Tootfinder

Hunter Biden drops his Fox News lawsuit for airing explicit images of him in a 2022 miniseries, his second time filing and then dropping a lawsuit against Fox (Marshall Cohen/CNN)
https://www.cnn.com/2025/06/06/media/hunter-biden-drops-lawsuit-agai…

Hunter Biden drops lawsuit against Fox News — for the second time
Hunter Biden on Friday dropped a second lawsuit that accused the right-wing network of unlawfully airing sexually explicit images of him.

Explicit Symplectic Integrators for Massive Point Vortex Dynamics in Binary Mixture of Bose--Einstein Condensates
Tomoki Ohsawa
https://arxiv.org/abs/2506.03486

Explicit Symplectic Integrators for Massive Point Vortex Dynamics in Binary Mixture of Bose--Einstein Condensates
We construct explicit integrators for massive point vortex dynamics in binary mixture of Bose--Einstein condensates proposed by Richaud et al. The integrators are symplectic and preserve the angular momentum of the system exactly. Our main focus is the small-mass regime in which the minor component of the binary mixture comprises a very small fraction of the total mass. The solution behaviors in this regime change significantly depending on the initial momenta: they are highly oscillatory unles…

Explicit Universal and Approximate-Universal Kernels on Compact Metric Spaces
Eloi Tanguy
https://arxiv.org/abs/2506.03661 https://ar…

Explicit Universal and Approximate-Universal Kernels on Compact Metric Spaces
Universal kernels, whose Reproducing Kernel Hilbert Space is dense in the space of continuous functions are of great practical and theoretical interest. In this paper, we introduce an explicit construction of universal kernels on compact metric spaces. We also introduce a notion of approximate universality, and construct tractable kernels that are approximately universal.

Grapheme-Coherent Phonemic and Prosodic Annotation of Speech by Implicit and Explicit Grapheme Conditioning
Hien Ohnaka, Yuma Shirahata, Byeongseon Park, Ryuichi Yamamoto
https://arxiv.org/abs/2506.04527

Grapheme-Coherent Phonemic and Prosodic Annotation of Speech by Implicit and Explicit Grapheme Conditioning
We propose a model to obtain phonemic and prosodic labels of speech that are coherent with graphemes. Unlike previous methods that simply fine-tune a pre-trained ASR model with the labels, the proposed model conditions the label generation on corresponding graphemes by two methods: 1) Add implicit grapheme conditioning through prompt encoder using pre-trained BERT features. 2) Explicitly prune the label hypotheses inconsistent with the grapheme during inference. These methods enable obtaining p…

This https://arxiv.org/abs/2506.02139 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Unified Cognitive Consciousness Theory for Language Models: Anchoring Semantics, Thresholds of Activation, and Emergent Reasoning
Few-shot learning in large language models (LLMs) reveals a core paradox: certain tasks generalize from just a few examples, while others demand extensive supervision. To explain this, we introduce the Unified Cognitive Consciousness Theory (UCCT), which reconceptualizes LLMs not as deficient agents, but as unconscious substrates: dense, distributed repositories of linguistic and conceptual patterns that operate without explicit semantics, intention, or goal-directed reasoning. Under this view,…

Redefining Functionality and Construction-Defining Capacity: Functions as Principles of Syntactic and Semantic Generation
Yumiko Nishiyama
https://arxiv.org/abs/2506.04278

Redefining Functionality and Construction-Defining Capacity: Functions as Principles of Syntactic and Semantic Generation
This study redefines the notion of functionality-traditionally understood as a property of mappings or structure preservation-from a more fundamental and generative perspective. Introducing the concept of a Construction-Defining function (CDF), we formalize functionality as a dual capacity to generate both syntactic terms and semantic interpretations. We provide an explicit axiomatization of CDF based on syntactic generativity and semantic compositionality, and further construct categorical mod…

This https://arxiv.org/abs/2402.14796 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Explicit formulae for linear characters of $Γ_0(N)$
We give explicit formulae for a class of complex linear unitary characters of the congruence subgroups $Γ_0(N)$ which involve a variant of Rademacher's $Ψ$ function. We then prove that these characters cover all characters of $Γ_0(N)$ precisely when $N=1,2,3,4,5,6,7,8,10,12,13$.

This https://arxiv.org/abs/2506.01832 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCC_…

Pseudorandom bits for non-commutative programs
We obtain new explicit pseudorandom generators for several computational models involving groups. Our main results are as follows: 1. We consider read-once group-products over a finite group $G$, i.e., tests of the form $\prod_{i=1}^n g_i^{x_i}$ where $g_i\in G$, a special case of read-once permutation branching programs. We give generators with optimal seed length $c_G \log(n/\varepsilon)$ over any $p$-group. The proof uses the small-bias plus noise paradigm, but derandomizes the noise to av…

The Hesse pencil of plane curves and osculating conics
Ewelina Nawara
https://arxiv.org/abs/2506.04662 https://arxiv.org/pdf/2506.046…

The Hesse pencil of plane curves and osculating conics
In this paper, we revisit the classical problem of determining osculating conics and sextactic points for a given algebraic curve. Our focus is on a particular family of plane cubic curves known as the Hesse pencil. By employing classical tools from projective differential geometry, we derive explicit coordinates for these special points. The resulting formulas not only clarify previous approaches but also lead to the construction of new families of free and nearly free curves, extending recent…

Towards generating more interpretable counterfactuals via concept vectors: a preliminary study on chest X-rays
Bulat Maksudov, Kathleen Curran, Alessandra Mileo
https://arxiv.org/abs/2506.04058

Towards generating more interpretable counterfactuals via concept vectors: a preliminary study on chest X-rays
An essential step in deploying medical imaging models is ensuring alignment with clinical knowledge and interpretability. We focus on mapping clinical concepts into the latent space of generative models to identify Concept Activation Vectors (CAVs). Using a simple reconstruction autoencoder, we link user-defined concepts to image-level features without explicit label training. The extracted concepts are stable across datasets, enabling visual explanations that highlight clinically relevant feat…

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

This https://arxiv.org/abs/2506.00521 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Convergence rates of regularized quasi-Newton methods without strong convexity
In this paper, we study convergence rates of the cubic regularized proximal quasi-Newton method (\csr) for solving non-smooth additive composite problems that satisfy the so-called Kurdyka-Łojasiewicz (KŁ) property with respect to some desingularization function $ϕ$ rather than strong convexity. After a number of iterations $k_0$, \csr\ exhibits non-asymptotic explicit super-linear convergence rates for any $k\geq k_0$. In particular, when $ϕ(t)=ct^{1/2}$, Cubic SR1 PQN has a convergence ra…

This https://arxiv.org/abs/2409.18745 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

A study on the effects of mixed explicit and implicit communications in human-virtual-agent interactions
Communication between humans and robots (or virtual agents) is essential for interaction and often inspired by human communication, which uses gestures, facial expressions, gaze direction, and other explicit and implicit means. This work presents an interaction experiment where humans and virtual agents interact through explicit (gestures, manual entries using mouse and keyboard, voice, sound, and information on screen) and implicit (gaze direction, location, facial expressions, and raise of ey…

Equivariant deformation problems and homotopy operators
Sebasti\'an Daza, Jo\~ao Nuno Mestre
https://arxiv.org/abs/2506.03967 https://

Equivariant deformation problems and homotopy operators
We use homotopy operators for the $L_\infty$-algebra associated with an equivariant deformation problem in order to describe a smooth parametrization of the space of structures around a given one. Along the way we give new algebraic and explicit proofs of rigidity and unobstructedness theorems.

This https://arxiv.org/abs/2403.17490 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Reconstruction of hypersurfaces from their invariants
Let $K$ be a field of characteristic $0$. We present an explicit algorithm that, given the invariants of a generic homogeneous polynomial $f$ under the linear action of $\mathrm{GL}_n$ or $\mathrm{SL}_n$, returns a polynomial differing from $f$ only by a linear change of variables with coefficients in a finite extension of $K$. Our approach uses the theory of covariants and the Veronese embeddings to characterize the linear equivalence class of a homogeneous polynomial through equations whose c…

This https://arxiv.org/abs/2504.10505 has been replaced.
initial toot: https://mastoxiv.page/@ar…

On sloshing in containers with porous baffles
Sloshing eigenvalues are studied for containers with porous baffles extending throughout the constant (possibly infinite) depth. The fluid transmission across the baffles is described by Darcy's law, and so the spectral problem is nonself-adjoint. In particular, much attention is paid to vertical cylinders with circular walls and radial baffles. Explicit solutions are obtained, whose crucial feature is that the corresponding pressure difference vanishes across the baffle. These real solutions c…

Exponential Time Differencing Runge-Kutta Discontinuous Galerkin (ETD-RKDG) Methods for Nonlinear Degenerate Parabolic Equations
Ziyao Xu, Yong-Tao Zhang
https://arxiv.org/abs/2506.04416

Exponential Time Differencing Runge-Kutta Discontinuous Galerkin (ETD-RKDG) Methods for Nonlinear Degenerate Parabolic Equations
In this paper, we study high-order exponential time differencing Runge-Kutta (ETD-RK) discontinuous Galerkin (DG) methods for nonlinear degenerate parabolic equations. This class of equations exhibits hyperbolic behavior in degenerate regions and parabolic behavior in non-degenerate regions, resulting in sharp wave fronts in the solution profiles and a parabolic-type time-step restriction, $τ\sim O(h^2)$, for explicit time integration. To address these challenges and solve such equations in co…

Uniform Sampling of Surfaces by Casting Rays
Selena Ling, Abhishek Madan, Nicholas Sharp, Alec Jacobson
https://arxiv.org/abs/2506.05268 https://

Uniform Sampling of Surfaces by Casting Rays
Randomly sampling points on surfaces is an essential operation in geometry processing. This sampling is computationally straightforward on explicit meshes, but it is much more difficult on other shape representations, such as widely-used implicit surfaces. This work studies a simple and general scheme for sampling points on a surface, which is derived from a connection to the intersections of random rays with the surface. Concretely, given a subroutine to cast a ray against a surface and find a…

CamCloneMaster: Enabling Reference-based Camera Control for Video Generation
Yawen Luo, Jianhong Bai, Xiaoyu Shi, Menghan Xia, Xintao Wang, Pengfei Wan, Di Zhang, Kun Gai, Tianfan Xue
https://arxiv.org/abs/2506.03140

CamCloneMaster: Enabling Reference-based Camera Control for Video Generation
Camera control is crucial for generating expressive and cinematic videos. Existing methods rely on explicit sequences of camera parameters as control conditions, which can be cumbersome for users to construct, particularly for intricate camera movements. To provide a more intuitive camera control method, we propose CamCloneMaster, a framework that enables users to replicate camera movements from reference videos without requiring camera parameters or test-time fine-tuning. CamCloneMaster seamle…

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
Roman Lavicka, Allan Merino
https://arxiv.org/abs/2506.04075 http…

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
The goal of our work is to study the decomposition of the joint action of $\mathfrak{g} = \mathfrak{spo}(2n|1)$ and $\mathfrak{g}' = \mathfrak{osp}(2|2)$ on the supersymmetric algebra S = S($\mathbb{C}^{2n|1} \otimes \mathbb{C}^{1|1}$). As proved by Merino and Salmasian, we have a one-to-one correspondence between irreducible representations of $\mathfrak{g}$ and $\mathfrak{g}'$ appearing as subrepresentations of S. In this paper, we obtained an explicit description of the h…

This https://arxiv.org/abs/2312.02965 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Conditional constrained and unconstrained quantization for probability distributions
In this paper, we introduce and develop the concept of conditional quantization for Borel probability measures on $\mathbb{R}^k,$ considering both constrained and unconstrained frameworks. For each setting, we define the associated quantization errors, dimensions, and coefficients, and provide explicit computations for specific classes of probability distributions. A key result in the unconstrained case is that the union of all optimal sets of $ n$-means is dense in the support of the measure. …

Hyperbolicity and GCD for n 1 divisors with non-empty intersection
Julie Tzu-Yueh Wang, Zheng Xiao
#toXiv_bot_toot

LLMs are starving for knowledge graphs. Raphael Troncy was pointing out that many LLM company crawlers are constantly visiting their KGs. Some crawlers even perform explicit SPARQL queries on the KGs.
#knowledgegraphs #eswc2025

This https://arxiv.org/abs/2505.15672 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
We present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of the isotropic oscillator (for positive, purely imaginary and zero frequency) and one of its possible deformations. We show that such a Lie algebra appears naturally also within the context of maximally superintegrable discretizations of the isotropic harmonic oscillator. After an in-depth analysis of the properties characterizing the Lie algebra in the purely abstract setting, we construct explicit iso…

🇺🇦 #NowPlaying on #BBC6Music's #LoudAndProud
Planningtorock:
🎵 Get your Fkng Laws off my Body
#Planningtorock
https://liveonacid.bandcamp.com/track/planningtorock-get-your-fkng-laws-off-my-body-live-on-acid-remix-explicit

I'll test it on Apples.
I use the Orion browser on Apple computers. EFF's attempting to tell advertisers to USE EXPLICIT METHODS to control ads, and our privacy.
The Orion browser has its own "advanced" blockers.
But because it has Firefox extensions, it should "work" in Orion (the free browser by search engine company Kagi). Also, on iPads and iPhones, extensions work in Orion, but not Safari.
Privacy is a Human Right.

A highly scalable numerical framework for reservoir simulation on UG4 platform
Shuai Lu
https://arxiv.org/abs/2506.04763 https://arxi…

A highly scalable numerical framework for reservoir simulation on UG4 platform
The modeling and simulation of multiphase fluid flow receive significant attention in reservoir engineering. Many time discretization schemes for multiphase flow equations are either explicit or semi-implicit, relying on the decoupling between the saturation equation and the pressure equation. In this study, we delve into a fully coupled and fully implicit framework for simulating multiphase flow in heterogeneous porous media, considering gravity and capillary effects. We utilize the Vertex-Cen…

i don't personally do retrocomputing but a lot of the design for #GlasgowInterfaceExplorer is made with an explicit purpose of making retrocomputing nicer (for example, the support for true 5 V TTL that we went to great lengths to preserve, vs. only supporting 3.3 V at most)
i'm quite happy to add support for more retro interfaces to it too

This https://arxiv.org/abs/2411.00296 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Applying numerosity to surreal integration
We introduce the concept of numerosity, a measure of a set's size, more precise than cardinality and satisfying the Euclid's principle "the whole is greater than a part" as a surreal number and provide an explicit formula for expressing numerosities of some sequences as surreal expressions, with examples. Then (mapping surreal numbers to divergent integrals and interpreting them as Laplace transforms) we introduce a surreal-valued function that shares many properties with the Dirac Delta distri…

Localised and Delocalised Charge Distribution in a Diamine Cation and Rydberg Excited State: A Challenging Test for Density Functionals
Benedikt O. Birgisson, Marta Ga{\l}y\'nska, Hemanadhan Myneni, Elvar \"O. J\'onsson, Ragnar Bjornsson, Hannes J\'onsson
https://arxiv.org/abs/2506.05077

Localised and Delocalised Charge Distribution in a Diamine Cation and Rydberg Excited State: A Challenging Test for Density Functionals
The balance between localised and delocalised electron distribution in the N,N'-dimethylpiperazine (DMP) molecule in the 3s Rydberg excited state and in the fully ionised DMP$^+$ provides a valuable test of density functionals, in particular the weight of Fock exchange (FE) in hybrid functionals and the scaling of explicit orbital-based self-interaction correction (SIC) applied to less elaborate functionals. We present results of calculations using density functionals of all rungs of Jacob's la…

Spegion: Implicit and Non-Lexical Regions with Sized Allocations
Jack Hughes, Michael Vollmer, Mark Batty
https://arxiv.org/abs/2506.02182 https://

Spegion: Implicit and Non-Lexical Regions with Sized Allocations
Region based memory management is a powerful tool designed with the goal of ensuring memory safety statically. The region calculus of Tofte and Talpin is a well known example of a region based system, which uses regions to manage memory in a stack-like fashion. However, the region calculus is lexically scoped and requires explicit annotation of memory regions, which can be cumbersome for the programmer. Other systems have addressed non-lexical regions, but these approaches typically require the…

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro
https://arxiv.org/abs/2506.03432

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
We consider semiclassical orthogonal polynomials on the unit circle associated with a weight function that satisfy a Pearson-type differential equation involving two polynomials of degree at most three. Structure relations and difference equations for these orthogonal polynomials are found, and, as a consequence, explicit first and second order differential equations are derived. Among the applications, differential equations for a family of polynomials that generalizes the Jacobi polynomials o…

This https://arxiv.org/abs/2501.07849 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSE_…

The Invisible Hand: Unveiling Provider Bias in Large Language Models for Code Generation
Large Language Models (LLMs) have emerged as the new recommendation engines, surpassing traditional methods in both capability and scope, particularly in code generation. In this paper, we reveal a novel provider bias in LLMs: without explicit directives, these models show systematic preferences for services from specific providers in their recommendations (e.g., favoring Google Cloud over Microsoft Azure). To systematically investigate this bias, we develop an automated pipeline to construct t…

An exceptional equinumerosity of lattice paths and Young tableaux
Liam Ayres, Evan Bialo, Aidan Cook, Alwin Chen, Matteus Froese, Erica Liu, Maryam Mohammadi Yekta, Oliver Pechenik, Benjamin Wong
https://arxiv.org/abs/2506.03116

An exceptional equinumerosity of lattice paths and Young tableaux
We consider families $\mathcal{P}_n$ of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous with the set $\mathrm{SYT}(n+2,2,1^n)$ of standard Young tableaux.

This https://arxiv.org/abs/2502.10370 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Explicit Formulas for the Alexander Polynomial of Pretzel Knots
We provide explicit formulas for the Alexander polynomial of pretzel knots and establish several immediate corollaries, including the characterization of pretzel knots with a trivial Alexander polynomial.

SNIFR : Boosting Fine-Grained Child Harmful Content Detection Through Audio-Visual Alignment with Cascaded Cross-Transformer
Orchid Chetia Phukan, Mohd Mujtaba Akhtar, Girish, Swarup Ranjan Behera, Abu Osama Siddiqui, Sarthak Jain, Priyabrata Mallick, Jaya Sai Kiran Patibandla, Pailla Balakrishna Reddy, Arun Balaji Buduru, Rajesh Sharma
https://

SNIFR : Boosting Fine-Grained Child Harmful Content Detection Through Audio-Visual Alignment with Cascaded Cross-Transformer
As video-sharing platforms have grown over the past decade, child viewership has surged, increasing the need for precise detection of harmful content like violence or explicit scenes. Malicious users exploit moderation systems by embedding unsafe content in minimal frames to evade detection. While prior research has focused on visual cues and advanced such fine-grained detection, audio features remain underexplored. In this study, we embed audio cues with visual for fine-grained child harmful c…

EvoGit: Decentralized Code Evolution via Git-Based Multi-Agent Collaboration
Beichen Huang, Ran Cheng, Kay Chen Tan
https://arxiv.org/abs/2506.02049 https:…

EvoGit: Decentralized Code Evolution via Git-Based Multi-Agent Collaboration
We introduce EvoGit, a decentralized multi-agent framework for collaborative software development driven by autonomous code evolution. EvoGit deploys a population of independent coding agents, each proposing edits to a shared codebase without centralized coordination, explicit message passing, or shared memory. Instead, all coordination emerges through a Git-based phylogenetic graph that tracks the full version lineage and enables agents to asynchronously read from and write to the evolving cod…

Decidability of multiplicative matrix equations and related Diophantine problems
Sebastian Heintze, Armand Noubissie, Robert F. Tichy
https://arxiv.org/abs/2506.03932

Decidability of multiplicative matrix equations and related Diophantine problems
Some new decidability results for multiplicative matrix equations over algebraic number fields are established. In particular, special instances of the so-called knapsack problem are considered. The proofs are based on effective methods for Diophantine problems in finitely generated domains as presented in the recent book of Evertse and Györy. The focus lies on explicit bounds for the size of the solutions in terms of heights as well as on bounds for the number of solutions. This approach also…

Numerical invariants of hyper-K\"ahler manifolds
Olivier Debarre, Chen Jiang
https://arxiv.org/abs/2506.04177 https://arxiv.org/…

Numerical invariants of hyper-Kähler manifolds
We study various constraints on the Beauville quadratic form and the Huybrechts-Riemann-Roch polynomial for hyper-Kähler manifolds, mostly in dimension 6 and in the presence of an isotropic class. In an appendix, Chen Jiang proves that in general, the Huybrechts-Riemann-Roch polynomial can always be written as a linear combination with nonnegative coefficients of certain explicit polynomials with positive coefficients. This implies that the Huybrechts-Riemann-Roch polynomial satisfies a curi…

This https://arxiv.org/abs/2407.12518 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization
In this paper, we aim to study non-convex minimization problems via second-order (in-time) dynamics, including a non-vanishing viscous damping and a geometric Hessian-driven damping. Second-order systems that only rely on a viscous damping may suffer from oscillation problems towards the minima, while the inclusion of a Hessian-driven damping term is known to reduce this effect without explicit construction of the Hessian in practice. There are essentially two ways to introduce the Hessian-driv…

This https://arxiv.org/abs/2505.17155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

TrimR: Verifier-based Training-Free Thinking Compression for Efficient Test-Time Scaling
Large Reasoning Models (LRMs) demonstrate exceptional capability in tackling complex mathematical, logical, and coding tasks by leveraging extended Chain-of-Thought (CoT) reasoning. Test-time scaling methods, such as prolonging CoT with explicit token-level exploration, can push LRMs' accuracy boundaries, but they incur significant decoding overhead. A key inefficiency source is LRMs often generate redundant thinking CoTs, which demonstrate clear structured overthinking and underthinking patter…

Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements
Markus Johannes Stroppel
https://arxiv.org/abs/2506.02732

Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements
We construct the smallest Ree-Tits unital from a group of matrices that is isomorphic to the commutator group of the corresponding Ree group. The matrix description is used to determine configurations in the unital via explicit computations. Embeddings into larger Ree-Tits unitals are made explicit.

This https://arxiv.org/abs/2111.14796 has been replaced.
link: https://scholar.google.com/scholar?q=a

Familial Monads as Higher Category Theories
Categories, n-categories, double categories, and multicategories (among others) all have similar definitions as collections of cells with composition operations. We give an explicit description of the information required to define any higher category structure which arises as algebras for a familially representable monad on a presheaf category, then use this to describe several examples relating to higher category theory and cubical sets. The proof of this characterization avoids tedious natur…

SRPO: Enhancing Multimodal LLM Reasoning via Reflection-Aware Reinforcement Learning
Zhongwei Wan, Zhihao Dou, Che Liu, Yu Zhang, Dongfei Cui, Qinjian Zhao, Hui Shen, Jing Xiong, Yi Xin, Yifan Jiang, Yangfan He, Mi Zhang, Shen Yan
https://arxiv.org/abs/2506.01713

SRPO: Enhancing Multimodal LLM Reasoning via Reflection-Aware Reinforcement Learning
Multimodal large language models (MLLMs) have shown promising capabilities in reasoning tasks, yet still struggle with complex problems requiring explicit self-reflection and self-correction, especially compared to their unimodal text-based counterparts. Existing reflection methods are simplistic and struggle to generate meaningful and instructive feedback, as the reasoning ability and knowledge limits of pre-trained models are largely fixed during initial training. To overcome these challenges…

Me gustó mucho la herramienta de cifrado de ficheros age https://github.com/FiloSottile/age y me puse a hacer un pequeño script para poder cifrar directorios de forma recursiva, desencriptarlos, tener definidas varias bóvedas en distintos ficheros de variables para poder descifrar unos u otros...…

This https://arxiv.org/abs/2404.05637 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

First-order phase transitions in the cores of neutron stars
I explore various scenarios for the phase transition within neutron-star matter. I do so by generating large model-agnostic ensemble using Gaussian processes, both with and without explicit inclusion of first-order phase transitions (FOPTs). The ensemble is conditioned with state-of-the-art astrophysical and theoretical inputs in a fully Bayesian approach. I study how the current data affect the posterior probability of the location and the strength of FOPT. I find that the previously observed …

This https://arxiv.org/abs/2501.18569 has been replaced.
initial toot: https://mastoxiv.page/@…

Derivation of the free energy, entropy and specific heat for planar Ising models: Application to Archimedean lattices and their duals
The 2d ferromagnetic Ising model was solved by Onsager on the square lattice in 1944, and an explicit expression of the free energy density $f$ is presently available for some other planar lattices. But an exact derivation of the critical temperature $T_c$ only requires a partial derivation of $f$. It has been performed on many lattices, including the 11 Archimedean lattices. In this article, we give general expressions of the free energy, energy, entropy and specific heat for planar lattices w…

Benchmarking Large Language Models for Polymer Property Predictions
Sonakshi Gupta, Akhlak Mahmood, Shivank Shukla, Rampi Ramprasad
https://arxiv.org/abs/2506.02129

Benchmarking Large Language Models for Polymer Property Predictions
Machine learning has revolutionized polymer science by enabling rapid property prediction and generative design. Large language models (LLMs) offer further opportunities in polymer informatics by simplifying workflows that traditionally rely on large labeled datasets, handcrafted representations, and complex feature engineering. LLMs leverage natural language inputs through transfer learning, eliminating the need for explicit fingerprinting and streamlining training. In this study, we finetune …

StarVC: A Unified Auto-Regressive Framework for Joint Text and Speech Generation in Voice Conversion
Fengjin Li, Jie Wang, Yadong Niu, Yongqing Wang, Meng Meng, Jian Luan, Zhiyong Wu
https://arxiv.org/abs/2506.02414

StarVC: A Unified Auto-Regressive Framework for Joint Text and Speech Generation in Voice Conversion
Voice Conversion (VC) modifies speech to match a target speaker while preserving linguistic content. Traditional methods usually extract speaker information directly from speech while neglecting the explicit utilization of linguistic content. Since VC fundamentally involves disentangling speaker identity from linguistic content, leveraging structured semantic features could enhance conversion performance. However, previous attempts to incorporate semantic features into VC have shown limited eff…

This https://arxiv.org/abs/2505.15915 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On spatial decay for coherent states of the Benjamin-Ono equation
We consider solutions to the Benjamin-Ono equation $$\partial_t u - H \partial_x^2 u = -\partial_x(u^2)$$ which are localized in a reference frame moving to the right with constant speed. We show that any such solution that decays at least like $\langle x\rangle^{-1-ε}$ for some $ε> 0$ in a comoving coordinate frame must in fact decay like $\langle x\rangle^{-2}$. In view of the explicit soliton solutions, this decay rate is sharp. Our proof has two main ingredients. The first is microloc…

This https://arxiv.org/abs/2503.12737 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Structural properties of reduced $C^*$-algebras associated with higher-rank lattices
We present the first examples of higher-rank lattices whose reduced $C^{*}$-algebras satisfy strict comparison, stable rank one, selflessness, uniqueness of embeddings of the Jiang--Su algebra, and allow explicit computations of the Cuntz semigroup. This resolves a question raised in recent groundbreaking work of Amrutam, Gao, Kunnawalkam Elayavalli, and Patchell, in which they exhibited a large class of finitely generated non-amenable groups satisfying these properties. Our proof relies on qua…

This https://arxiv.org/abs/2503.22664 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Identities of relatively free algebras of Lie nilpotent associative algebras
In this paper, we consider the relatively free algebra of rank $n$, $F_n(\mathfrak{N}_p)$, in the variety of Lie nilpotent associative algebras of index $p$, denoted by $\mathfrak{N}_p$, over a field of characteristic zero. We describe an explicit minimal basis for the polynomial identities of $F_n(\mathfrak{N}_p)$ when $p=3$ and $p=4$, for all $n$, except for $F_3(\mathfrak{N}_4)$. In the general case, we exhibit a lower and an upper bound for the minimal $k$ such that $[x_1,x_2]\cdots[x_{2k-1…

IllumiCraft: Unified Geometry and Illumination Diffusion for Controllable Video Generation
Yuanze Lin, Yi-Wen Chen, Yi-Hsuan Tsai, Ronald Clark, Ming-Hsuan Yang
https://arxiv.org/abs/2506.03150

IllumiCraft: Unified Geometry and Illumination Diffusion for Controllable Video Generation
Although diffusion-based models can generate high-quality and high-resolution video sequences from textual or image inputs, they lack explicit integration of geometric cues when controlling scene lighting and visual appearance across frames. To address this limitation, we propose IllumiCraft, an end-to-end diffusion framework accepting three complementary inputs: (1) high-dynamic-range (HDR) video maps for detailed lighting control; (2) synthetically relit frames with randomized illumination ch…

Bridging the Gap: From Ad-hoc to Proactive Search in Conversations
Chuan Meng, Francesco Tonolini, Fengran Mo, Nikolaos Aletras, Emine Yilmaz, Gabriella Kazai
https://arxiv.org/abs/2506.00983

Bridging the Gap: From Ad-hoc to Proactive Search in Conversations
Proactive search in conversations (PSC) aims to reduce user effort in formulating explicit queries by proactively retrieving useful relevant information given conversational context. Previous work in PSC either directly uses this context as input to off-the-shelf ad-hoc retrievers or further fine-tunes them on PSC data. However, ad-hoc retrievers are pre-trained on short and concise queries, while the PSC input is longer and noisier. This input mismatch between ad-hoc search and PSC limits retr…

REDDIX-NET: A Novel Dataset and Benchmark for Moderating Online Explicit Services
MSVPJ Sathvik, Manan Roy Choudhury, Rishita Agarwal, Sathwik Narkedimilli, Vivek Gupta
https://arxiv.org/abs/2505.23231

REDDIX-NET: A Novel Dataset and Benchmark for Moderating Online Explicit Services
The rise of online platforms has enabled covert illicit activities, including online prostitution, to pose challenges for detection and regulation. In this study, we introduce REDDIX-NET, a novel benchmark dataset specifically designed for moderating online sexual services and going beyond traditional NSFW filters. The dataset is derived from thousands of web-scraped NSFW posts on Reddit and categorizes users into six behavioral classes reflecting different service offerings and user intentions…

This https://arxiv.org/abs/2505.17072 has been replaced.
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Safety Alignment Can Be Not Superficial With Explicit Safety Signals
Recent studies on the safety alignment of large language models (LLMs) have revealed that existing approaches often operate superficially, leaving models vulnerable to various adversarial attacks. Despite their significance, these studies generally fail to offer actionable solutions beyond data augmentation for achieving more robust safety mechanisms. This paper identifies a fundamental cause of this superficiality: existing alignment approaches often presume that models can implicitly learn a …

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Anna-Maria Raukh
https://arxiv.org/abs/2506.04094 https://

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Given a hypersurface $i \colon X \hookrightarrow \widetilde{P}^n$ in a weighted projective space, we compute the intersection form on the second cohomology $H^2(X, \mathbb{Z})^{\otimes n-1} \to \mathbb{Z}$ for the purpose of identifying Fano manifolds obtained from smoothing singular Fanos. In the process, we describe the integer cohomology groups $H^k(X, \mathbb{Z})$ for $k

Type II RR string fields and exotic diffeomorphisms
Raji Ashenafi Mamade, Barton Zwiebach
https://arxiv.org/abs/2506.00120 https://ar…

Type II RR string fields and exotic diffeomorphisms
We study the theory of massless fields of type II strings arising from the string field theory that uses two string fields, a physical one and an extra one that allows the writing of an action, but whose degrees of freedom ultimately decouple. The mechanism allowing the description of the self-dual five-form of type IIB, anticipated by Sen, is used by the SFT to describe all Ramond-Ramond forms in type IIB and IIA in a manifestly duality-invariant way. We find explicit expressions for the leadi…

Modular orthogonal Yangians
Hao Chang, Hongmei Hu
https://arxiv.org/abs/2506.00395 https://arxiv.org/pdf/2506.00395

Modular orthogonal Yangians
We study the (extended) orthogonal Yangians associated to the Lie algebras types $B$ and $D$ over a field of positive characteristic. We define the $p$-center for the Yangians and obtain an explicit description of the center in terms of Drinfeld generators, showing that the center is generated by its Harish-Chandra center together with a large $p$-center.

This https://arxiv.org/abs/2112.14249 has been replaced.
link: https://scholar.google.com/scholar?q=a

Nested Nonparametric Instrumental Variable Regression
Several causal parameters in short panel data models are functionals of a nested nonparametric instrumental variable regression (nested NPIV). Recent examples include mediated, time varying, and long term treatment effects identified using proxy variables. In econometrics, examples arise in triangular simultaneous equations and hedonic price systems. However, it appears that explicit mean square convergence rates for nested NPIV are unknown, preventing inference on some of these parameters with…

Two $2/5$-level mock theta conjecture-like identities
Stepan Konenkov, Eric T. Mortenson
https://arxiv.org/abs/2506.01886 https://arx…

Two $2/5$-level mock theta conjecture-like identities
Determining the explicit forms and modularity for string functions and branching coefficients for Kac--Moody algebras after Kac, Peterson, and Wakimoto is an important problem. In a pair of papers, Borozenets and Mortenson determined the explicit forms for fractional-level string functions for the Kac--Moody algebra $A_{1}^{(1)}$. For positive fractional-level string functions they obtained mock theta conjecture-like identities, and for negative fractional-level string functions, they obtained …

This https://arxiv.org/abs/2406.03987 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Clifford representatives via the uniform algebraic rank
In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and Norine. We prove the Riemann-Roch theorem for the uniform algebraic rank, and show that both the algebraic and the uniform algebraic rank are realized on effective divisors. As an application, we use the uniform algebraic rank to show that Clifford representatives always exist. We conclude with an explicit des…

Free Askey--Wilson functionals and geometric last passage percolation on a strip
Wlodek Bryc, Kamil Szpojankowski, Jacek Wesolowski
https://arxiv.org/abs/2506.01879

Free Askey--Wilson functionals and geometric last passage percolation on a strip
Barraquand, Corwin, and Yang arXiv:2306.05983 established that geometric last passage percolation (LPP) on a strip of $\mathbb{Z}^2$ has a unique stationary measure. Building on this, Barraquand arXiv:2409.08927 derived explicit contour integral formulas for the model's multipoint probability generating function. In this paper, we introduce free Askey--Wilson functionals and use them to extend these generating function formulas. Our framework yields explicit expressions valid over a broader ran…

Speaking of "Adhesiveness" in 1960 David Hockney made a painting titled Adhesiveness. Which arguably depicts Walt Whitman fucking David Hockney, the labels 23 23 and 4 8 being a basic numeric code. Along with We Two Boys Together Clinging these two early works are Hockney referencing Whitman and being explicit about being gay. More info in this article and this one.

Thinking in Character: Advancing Role-Playing Agents with Role-Aware Reasoning
Yihong Tang, Kehai Chen, Muyun Yang, Zhengyu Niu, Jing Li, Tiejun Zhao, Min Zhang
https://arxiv.org/abs/2506.01748

Thinking in Character: Advancing Role-Playing Agents with Role-Aware Reasoning
The advancement of Large Language Models (LLMs) has spurred significant interest in Role-Playing Agents (RPAs) for applications such as emotional companionship and virtual interaction. However, recent RPAs are often built on explicit dialogue data, lacking deep, human-like internal thought processes, resulting in superficial knowledge and style expression. While Large Reasoning Models (LRMs) can be employed to simulate character thought, their direct application is hindered by attention diversi…

Tournament of Prompts: Evolving LLM Instructions Through Structured Debates and Elo Ratings
Anirudh Nair, Adi Banerjee, Laurent Mombaerts, Matthew Hagen, Tarik Borogovac
https://arxiv.org/abs/2506.00178

Tournament of Prompts: Evolving LLM Instructions Through Structured Debates and Elo Ratings
Prompt engineering represents a critical bottleneck to harness the full potential of Large Language Models (LLMs) for solving complex tasks, as it requires specialized expertise, significant trial-and-error, and manual intervention. This challenge is particularly pronounced for tasks involving subjective quality assessment, where defining explicit optimization objectives becomes fundamentally problematic. Existing automated prompt optimization methods falter in these scenarios, as they typicall…

Self-Supervised Spatial Correspondence Across Modalities
Ayush Shrivastava, Andrew Owens
https://arxiv.org/abs/2506.03148 https://arx…

Self-Supervised Spatial Correspondence Across Modalities
We present a method for finding cross-modal space-time correspondences. Given two images from different visual modalities, such as an RGB image and a depth map, our model identifies which pairs of pixels correspond to the same physical points in the scene. To solve this problem, we extend the contrastive random walk framework to simultaneously learn cycle-consistent feature representations for both cross-modal and intra-modal matching. The resulting model is simple and has no explicit photo-con…

Enhanced zeta potentials caused by surface ion mobilities
Evgeny S. Asmolov, Elena F. Silkina, Olga I. Vinogradova
https://arxiv.org/abs/2506.02915 https:/…

Enhanced zeta potentials caused by surface ion mobilities
The electro-hydrodynamics near conducting walls is revisited. Attention is focused on the impact of an explicit diffuse Stern layer, which permittivity and viscosity differ from the bulk values, on the velocity of an electro-osmotic plug flow. To solve this problem we propose an approach of mapping the flow in the Stern layer to the surface dividing the Stern and diffuse layer, where an effective electro-hydrodynamic slip boundary condition is imposed. The latter implies that an effective surfa…

This https://arxiv.org/abs/2409.14156 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Computing the Proximal Operator of the $q$-th Power of the $\ell_{1,q}$-norm for Group Sparsity
In this note, we comprehensively characterize the proximal operator of the $q$-th power of the $\ell_{1,q}$-norm (denoted by $\ell_{1,q}^{q}$) with $0\!<\!q\!<\!1$ by exploiting the well-known proximal operator of $|\cdot|^q$ on the real line. In particular, much more explicit characterizations can be obtained whenever $q\!=\!1/2$ and $q\!=\!2/3$ due to the existence of closed-form expressions for the proximal operators of $|\cdot|^{1/2}$ and $|\cdot|^{2/3}$. Numer…

This https://arxiv.org/abs/2505.23019 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Stairway to Success: Zero-Shot Floor-Aware Object-Goal Navigation via LLM-Driven Coarse-to-Fine Exploration
Object-Goal Navigation (OGN) remains challenging in real-world, multi-floor environments and under open-vocabulary object descriptions. We observe that most episodes in widely used benchmarks such as HM3D and MP3D involve multi-floor buildings, with many requiring explicit floor transitions. However, existing methods are often limited to single-floor settings or predefined object categories. To address these limitations, we tackle two key challenges: (1) efficient cross-level planning and (2) z…

Sums and differences of sets: a further improvement over AlphaEvolve
Fan Zheng
https://arxiv.org/abs/2506.01896 https://arxiv.org/pdf…

Sums and differences of sets: a further improvement over AlphaEvolve
We present a new advancement in the sum and difference of sets problem, which improves upon recent results by both DeepMind's AlphaEvolve ($θ= 1.1584$) and subsequent explicit constructions ($θ= 1.173050$). In this work, we construct a sequence of $U$ sets which in the limit establishes a new lower bound of $θ= 1.173077$.

Pseudorandom bits for non-commutative programs
Chin Ho Lee, Emanuele Viola
https://arxiv.org/abs/2506.01832 https://arxiv.org/pdf/250…

Pseudorandom bits for non-commutative programs
We obtain new explicit pseudorandom generators for several computational models involving groups. Our main results are as follows: 1. We consider read-once group-products over a finite group $G$, i.e., tests of the form $\prod_{i=1}^n g_i^{x_i}$ where $g_i\in G$, a special case of read-once permutation branching programs. We give generators with optimal seed length $c_G \log(n/\varepsilon)$ over any $p$-group. The proof uses the small-bias plus noise paradigm, but derandomizes the noise to av…

On the heat kernel of a Cayley graph of $\operatorname{PSL}_2\mathbb{Z}$
Anders Karlsson, Kamila Kashaeva
https://arxiv.org/abs/2506.02340 https://

On the heat kernel of a Cayley graph of $\operatorname{PSL}_2\mathbb{Z}$
In this paper, we obtain an explicit formula for the heat kernel on the infinite Cayley graph of the modular group $\operatorname{PSL}_2\mathbb{Z}$, given by the presentation $\langle a,b\mid a^2=1, b^3=1\rangle$. Our approach extends the method of Chung--Yau in~\cite{MR1667452} by observing that the Cayley graph strongly and regularly covers a weighted infinite line. We solve the spectral problem on this line to obtain an integral expression for its heat kernel, and then lift this to the Cayle…

Hyperbolic small knots in spherical manifolds
Kazuhiro Ichihara
https://arxiv.org/abs/2506.01041 https://arxiv.org/pdf/2506.01041

Hyperbolic small knots in spherical manifolds
It was conjectured by Lopez that every closed irreducible non-Haken 3-manifold contains a small knot. In this paper, we give explicit examples of hyperbolic small knots in most closed orientable spherical 3-manifolds other than prism manifolds.

Reduced and mixed precision turbulent flow simulations using explicit finite difference schemes
B\'alint Sikl\'osi, Pushpender K. Sharma, David J. Lusher, Istv\'an Z. Reguly, Neil D. Sandham
https://arxiv.org/abs/2505.20911

Reduced and mixed precision turbulent flow simulations using explicit finite difference schemes
The use of reduced and mixed precision computing has gained increasing attention in high-performance computing (HPC) as a means to improve computational efficiency, particularly on modern hardware architectures like GPUs. In this work, we explore the application of mixed precision arithmetic in compressible turbulent flow simulations using explicit finite difference schemes. We extend the OPS and OpenSBLI frameworks to support customizable precision levels, enabling fine-grained control over pr…

This https://arxiv.org/abs/2505.22238 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIR_…

Yambda-5B -- A Large-Scale Multi-modal Dataset for Ranking And Retrieval
We present Yambda-5B, a large-scale open dataset sourced from the Yandex.Music streaming platform. Yambda-5B contains 4.79 billion user-item interactions from 1 million users across 9.39 million tracks. The dataset includes two primary types of interactions: implicit feedback (listening events) and explicit feedback (likes, dislikes, unlikes and undislikes). In addition, we provide audio embeddings for most tracks, generated by a convolutional neural network trained on audio spectrograms. A key…

Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
K. Atalikov, A. Zotov
https://arxiv.org/abs/2506.00938

Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time. Explicit formulae for the change of variables are derived, thus providing the Poisson map between these models.

This https://arxiv.org/abs/2505.15748 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Characterization of bi-parametric potentials and rate of convergence of truncated hypersingular integrals in the Dunkl setting
In this work, we introduce the $β$-semigroup for $β> 0$, which unifies and extends the classical Poisson (for $β=1$) and heat (for $β=2$) semigroups within the Dunkl analysis framework. Leveraging this semigroup, we derive an explicit representation for the inverse of the Dunkl-Riesz potential and characterize the image of the function space $L_k^p(\mathbb{R}^n)$ for $1 \leq p < \frac{n + 2γ}α$. We further define the bi-parametric potential of order $α$ by $$\mathfrak{S}_k^{(α,β)} = \l…

An efficient GPU-accelerated adaptive mesh refinement framework for high-fidelity compressible reactive flows modeling
Yuqi Wang, Yadong Zeng, Ralf Deiterding, Jianhan Liang
https://arxiv.org/abs/2506.02602

An efficient GPU-accelerated adaptive mesh refinement framework for high-fidelity compressible reactive flows modeling
This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized refluxing algorithm, all unified in a highly parallel codebase. We have also developed a low-storage variant of explicit chemical integrators by optimizing the register usage of GPU, achieving respectively 6x and 3x times speedups as compared to the implicit and stan…

On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy
Stefano Marini, Costantino Medori
https://arxiv.org/abs/2506.00897 https://

On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy
This paper present homogeneous CR hypersurfaces satisfying the $CR$-invariant property of being $k$-nondegenerate for an arbitrary integer $k\geq 1$. The construction of such homogeneous manifolds are based on $CR$ algebras defined by irreducible representations of $\mathfrak{su}(2)$. An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given.

Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$
Hansheng Diao, Giovanni Rosso, Ju-Feng Wu
https://arxiv.org/abs/2506.02643 https://

Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$
We construct explicit Eichler-Shimura morphisms for families of overconvergent Siegel modular forms of genus two. These can be viewed as $p$-adic interpolations of the Eichler-Shimura decomposition of Faltings-Chai for classical Siegel modular forms. In particular, we are able to $p$-adically interpolate the entire decomposition, extending our previous work on the $H^0$-part. The key new inputs are the higher Coleman theory of Boxer-Pilloni and a theory of pro-Kummer étale cohomology with supp…

This https://arxiv.org/abs/2504.15989 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSE_…

Optimizing Token Consumption in LLMs: A Nano Surge Approach for Code Reasoning Efficiency
With the increasing adoption of large language models (LLMs) in software engineering, the Chain of Thought (CoT) reasoning paradigm has become an essential approach for automated code repair. However, the explicit multi-step reasoning in CoT leads to substantial increases in token consumption, reducing inference efficiency and raising computational costs, especially for complex code repair tasks. Most prior research has focused on improving the correctness of code repair while largely overlooki…

This https://arxiv.org/abs/2502.18128 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Intertwining operators for representations of covering groups of reductive $p$-adic groups
Let $G$ be a covering group of a reductive $p$-adic group. We study intertwining operators between parabolically induced representations of $G$ and prove that they satisfy certain adjointness relations. The Harish-Chandra $μ$-function is defined as a composition of such intertwining operators for opposite parabolic subgroups of $G$. It can be seen as a complex rational function and we give an explicit formula for it in terms of poles and zeros. The adjointness of the intertwining operators is …

This https://arxiv.org/abs/2412.19965 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Caputo fractional stochastic differential equations: Lipschitz continuity in the fractional order
In this paper, we consider a class of the Caputo fractional stochastic differential equations of fractional order $α\in (\frac{1}{2},1]$. Our aim is to analyze of the continuous dependence of solutions on the fractional order $α.$ We first provide explicit estimates for the rate of weak convergence the solutions. We then describe the exact asymptotic behavior of this convergence to show that the rate is optimal.

This https://arxiv.org/abs/2505.12311 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Scene-Adaptive Motion Planning with Explicit Mixture of Experts and Interaction-Oriented Optimization
Despite over a decade of development, autonomous driving trajectory planning in complex urban environments continues to encounter significant challenges. These challenges include the difficulty in accommodating the multi-modal nature of trajectories, the limitations of single expert in managing diverse scenarios, and insufficient consideration of environmental interactions. To address these issues, this paper introduces the EMoE-Planner, which incorporates three innovative approaches. Firstly, …

This https://arxiv.org/abs/2406.17408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Higher Gaussian maps on the hyperelliptic locus and second fundamental form
In this paper we study higher even Gaussian maps of the canonical bundle on hyperelliptic curves and we determine their rank, giving explicit descriptions of their kernels. Then we use this descriptions to investigate the hyperelliptic Torelli map $j_h$ and its second fundamental form. We study isotropic subspaces of the tangent space $T_{{\mathcal H}_g, [C]}$ to the moduli space ${\mathcal H}_g$ of hyperelliptic curves of genus $g$ at a point $[C]$, with respect to the second fundamental form …

This https://arxiv.org/abs/2505.17549 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIR_…

EGA: A Unified End-to-End Generative Framework for Industrial Advertising Systems
Online industrial advertising system is fundamentally constrained by the inefficiency of multi-stage cascaded architectures, which filter out high-potential candidates early and fragment business decision logic across independent modules. Although recent advances in generative recommendation offer end-to-end solutions, they fall short of practical advertising requirements, lacking explicit modeling of bidding, creative selection, allocation mechanism, and payment computation that are essential …

Fast numerical generation of Lie closure
Yutaro Iiyama
https://arxiv.org/abs/2506.01120 https://arxiv.org/pdf/2506.01120

Fast numerical generation of Lie closure
Finding the Lie-algebraic closure of a handful of matrices has important applications in quantum computing and quantum control. For most realistic cases, the closure cannot be determined analytically, necessitating an explicit numerical construction. The standard construction algorithm makes repeated calls to a subroutine that determines whether a matrix is linearly independent from a potentially large set of matrices. Because the common implementation of this subroutine has a high complexity, …

This https://arxiv.org/abs/2503.20170 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Decomposing a factorial into large factors
Let $t(N)$ denote the largest number such that $N!$ can be expressed as the product of $N$ integers greater than or equal to $t(N)$. The bound $t(N)/N = 1/e-o(1)$ was apparently established in unpublished work of Erdős, Selfridge, and Straus; but the proof is lost. Here we obtain the more precise asymptotic $$ \frac{t(N)}{N} = \frac{1}{e} - \frac{c_0}{\log N} + O\left( \frac{1}{\log^{1+c} N} \right)$$ for an explicit constant $c_0 = 0.30441901\dots$ and some absolute constant $c>0$, answering …

This https://arxiv.org/abs/2408.08129 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Efficient and scalable atmospheric dynamics simulations using non-conforming meshes
We present the massively parallel performance of a $h$-adaptive solver for atmosphere dynamics that allows for non-conforming mesh refinement. The numerical method is based on a Discontinuous Galerkin (DG) spatial discretization, highly scalable thanks to its data locality properties, and on a second order Implicit-Explicit Runge-Kutta (IMEX-RK) method for time discretization, particularly well suited for low Mach number flows. Simulations with non-conforming meshes for flows over orography can…

This https://arxiv.org/abs/2411.18961 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Fefferman metric for twistor CR manifolds and conformal geodesics in dimension three
We give an explicit description of the Fefferman metric for twistor CR manifolds in terms of Riemannian structures on the base conformal $3$-manifolds. As an application, we prove that chains and null chains on twistor CR manifolds project to conformal geodesics, and that any conformal geodesic has lifts both to a chain and a null chain. By using this correspondence, we give a variational characterization of conformal geodesics in dimension three which involves the total torsion functional.

This https://arxiv.org/abs/2502.19617 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Image-Based Roadmaps for Vision-Only Planning and Control of Robotic Manipulators
This work presents a motion planning framework for robotic manipulators that computes collision-free paths directly in image space. The generated paths can then be tracked using vision-based control, eliminating the need for an explicit robot model or proprioceptive sensing. At the core of our approach is the construction of a roadmap entirely in image space. To achieve this, we explicitly define sampling, nearest-neighbor selection, and collision checking based on visual features rather than g…

This https://arxiv.org/abs/2505.21186 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rank three representations of Painlevé systems: I. Wild character varieties
We give explicit cubic equations for the wild character varieties corresponding to the rank 3 representations of Painlevé equations, and compare them to the ones of their classical rank 2 representations.

This https://arxiv.org/abs/2312.11204 has been replaced.
link: https://scholar.google.com/scholar?q=a

Hasse principle violation for algebraic families of del Pezzo surfaces of degree 4 and hyperelliptic curves of genus congruent to 1 modulo 4
Let g be a positive integer congruent to 1 modulo 4 and K be an arbitrary number field. We construct infinitely many explicit one-parameter algebraic families of degree 4 del Pezzo surfaces and of genus g hyperelliptic curves such that each K-member of the families violates the Hasse principle. In particular, we obtain algebraic families of non-trivial 2-torsion elements in the Tate-Shafarevich group of elliptic curves over K. These Hasse principle violations are explained by the Brauer-Manin o…

Finsler and sub-Finsler geodesics with chattering
L. V. Lokutsievskiy, M. I. Zelikin
https://arxiv.org/abs/2505.24474 https://arxiv.o…

Finsler and sub-Finsler geodesics with chattering
In this paper, we provide examples of Finsler and sub-Finsler manifolds whose geodesics exhibit chattering, that is, a countable number of switches over an arbitrarily small time interval. We also present an explicit left-invariant structure on a Carnot group whose geodesics exhibit chattering. This provides a negative answer to Le Donne's question. Furthermore, the paper presents a sufficient condition for normal Pontryagin maximum principle extremals in (sub-)Finsler problems to exhibit chatt…

This https://arxiv.org/abs/2407.07589 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

MSC-LIO: An MSCKF-Based LiDAR-Inertial Odometry with Same-Plane Cluster Tracking
The multi-state constraint Kalman filter (MSCKF) has been proven to be more efficient than graph optimization for visual-based odometry while with similar accuracy. However, it has not been adequately considered and studied for LiDAR-based odometry. In this paper, we propose a novel tightly-coupled LiDAR-inertial odometry based on the MSCKF framework, named MSC-LIO. An efficient LiDAR same-plane cluster (LSPC) tracking method, without explicit feature extraction, is present for frame-to-frame d…

This https://arxiv.org/abs/2504.18903 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Numerical analysis of an H(div)-conforming divergence-free DG method with a second-order explicit Runge-Kutta scheme for incompressible flows
Recently, H(div)-conforming DG type methods coupled with Runge-Kutta (RK) time stepping have been widely employed for simulating high Reynolds number flows, with the convective terms treated explicitly. Although the analysis techniques of RKDG methods were well developed, the extension to incompressible flows is highly nontrivial due to the exactly divergence-free constraint, where the key lies in analyzing the convective terms. We neglect viscosity effects, and conduct an error analysis for an…

The bad and rough rotation is Poissonian
Manuel Hauke
https://arxiv.org/abs/2506.01736 https://arxiv.org/pdf/2506.01736

The bad and rough rotation is Poissonian
Motivated by the Berry-Tabor Conjecture and the seminal work of Rudnick-Sarnak, the fine-scale properties of sequences $(a_nα)_{n \in \mathbb{N}} \mod 1$ with $(a_n)_{n \in \mathbb{N}} \subseteq \mathbb{N} $ and $α$ irrational have been extensively studied in the last decades. In this article, we prove that for $(a_n)_{n \in \mathbb{N}}$ arising from the set of rough numbers with explicit roughness parameters and any badly approximable $α$, $(a_nα)_{n \in \mathbb{N}} \mod 1$ has Poissonian …

This https://arxiv.org/abs/2409.07408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hilbert schemes for crepant partial resolutions
For $n\geq 1$, we construct the Hilbert scheme of $n$ points on any crepant partial resolution of a Kleinian singularity as a Nakajima quiver variety for an explicit GIT stability parameter. This generalises and unifies existing quiver variety constructions of the Hilbert scheme of points on the minimal resolution of a Kleinian singularity, and on the Kleinian singularity itself.

This https://arxiv.org/abs/2407.08881 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Newspaces with Nebentypus: An Explicit Dimension Formula and Classification of Trivial Newspaces
Consider $N \geq 1$, $k \geq 2$, and $χ$ a Dirichlet character modulo $N$ such that $χ(-1) = (-1)^k$. For any bound $B$, one can show that $\dim S_k(Γ_0(N),χ) \le B$ for only finitely many triples $(N,k,χ)$. It turns out that this property does not extend to the newspace; there exists an infinite family of triples $(N,k,χ)$ for which $\dim S_k^{\text{new}}(Γ_0(N),χ) = 0$. However, we classify this case entirely. We also show that excluding the infinite family for which $\dim S_k^{\text{…