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In this article we construct affine systems that provide a simultaneous atomic decomposition for a wide class of functional spaces including the Lebesgue spaces $L^p(\Rdst)$, $1<p<+\infty$. The novelty and difficulty of this construction is…

Functional Analysis · Mathematics 2015-04-27 Carlos Cabrelli , Ursula Molter , José Luis Romero

Existing semantic segmentation approaches are often limited by costly pixel-wise annotations and predefined classes. In this work, we present CLIP-S$^4$ that leverages self-supervised pixel representation learning and vision-language models…

Computer Vision and Pattern Recognition · Computer Science 2023-05-03 Wenbin He , Suphanut Jamonnak , Liang Gou , Liu Ren

Operator-splitting methods are widespread in the numerical solution of differential equations, especially the initial-value problems in ordinary differential equations that arise from a method-of-lines discretization of partial differential…

Numerical Analysis · Mathematics 2024-07-09 Victoria Guenter , Siqi Wei , Raymond J. Spiteri

We present a novel relaxation framework for general mixed-integer nonlinear programming (MINLP) grounded in computational geometry. Our approach constructs polyhedral relaxations by convexifying finite sets of strategically chosen points,…

Optimization and Control · Mathematics 2026-03-20 Haisheng Zhu , Taotao He , Mohit Tawarmalani

Phase shifts and resonance parameters can be obtained from finite-volume lattice spectra for interacting pairs of particles, moving with nonzero total momentum. We present a simple derivation of the method that is subsequently applied to…

High Energy Physics - Lattice · Physics 2012-11-07 M. Döring , U. -G. Meißner , E. Oset , A. Rusetsky

Aboria is a powerful and flexible C++ library for the implementation of particle-based numerical methods. The particles in such methods can represent actual particles (e.g. Molecular Dynamics) or abstract particles used to discretise a…

Mathematical Software · Computer Science 2017-10-13 Martin Robinson , Maria Bruna

The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor…

Quantum Physics · Physics 2011-09-15 V. M. Red'kov , E. M. Ovsiyuk , O. V. Veko

The Python package pylimer-tools is a comprehensive toolkit for computational studies of polymer networks, particularly bead-spring networks. The package provides functionality to generate polymer networks using Monte Carlo (MC) procedures…

Soft Condensed Matter · Physics 2025-08-18 Tim Bernhard , Fabian Schwarz , Andrei A. Gusev

This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. The library provides robust and modular tools to support…

Numerical Analysis · Mathematics 2025-05-21 Stefano Berrone , Andrea Borio , Gioana Teora , Fabio Vicini

Contrastive Language-Image Pre-training (CLIP) has made a remarkable breakthrough in open-vocabulary zero-shot image recognition. Many recent studies leverage the pre-trained CLIP models for image-level classification and manipulation. In…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Chong Zhou , Chen Change Loy , Bo Dai

This paper proposes a new notion of smoothness of algebras, termed differential smoothness, that combines the existence of a top form in a differential calculus over an algebra together with a strong version of the Poincar\'e duality…

Quantum Algebra · Mathematics 2015-05-07 Tomasz Brzeziński , Andrzej Sitarz

Space is a circuit oriented, spatial programming language designed to exploit the massive parallelism available in a novel formal model of computation called the Synchronic A-Ram, and physically related FPGA and reconfigurable…

Computation and Language · Computer Science 2010-08-31 Alex V Berka

Large-scale vision-language models like CLIP have demonstrated impressive open-vocabulary capabilities for image-level tasks, excelling in recognizing what objects are present. However, they struggle with pixel-level recognition tasks like…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Heeseong Shin , Chaehyun Kim , Sunghwan Hong , Seokju Cho , Anurag Arnab , Paul Hongsuck Seo , Seungryong Kim

While Contrastive Language-Image Pre-training (CLIP) has advanced open-vocabulary predictions, its performance on semantic segmentation remains suboptimal. This shortfall primarily stems from its spatial-invariant semantic features and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yuheng Shi , Minjing Dong , Chang Xu

The recognition capabilities of current state-of-the-art 3D models are limited by datasets with a small number of annotated data and a pre-defined set of categories. In its 2D counterpart, recent advances have shown that similar problems…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Le Xue , Mingfei Gao , Chen Xing , Roberto Martín-Martín , Jiajun Wu , Caiming Xiong , Ran Xu , Juan Carlos Niebles , Silvio Savarese

Python is a particularly appealing language to carry out data analysis, owing in part to its user-friendly character as well as its access to well maintained and powerful libraries like NumPy and SciPy. Still, for the purpose of analyzing…

High Energy Physics - Lattice · Physics 2024-02-01 Luis Altenkort , David Anthony Clarke , Jishnu Goswami , Hauke Sandmeyer

Multivariate piecewise polynomial functions (or splines) on polyhedral complexes have been extensively studied over the past decades and find applications in diverse areas of applied mathematics including numerical analysis, approximation…

Commutative Algebra · Mathematics 2021-07-15 Deepesh Toshniwal , Nelly Villamizar

Accurate and consistent construction of point clouds from LiDAR scanning data is fundamental for 3D modeling applications. Current solutions, such as multiview point cloud registration and LiDAR bundle adjustment, predominantly depend on…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Jianping Li , Thien-Minh Nguyen , Shenghai Yuan , Lihua Xie

We present an open-source simulation framework for optically detected magnetic resonance, developed in Python. The framework allows users to construct, manipulate, and evolve multipartite quantum systems that consist of spins and electronic…

Quantum Physics · Physics 2025-01-13 Laura A. Völker , John M. Abendroth , Christian L. Degen , Konstantin Herb

Point cloud completion aims to recover partial geometric and topological shapes caused by equipment defects or limited viewpoints. Current methods either solely rely on the 3D coordinates of the point cloud to complete it or incorporate…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Feng Zhou , Qi Zhang , Ju Dai , Lei Li , Qing Fan , Junliang Xing