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AI has made significant progress in solving math problems, but geometry problems remain challenging due to their reliance on both text and diagrams. In the text description, symbolic characters such as "$\triangle$ABC" often serve as a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Maizhen Ning , Qiu-Feng Wang , Kaizhu Huang , Xiaowei Huang

Image Retrieval is a fundamental task of obtaining images similar to the query one from a database. A common image retrieval practice is to firstly retrieve candidate images via similarity search using global image features and then re-rank…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Min Yang , Dongliang He , Miao Fan , Baorong Shi , Xuetong Xue , Fu Li , Errui Ding , Jizhou Huang

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Conditional image generation methods are increasingly used in human-centric applications, yet existing human amodal completion (HAC) models offer users limited control over the completed content. Given an occluded person image, they…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Seung Young Noh , Ju Yong Chang

Despite the abundance of multi-modal data, such as image-text pairs, there has been little effort in understanding the individual entities and their different roles in the construction of these data instances. In this work, we endeavour to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-05 Hai X. Pham , Ricardo Guerrero , Jiatong Li , Vladimir Pavlovic

A fractal is in essence a hierarchy with cascade structure, which can be described with a set of exponential functions. From these exponential functions, a set of power laws indicative of scaling can be derived. Hierarchy structure and…

Physics and Society · Physics 2017-07-13 Yanguang Chen

In this paper we propose a segmentation-free query by string word spotting method. Both the documents and query strings are encoded using a recently proposed word representa- tion that projects images and strings into a common atribute…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Suman K. Ghosh , Ernest Valveny

We introduce a multi-scale framework for low-level vision, where the goal is estimating physical scene values from image data---such as depth from stereo image pairs. The framework uses a dense, overlapping set of image regions at multiple…

Computer Vision and Pattern Recognition · Computer Science 2015-04-15 Ayan Chakrabarti , Ying Xiong , Steven J. Gortler , Todd Zickler

We propose a hierarchical abstract domain for the analysis of free-list memory allocators that tracks shape and numerical properties about both the heap and the free lists. Our domain is based on Separation Logic extended with predicates…

Programming Languages · Computer Science 2016-08-22 Bin Fang , Mihaela Sighireanu

Persistent homology (PH) is a powerful mathematical method to automatically extract relevant insights from images, such as those obtained by high-resolution imaging devices like electron microscopes or new-generation telescopes. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-15 Riccardo Ceccaroni , Lorenzo Di Rocco , Umberto Ferraro Petrillo , Pierpaolo Brutti

The local histogram transform of an image is a data cube that consists of the histograms of the pixel values that lie within a fixed neighborhood of any given pixel location. Such transforms are useful in image processing applications such…

Functional Analysis · Mathematics 2011-05-23 Melody L. Massar , Ramamurthy Bhagavatula , Matthew Fickus , Jelena Kovacevic

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

We propose a structured approach to the problem of retrieval of images by content and present a description logic that has been devised for the semantic indexing and retrieval of images containing complex objects. As other approaches do, we…

Artificial Intelligence · Computer Science 2011-09-08 E. Di Sciascio , F. M. Donini , M. Mongiello

This paper proposes a simple yet effective method to learn the hierarchical object shape model consisting of local contour fragments, which represents a category of shapes in the form of an And-Or tree. This model extends the traditional…

Computer Vision and Pattern Recognition · Computer Science 2015-02-04 Liang Lin , Xiaolong Wang , Wei Yang , Jianhuang Lai

Image segmentation is the process of partitioning an image into a set of meaningful regions according to some criteria. Hierarchical segmentation has emerged as a major trend in this regard as it favors the emergence of important regions at…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Amin Fehri , Santiago Velasco-Forero , Fernand Meyer

Recently, many methods have been proposed for object detection. They cannot detect objects by semantic features, adaptively. In this work, according to channel and spatial attention mechanisms, we mainly analyze that different methods…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Qian Li , Nan Guo , Xiaochun Ye , Dongrui Fan , Zhimin Tang

Position encoding is the primary mechanism which induces notion of sequential order for input tokens in transformer architectures. Even though this formulation in the original transformer paper has yielded plausible performance for general…

Computation and Language · Computer Science 2023-10-10 Eren Unlu

We introduce a method that takes advantage of high-quality pretrained multimodal representations to explore fine-grained semantic networks in the human brain. Previous studies have documented evidence of functional localization in the…

Artificial Intelligence · Computer Science 2023-06-07 Cory Efird , Alex Murphy , Joel Zylberberg , Alona Fyshe

In this paper, we will study the following pattern recognition problem: Every pattern is a 3-dimensional graph, its surface can be split up into some regions, every region is composed of the pixels with the approximately same colour value…

Neurons and Cognition · Quantitative Biology 2017-03-07 YongHong Chen

Recent advances in deep learning have transformed many fields by introducing generic embedding spaces, capable of achieving great predictive performance with minimal labeling effort. The geology field has not yet met such success. In this…

Machine Learning · Computer Science 2021-08-23 Jonathan Kavitzky , Jonathan Zarecki , Idan Brusilovsky , Uriel Singer
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