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Datasets with non-trivial large scale topology can be hard to embed in low-dimensional Euclidean space with existing dimensionality reduction algorithms. We propose to model topologically complex datasets using vector bundles, in such a way…

Computational Geometry · Computer Science 2023-03-17 Luis Scoccola , Jose A. Perea

Continuous-time models are a natural choice for irregular and asynchronous data. A central design choice is how to embed discrete observations into continuous time. Interpolation- and imputation-based embeddings reconstruct a continuous…

Machine Learning · Computer Science 2026-05-29 Benjamin Walker , Alexandre Bloch , Lingyi Yang , Sam Morley , Terry Lyons

In this article I introduce a new communication theory for complex information represented as a direct graph of nodes. In addition, I introduce an application for the theory, a new radical method, embed, that can be used to update object…

Databases · Computer Science 2016-04-11 Heikki Virkkunen

Graph embedding techniques, which learn low-dimensional representations of a graph, are achieving state-of-the-art performance in many graph mining tasks. Most existing embedding algorithms assign a single vector to each node, implicitly…

Social and Information Networks · Computer Science 2020-10-22 Jisung Yoon , Kai-Cheng Yang , Woo-Sung Jung , Yong-Yeol Ahn

One of the prime problems of computer science and machine learning is to extract information efficiently from large-scale, heterogeneous data. Text data, with its syntax, semantics, and even hidden information content, possesses an…

Computation and Language · Computer Science 2024-09-10 Sarmad N. Mohammed , Semra Gündüç

Node embeddings have been attracting increasing attention during the past years. In this context, we propose a new ensemble node embedding approach, called TenSemble2Vec, by first generating multiple embeddings using the existing techniques…

Machine Learning · Computer Science 2020-08-19 Jia Chen , Evangelos E. Papalexakis

Network embedding, which maps graphs to distributed representations, is a unified framework for various graph inference tasks. According to the topology properties (e.g., structural roles and community memberships of nodes) to be preserved,…

Social and Information Networks · Computer Science 2024-10-04 Meng Qin , Dit-Yan Yeung

Current sentence embedding evaluations typically rely on static test beds like the Massive Text Embedding Benchmark (MTEB). While invaluable, repeated tuning on a fixed suite can inflate reported scores and obscure real-world robustness. We…

Computation and Language · Computer Science 2026-03-02 Manuel Frank , Haithem Afli

We present a novel learning method for word embeddings designed for relation classification. Our word embeddings are trained by predicting words between noun pairs using lexical relation-specific features on a large unlabeled corpus. This…

Computation and Language · Computer Science 2015-06-23 Kazuma Hashimoto , Pontus Stenetorp , Makoto Miwa , Yoshimasa Tsuruoka

Similarity query is the family of queries based on some similarity metrics. Unlike the traditional database queries which are mostly based on value equality, similarity queries aim to find targets "similar enough to" the given data objects,…

Databases · Computer Science 2022-04-19 Yifan Wang

Distributed storage systems and databases are widely used by various types of applications. Transactional access to these storage systems is an important abstraction allowing application programmers to consider blocks of actions (i.e.,…

Programming Languages · Computer Science 2023-06-22 Sidi Mohamed Beillahi , Ahmed Bouajjani , Constantin Enea

Conventional word embeddings represent words with fixed vectors, which are usually trained based on co-occurrence patterns among words. In doing so, however, the power of such representations is limited, where the same word might be…

Computation and Language · Computer Science 2020-01-10 Hongming Zhang , Jiaxin Bai , Yan Song , Kun Xu , Changlong Yu , Yangqiu Song , Wilfred Ng , Dong Yu

Low-dimensional vector representations of network nodes have proven successful to feed graph data to machine learning algorithms and to improve performance across diverse tasks. Most of the embedding techniques, however, have been developed…

Physics and Society · Physics 2021-05-04 Koya Sato , Mizuki Oka , Alain Barrat , Ciro Cattuto

Word embedding is an essential building block for deep learning methods for natural language processing. Although word embedding has been extensively studied over the years, the problem of how to effectively embed numerals, a special subset…

Computation and Language · Computer Science 2020-01-14 Chengyue Jiang , Zhonglin Nian , Kaihao Guo , Shanbo Chu , Yinggong Zhao , Libin Shen , Kewei Tu

Popular node embedding methods such as DeepWalk follow the paradigm of performing random walks on the graph, and then requiring each node to be proximate to those appearing along with it. Though proved to be successful in various tasks,…

Machine Learning · Computer Science 2022-05-31 Zhengrong Xue , Ziao Guo , Yiwei Guo

This work presents new tools for studying reachability and set invariance for continuous-time mixed-monotone dynamical systems subject to a disturbance input. The vector field of a mixed-monotone system is decomposable via a decomposition…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Matthew Abate , Samuel Coogan

This paper investigates advanced storage models for evolving graphs, focusing on the efficient management of historical data and the optimization of global query performance. Evolving graphs, which represent dynamic relationships between…

Databases · Computer Science 2025-04-25 Alexandros Spitalas , Anastasios Gounaris , Andreas Kosmatopoulos , Kostas Tsichlas

We present FastRP, a scalable and performant algorithm for learning distributed node representations in a graph. FastRP is over 4,000 times faster than state-of-the-art methods such as DeepWalk and node2vec, while achieving comparable or…

Social and Information Networks · Computer Science 2019-09-02 Haochen Chen , Syed Fahad Sultan , Yingtao Tian , Muhao Chen , Steven Skiena

Knowledge graph embedding, which aims to learn the low-dimensional representations of entities and relationships, has attracted considerable research efforts recently. However, most knowledge graph embedding methods focus on the structural…

Machine Learning · Computer Science 2020-07-23 Yonghui Xu , Shengjie Sun , Yuan Miao , Dong Yang , Xiaonan Meng , Yi Hu , Ke Wang , Hengjie Song , Chuanyan Miao

Time-delay embedding is a fundamental technique in Topological Data Analysis (TDA) for reconstructing the phase space dynamics of time-series data. Persistent homology effectively identifies global topological features, such as loops…

Statistics Theory · Mathematics 2026-04-21 Donghyun Park , Junhyun An , Taehyoung Kim , Jisu Kim