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We present Gridap, a new scientific software library for the numerical approximation of partial differential equations (PDEs) using grid-based approximations. Gridap is an open-source software project exclusively written in the Julia…

Mathematical Software · Computer Science 2020-04-23 Francesc Verdugo , Santiago Badia

Recently, CLIP has been applied to pixel-level zero-shot learning tasks via a two-stage scheme. The general idea is to first generate class-agnostic region proposals and then feed the cropped proposal regions to CLIP to utilize its…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Ziqin Zhou , Bowen Zhang , Yinjie Lei , Lingqiao Liu , Yifan Liu

Visual anomaly classification and segmentation are vital for automating industrial quality inspection. The focus of prior research in the field has been on training custom models for each quality inspection task, which requires…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jongheon Jeong , Yang Zou , Taewan Kim , Dongqing Zhang , Avinash Ravichandran , Onkar Dabeer

In multimodal learning, CLIP has been recognized as the \textit{de facto} method for learning a shared latent space across multiple modalities, placing similar representations close to each other and moving them away from dissimilar ones.…

Machine Learning · Computer Science 2026-01-27 Eleonora Grassucci , Giordano Cicchetti , Emanuele Frasca , Aurelio Uncini , Danilo Comminiello

The Visual Language Model, known for its robust cross-modal capabilities, has been extensively applied in various computer vision tasks. In this paper, we explore the use of CLIP (Contrastive Language-Image Pretraining), a vision-language…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Huazhong Zhao , Lei Qi , Xin Geng

Recently Gigli developed a Sobolev calculus on non-smooth spaces using module theory. In this paper it is shown that his theory fits nicely into the theory of differentiability spaces initiated by Cheeger, Keith and others. A relaxation…

Metric Geometry · Mathematics 2015-12-03 Martin Kell

Linear spinor fields are a generalization of the Dirac field that have transparent cluster decomposability properties needed for classical correspondence of relativistic quantum systems. The algebra of these fields directly incorporate…

High Energy Physics - Theory · Physics 2013-12-03 James Lindesay

Let $G$ be a Lie group, with an invariant non-degenerate symmetric bilinear form on its Lie algebra, let $\pi$ be the fundamental group of an orientable (real) surface $M$ with a finite number of punctures, and let $\bold C$ be a family of…

dg-ga · Mathematics 2008-02-03 K. Guruprasad , J. Huebschmann , L. Jeffrey , A. Weinstein

Plane-based Geometric Algebra (PGA) has revealed points in a $d$-dimensional pseudo-Euclidean space $\mathbb{R}_{p,q,1}$ to be represented by $d$-blades rather than vectors. This discovery allows points to be factored into $d$ orthogonal…

Mathematical Physics · Physics 2024-01-03 Martin Roelfs , David Eelbode , Steven De Keninck

We present the development of pyLLE, a freely accessible and cross-platform Lugiato-Lefever equation solver programmed in Python and Julia and optimized for the simulation of microresonator frequency combs. Examples illustrating its…

Mathematical Software · Computer Science 2019-05-31 Gregory Moille , Qing Li , Xiyuan Lu , Kartik Srinivasan

We investigate rearrangements of a single hairy particle at a liquid-liquid interface using coarse-grained molecular dynamics simulations. We consider the particles with the same (symmetrical interactions) and different (asymmetrical…

Soft Condensed Matter · Physics 2024-03-25 T. Staszewski , M. Borówko

Integer Linear Programming (ILP) has a broad range of applications in various areas of artificial intelligence. Yet in spite of recent advances, we still lack a thorough understanding of which structural restrictions make ILP tractable.…

Discrete Mathematics · Computer Science 2020-03-17 Pavel Dvořák , Eduard Eiben , Robert Ganian , Dušan Knop , Sebastian Ordyniak

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

Mathematical Physics · Physics 2011-10-11 E. M. Ovsiyuk , O. V. Veko

Numerical modeling of fermionic many-body quantum systems presents similar challenges across various research domains, necessitating universal tools, including state-of-the-art machine learning techniques. Here, we introduce SOLAX, a Python…

Computational Physics · Physics 2025-02-26 Louis Thirion , Philipp Hansmann , Pavlo Bilous

Crystalline interfaces are of highly importance in many practical applications. To conduct effective simulation and analysis for coincident site lattice (CSL) interfaces, effective programmes are of high demand in building their CSL…

Materials Science · Physics 2022-11-29 Yaoshu Xie , Kiyou Shibata , Teruyasu Mizoguchi

Open-vocabulary segmentation is a challenging task requiring segmenting and recognizing objects from an open set of categories. One way to address this challenge is to leverage multi-modal models, such as CLIP, to provide image and text…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Qihang Yu , Ju He , Xueqing Deng , Xiaohui Shen , Liang-Chieh Chen

A sliding-window inference strategy is commonly adopted in recent training-free open-vocabulary semantic segmentation methods to overcome limitation of the CLIP in processing high-resolution images. However, this approach introduces a new…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 ByeongCheol Lee , Hyun Seok Seong , Sangeek Hyun , Gilhan Park , WonJun Moon , Jae-Pil Heo

In "Part I: Vector Analysis of Spinors", the author studied the geometry of two component spinors as points on the Riemann sphere in the geometric algebra of three dimensional Euclidean space. Here, these ideas are generalized to apply to…

Mathematical Physics · Physics 2015-07-24 Garret Sobczyk

The Core Imaging Library (CIL) is an open-source versatile Python framework for solving inverse problems with special emphasis on imaging applications such as computed tomography (CT), using a plug-in architecture for data and operators,…

In terms of the gauged nonlinear $\sigma$-models, we describe some results and implications of solving the following problem: Given a smooth symplectic manifold as target space with a quasi-free Hamiltonian group action, perform the…

High Energy Physics - Theory · Physics 2010-04-06 H. B. Gao , H. Römer