Linear Time Variant (LTV) system identification methods, showing its superiority in the task of state propagation. Moreover, we have found that DD-LT…

Delving into Cryptanalytic Extraction of PReLU Neural Networks
Yi Chen, Xiaoyang Dong, Ruijie Ma, Yantian Shen, Anyu Wang, Hongbo Yu, Xiaoyun Wang
https://arxiv.org/abs/2509.16620

Delving into Cryptanalytic Extraction of PReLU Neural Networks
The machine learning problem of model extraction was first introduced in 1991 and gained prominence as a cryptanalytic challenge starting with Crypto 2020. For over three decades, research in this field has primarily focused on ReLU-based neural networks. In this work, we take the first step towards the cryptanalytic extraction of PReLU neural networks, which employ more complex nonlinear activation functions than their ReLU counterparts. We propose a raw output-based parameter recovery attack …

Identifying Fixed Points in the Three-Body Problem Using a High-Order Transfer Map
Xingyu Zhou, Lorenzo Ano`e, Roberto Armellin, Dong Qiao, Xiangyu Li
https://arxiv.org/abs/2509.12671

Identifying Fixed Points in the Three-Body Problem Using a High-Order Transfer Map
Periodic orbits (POs) play a central role in the circular restricted three-body problem (CRTBP). This paper introduces a method to search for POs by identifying single- and multiple-revolution fixed points in chosen Poincare maps that describe the CRTBP dynamics, with a theoretical capability to detect all fixed points across arbitrary revolution counts exhaustively.First, high-order transfer maps (HOTMs), represented as polynomials, are constructed within the differential algebra (DA) framewor…

Three-Neighbour Bootstrap Percolation in Thin Three-Dimensional Grids
Will Dolphin, Peter J. Dukes
https://arxiv.org/abs/2509.13589 https://arxiv.org/pdf/2…

Three-Neighbour Bootstrap Percolation in Thin Three-Dimensional Grids
We improve the status of the problem of determining minimum-sized percolating sets in $a \times b \times c$ grids under the $3$-neighbour process. Using several new constructions, we show that optimal percolating sets exist whenever $\min(a,b,c) \ge 7$. As an important step toward this, we also show that all grids with $\min(a,b,c) \ge 4$ have a percolating set whose size exactly achieves the lower bound $(ab+ac+bc)/3$ whenever this value is an integer.

Series C, Episode 04 - Dawn of the Gods
DAYNA: Orac with delusions of grandeur, Zen unable to control the ship. I'd say we've a lot of little problems on our hands.
AVON: Course deflection is zero zero five. Speed Standard by five and increasing. I'd say we have one large problem on our hands.
https://blake.torpidit…

Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
Chiara Colombo, Caterina Dalmaso, Lucas O. M\"uller, Annunziato Siviglia
https://arxiv.org/abs/2509.22190

Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
The present work proposes a well-balanced finite volume-type numerical method for the solution of non-conservative hyperbolic partial differential equations (PDEs) with source terms. The method is characterized, first, by the use of a recently introduced high-order spatial reconstruction, based on generalized Riemann problem information from the previous time level. Such reconstruction is well-balanced up to order three, compact, efficient and easy to implement. Second, the method incorporates …

A Bouquet of Results on Maximum Range Sum: General Techniques and Hardness Reductions
Rachana Gusain, Saladi Rahul, Aditya Subramanian
https://arxiv.org/abs/2509.16008 https://

A Bouquet of Results on Maximum Range Sum: General Techniques and Hardness Reductions
We revisit the maximum range sum (MaxRS) problem: given a set $P$ of $n$ weighted points in $\mathbb{R}^d$ and a range $Q$ (typically axis-aligned $d$-box or $d$-ball), the goal is to place $Q$ to maximize the total weight of points in $P\cap Q$. We study three natural variations: (1) Dynamic MaxRS: The goal is to update the placement of a $d$-ball under point insertions and deletions. We give a randomized $(\frac{1}{2}-ε)$-approximation with update time $O_ε(\log n)$. The approximation fac…

A Survey of Reasoning and Agentic Systems in Time Series with Large Language Models
Ching Chang, Yidan Shi, Defu Cao, Wei Yang, Jeehyun Hwang, Haixin Wang, Jiacheng Pang, Wei Wang, Yan Liu, Wen-Chih Peng, Tien-Fu Chen
https://arxiv.org/abs/2509.11575

A Survey of Reasoning and Agentic Systems in Time Series with Large Language Models
Time series reasoning treats time as a first-class axis and incorporates intermediate evidence directly into the answer. This survey defines the problem and organizes the literature by reasoning topology with three families: direct reasoning in one step, linear chain reasoning with explicit intermediates, and branch-structured reasoning that explores, revises, and aggregates. The topology is crossed with the main objectives of the field, including traditional time series analysis, explanation a…

Cross-Dialect Bird Species Recognition with Dialect-Calibrated Augmentation
Jiani Ding, Qiyang Sun, Alican Akman, Bj\"orn W. Schuller
https://arxiv.org/abs/2509.22317 https…

Cross-Dialect Bird Species Recognition with Dialect-Calibrated Augmentation
Dialect variation hampers automatic recognition of bird calls collected by passive acoustic monitoring. We address the problem on DB3V, a three-region, ten-species corpus of 8-s clips, and propose a deployable framework built on Time-Delay Neural Networks (TDNNs). Frequency-sensitive normalisation (Instance Frequency Normalisation and a gated Relaxed-IFN) is paired with gradient-reversal adversarial training to learn region-invariant embeddings. A multi-level augmentation scheme combines wavefo…

Dual-Stage Reweighted MoE for Long-Tailed Egocentric Mistake Detection
Boyu Han, Qianqian Xu, Shilong Bao, Zhiyong Yang, Sicong Li, Qingming Huang
https://arxiv.org/abs/2509.12990

Dual-Stage Reweighted MoE for Long-Tailed Egocentric Mistake Detection
In this report, we address the problem of determining whether a user performs an action incorrectly from egocentric video data. To handle the challenges posed by subtle and infrequent mistakes, we propose a Dual-Stage Reweighted Mixture-of-Experts (DR-MoE) framework. In the first stage, features are extracted using a frozen ViViT model and a LoRA-tuned ViViT model, which are combined through a feature-level expert module. In the second stage, three classifiers are trained with different objecti…

Enhanced Survival Trees
Ruiwen Zhou, Ke Xie, Lei Liu, Zhichen Xu, Jimin Ding, Xiaogang Su
https://arxiv.org/abs/2509.18494 https://arxiv.org/pdf/2509.18494…

Enhanced Survival Trees
We introduce a new survival tree method for censored failure time data that incorporates three key advancements over traditional approaches. First, we develop a more computationally efficient splitting procedure that effectively mitigates the end-cut preference problem, and we propose an intersected validation strategy to reduce the variable selection bias inherent in greedy searches. Second, we present a novel framework for determining tree structures through fused regularization. In combinati…

Cowboys Could Run Into George Pickens Problem After Quiet Week 1, Per Writer https://heavy.com/sports/nfl/dallas-cowboys/george-pickens-week1-issue/?adt_ei=[email]

Geometric Constructions through Ordered Sets
Liudmyla Morozova
https://arxiv.org/abs/2509.19361 https://arxiv.org/pdf/2509.19361

Geometric Constructions through Ordered Sets
This work discusses an approach to solving geometric construction problems in which the given figure is included in a set ordered by construction steps. The flow of information is carried through the chain, allowing the original problem to be transformed and solved in a broader context. For demonstration, three classical tasks of construction are considered: proportional segments, a Gothic detail, and proportional angles.

RadioLAM: A Large AI Model for Fine-Grained 3D Radio Map Estimation
Zhiyuan Liu, Qingyu Liu, Shuhang Zhang, Hongliang Zhang, Lingyang Song
https://arxiv.org/abs/2509.11571 https…

RadioLAM: A Large AI Model for Fine-Grained 3D Radio Map Estimation
A radio map captures the spatial distribution of wireless channel parameters, such as the strength of the signal received, across a geographic area. The problem of fine-grained three-dimensional (3D) radio map estimation involves inferring a high-resolution radio map for the two-dimensional (2D) area at an arbitrary target height within a 3D region of interest, using radio samples collected by sensors sparsely distributed in that 3D region. Solutions to the problem are crucial for efficient spe…

Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization
Jingfeng Wu, Peter L. Bartlett, Jason D. Lee, Sham M. Kakade, Bin Yu
https://arxiv.org/abs/2509.17251

Risk Comparisons in Linear Regression: Implicit Regularization Dominates Explicit Regularization
Existing theory suggests that for linear regression problems categorized by capacity and source conditions, gradient descent (GD) is always minimax optimal, while both ridge regression and online stochastic gradient descent (SGD) are polynomially suboptimal for certain categories of such problems. Moving beyond minimax theory, this work provides instance-wise comparisons of the finite-sample risks for these algorithms on any well-specified linear regression problem. Our analysis yields three …

Deep opacity and AI: A threat to XAI and to privacy protection mechanisms
Vincent C. M\"uller
https://arxiv.org/abs/2509.08835 https://arxiv.org/pdf/2…

Deep opacity and AI: A threat to XAI and to privacy protection mechanisms
It is known that big data analytics and AI pose a threat to privacy, and that some of this is due to some kind of "black box problem" in AI. I explain how this becomes a problem in the context of justification for judgments and actions. Furthermore, I suggest distinguishing three kinds of opacity: 1) the subjects do not know what the system does ("shallow opacity"), 2) the analysts do not know what the system does ("standard black box opacity"), or 3) the analysts cannot possibly know what the …

On the inverse problem of the earthquake source and the three-phase relaxation mode of the source after the formation of a main rupture in it
A. V. Guglielmi
https://arxiv.org/abs/2510.01679

On the inverse problem of the earthquake source and the three-phase relaxation mode of the source after the formation of a main rupture in it
The fundamentals of the phenomenological theory of aftershocks are presented. The theory contains an original concept of the proper time of the earthquake source, the course of which, generally speaking, differs from the course of world time. Within the framework of the theory, a new method for processing and analyzing earthquakes has been developed. Analysis of the Tohoku earthquake demonstrated the effectiveness of the method. Three phases of relaxation of the source were discovered. In the i…

The Three-Body Limit Cycle: Universal Form for General Regulators
Langxuan Chen, Feng Wu, Xincheng Lin, Sebastian K\"onig, Ubirajara van Kolck, Pengfei Zhang
https://arxiv.org/abs/2509.04746

The Three-Body Limit Cycle: Universal Form for General Regulators
The Efimov effect, a remarkable realization of discrete scale invariance, emerges in the three-body problem with short-range interactions and is understood as a renormalization group (RG) limit cycle within Short-Range Effective Field Theory (SREFT). While the analytic form of the three-body renormalization relation has been established for a sharp cutoff regulator, its universality for other regulators remains underexplored. In this letter, we derive the universal functional form of the three-…

2 abysmal stats show Ashton Jeanty isn't the problem with Raiders' rushing attack https://www.sportingnews.com/us/nfl/las-vegas-raiders/news/2-abysmal-stats-ashton-jeanty-isnt-problem-raid…

RefactorCoderQA: Benchmarking LLMs for Multi-Domain Coding Question Solutions in Cloud and Edge Deployment
Shadikur Rahman, Aroosa Hameed, Gautam Srivastava, Syed Muhammad Danish
https://arxiv.org/abs/2509.10436

RefactorCoderQA: Benchmarking LLMs for Multi-Domain Coding Question Solutions in Cloud and Edge Deployment
To optimize the reasoning and problem-solving capabilities of Large Language Models (LLMs), we propose a novel cloud-edge collaborative architecture that enables a structured, multi-agent prompting framework. This framework comprises three specialized components: GuideLLM, a lightweight model deployed at the edge to provide methodological guidance; SolverLLM, a more powerful model hosted in the cloud responsible for generating code solutions; and JudgeLLM, an automated evaluator for assessing s…

Requirements for Early Quantum Advantage and Quantum Utility in the Capacitated Vehicle Routing Problem
Chinonso Onah, Kristel Michielsen
https://arxiv.org/abs/2509.11469 https:…

Requirements for Early Quantum Advantage and Quantum Utility in the Capacitated Vehicle Routing Problem
We introduce a transparent, encoding-agnostic framework for determining when the Capacitated Vehicle Routing Problem (CVRP) can achieve early quantum advantage. Our analysis shows this is unlikely on noisy intermediate scale quantum (NISQ) hardware even in best case scenarios that use the most qubit-efficient direct encodings. Closed-form resource counts, combined with recent device benchmarks, yield three decisive go/no-go figures of merit: the quantum feasibility point and the qubit- and gate…

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…

Chiefs in danger zone with impotent offense, while Steelers disappoint on defense; plus, 3 NFL closers https://www.nfl.com/news/chiefs-in-danger-zone-with-impotent-offense-while-steelers-disappoint-on-defense-plus-3-nfl-c…

Gravity-driven flux of particles through apertures
Ram Sudhir Sharma, Alexandre Leonelli, Kevin Zhao, Eckart Meiburg, Alban Sauret
https://arxiv.org/abs/2509.14415 https://

Gravity-driven flux of particles through apertures
The gravity-driven discharge of granular material through an aperture is a fundamental problem in granular physics and is classically described by empirical laws with different fitting parameters. In this Letter, we disentangle the mass flux into distinct velocity and packing contributions by combining three-dimensional experiments and simulations. We define a dimensionless flux ratio that captures confinement-driven deviations from a free-fall limit, which is recovered when the aperture is lar…

Solvability of Infinite Systems of Nonlinear Caputo Fractional Differential equations in generalized Hahn Sequence Space
Khurshida Parvin, Bipan Hazarika, Awad A. Bakery
https://arxiv.org/abs/2509.06959

Solvability of Infinite Systems of Nonlinear Caputo Fractional Differential equations in generalized Hahn Sequence Space
This paper presents the Hausdorff measure of noncompactness (MNC) within the framework of the generalized Hahn sequence space. By applying the MNC, we explore the existence of solutions for nonlinear Caputo fractional differential equations subject to three-point integral boundary conditions in the generalized Hahn sequence space. We apply certain sufficient conditions to ensure the uniqueness of solutions to the aforementioned problem, utilizing the Banach fixed-point theorem, and discuss the …

An adaptive Hermite spectral method for the Boltzmann equation
Sihong Shao, Yanli Wang, Jie Wu
https://arxiv.org/abs/2509.17981 https://arxiv.org/pdf/2509.…

An adaptive Hermite spectral method for the Boltzmann equation
We propose an adaptive Hermite spectral method for the three-dimensional velocity space of the Boltzmann equation guided by a newly developed frequency indicator. For the homogeneous problem, the indicator is defined by the contribution of high-order coefficients in the spectral expansion. For the non-homogeneous problem, a Fourier-Hermite scheme is employed, with the corresponding frequency indicator formulated based on distributions across the entire spatial domain. The adaptive Hermite metho…

Description of Non-Spherical Black Holes in 5D Einstein Gravity via the Riemann-Hilbert Problem
Jun-ichi Sakamoto, Shinya Tomizawa
https://arxiv.org/abs/2510.02093 https://

Description of Non-Spherical Black Holes in 5D Einstein Gravity via the Riemann-Hilbert Problem
We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in five-dimensional vacuum Einstein theory. We construct the monodromy matrix associated with the BM linear system, which provides a unified framework for describing three distinct asymptotically flat, vacuum black hole solutions with a single angular momentum in five dimensions, each with…

On three dimensional steady super-Alfv\'{e}nic magnetohydrodynamics shocks with aligned fields
Shangkun Weng, Wengang Yang
https://arxiv.org/abs/2510.12068 https://

On three dimensional steady super-Alfvénic magnetohydrodynamics shocks with aligned fields
The coupled motion between the hydrodynamic flow and magnetic field introduces significant complexity into the structure of the magnetohydrodynamic (MHD) equations. A key factor contributing to this complexity is the presence of Alfvén waves, which critically influences the character of the flow and makes the problem considerably more challenging. Within the framework where the magnetic field is everywhere parallel to the flow velocity, we give an effective decomposition of the steady MHD equa…

A recursive approach for the determination of the nice sections of width three having a 4-crown stack as retract
Frank a Campo
https://arxiv.org/abs/2510.05640 https://

A recursive approach for the determination of the nice sections of width three having a 4-crown stack as retract
The characterization of the finite minimal automorphic posets of width three is still an open problem. Niederle has shown that this task can be reduced to the characterization of the nice sections of width three having a non-trivial tower of nice sections as retract. In our article, we characterize those of them which have a 4-crown stack as retract and we develop a recursive approach for their determination. We apply the approach on a sub-class $\mathfrak{N}_2$ of nice sections of width three …

Three-point connectivity constant for $q$-state Potts spin clusters
Gefei Cai, Haoyu Liu, Baojun Wu, Zijie Zhuang
https://arxiv.org/abs/2510.05850 https://…

Three-point connectivity constant for $q$-state Potts spin clusters
Recently, Ang--Cai--Sun--Wu (2024) determined the three-point connectivity constant for two-dimensional critical percolation, confirming a prediction of Delfino and Viti (2010). In this paper, we address the analogous problem for planar critical $q$-state Potts spin clusters. We introduce a continuum three-point connectivity constant and compute it explicitly. Under the scaling-limit conjecture for Potts spin clusters, this quantity coincides with the scaling limit of the properly normalized pr…

Freeze-Tag is NP-hard in 2D with $L_1$ distance
Lucas de Oliveira Silva, Lehilton Lelis Chaves Pedrosa
https://arxiv.org/abs/2509.14357 https://arxiv.org/p…

Freeze-Tag is NP-hard in 2D with $L_1$ distance
The Freeze-Tag Problem (FTP) is a scheduling problem with application in robot swarm activation and was introduced by Arkin et al. in 2002. This problem seeks an efficient way of activating a robot swarm starting with a single active robot. Activations occur through direct contact, and once a robot becomes active, it can move and help activate other robots. Although the problem has been shown to be NP-hard in the Euclidean plane $R^2$ under the $L_2$ distance, and in three-dimensional Euclide…

On Equivalent Characterizations of NP in Abstract Models of Computation
Jeremy C. Kirn, Lucas Meijer, Tillmann Miltzow, Hans L. Bodlaender
https://arxiv.org/abs/2510.05894 https…

On Equivalent Characterizations of NP in Abstract Models of Computation
We investigate machine models similar to Turing machines that are augmented by the operations of a first-order structure $\mathcal{R}$, and we show that under weak conditions on $\mathcal{R}$, the complexity class $\text{NP}(\mathcal{R})$ may be characterized in three equivalent ways: (1) by polynomial-time verification algorithms implemented on $\mathcal{R}$-machines, (2) by the $\text{NP}(\mathcal{R})$-complete problem $\text{SAT}(\mathcal{R})$, and (3) by existential second-order metafinite …

Optimal Multi-Mode Propulsion Mission Design Using Direct Collocation
George V. Haman III, Anil V. Rao
https://arxiv.org/abs/2509.07336 https://arxiv.org/p…

Optimal Multi-Mode Propulsion Mission Design Using Direct Collocation
The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the independent variable and introducing normalized time as an additional state, the need to repeatedly solve Kepler's equation at arbitrary epochs is eliminated. Furthermore, a propellant constraint is imposed on the high-thrust mode to activate the multi-mode capabi…

Raiders’ Geno Smith Gives Blunt Words After Loss to Chargers https://heavy.com/sports/nfl/las-vegas-raiders/geno-smith-blunt-loss-chargers/?adt_ei=[email]

Spectral Graph Clustering under Differential Privacy: Balancing Privacy, Accuracy, and Efficiency
Mohamed Seif, Antti Koskela, H. Vincent Poor, Andrea J. Goldsmith
https://arxiv.org/abs/2510.07136

Spectral Graph Clustering under Differential Privacy: Balancing Privacy, Accuracy, and Efficiency
We study the problem of spectral graph clustering under edge differential privacy (DP). Specifically, we develop three mechanisms: (i) graph perturbation via randomized edge flipping combined with adjacency matrix shuffling, which enforces edge privacy while preserving key spectral properties of the graph. Importantly, shuffling considerably amplifies the guarantees: whereas flipping edges with a fixed probability alone provides only a constant epsilon edge DP guarantee as the number of nodes g…

PRISM: Enhancing Protein Inverse Folding through Fine-Grained Retrieval on Structure-Sequence Multimodal Representations
Sazan Mahbub, Souvik Kundu, Eric P. Xing
https://arxiv.org/abs/2510.11750

PRISM: Enhancing Protein Inverse Folding through Fine-Grained Retrieval on Structure-Sequence Multimodal Representations
Designing protein sequences that fold into a target three-dimensional structure, known as the inverse folding problem, is central to protein engineering but remains challenging due to the vast sequence space and the importance of local structural constraints. Existing deep learning approaches achieve strong recovery rates, yet they lack explicit mechanisms to reuse fine-grained structure-sequence patterns that are conserved across natural proteins. We present PRISM, a multimodal retrieval-augme…

A Practical Guide to Rigorously Locate Periodic Orbits in Discrete Dynamics
Luc\'ia Alonso Mozo, Olivier H\'enot, Phillipo Lappicy
https://arxiv.org/abs/2510.06373 https…

A Practical Guide to Rigorously Locate Periodic Orbits in Discrete Dynamics
Periodic orbits are important objects of discrete dynamical systems, but finding them is not always easy. We present a self-contained introductory account, aimed at non-experts, to prove their existence and study their stability using the aid of the computer. The method consists in three main steps. First, we reformulate the problem of identifying a $p$-periodic orbit as a root-finding problem. Second, we find a numerical approximation of the root (i.e. a periodic orbit candidate). Third, we ve…

Exploration-Exploitation-Evaluation (EEE): A Framework for Metaheuristic Algorithms in Combinatorial Optimization
Ethan Davis
https://arxiv.org/abs/2510.05027 https://

Exploration-Exploitation-Evaluation (EEE): A Framework for Metaheuristic Algorithms in Combinatorial Optimization
We introduce a framework for applying metaheuristic algorithms, such as ant colony optimization (ACO), to combinatorial optimization problems (COPs) like the traveling salesman problem (TSP). The framework consists of three sequential stages: broad exploration of the parameter space, exploitation of top-performing parameters, and uncertainty quantification (UQ) to assess the reliability of results. As a case study, we apply ACO to the TSPLIB berlin52 dataset, which has a known optimal tour leng…

Cislunar Resonant Transport and Heteroclinic Pathways: From 3:1 to 2:1 to L1
Bhanu Kumar, Anjali Rawat, Aaron J. Rosengren, Shane D. Ross
https://arxiv.org/abs/2509.12675 https:…

Cislunar Resonant Transport and Heteroclinic Pathways: From 3:1 to 2:1 to L1
Understanding the dynamical structure of cislunar space beyond geosynchronous orbit is critical for both lunar exploration and for high-Earth-orbiting trajectories. In this study, we investigate the role of mean-motion resonances and their associated heteroclinic connections in enabling natural semi-major axis transport in the Earth-Moon system. Working within the planar circular restricted three-body problem, we compute and analyze families of periodic orbits associated with the interior 4:1, …

Synchrosqueezed windowed linear canonical transform: A method for mode retrieval from multicomponent signals with crossing instantaneous frequencies
Shuixin Li, Jiecheng Chen, Qingtang Jiang, Jian Lu
https://arxiv.org/abs/2510.10438

Synchrosqueezed windowed linear canonical transform: A method for mode retrieval from multicomponent signals with crossing instantaneous frequencies
In nature, signals often appear in the form of the superposition of multiple non-stationary signals. The overlap of signal components in the time-frequency domain poses a significant challenge for signal analysis. One approach to addressing this problem is to introduce an additional chirprate parameter and use the chirplet transform (CT) to elevate the two-dimensional time-frequency representation to a three-dimensional time-frequency-chirprate representation. From a certain point of view, the …

The coupling of mixed and primal finite element methods for the coupled body-plate problem
Jun Hu, Zhen Liu, Rui Ma
https://arxiv.org/abs/2509.10827 https://

The coupling of mixed and primal finite element methods for the coupled body-plate problem
This paper considers the coupled problem of a three-dimensional elastic body and a two-dimensional plate, which are rigidly connected at their interface. The plate consists of a plane elasticity model along the longitudinal direction and a plate bending model with Kirchhoff assumptions along the transverse direction. The Hellinger-Reissner formulation is adopted for the body by introducing the stress as an auxiliary variable, while the primal formulation is employed for the plate. The well-pose…

Maximum Biclique for Star 1,2,3 -free and Bounded Bimodularwidth Twin-free Bipartite Graphs $\star$
Fabien de Montgolfier (IRIF), Renaud Torfs (IRIF)
https://arxiv.org/abs/2510.04621

Maximum Biclique for Star 1,2,3 -free and Bounded Bimodularwidth Twin-free Bipartite Graphs $\star$
There are three usual definitions of a maximum bipartite clique (biclique) in a bipartite graph\,: either maximizing the number of vertices, or of edges, or finding a maximum balanced biclique. The first problem can be solved in polynomial time, the last ones are NP-complete. Here we show how these three problems may be efficiently solved for two classes of bipartite graphs: Star123-free twin-free graphs, and bounded bimodularwidth twin-free graphs, a class that may be defined using bimodular d…

Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points
Carson Hunsberger, David Schwab, Roshan Eapen, Puneet Singla
https://arxiv.org/abs/2510.06368

Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points
The normal forms provide useful approximations for many trajectories of interest within the circular restricted three-body problem. This paper aims to thoroughly compare two of these forms: the Birkhoff normal form and the resonant normal form, highlighting the strengths of each for the representation of center manifold trajectories. A method of station-keeping is introduced, analogous to Floquet modes, in which the unstable component is minimized at specific points along a trajectory through i…

Quantum and Simulated Annealing-Based Iterative Algorithms for QUBO Relaxations of the Sparsest $k$-Subgraph Problem
Omkar Bihani, Roman Ku\v{z}el, Janez Povh, Dunja Pucher
https://arxiv.org/abs/2509.08544

Quantum and Simulated Annealing-Based Iterative Algorithms for QUBO Relaxations of the Sparsest $k$-Subgraph Problem
In this paper, we introduce three QUBO (Quadratic Unconstrained Binary Optimization) relaxations for the sparsest $k$-subgraph (SkS) problem: a quadratic penalty relaxation, a Lagrangian relaxation, and an augmented Lagrangian relaxation. The effectiveness of these approaches strongly depends on the choice of penalty parameters. We establish theoretical results characterizing the parameter values for which the QUBO relaxations are exact. For practical implementation, we propose three iterative …

Performance enhancement in Josephson traveling wave parametric amplifiers by tailoring the relative distance between junctions
M. A. Gali Labarias, T. Yamada, Y. Nakashima, Y. Urade, J. Claramunt, K. Inomata
https://arxiv.org/abs/2509.07292

Performance enhancement in Josephson traveling wave parametric amplifiers by tailoring the relative distance between junctions
Josephson traveling wave parametric amplifiers with heterogeneously spaced junctions are theoretically investigated. We consider unit cells with three junctions and characterize their interaction by spatially displaced fields defined by node fluxes. To solve this problem we define the system action and apply the variational principle to obtain the static action, which determines the equations of motion. This work shows that gain and bandwidth can be increased by modifying the relative distance …

Efficient Enumeration of At Most $k$-Out Polygons
Waseem Akram, Katsuhisa Yamanaka
https://arxiv.org/abs/2509.12696 https://arxiv.org/pdf/2509.12696…

Efficient Enumeration of At Most $k$-Out Polygons
Let $S$ be a set of $n$ points in the Euclidean plane and general position i.e., no three points are collinear. An \emph{at most $k$-out polygon of $S$} is a simple polygon such that each vertex is a point in $S$ and there are at most $k$ points outside the polygon. In this paper, we consider the problem of enumerating all the at most $k$-out polygon of $S$. We propose a new enumeration algorithm for the at most $k$-out polygons of a point set. Our algorithm enumerates all the at most $k$-out p…

Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries
Jin Woo Jang, Chanwoo Kim
https://arxiv.org/abs/2509.11064 https://arxiv.org/pdf/2509.11…

Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries
We construct global-in-time classical solutions to the nonlinear Vlasov-Maxwell system in a three-dimensional half-space beyond the vacuum scattering regime. Our approach combines the construction of stationary solutions to the associated boundary-value problem with a proof of their asymptotic dynamical stability in $L^\infty$ under small perturbations, providing a new framework for understanding long-time wave-particle interactions in the presence of boundaries and interacting magnetic fields.…

Graph Coloring Below Guarantees via Co-Triangle Packing
Shyan Akmal, Tomohiro Koana
https://arxiv.org/abs/2509.12347 https://arxiv.org/pdf/2509.12347

Graph Coloring Below Guarantees via Co-Triangle Packing
In the $\ell$-Coloring Problem, we are given a graph on $n$ nodes, and tasked with determining if its vertices can be properly colored using $\ell$ colors. In this paper we study below-guarantee graph coloring, which tests whether an $n$-vertex graph can be properly colored using $g-k$ colors, where $g$ is a trivial upper bound such as $n$. We introduce an algorithmic framework that builds on a packing of co-triangles $\overline{K_3}$ (independent sets of three vertices): the algorithm greedily…

Catalog and Characterization of Science Orbit Configurations for an Enceladus Orbiter
Spencer Boone, Joan Pau Sanchez Cuartialles, St\'ephanie Lizy-Destrez
https://arxiv.org/abs/2510.12421

Catalog and Characterization of Science Orbit Configurations for an Enceladus Orbiter
Saturn's moon Enceladus is an exciting destination for future exploration missions due to the scientifically interesting geyser region located on its South pole. In this work, we compile the different types of science orbit configurations that have been proposed in the literature and present numerical methods to compute each of them in the Saturn-Enceladus circular restricted three-body problem (CR3BP). In addition, we explore the utility of the higher period dynamical structures found in the C…

Partial Self-Correction in Layer Codes
Dominic J. Williamson
https://arxiv.org/abs/2510.09218 https://arxiv.org/pdf/2510.09218

Partial Self-Correction in Layer Codes
The storage of large-scale quantum information at finite temperature requires an autonomous and reliable quantum hard drive, also known as a self-correcting quantum memory. It is a long-standing open problem to find a self-correcting quantum memory in three dimensions. The recently introduced Layer Codes achieve the best possible scaling of code parameters and logical energy barrier in three dimensions, these are tantalizing features for the purposes of self-correction. In this work we show tha…

Observing Without Doing: Pseudo-Apprenticeship Patterns in Student LLM Use
Jade Hak, Nathaniel Lam Johnson, Matin Amoozadeh, Amin Alipour, Souti Chattopadhyay
https://arxiv.org/abs/2510.04986

Observing Without Doing: Pseudo-Apprenticeship Patterns in Student LLM Use
Large Language Models (LLMs) such as ChatGPT have quickly become part of student programmers' toolkits, whether allowed by instructors or not. This paper examines how introductory programming (CS1) students integrate LLMs into their problem-solving processes. We conducted a mixed-methods study with 14 undergraduates completing three programming tasks while thinking aloud and permitted to access any resources they choose. The tasks varied in open-endedness and familiarity to the participants and…

Vector Trifference
Siddharth Bhandari, Abhishek Khetan
https://arxiv.org/abs/2510.04079 https://arxiv.org/pdf/2510.04079

Vector Trifference
We investigate a geometric generalization of trifference, a concept introduced by Elias in 1988 in the study of zero-error channel capacity. In the discrete setting, a code C \subseteq {0,1,2}^n is trifferent if for any three distinct codewords x, y, z in C, there exists a coordinate i in [n] where x_i, y_i, z_i are all distinct. Determining the maximum size of such codes remains a central open problem; the classical upper bound |C| \leq 2 * (3/2)^n, proved via a simple pruning argume…

Energy Transition Domain and Its Application in Constructing Gravity-Assist Escape Trajectories
Shuyue Fu, Xiaowen Liu, Di Wu, Peng Shi, Shengping Gong
https://arxiv.org/abs/2509.00518

Energy Transition Domain and Its Application in Constructing Gravity-Assist Escape Trajectories
This Note proposes the concept and theory of energy transition domain (ETD) defined by the mechanical energy of spacecraft in the Earth-Moon planar circular restricted three-body problem (PCR3BP) inspired by the pioneering work from Ano{è} et al. (2024) on the ETD defined by the two-body energy with respect to the secordary body in the PCR3BP. An effective construction method of gravity-assist escape trajectories is then proposed. Firstly, the concept of the ETD defined by the mechanical energ…

Limits to the Hall effect and other nonreciprocal effects in three-dimensional metamaterials
Christian Kern, Graeme W. Milton
https://arxiv.org/abs/2509.01593 https://

Limits to the Hall effect and other nonreciprocal effects in three-dimensional metamaterials
Metamaterials can exhibit exotic nonreciprocal properties, yet corresponding fundamental limits and design blueprints achieving them are largely unexplored. Here, we derive comprehensive bounds on the effective nonreciprocal properties of three-dimensional metamaterials and identify microstructures achieving or approaching these bounds. We assume that the underlying equations are equivalent to the conductivity problem in a weak applied magnetic field. While we focus on the Hall effect, our resu…

Fast and Compact Sketch-Based Dynamic Connectivity
Quinten De Man, Qamber Jafri, Daniel Delayo, Evan T. West, Michael A. Bender, David Tench
https://arxiv.org/abs/2509.14433 htt…

Fast and Compact Sketch-Based Dynamic Connectivity
We study the dynamic connectivity problem for massive, dense graphs. Our goal is to build a system for dense graphs that simultaneously answers connectivity queries quickly, maintains a fast update throughput, and a uses a small amount of memory. Existing systems at best achieve two of these three performance goals at once. We present a parallel dynamic connectivity algorithm using graph sketching techniques that has space complexity $O(V \log^3 V)$ and query complexity $O(\log V/\log\log V)$…

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves
Roberto Feola, Riccardo Montalto, Shulamit Terracina
https://arxiv.org/abs/2509.10318 https://

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves
Starting with the pioneering computations of Stokes in 1847, the search of traveling waves in fluid mechanics has always been a fundamental topic, since they can be seen as building blocks to determine the long time dynamics (which is a widely open problem). In this paper we prove the existence of time quasi-periodic traveling wave solutions for three-dimensional pure gravity water waves in finite depth, on flat tori, with an arbitrary number of speeds of propagation. These solutions are global…

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new
[1/1]:
- A robust BFGS algorithm for unconstrained nonlinear optimization problems
Yaguang Yang
https://arxiv.org/abs/1212.5929
- Quantum computing and the stable set problem
Alja\v{z} Krpan, Janez Povh, Dunja Pucher
https://arxiv.org/abs/2405.12845 https://mastoxiv.page/@arXiv_mathOC_bot/112483516437815686
- Mean Field Game with Reflected Jump Diffusion Dynamics: A Linear Programming Approach
Zongxia Liang, Xiang Yu, Keyu Zhang
https://arxiv.org/abs/2508.20388 https://mastoxiv.page/@arXiv_mathOC_bot/115111048711698998
- Differential Dynamic Programming for the Optimal Control Problem with an Ellipsoidal Target Set a...
Sungjun Eom, Gyunghoon Park
https://arxiv.org/abs/2509.07546 https://mastoxiv.page/@arXiv_mathOC_bot/115179281556444440
- On the Moreau envelope properties of weakly convex functions
Marien Renaud, Arthur Leclaire, Nicolas Papadakis
https://arxiv.org/abs/2509.13960 https://mastoxiv.page/@arXiv_mathOC_bot/115224514482363803
- Automated algorithm design via Nevanlinna-Pick interpolation
Ibrahim K. Ozaslan, Tryphon T. Georgiou, Mihailo R. Jovanovic
https://arxiv.org/abs/2509.21416 https://mastoxiv.page/@arXiv_mathOC_bot/115286533597711930
- Optimal Control of a Bioeconomic Crop-Energy System with Energy Reinvestment
Othman Cherkaoui Dekkaki
https://arxiv.org/abs/2510.11381 https://mastoxiv.page/@arXiv_mathOC_bot/115372322896073250
- Point Convergence Analysis of the Accelerated Gradient Method for Multiobjective Optimization: Co...
Yingdong Yin
https://arxiv.org/abs/2510.26382 https://mastoxiv.page/@arXiv_mathOC_bot/115468018035252078
- History-Aware Adaptive High-Order Tensor Regularization
Chang He, Bo Jiang, Yuntian Jiang, Chuwen Zhang, Shuzhong Zhang
https://arxiv.org/abs/2511.05788
- Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
Jos\'e Antonio Carrillo, Sondre Tesdal Galtung
https://arxiv.org/abs/2312.04932 https://mastoxiv.page/@arXiv_mathAP_bot/111560077272113052
- Kernel Modelling of Fading Memory Systems
Yongkang Huo, Thomas Chaffey, Rodolphe Sepulchre
https://arxiv.org/abs/2403.11945 https://mastoxiv.page/@arXiv_eessSY_bot/112121123836064435
- The Maximum Theoretical Ground Speed of the Wheeled Vehicle
Altay Zhakatayev, Mukatai Nemerebayev
https://arxiv.org/abs/2502.15341 https://mastoxiv.page/@arXiv_physicsclassph_bot/114057765769441123
- Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
Giacomo Greco, Luca Tamanini
https://arxiv.org/abs/2504.11133 https://mastoxiv.page/@arXiv_mathPR_bot/114346453424694503
- Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with con...
Matthias Baur
https://arxiv.org/abs/2504.21597 https://mastoxiv.page/@arXiv_mathph_bot/114431404740241516
- A localized consensus-based sampling algorithm
Arne Bouillon, Alexander Bodard, Panagiotis Patrinos, Dirk Nuyens, Giovanni Samaey
https://arxiv.org/abs/2505.24861 https://mastoxiv.page/@arXiv_mathNA_bot/114612580684567066
- A Novel Sliced Fused Gromov-Wasserstein Distance
Moritz Piening, Robert Beinert
https://arxiv.org/abs/2508.02364 https://mastoxiv.page/@arXiv_csLG_bot/114976243138728278
- Minimal Regret Walras Equilibria for Combinatorial Markets via Duality, Integrality, and Sensitiv...
Alo\"is Duguet, Tobias Harks, Martin Schmidt, Julian Schwarz
https://arxiv.org/abs/2511.09021 https://mastoxiv.page/@arXiv_csGT_bot/115541243299714775
toXiv_bot_toot

Mitigating the barren plateau problem in linear optics
Matthew D. Horner
https://arxiv.org/abs/2510.02430 https://arxiv.org/pdf/2510.02430

Mitigating the barren plateau problem in linear optics
We demonstrate a significant speedup of variational quantum algorithms that use discrete variable boson sampling when the parametrised phase shifters are constrained to have two distinct eigenvalues. This results in a cost landscape with less local minima and barren plateaus regardless of the problem, ansatz or circuit layout. This works without reliance on any classical pre-processing and allows for the fast gradient-free Rotosolve algorithm to be used. We propose three ways to achieve this by…

Inverse problem for the Navier-Stokes equations and identification of immersed obstacles in the Mediterranean Sea
Mourad Hrizi, Marwa Ouni, Maatoug Hassine
https://arxiv.org/abs/2509.05287

Inverse problem for the Navier-Stokes equations and identification of immersed obstacles in the Mediterranean Sea
This paper presents a theoretical and numerical investigation of object detection in a fluid governed by the three-dimensional evolutionary Navier--Stokes equations. To solve this inverse problem, we assume that interior velocity measurements are available only within a localized subregion of the fluid domain. First, we present an identifiability result. We then formulate the problem as a shape optimization task: to identify the obstacle, we minimize a nonlinear least-squares criterion with a r…

Robust Cislunar Navigation via LFT-Based $\mathcal{H}_\infty$ Filtering with Bearing-Only Measurements
Raktim Bhattacharya
https://arxiv.org/abs/2510.04942 https://

Robust Cislunar Navigation via LFT-Based $\mathcal{H}_\infty$ Filtering with Bearing-Only Measurements
This paper develops a robust estimation framework for cislunar navigation that embeds the Circular Restricted Three-Body Problem (CR3BP) dynamics and bearing-only optical measurements within a Linear Fractional Transformation (LFT) representation. A full-order $\mathcal{H}_\infty$ observer is synthesized with explicit $\mathcal{L}_2$ performance bounds. The formulation yields a nonlinear estimator that operates directly on the governing equations and avoids reliance on local linearizations. Dom…

Convergence Filters for Efficient Economic MPC of Non-dissipative Systems
Defeng He, Weiliang Xiong, Shiqiang He, Haiping Du
https://arxiv.org/abs/2509.11869 https://

Convergence Filters for Efficient Economic MPC of Non-dissipative Systems
This note presents a novel, efficient economic model predictive control (EMPC) scheme for non-dissipative systems subject to state and input constraints. A new conception of convergence filters is defined to address the stability issue of EMPC for constrained non-dissipative systems. Three convergence filters are designed accordingly to be imposed into the receding horizon optimization problem of EMPC. To improve online computational efficiency, the variable horizon idea without terminal constr…

From KP-I Lump Solution to Travelling wave of 3D Gravity Capillary Water wave problem
Changfeng Gui, Shanfa Lai, Yong Liu, Juncheng Wei, Wen Yang
https://arxiv.org/abs/2509.06084

From KP-I Lump Solution to Travelling wave of 3D Gravity Capillary Water wave problem
In this paper, we study the three-dimensional gravity-capillary water wave problem involving an irrotational, perfect fluid with gravity and surface tension. We focus on steady waves propagating uniformly in one direction. Assuming constant wave speed and water depth, we analyze the fluid's velocity potential and boundary conditions. Using the Kadomtsev-Petviashvili (KP)-I equation as a simplified model, we show that, within a specific parameter range, the problem admits a fully localized solit…

An approach using geometric diagrams to generic Bell inequalities with multiple observables
Junghee Ryu, Jinhyoung Lee, Hoon Ryu
https://arxiv.org/abs/2510.05622 https://…

An approach using geometric diagrams to generic Bell inequalities with multiple observables
We extend the generic Bell inequalities suggested by Son, Lee, and Kim [Phys. Rev. Lett. 96, 060406 (2006)] to incorporate multiple observables for tripartite systems and introduce a geometric methodology for calculating classical upper bounds of the inequalities. Our method transforms the problem of finding the classical upper bounds into identifying constraints in linear congruence relations. Using this approach, we derive the upper bounds for scenarios with three and four observables per par…

Global well-posedness and large time behavior of 3D incompressible inhomogeneous magnetohydrodynamic equations in the exterior of a cylinder
Jitao Liu, Min Liu
https://arxiv.org/abs/2509.06293

Global well-posedness and large time behavior of 3D incompressible inhomogeneous magnetohydrodynamic equations in the exterior of a cylinder
When the vaccum is allowed, if the global existence and uniqueness of strong solutions to three dimensional incompressible inhomogeneous magnetohydrodynamic equations holds true or not has always been a challenging open problem, even for the magnetofluids with special structures. In this paper, through deeply exploring the internal structure and characteristic of axisymmetric flows, we obtain some new discoveries and give a partial answer to above issue. More precisely, we prove that the axisym…

Finite element analysis of an eigenvalue problem arising from neutron transport
Nicol\'as A. Barnafi, Felipe Lepe, Francisca Mu\~noz Riquelme
https://arxiv.org/abs/2510.05368

Finite element analysis of an eigenvalue problem arising from neutron transport
In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a standard finite element approximation based on piecewise polynomials of degree $k \geq 1$, and under the framework of the compact operators theory, we prove convergence and error estimates of the proposed method. We report a series of numerical tests in order …

Optimal Control of a Hemivariational Inequality of Stationary Convective Brinkman-Forchheimer Extended Darcy equations with Numerical Approximation
Wasim Akram, Manil T. Mohan
https://arxiv.org/abs/2509.09287

Optimal Control of a Hemivariational Inequality of Stationary Convective Brinkman-Forchheimer Extended Darcy equations with Numerical Approximation
This paper studies an optimal control problem for a stationary convective Brinkman-Forchheimer extended Darcy (CBFeD) hemivariational inequality in two and three dimensions, subject to control constraints, and develops its numerical approximation. The hemivariational inequality provides the weak formulation of a stationary incompressible fluid flow through a porous medium, governed by the CBFeD equations, which account for convection, damping, and nonlinear resistance effects. The problem incor…