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Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved…

Machine Learning · Computer Science 2021-04-27 Mengxue Zhang , Zichao Wang , Richard Baraniuk , Andrew Lan

For polynomials of degree two which have no zeros, the method of accompanying variables is developed and zeros of associated vector polynomials are determined. Our flexible method uses a wide variety of possible vector-valued vector…

General Mathematics · Mathematics 2025-06-26 Wolf-Dieter Richter

Visual question answering (VQA) models respond to open-ended natural language questions about images. While VQA is an increasingly popular area of research, it is unclear to what extent current VQA architectures learn key semantic…

Computer Vision and Pattern Recognition · Computer Science 2018-07-25 Gabriel Grand , Aron Szanto , Yoon Kim , Alexander Rush

The motivation of this work is two-fold - a) to compare between two different modes of visualizing data that exists in a bag of vectors format b) to propose a theoretical model that supports a new mode of visualizing data. Visualizing high…

Information Retrieval · Computer Science 2013-10-15 Sriramkumar Balasubramanian , Raghuram Reddy Nagireddy

In this work we propose a system for visual question answering. Our architecture is composed of two parts, the first part creates the logical knowledge base given the image. The second part evaluates questions against the knowledge base.…

Artificial Intelligence · Computer Science 2017-11-29 Guglielmo Montone , J. Kevin O'Regan , Alexander V. Terekhov

3D vector graphics play a crucial role in various applications including 3D shape retrieval, conceptual design, and virtual reality interactions due to their ability to capture essential structural information with minimal representation.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Chuang Wang , Haitao Zhou , Ling Luo , Qian Yu

Vector embeddings have been successfully applied in several domains to obtain effective representations of non-numeric data which can then be used in various downstream tasks. We present a novel application of vector embeddings in…

Machine Learning · Computer Science 2024-03-19 Ethan Baron , Bram Janssens , Matthias Bogaert

Manually grading D3 data visualizations is a challenging endeavor, and is especially difficult for large classes with hundreds of students. Grading an interactive visualization requires a combination of interactive, quantitative, and…

Image feature matching is a fundamental part of many geometric computer vision applications, and using multiple images can improve performance. In this work, we formulate multi-image matching as a graph embedding problem then use a Graph…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Stephen Phillips , Kostas Daniilidis

Many scientific problems require to process data in the form of geometric graphs. Unlike generic graph data, geometric graphs exhibit symmetries of translations, rotations, and/or reflections. Researchers have leveraged such inductive bias…

Machine Learning · Computer Science 2022-02-23 Jiaqi Han , Yu Rong , Tingyang Xu , Wenbing Huang

Visual Question Answering (VQA) attracts much attention from both industry and academia. As a multi-modality task, it is challenging since it requires not only visual and textual understanding, but also the ability to align cross-modality…

Computer Vision and Pattern Recognition · Computer Science 2022-01-27 Peixi Xiong , Quanzeng You , Pei Yu , Zicheng Liu , Ying Wu

The graph isomorphism (GI) problem, which asks whether two graphs are structurally identical, occupies a unique position in computational complexity -- it is neither known to be solvable in polynomial time, nor proven to be NP-complete. We…

Optimization and Control · Mathematics 2026-05-21 Wenjie Xiao , Mathieu Besançon , Patrick Gelß , Deborah Hendrych , Stefan Klus , Sebastian Pokutta

High-dimensional multiplex graphs are characterized by their high number of complementary and divergent dimensions. The existence of multiple hierarchical latent relations between the graph dimensions poses significant challenges to…

Machine Learning · Computer Science 2025-01-30 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similarity in both the combinatorial and geometric structures of two…

Computational Geometry · Computer Science 2022-09-27 Sushovan Majhi , Carola Wenk

3D data is a valuable asset the computer vision filed as it provides rich information about the full geometry of sensed objects and scenes. Recently, with the availability of both large 3D datasets and computational power, it is today…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Eman Ahmed , Alexandre Saint , Abd El Rahman Shabayek , Kseniya Cherenkova , Rig Das , Gleb Gusev , Djamila Aouada , Bjorn Ottersten

We study the visual complexity of animated transitions between point sets. Although there exist many metrics for point set similarity, these metrics are not adequate for this purpose, as they typically treat each point separately. Instead,…

Computational Geometry · Computer Science 2025-02-18 Wouter Meulemans , Arjen Simons , Kevin Verbeek

Template matching is a basic method in image analysis to extract useful information from images. In this paper, we suggest a new method for pattern matching. Our method transform the template image from two dimensional image into one…

Computer Vision and Pattern Recognition · Computer Science 2014-09-11 Y. M. Fouda

Graphs representation learning has been a very active research area in recent years. The goal of graph representation learning is to generate graph representation vectors that capture the structure and features of large graphs accurately.…

Machine Learning · Computer Science 2022-06-16 Shima Khoshraftar , Aijun An

We study contact representations for graphs, which we call pixel representations in 2D and voxel representations in 3D. Our representations are based on the unit square grid whose cells we call pixels in 2D and voxels in 3D. Two pixels are…

Discrete Mathematics · Computer Science 2015-07-07 Muhammad Jawaherul Alam , Thomas Bläsius , Ignaz Rutter , Torsten Ueckerdt , Alexander Wolff

Constructing latent vector representation for nodes in a network through embedding models has shown its practicality in many graph analysis applications, such as node classification, clustering, and link prediction. However, despite the…

Human-Computer Interaction · Computer Science 2018-08-29 Quan Li , Kristanto Sean Njotoprawiro , Hammad Haleem , Qiaoan Chen , Chris Yi , Xiaojuan Ma
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