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In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in…

Operator Algebras · Mathematics 2019-05-29 Snigdhayan Mahanta

Structures and properties of many inorganic compounds have been collected historically. However, it only covers a very small portion of possible inorganic crystals, which implies the presence of numerous currently unknown compounds. A…

Materials Science · Physics 2018-04-18 Atsuto Seko , Hiroyuki Hayashi , Isao Tanaka

A Cayley hyper-digraph is a directed hypergraph that its automorphism group contains a subgroup acting regularly on vertices and a Cayley hypermap is a hypermap whose automorphism group contains a subgroup which induces regular action on…

Combinatorics · Mathematics 2025-04-28 Kai Yuan , Yan Wang

In sequential recommendation systems, data augmentation and contrastive learning techniques have recently been introduced using diffusion models to achieve robust representation learning. However, most of the existing approaches use random…

Information Retrieval · Computer Science 2025-07-17 Jinkyeong Choi , Yejin Noh , Donghyeon Park

Learning deeper convolutional neural networks becomes a tendency in recent years. However, many empirical evidences suggest that performance improvement cannot be gained by simply stacking more layers. In this paper, we consider the issue…

Computer Vision and Pattern Recognition · Computer Science 2016-04-05 Li Shen , Zhouchen Lin , Qingming Huang

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from…

Machine Learning · Computer Science 2016-07-11 James Atwood , Don Towsley

We propose a deep learning-based approach to the problem of premise selection: selecting mathematical statements relevant for proving a given conjecture. We represent a higher-order logic formula as a graph that is invariant to variable…

Artificial Intelligence · Computer Science 2017-10-09 Mingzhe Wang , Yihe Tang , Jian Wang , Jia Deng

This paper proposes a novel heterogeneous grid convolution that builds a graph-based image representation by exploiting heterogeneity in the image content, enabling adaptive, efficient, and controllable computations in a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Ryuhei Hamaguchi , Yasutaka Furukawa , Masaki Onishi , Ken Sakurada

Sequential recommendation models, particularly those based on attention, achieve strong accuracy but incur quadratic complexity, making long user histories prohibitively expensive. Sub-quadratic operators such as Hyena provide efficient…

Information Retrieval · Computer Science 2026-03-27 Jiahao Liu , Lin Li , Zhiyuan Li , Kaixi Hu , Kaize Shi , Jingling Yuan

Bundle recommendations strive to offer users a set of items as a package named bundle, enhancing convenience and contributing to the seller's revenue. While previous approaches have demonstrated notable performance, we argue that they may…

Information Retrieval · Computer Science 2024-12-11 Yang Li , Kangbo Liu , Yaoxin Wu , Zhaoxuan Wang , Erik Cambria , Xiaoxu Wang

In recent years, there has been a surge of interest in developing deep learning methods for non-Euclidean structured data such as graphs. In this paper, we propose Dual-Primal Graph CNN, a graph convolutional architecture that alternates…

Recommender systems are pivotal in enhancing user experiences across various web applications by analyzing the complicated relationships between users and items. Knowledge graphs(KGs) have been widely used to enhance the performance of…

Information Retrieval · Computer Science 2024-07-02 Guangsi Shi , Xiaofeng Deng , Linhao Luo , Lijuan Xia , Lei Bao , Bei Ye , Fei Du , Shirui Pan , Yuxiao Li

The latest advance in recommendation shows that better user and item representations can be learned via performing graph convolutions on the user-item interaction graph. However, such finding is mostly restricted to the collaborative…

Information Retrieval · Computer Science 2022-01-10 Jiancan Wu , Xiangnan He , Xiang Wang , Qifan Wang , Weijian Chen , Jianxun Lian , Xing Xie

Recommender systems play a fundamental role in web applications in filtering massive information and matching user interests. While many efforts have been devoted to developing more effective models in various scenarios, the exploration on…

Machine Learning · Computer Science 2020-08-24 Ninghao Liu , Yong Ge , Li Li , Xia Hu , Rui Chen , Soo-Hyun Choi

Concept recommendation aims to suggest the next concept for learners to study based on their knowledge states and the human knowledge system. While knowledge states can be predicted using knowledge tracing models, previous approaches have…

Information Retrieval · Computer Science 2024-05-22 Qingyao Li , Wei Xia , Kounianhua Du , Qiji Zhang , Weinan Zhang , Ruiming Tang , Yong Yu

The increasing popularity of real-world recommender systems produces data continuously and rapidly, and it becomes more realistic to study recommender systems under streaming scenarios. Data streams present distinct properties such as…

Social and Information Networks · Computer Science 2016-07-22 Shiyu Chang , Yang Zhang , Jiliang Tang , Dawei Yin , Yi Chang , Mark A. Hasegawa-Johnson , Thomas S. Huang

Course enrollment recommendation is a relevant task that helps university students decide what is the best combination of courses to enroll in the next term. In particular, recommender system techniques like matrix factorization and…

Computers and Society · Computer Science 2020-11-26 Nicolas Araque , Germano Rojas , Maria Vitali

Recommender systems have become increasingly vital in our daily lives, helping to alleviate the problem of information overload across various user-oriented online services. The emergence of Large Language Models (LLMs) has yielded…

Information Retrieval · Computer Science 2025-05-29 Shijie Wang , Wenqi Fan , Yue Feng , Shanru Lin , Xinyu Ma , Shuaiqiang Wang , Dawei Yin

As a step beyond traditional personalized recommendation, group recommendation is the task of suggesting items that can satisfy a group of users. In group recommendation, the core is to design preference aggregation functions to obtain a…

Information Retrieval · Computer Science 2022-12-06 Tong Chen , Hongzhi Yin , Jing Long , Quoc Viet Hung Nguyen , Yang Wang , Meng Wang

Recommendation is crucial in both academia and industry, and various techniques are proposed such as content-based collaborative filtering, matrix factorization, logistic regression, factorization machines, neural networks and multi-armed…

Information Retrieval · Computer Science 2019-10-30 Feng Liu , Ruiming Tang , Xutao Li , Weinan Zhang , Yunming Ye , Haokun Chen , Huifeng Guo , Yuzhou Zhang