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The article examines the growth rate of algebraic points on a smooth projective curve \( X \) over a number field \( k \). Specifically, it focuses on points of bounded degree \(\nu\) that are preimages of \(\mathbb{P}^1\) through a morphism \( f: X \to \mathbb{P}^1 \) realizing the gonality of \( X \). The study consi... | AI recap Arxiv | 211,620 |
The paper addresses shortcomings in the evaluation protocols of the GEOM-Drugs dataset used for 3D molecular structure generation. It identifies issues like incorrect valency definitions, bond order calculation errors, and inconsistent force fields. The authors propose an improved evaluation framework, including correc... | AI recap Arxiv | 211,621 |
MolMole is a deep learning framework designed to automate the extraction of molecular structures and reaction data from scientific documents. It integrates molecule detection, reaction diagram parsing, and optical chemical structure recognition (OCSR) into a single process, overcoming challenges posed by unstructured c... | AI recap Arxiv | 211,622 |
The paper utilizes graphon theory to examine opinion dynamics on large networks with negative interactions, where opinions can diverge. It studies repelling and opposing models on signed graphons, proving the existence and uniqueness of solutions. The research shows that graphon dynamics effectively approximate dynamic... | AI recap Arxiv | 211,623 |
The manuscript presents global weighted Orlicz-Sobolev and variable exponent Morrey-Sobolev estimates for viscosity solutions of fully nonlinear parabolic PDEs with oblique boundary conditions. It deals with equations within a bounded domain in \(\mathbb{R}^n\), \(n \geq 2\), under asymptotic conditions and appropriate... | AI recap Arxiv | 211,624 |
The paper studies Euler-Poincaré equations derived from self-semidirect product group structures using numerical methods. It employs a continuous Galerkin finite element method to explore geodesic equations related to the semidirect product of the diffeomorphism group on a circle. This approach reveals emergent peakon ... | AI recap Arxiv | 211,625 |
The text discusses a structured design space for validating tabular data generated by Large Language Models (LLMs), which is crucial for applications in various fields. It proposes a two-dimensional approach: Analysis Granularity and Data Source. This framework categorizes validation strategies, facilitates comparison,... | AI recap Arxiv | 211,626 |
The text discusses the critical role of interstellar dust in the Universe, highlighting its influence on radiation extinction and thermal IR emission, as well as its involvement in hosting chemical processes with complex molecules. Despite its significance, the granular, asymmetric, and stratified structure of dust gra... | AI recap Arxiv | 211,627 |
The study introduces the Channel-Spatial Attention Synergy Network (CSASN), a multitask attention-based framework for classifying heterogeneous thyroid carcinomas in ultrasound images. It integrates EfficientNet and ViT for feature extraction with a channel-spatial attention module, aiming to improve classification of ... | AI recap Arxiv | 211,628 |
The text discusses the properties of Van Douwen families, focusing on their spectrum being closed under singular limits. It references Raghavan's work defining an ideal linked to how far a family is from being Van Douwen. Under the Continuum Hypothesis (CH), it shows that every ideal containing Fin can be realized by a... | AI recap Arxiv | 211,629 |
The study explores differentially private stochastic bandit problems by connecting Thompson Sampling with Gaussian mechanisms and Gaussian differential privacy (GDP). A new algorithm, DP-TS-UCB, is introduced to balance privacy and regret, achieving a specific GDP and regret bound. The trade-off is controlled by a para... | AI recap Arxiv | 211,630 |
The article explores the topological properties of complex manifolds using Dolbeault-Morse-Novikov cohomology. It establishes that if a closed complex manifold has a nonzero parallel or a nowhere vanishing (0,1)-form, the Dolbeault-Morse-Novikov cohomology is trivial, leading to a vanishing Hirzebruch χ_y-genus. A vani... | AI recap Arxiv | 211,631 |
The paper introduces a novel end-to-end logits perturbation method for watermarking text generated by large language models (LLMs). Unlike existing methods with high false positives and performance drops when texts are modified, this approach optimizes the encoder and decoder jointly, enhancing robustness and maintaini... | AI recap Arxiv | 211,632 |
The study examines the generalizability of choice consistency measures from both supermarket scanner data and lab-in-the-field experimental budgetary decisions. It finds a lack of correlation between consistency scores from supermarket purchases and risky decisions in the experiments. However, there are moderate correl... | AI recap Arxiv | 211,633 |
FedTDP is a framework designed for effective Trajectory Data Preparation (TDP) by addressing privacy and model generalizability issues in federated learning settings. It uses a trajectory privacy autoencoder to secure data, a trajectory knowledge enhancer for improving TDP knowledge learning, and federated parallel opt... | AI recap Arxiv | 211,634 |
The text discusses optimizing algorithm selection in short-range molecular dynamics simulations. The particle simulation library AutoPas has been developed to dynamically select and tune algorithms, but previous strategies were inefficient due to trialing poorly performing options. The study introduces three new strate... | AI recap Arxiv | 211,635 |
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