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In the era of foundation models and Large Language Models (LLMs), Euclidean space is the de facto geometric setting of our machine learning architectures. However, recent literature has demonstrated that this choice comes with fundamental…

Computational Geometry · Computer Science 2025-05-21 Menglin Yang , Yifei Zhang , Jialin Chen , Melanie Weber , Rex Ying

Machine unlearning methods have become increasingly important for selective concept removal in large pre-trained models. While recent work has explored unlearning in Euclidean contrastive vision-language models, the effectiveness of concept…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Àlex Pujol Vidal , Sergio Escalera , Kamal Nasrollahi , Thomas B. Moeslund

Most previous heterogeneous graph embedding models represent elements in a heterogeneous graph as vector representations in a low-dimensional Euclidean space. However, because heterogeneous graphs inherently possess complex structures, such…

Machine Learning · Computer Science 2024-04-16 Jongmin Park , Seunghoon Han , Soohwan Jeong , Sungsu Lim

Structuring latent representations in a hierarchical manner enables models to learn patterns at multiple levels of abstraction. However, most prevalent image understanding models focus on visual similarity, and learning visual hierarchies…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Ziwei Wang , Sameera Ramasinghe , Chenchen Xu , Julien Monteil , Loris Bazzani , Thalaiyasingam Ajanthan

In light of the inherent entailment relations between images and text, hyperbolic point vector embeddings, leveraging the hierarchical modeling advantages of hyperbolic space, have been utilized for visual semantic representation learning.…

Artificial Intelligence · Computer Science 2024-08-21 Zhi Qiao , Linbin Han , Xiantong Zhen , Jia-Hong Gao , Zhen Qian

Learning representations according to the underlying geometry is of vital importance for non-Euclidean data. Studies have revealed that the hyperbolic space can effectively embed hierarchical or tree-like data. In particular, the few past…

Machine Learning · Computer Science 2023-06-16 Eric Qu , Dongmian Zou

The choice of geometric space for knowledge graph (KG) embeddings can have significant effects on the performance of KG completion tasks. The hyperbolic geometry has been shown to capture the hierarchical patterns due to its tree-like…

Machine Learning · Computer Science 2022-11-08 Huiru Xiao , Xin Liu , Yangqiu Song , Ginny Y. Wong , Simon See

Recently there is an increasing scholarly interest in time-varying knowledge graphs, or temporal knowledge graphs (TKG). Previous research suggests diverse approaches to TKG reasoning that uses historical information. However, less…

Machine Learning · Computer Science 2022-09-14 Jihoon Sohn , Mingyu Derek Ma , Muhao Chen

3D-aware visual pretraining has proven effective in improving the performance of downstream robotic manipulation tasks. However, existing methods are constrained to Euclidean embedding spaces, whose flat geometry limits their ability to…

Robotics · Computer Science 2026-03-13 Jin Yang , Ping Wei , Yixin Chen , Nanning Zheng

Temporal Knowledge Graph (TKG) reasoning often involves completing missing factual elements along the timeline. Although existing methods can learn good embeddings for each factual element in quadruples by integrating temporal information,…

Artificial Intelligence · Computer Science 2024-05-02 Zhiyu Fang , Shuai-Long Lei , Xiaobin Zhu , Chun Yang , Shi-Xue Zhang , Xu-Cheng Yin , Jingyan Qin

Within the realm of advanced code retrieval, existing methods have primarily relied on intricate matching and attention-based mechanisms. However, these methods often lead to computational and memory inefficiencies, posing a significant…

Software Engineering · Computer Science 2023-08-30 Xunzhu Tang , zhenghan Chen , Saad Ezzini , Haoye Tian , Yewei Song , Jacques Klein , Tegawende F. Bissyande

Social media is becoming a primary medium to discuss what is happening around the world. Therefore, the data generated by social media platforms contain rich information which describes the ongoing events. Further, the timeliness associated…

Information Retrieval · Computer Science 2021-05-27 Hansi Hettiarachchi , Mariam Adedoyin-Olowe , Jagdev Bhogal , Mohamed Medhat Gaber

Event extraction (EE), which acquires structural event knowledge from texts, can be divided into two sub-tasks: event type classification and element extraction (namely identifying triggers and arguments under different role patterns). As…

Computation and Language · Computer Science 2022-08-19 Qian Li , Shu Guo , Jia Wu , Jianxin Li , Jiawei Sheng , Lihong Wang , Xiaohan Dong , Hao Peng

Cross-lingual word embeddings can be applied to several natural language processing applications across multiple languages. Unlike prior works that use word embeddings based on the Euclidean space, this short paper presents a simple and…

Computation and Language · Computer Science 2022-06-28 Chandni Saxena , Mudit Chaudhary , Helen Meng

There exists a correlation between geospatial activity temporal patterns and type of land use. A novel self-supervised approach is proposed to stratify landscape based on mobility activity time series. First, the time series signal is…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Yi Cao , Swetava Ganguli , Vipul Pandey

We demonstrate the utility of a new methodological tool, neural-network word embedding models, for large-scale text analysis, revealing how these models produce richer insights into cultural associations and categories than possible with…

Computation and Language · Computer Science 2019-11-13 Austin C. Kozlowski , Matt Taddy , James A. Evans

Recent papers in the graph machine learning literature have introduced a number of approaches for hyperbolic representation learning. The asserted benefits are improved performance on a variety of graph tasks, node classification and link…

Machine Learning · Computer Science 2025-02-26 Isay Katsman , Anna Gilbert

Embedding learning, a.k.a. representation learning, has been shown to be able to model large-scale semantic knowledge graphs. A key concept is a mapping of the knowledge graph to a tensor representation whose entries are predicted by models…

Artificial Intelligence · Computer Science 2016-05-10 Volker Tresp , Cristóbal Esteban , Yinchong Yang , Stephan Baier , Denis Krompaß

Visual environments are inherently hierarchical, as a panoramic view naturally encompasses and organizes multiple perspective views within its field. Capturing this hierarchy is crucial for effective perspective-to-equirectangular (P2E)…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Suhan Woo , Seongwon Lee , Jinwoo Jang , Euntai Kim

Network embedding is an effective method to learn low-dimensional representations of nodes, which can be applied to various real-life applications such as visualization, node classification, and link prediction. Although significant…

Machine Learning · Computer Science 2020-03-31 Shixun Huang , Zhifeng Bao , Guoliang Li , Yanghao Zhou , J. Shane Culpepper
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