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The purpose of the present paper is threefold. First: giving a treatise on weighted projective spaces by the toric point of view. Second: providing characterizations of fans and polytopes giving weighted projective spaces, with particular…

Algebraic Geometry · Mathematics 2016-10-17 Michele Rossi , Lea Terracini

This paper proposes a new method, that we call VisualBackProp, for visualizing which sets of pixels of the input image contribute most to the predictions made by the convolutional neural network (CNN). The method heavily hinges on exploring…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Mariusz Bojarski , Anna Choromanska , Krzysztof Choromanski , Bernhard Firner , Larry Jackel , Urs Muller , Karol Zieba

Over the last decade, Convolutional Neural Networks (CNN) saw a tremendous surge in performance. However, understanding what a network has learned still proves to be a challenging task. To remedy this unsatisfactory situation, a number of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Felix Grün , Christian Rupprecht , Nassir Navab , Federico Tombari

Event-based vision is an emerging research field involving processing data generated by Dynamic Vision Sensors (neuromorphic cameras). One of the latest proposals in this area are Graph Convolutional Networks (GCNs), which allow to process…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Kamil Jeziorek , Piotr Wzorek , Krzysztof Blachut , Andrea Pinna , Tomasz Kryjak

Graphic design is essential for visual communication with layouts being fundamental to composing attractive designs. Layout generation differs from pixel-level image synthesis and is unique in terms of the requirement of mutual relations…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Hsin-Ying Lee , Lu Jiang , Irfan Essa , Phuong B Le , Haifeng Gong , Ming-Hsuan Yang , Weilong Yang

Graph Neural Networks (GNNs) have achieved significant success across various applications. However, their complex structures and inner workings can be challenging for non-AI experts to understand. To address this issue, this study presents…

Human-Computer Interaction · Computer Science 2025-12-18 Yilin Lu , Chongwei Chen , Yuxin Chen , Kexin Huang , Marinka Zitnik , Qianwen Wang

We address the key question of how object part representations can be found from the internal states of CNNs that are trained for high-level tasks, such as object classification. This work provides a new unsupervised method to learn…

Machine Learning · Computer Science 2016-11-15 Jianyu Wang , Zhishuai Zhang , Cihang Xie , Vittal Premachandran , Alan Yuille

We propose a new approach, named PolyMapper, to circumvent the conventional pixel-wise segmentation of (aerial) images and predict objects in a vector representation directly. PolyMapper directly extracts the topological map of a city from…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Zuoyue Li , Jan Dirk Wegner , Aurélien Lucchi

There are a variety of graphs where multidimensional feature values are assigned to the nodes. Visualization of such datasets is not an easy task since they are complex and often huge. Immersive Analytics is a powerful approach to support…

Human-Computer Interaction · Computer Science 2020-08-25 Hinako Sassa , Maxime Cordeil , Mitsuo Yoshida , Takayuki Itoh

Unfamiliar or esoteric visual forms arise in many areas of visualization. While such forms can be intriguing, it can be unclear how to make effective use of them without long periods of practice or costly user studies. In this work we…

Human-Computer Interaction · Computer Science 2021-04-12 Andrew McNutt

In this paper, we propose a novel 3D graph convolution based pipeline for category-level 6D pose and size estimation from monocular RGB-D images. The proposed method leverages an efficient 3D data augmentation and a novel vector-based…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Wei Chen , Xi Jia , Zhongqun Zhang , Hyung Jin Chang , Linlin Shen , Jinming Duan , Ales Leonardis

We provide a pipeline for calculating, managing and visualising correlations and other pairwise association scores for numerical and categorical data. We present a uniform interface for calculating a plethora of pairwise scores and propose…

Computation · Statistics 2025-11-17 Amit Chinwan , Catherine B. Hurley

We present a novel end-to-end framework that generates highly compact (typically 6-15 dimensions), discrete (int4 type), and interpretable node representations, termed node identifiers (node IDs), to tackle inference challenges on…

Machine Learning · Computer Science 2024-10-21 Yuankai Luo , Hongkang Li , Qijiong Liu , Lei Shi , Xiao-Ming Wu

An open source symbolic tool for vector fields analysis 'SymFields' is developed in Python. The SymFields module is constructed upon Python symbolic module sympy, which could only conduct scaler field analysis. With SymFields module, you…

Symbolic Computation · Computer Science 2020-12-22 Nan Chu

In situ scanning transmission electron microscopy enables observation of the domain dynamics in ferroelectric materials as a function of externally applied bias and temperature. The resultant data sets contain a wealth of information on…

We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing Hoop…

Analyzing large, multivariate graphs is an important problem in many domains, yet such graphs are challenging to visualize. In this paper, we introduce a novel, scalable, tree+table multivariate graph visualization technique, which makes…

Human-Computer Interaction · Computer Science 2018-08-03 Carolina Nobre , Marc Streit , Alexander Lex

Persistent homology is an effective method for extracting topological information, represented as persistent diagrams, of spatial structure data. Hence it is well-suited for the study of protein structures. Attempts to incorporate…

Machine Learning · Computer Science 2024-08-01 An Wu , Yu Pan , Fuqi Zhou , Jinghui Yan , Chuanlu Liu

Visualizing high-dimensional data has been a focus in data analysis communities for decades, which has led to the design of many algorithms, some of which are now considered references (such as t-SNE for example). In our era of overwhelming…

Machine Learning · Computer Science 2017-02-21 Johan Paratte , Nathanaël Perraudin , Pierre Vandergheynst

Generative adversarial networks (GANs) have been trained to be professional artists able to create stunning artworks such as face generation and image style transfer. In this paper, we focus on a realistic business scenario: automated…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yinpeng Chen , Zhiyu Pan , Min Shi , Hao Lu , Zhiguo Cao , Weicai Zhong